From 56cdba1dba79d32a0ca0c4935b9c6deb91617f0a Mon Sep 17 00:00:00 2001 From: Niko Vujic Date: Mon, 22 Sep 2025 12:36:32 +0200 Subject: [PATCH] zamjenjene decimalne tocke u decimalne zareze --- ...vanje_cvrstoce_fdm_3d_printanog_uzorka.aux | 2 +- ...rstoce_fdm_3d_printanog_uzorka.fdb_latexmk | 18 +- ...vanje_cvrstoce_fdm_3d_printanog_uzorka.fls | 16 +- ...vanje_cvrstoce_fdm_3d_printanog_uzorka.log | 213 +++--- ...vanje_cvrstoce_fdm_3d_printanog_uzorka.pdf | Bin 9450721 -> 9450896 bytes ...vanje_cvrstoce_fdm_3d_printanog_uzorka.tex | 647 +++++++++--------- 6 files changed, 445 insertions(+), 451 deletions(-) diff --git a/radno/ispitivanje_cvrstoce_fdm_3d_printanog_uzorka.aux b/radno/ispitivanje_cvrstoce_fdm_3d_printanog_uzorka.aux index 4c984c3..3f5f53e 100644 --- a/radno/ispitivanje_cvrstoce_fdm_3d_printanog_uzorka.aux +++ b/radno/ispitivanje_cvrstoce_fdm_3d_printanog_uzorka.aux @@ -364,4 +364,4 @@ \abx@aux@defaultrefcontext{0}{cojocaru2025dogbone}{none/global//global/global/global} \abx@aux@defaultrefcontext{0}{AzureFilmPLA}{none/global//global/global/global} \abx@aux@defaultrefcontext{0}{Stamopoulos2020}{none/global//global/global/global} -\gdef \@abspage@last{73} +\gdef \@abspage@last{74} diff --git a/radno/ispitivanje_cvrstoce_fdm_3d_printanog_uzorka.fdb_latexmk b/radno/ispitivanje_cvrstoce_fdm_3d_printanog_uzorka.fdb_latexmk index 3ae3d67..9ef87db 100644 --- a/radno/ispitivanje_cvrstoce_fdm_3d_printanog_uzorka.fdb_latexmk +++ b/radno/ispitivanje_cvrstoce_fdm_3d_printanog_uzorka.fdb_latexmk @@ -1,12 +1,12 @@ # Fdb version 4 -["biber ispitivanje_cvrstoce_fdm_3d_printanog_uzorka"] 1758218510.7173 "ispitivanje_cvrstoce_fdm_3d_printanog_uzorka.bcf" "ispitivanje_cvrstoce_fdm_3d_printanog_uzorka.bbl" "ispitivanje_cvrstoce_fdm_3d_printanog_uzorka" 1758218942.02302 0 - "ispitivanje_cvrstoce_fdm_3d_printanog_uzorka.bcf" 1758218941.92662 110904 3e655db590221cfac4d4563ea6c617ed "pdflatex" +["biber ispitivanje_cvrstoce_fdm_3d_printanog_uzorka"] 1758218510.7173 "ispitivanje_cvrstoce_fdm_3d_printanog_uzorka.bcf" "ispitivanje_cvrstoce_fdm_3d_printanog_uzorka.bbl" "ispitivanje_cvrstoce_fdm_3d_printanog_uzorka" 1758537326.38066 0 + "ispitivanje_cvrstoce_fdm_3d_printanog_uzorka.bcf" 1758537326.27654 110904 3e655db590221cfac4d4563ea6c617ed "pdflatex" "literatura.bib" 1757420042.10282 8141 f9c59bb794b0aa08f1067ce92ccf1bd8 "" (generated) "ispitivanje_cvrstoce_fdm_3d_printanog_uzorka.bbl" "ispitivanje_cvrstoce_fdm_3d_printanog_uzorka.blg" (rewritten before read) -["pdflatex"] 1758218939.86372 "ispitivanje_cvrstoce_fdm_3d_printanog_uzorka.tex" "ispitivanje_cvrstoce_fdm_3d_printanog_uzorka.pdf" "ispitivanje_cvrstoce_fdm_3d_printanog_uzorka" 1758218942.02327 0 +["pdflatex"] 1758537324.2029 "ispitivanje_cvrstoce_fdm_3d_printanog_uzorka.tex" "ispitivanje_cvrstoce_fdm_3d_printanog_uzorka.pdf" "ispitivanje_cvrstoce_fdm_3d_printanog_uzorka" 1758537326.3809 0 "/etc/texmf/web2c/texmf.cnf" 1741769514 43179 d4d8625c4224f516afc2b9ae03b45f2d "" "/usr/share/texmf/fonts/enc/dvips/base/8r.enc" 1165713224 4850 80dc9bab7f31fb78a000ccfed0e27cab "" "/usr/share/texmf/fonts/enc/dvips/inconsolata/i4-ot1-0.enc" 1561323594 2496 4d35740f3a177992ff7b134746c0a1db "" @@ -158,13 +158,13 @@ "/usr/share/texmf/web2c/texmf.cnf" 1741769514 43179 d4d8625c4224f516afc2b9ae03b45f2d "" "/var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map" 1743149983 5467020 ca0c94f2ee48321ee55e91e42ecff204 "" "/var/lib/texmf/web2c/pdftex/pdflatex.fmt" 1743149993 3345506 2fd014ec6c5db62599a88e1145e5502c "" - 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(pdftex.def) Requested size: 409.71692pt x 230.25694pt. @@ -2003,13 +2005,13 @@ Package fancyhdr Warning: \headheight is too small (12.0pt): (fancyhdr) \addtolength{\topmargin}{-2.49998pt}. [52 <./media/imgs/anova_smik/graf_smik.jpg>] -Overfull \hbox (0.26129pt too wide) in paragraph at lines 2021--2022 +Overfull \hbox (0.26129pt too wide) in paragraph at lines 2020--2021 \OT1/phv/m/n/12 Tuma[]cenje ovis-nosti sile o mi-ni-mal-noj povr[]sini po-pre[] cnog pre-sjeka mo[]zemo do-biti jed-nad[]zbom [] -Overfull \hbox (4.0499pt too wide) in paragraph at lines 2032--2034 +Overfull \hbox (4.0499pt too wide) in paragraph at lines 2031--2033 \OT1/phv/m/n/12 Kako bi mo-gli de-fi-ni-rati ko-liko do-bro li-ne-arni mo-del o bja[]snjava na[]se po-datke, mo[]zemo izra[]cunati [] @@ -2024,33 +2026,26 @@ Package fancyhdr Warning: \headheight is too small (12.0pt): (fancyhdr) \addtolength{\topmargin}{-2.49998pt}. 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zYgL0#>9<;AO-5+3ORHLhw&;J9nS#(4uV^(Dp({3XLf8BjH(#~*{Vj_>-?8}nltov( z#obDKyk&(&_+*QyUKTNwao<}c+PU_W%NDL%`Z#0IUeHggSR#&yClb(}A8qFfyX1c~ WN0M=uW;Ku?3NkS;3MC~)Peuxmch#c+ diff --git a/radno/ispitivanje_cvrstoce_fdm_3d_printanog_uzorka.tex b/radno/ispitivanje_cvrstoce_fdm_3d_printanog_uzorka.tex index ff8f468..545b77a 100644 --- a/radno/ispitivanje_cvrstoce_fdm_3d_printanog_uzorka.tex +++ b/radno/ispitivanje_cvrstoce_fdm_3d_printanog_uzorka.tex @@ -104,6 +104,7 @@ \begin{document} \pagenumbering{Roman} % rimske brojke za sadržaj, uvodnu stranu itd. +\begin{justify} % -------------------------------------------- % Vanjska naslovnica % -------------------------------------------- @@ -215,7 +216,6 @@ \clearpage \pagestyle{mainstyle} -\begin{justify} \pagebreak \section*{Sažetak} @@ -228,7 +228,7 @@ U ovom radu istraživan je utjecaj odabranih parametara FDM ispisa na mehanička \pagebreak \section*{Abstract} -This thesis investigates the influence of selected FDM printing parameters on the mechanical properties of PLA specimens. The analyzed parameters include layer height, extrusion width, infill percentage, layer orientation, and wall thickness, while other printing conditions were kept constant. Experiments were conducted using the Taguchi method, and results were analyzed with ANOVA. The findings show that layer orientation has the greatest impact on tensile strength (23\% of total variability), with parallel layers achieving an average strength of 29.88 MPa compared to 21.94 MPa for vertical orientation. The number of walls contributed 16.3\%, while the effects of other parameters were below 10\%. For shear strength, the most influential factor was infill percentage (43.2\%), where increasing infill from 20\% to 85\% raised the average strength from 23.67 MPa to 34.13 MPa. These results confirm that proper selection of printing parameters can significantly improve the mechanical properties of 3D printed components and provide guidelines for FDM process optimization in engineering applications. +This thesis investigates the influence of selected FDM printing parameters on the mechanical properties of PLA specimens. The analyzed parameters include layer height, extrusion width, infill percentage, layer orientation, and wall thickness, while other printing conditions were kept constant. Experiments were conducted using the Taguchi method, and results were analyzed with ANOVA. The findings show that layer orientation has the greatest impact on tensile strength (23\% of total variability), with parallel layers achieving an average strength of 29,88 MPa compared to 21,94 MPa for vertical orientation. The number of walls contributed 16,3\%, while the effects of other parameters were below 10\%. For shear strength, the most influential factor was infill percentage (43,2\%), where increasing infill from 20\% to 85\% raised the average strength from 23,67 MPa to 34,13 MPa. These results confirm that proper selection of printing parameters can significantly improve the mechanical properties of 3D printed components and provide guidelines for FDM process optimization in engineering applications. \bigskip @@ -265,9 +265,9 @@ FDM tehnologija temelji se na procesu taloženja materijala po slojevima, pri č Proces izrade strojnog dijela može se podijeliti u sljedeće korake: \begin{enumerate} - \item Priprema modela - \item Zagrijavanje i ekstrudiranje - \item Izgradnja slojeva + \item Priprema modela. + \item Zagrijavanje i ekstrudiranje. + \item Izgradnja slojeva. \end{enumerate} \bigskip @@ -292,26 +292,26 @@ Stroj pomiče mlaznicu ili podlogu (ovisno o izvedbi) po osima X, Y i Z te sloj Parametre ispisa početno možemo podijeliti u tri glavne skupine. \begin{enumerate} - \item Parametri povezani s obradom materijala - \subitem Temperatura mlaznice - \subitem Temperatura podloge - \subitem Brzina hlađenja (diktirana hlađenjem glave stroja) - \subitem Vrsta materijala - \subitem Promjer i tip filamenta - \item Parametri povezani s dinamikom stroja - \subitem Brzina ispisa - \subitem Akceleracija i trzaj (jerk) - \subitem Retrakcija materijala - \subitem Visina Z-podizanja pri preskakanju (Z-hop) - \subitem Kalibracija osi i tolerancije - \item Parametri povezani s geometrijom objekta - \subitem Visina sloja - \subitem Širina ekstruzije - \subitem Postotak ispune - \subitem Debljina gornjih i donjih slojeva - \subitem Vrsta ispune - \subitem Orijentacija modela na radnoj podlozi - \subitem Broj slojeva stijenke + \item Parametri povezani s obradom materijala: + \subitem Temperatura mlaznice. + \subitem Temperatura podloge. + \subitem Brzina hlađenja (diktirana hlađenjem glave stroja). + \subitem Vrsta materijala. + \subitem Promjer i tip filamenta. + \item Parametri povezani s dinamikom stroja: + \subitem Brzina ispisa. + \subitem Akceleracija i trzaj (jerk). + \subitem Retrakcija materijala. + \subitem Visina Z-podizanja pri preskakanju (Z-hop). + \subitem Kalibracija osi i tolerancije. + \item Parametri povezani s geometrijom objekta: + \subitem Visina sloja. + \subitem Širina ekstruzije. + \subitem Postotak ispune. + \subitem Debljina gornjih i donjih slojeva. + \subitem Vrsta ispune. + \subitem Orijentacija modela na radnoj podlozi. + \subitem Broj slojeva stijenke. \end{enumerate} \subsection{Opis relevantnih parametara ispisa}\label{subsec:opis_relevantnih_parametara_ispisa} @@ -608,10 +608,10 @@ U klasičnom pristupu, ako postoji $k$ faktora, svaki s $l$ razina, potrebno je \noindent Glavne prednosti metode su sljedeće:\\ \begin{itemize} - \item značajno smanjenje broja eksperimenata - \item jednostavna statistička obrada podataka - \item robusna optimizacija čak i uz prisustvo vanjskih smetnji - \item mogućnost donošenja zaključaka o važnosti pojedinih faktora i (što je vrlo važno) interakcija između tih faktora + \item značajno smanjenje broja eksperimenata, + \item jednostavna statistička obrada podataka, + \item robusna optimizacija čak i uz prisustvo vanjskih smetnji, + \item mogućnost donošenja zaključaka o važnosti pojedinih faktora i (što je vrlo važno) interakcija između tih faktora. \end{itemize} \noindent U ovom radu koristit će se Taguchijeva metoda kako bi se utvrdio utjecaj 5 faktora ispisa (visina sloja, širina ekstruzije, postotak ispune, orijentacija modela i broj slojeva stijenke) na mehaničku čvrstoću ispitnih uzoraka izrađenih FDM tehnologijom. Za svaki eksperimentalni uzorak mjerit će se vlačna i smična čvrstoća, a S/N omjer koristit će se za procjenu optimalne kombinacije parametara i njihove robusnosti. @@ -714,11 +714,11 @@ Prema članku \cite{hermann2019layerheight}, nadovezanom na istraživanje \cite{ \hline \textbf{Visina sloja} & \textbf{Postotak promjera mlaznice} & \textbf{Promjer mlaznice} \\ \hline - 0.08mm & 20\% & 0.4mm \\ + 0,08mm & 20\% & 0,4mm \\ \hline - 0.14mm & 35\% & 0.4mm \\ + 0,14mm & 35\% & 0,4mm \\ \hline - 0.28mm & 70\% & 0.4mm \\ + 0,28mm & 70\% & 0,4mm \\ \hline \end{tabular} \caption*{\textit{Izvor: autor}} @@ -735,18 +735,18 @@ Prema članku \cite{hermann2019extrusionwidth}, ispitano je 8 širina ekstruzije \hline \textbf{Širina ekstruzije} & \textbf{Postotak promjera mlaznice} & \textbf{Promjer mlaznice}\\ \hline - 0.4mm & 100\% & 0.4mm \\ + 0,4mm & 100\% & 0,4mm \\ \hline - 0.6mm & 150\% & 0.4mm \\ + 0,6mm & 150\% & 0,4mm \\ \hline - 0.8mm & 200\% & 0.4mm \\ + 0,8mm & 200\% & 0,4mm \\ \hline \end{tabular} \caption*{\textit{Izvor: autor}} \end{table} \subsubsection{Odabir konfiguracije postotka ispune}\label{subsubsec:odabir_konfiguracije_postotka_ispune} -Prema istraživanju \cite{daly2024infillCFPETG} ispitana su 4 različita postotka ispune u rasponu od 20\% do 100\%. U ovome ispitivanju bit će odabrana tri različita postotka ispune, počevši od 20\% (u praksi minimum za funkcionalne modele) do 85\% (gotovo potpuno ispunjen komad). Razlog zašto gornja granica nije fiksirana na 100\% je to što na takvim (ekstremnim) postocima ispune dolazi do velikog preklapanja linija slojeva zbog same geometrije ispune, što otežava razlikovanje promjene čvrstoće promjenom širine ekstruzije u odnosu na promjenu ispune. Iz tog je razloga odabran postotak ispune koji će ipak pustiti prazan prostor između tragova ispitnog uzorka. Na slici \ref{fig:usporedba_postotka_ispune} vidljivo je da pri širini ekstruzije od 100\% (0.4mm), na 100\% ispune nema preklapanja tragova, dok bi svakim povećanjem preko te granice došlo do znatnog preklapanja istih. U tablici \ref{tab:konfiguracija_postotka_ispune} prikazani su odabrani postoci ispune koji će biti ispitani. +Prema istraživanju \cite{daly2024infillCFPETG} ispitana su 4 različita postotka ispune u rasponu od 20\% do 100\%. U ovome ispitivanju bit će odabrana tri različita postotka ispune, počevši od 20\% (u praksi minimum za funkcionalne modele) do 85\% (gotovo potpuno ispunjen komad). Razlog zašto gornja granica nije fiksirana na 100\% je to što na takvim (ekstremnim) postocima ispune dolazi do velikog preklapanja linija slojeva zbog same geometrije ispune, što otežava razlikovanje promjene čvrstoće promjenom širine ekstruzije u odnosu na promjenu ispune. Iz tog je razloga odabran postotak ispune koji će ipak pustiti prazan prostor između tragova ispitnog uzorka. Na slici \ref{fig:usporedba_postotka_ispune} vidljivo je da pri širini ekstruzije od 100\% (0,4mm), na 100\% ispune nema preklapanja tragova, dok bi svakim povećanjem preko te granice došlo do znatnog preklapanja istih. U tablici \ref{tab:konfiguracija_postotka_ispune} prikazani su odabrani postoci ispune koji će biti ispitani. \begin{figure}[H] \centering @@ -765,11 +765,11 @@ Prema istraživanju \cite{daly2024infillCFPETG} ispitana su 4 različita postotk \hline \textbf{Postotak ispune} & \textbf{Promjer mlaznice}\\ \hline - 20\% & 0.4mm \\ + 20\% & 0,4mm \\ \hline - 55\% & 0.4mm \\ + 55\% & 0,4mm \\ \hline - 85\% & 0.4mm \\ + 85\% & 0,4mm \\ \hline \end{tabular} \caption*{\textit{Izvor: autor}} @@ -799,9 +799,9 @@ U tablici \ref{tab:sumarni_parametri} prikazan je sažetak svih ispitivanih para \hline \textbf{Parametar} & \textbf{Vrijednosti} \\ \hline - Visina sloja & 0.08\,mm, 0.14\,mm, 0.28\,mm \\ + Visina sloja & 0,08\,mm, 0,14\,mm, 0,28\,mm \\ \hline - Širina ekstruzije & 0.4\,mm, 0.6\,mm, 0.8\,mm \\ + Širina ekstruzije & 0,4\,mm, 0,6\,mm, 0,8\,mm \\ \hline Postotak ispune & 20\%, 55\%, 85\% \\ \hline @@ -849,14 +849,14 @@ Ispitivanje vlačne čvrstoće radit će se statičkim vlačnim pokusom na unive \textbf{Parametar} & \textbf{Vrijednosti} & \textbf{Broj varijacija} \\ \hline \multirow{3}{*}{Visina sloja} - & 0.08\,mm & \multirow{3}{*}{3} \\ - & 0.14\,mm & \\ - & 0.28\,mm & \\ + & 0,08\,mm & \multirow{3}{*}{3} \\ + & 0,14\,mm & \\ + & 0,28\,mm & \\ \hline \multirow{3}{*}{Širina ekstruzije} - & 0.4\,mm & \multirow{3}{*}{3} \\ - & 0.6\,mm & \\ - & 0.8\,mm & \\ + & 0,4\,mm & \multirow{3}{*}{3} \\ + & 0,6\,mm & \\ + & 0,8\,mm & \\ \hline \multirow{3}{*}{Postotak ispune} & 20\% & \multirow{3}{*}{3} \\ @@ -887,24 +887,24 @@ Ispitivanje vlačne čvrstoće radit će se statičkim vlačnim pokusom na unive \hline \textbf{Eksperiment} & \textbf{Orijentacija} & \textbf{Visina sloja} & \textbf{Širina ekstruzije} & \textbf{Postotak ispune} & \textbf{Broj slojeva stijenke} \\ \hline -1 & Orijentacija 1 & 0.08\,mm & 0.4\,mm & 20\% & 2 \\ -2 & Orijentacija 1 & 0.08\,mm & 0.6\,mm & 55\% & 4 \\ -3 & Orijentacija 1 & 0.08\,mm & 0.8\,mm & 85\% & 6 \\ -4 & Orijentacija 1 & 0.14\,mm & 0.4\,mm & 55\% & 6 \\ -5 & Orijentacija 1 & 0.14\,mm & 0.6\,mm & 85\% & 2 \\ -6 & Orijentacija 1 & 0.14\,mm & 0.8\,mm & 20\% & 4 \\ -7 & Orijentacija 1 & 0.28\,mm & 0.4\,mm & 85\% & 4 \\ -8 & Orijentacija 1 & 0.28\,mm & 0.6\,mm & 20\% & 6 \\ -9 & Orijentacija 1 & 0.28\,mm & 0.8\,mm & 55\% & 2 \\ -10 & Orijentacija 2 & 0.08\,mm & 0.4\,mm & 85\% & 4 \\ -11 & Orijentacija 2 & 0.08\,mm & 0.6\,mm & 20\% & 6 \\ -12 & Orijentacija 2 & 0.08\,mm & 0.8\,mm & 55\% & 2 \\ -13 & Orijentacija 2 & 0.14\,mm & 0.4\,mm & 20\% & 6 \\ -14 & Orijentacija 2 & 0.14\,mm & 0.6\,mm & 55\% & 2 \\ -15 & Orijentacija 2 & 0.14\,mm & 0.8\,mm & 85\% & 4 \\ -16 & Orijentacija 2 & 0.28\,mm & 0.4\,mm & 55\% & 4 \\ -17 & Orijentacija 2 & 0.28\,mm & 0.6\,mm & 85\% & 6 \\ -18 & Orijentacija 2 & 0.28\,mm & 0.8\,mm & 20\% & 2 \\ +1 & Orijentacija 1 & 0,08\,mm & 0,4\,mm & 20\% & 2 \\ +2 & Orijentacija 1 & 0,08\,mm & 0,6\,mm & 55\% & 4 \\ +3 & Orijentacija 1 & 0,08\,mm & 0,8\,mm & 85\% & 6 \\ +4 & Orijentacija 1 & 0,14\,mm & 0,4\,mm & 55\% & 6 \\ +5 & Orijentacija 1 & 0,14\,mm & 0,6\,mm & 85\% & 2 \\ +6 & Orijentacija 1 & 0,14\,mm & 0,8\,mm & 20\% & 4 \\ +7 & Orijentacija 1 & 0,28\,mm & 0,4\,mm & 85\% & 4 \\ +8 & Orijentacija 1 & 0,28\,mm & 0,6\,mm & 20\% & 6 \\ +9 & Orijentacija 1 & 0,28\,mm & 0,8\,mm & 55\% & 2 \\ +10 & Orijentacija 2 & 0,08\,mm & 0,4\,mm & 85\% & 4 \\ +11 & Orijentacija 2 & 0,08\,mm & 0,6\,mm & 20\% & 6 \\ +12 & Orijentacija 2 & 0,08\,mm & 0,8\,mm & 55\% & 2 \\ +13 & Orijentacija 2 & 0,14\,mm & 0,4\,mm & 20\% & 6 \\ +14 & Orijentacija 2 & 0,14\,mm & 0,6\,mm & 55\% & 2 \\ +15 & Orijentacija 2 & 0,14\,mm & 0,8\,mm & 85\% & 4 \\ +16 & Orijentacija 2 & 0,28\,mm & 0,4\,mm & 55\% & 4 \\ +17 & Orijentacija 2 & 0,28\,mm & 0,6\,mm & 85\% & 6 \\ +18 & Orijentacija 2 & 0,28\,mm & 0,8\,mm & 20\% & 2 \\ \hline \end{tabular} } @@ -924,14 +924,14 @@ Ispitivanje smične čvrstoće bit će izvedeno uzorkom s V-utorom na linearnim \textbf{Parametar} & \textbf{Vrijednosti} & \textbf{Broj varijacija} \\ \hline \multirow{3}{*}{Visina sloja} - & 0.08\,mm & \multirow{3}{*}{3} \\ - & 0.14\,mm & \\ - & 0.28\,mm & \\ + & 0,08\,mm & \multirow{3}{*}{3} \\ + & 0,14\,mm & \\ + & 0,28\,mm & \\ \hline \multirow{3}{*}{Širina ekstruzije} - & 0.4\,mm & \multirow{3}{*}{3} \\ - & 0.6\,mm & \\ - & 0.8\,mm & \\ + & 0,4\,mm & \multirow{3}{*}{3} \\ + & 0,6\,mm & \\ + & 0,8\,mm & \\ \hline \multirow{3}{*}{Postotak ispune} & 20\% & \multirow{3}{*}{3} \\ @@ -967,33 +967,33 @@ odgovara matrici L27 koja sadržava pet faktora po tri razine, te zahtjeva 27 ek \hline \textbf{Eksperiment} & \textbf{Orijentacija} & \textbf{Visina sloja} & \textbf{Širina ekstruzije} & \textbf{Postotak ispune} & \textbf{Broj slojeva stijenke} \\ \hline -1 & Orijentacija 1 & 0.08\,mm & 0.4\,mm & 20\% & 2 \\ -2 & Orijentacija 2 & 0.08\,mm & 0.4\,mm & 55\% & 4 \\ -3 & Orijentacija 3 & 0.08\,mm & 0.4\,mm & 85\% & 6 \\ -4 & Orijentacija 2 & 0.08\,mm & 0.6\,mm & 20\% & 6 \\ -5 & Orijentacija 3 & 0.08\,mm & 0.6\,mm & 55\% & 2 \\ -6 & Orijentacija 1 & 0.08\,mm & 0.6\,mm & 85\% & 4 \\ -7 & Orijentacija 3 & 0.08\,mm & 0.8\,mm & 20\% & 4 \\ -8 & Orijentacija 1 & 0.08\,mm & 0.8\,mm & 55\% & 6 \\ -9 & Orijentacija 2 & 0.08\,mm & 0.8\,mm & 85\% & 2 \\ -10 & Orijentacija 2 & 0.14\,mm & 0.4\,mm & 20\% & 6 \\ -11 & Orijentacija 3 & 0.14\,mm & 0.4\,mm & 55\% & 2 \\ -12 & Orijentacija 1 & 0.14\,mm & 0.4\,mm & 85\% & 4 \\ -13 & Orijentacija 3 & 0.14\,mm & 0.6\,mm & 20\% & 4 \\ -14 & Orijentacija 1 & 0.14\,mm & 0.6\,mm & 55\% & 6 \\ -15 & Orijentacija 2 & 0.14\,mm & 0.6\,mm & 85\% & 2 \\ -16 & Orijentacija 1 & 0.14\,mm & 0.8\,mm & 20\% & 2 \\ -17 & Orijentacija 2 & 0.14\,mm & 0.8\,mm & 55\% & 4 \\ -18 & Orijentacija 3 & 0.14\,mm & 0.8\,mm & 85\% & 6 \\ -19 & Orijentacija 3 & 0.28\,mm & 0.4\,mm & 20\% & 4 \\ -20 & Orijentacija 1 & 0.28\,mm & 0.4\,mm & 55\% & 6 \\ -21 & Orijentacija 2 & 0.28\,mm & 0.4\,mm & 85\% & 2 \\ -22 & Orijentacija 1 & 0.28\,mm & 0.6\,mm & 20\% & 4 \\ -23 & Orijentacija 2 & 0.28\,mm & 0.6\,mm & 55\% & 6 \\ -24 & Orijentacija 3 & 0.28\,mm & 0.6\,mm & 85\% & 2 \\ -25 & Orijentacija 2 & 0.28\,mm & 0.8\,mm & 20\% & 2 \\ -26 & Orijentacija 3 & 0.28\,mm & 0.8\,mm & 55\% & 4 \\ -27 & Orijentacija 1 & 0.28\,mm & 0.8\,mm & 85\% & 6 \\ +1 & Orijentacija 1 & 0,08\,mm & 0,4\,mm & 20\% & 2 \\ +2 & Orijentacija 2 & 0,08\,mm & 0,4\,mm & 55\% & 4 \\ +3 & Orijentacija 3 & 0,08\,mm & 0,4\,mm & 85\% & 6 \\ +4 & Orijentacija 2 & 0,08\,mm & 0,6\,mm & 20\% & 6 \\ +5 & Orijentacija 3 & 0,08\,mm & 0,6\,mm & 55\% & 2 \\ +6 & Orijentacija 1 & 0,08\,mm & 0,6\,mm & 85\% & 4 \\ +7 & Orijentacija 3 & 0,08\,mm & 0,8\,mm & 20\% & 4 \\ +8 & Orijentacija 1 & 0,08\,mm & 0,8\,mm & 55\% & 6 \\ +9 & Orijentacija 2 & 0,08\,mm & 0,8\,mm & 85\% & 2 \\ +10 & Orijentacija 2 & 0,14\,mm & 0,4\,mm & 20\% & 6 \\ +11 & Orijentacija 3 & 0,14\,mm & 0,4\,mm & 55\% & 2 \\ +12 & Orijentacija 1 & 0,14\,mm & 0,4\,mm & 85\% & 4 \\ +13 & Orijentacija 3 & 0,14\,mm & 0,6\,mm & 20\% & 4 \\ +14 & Orijentacija 1 & 0,14\,mm & 0,6\,mm & 55\% & 6 \\ +15 & Orijentacija 2 & 0,14\,mm & 0,6\,mm & 85\% & 2 \\ +16 & Orijentacija 1 & 0,14\,mm & 0,8\,mm & 20\% & 2 \\ +17 & Orijentacija 2 & 0,14\,mm & 0,8\,mm & 55\% & 4 \\ +18 & Orijentacija 3 & 0,14\,mm & 0,8\,mm & 85\% & 6 \\ +19 & Orijentacija 3 & 0,28\,mm & 0,4\,mm & 20\% & 4 \\ +20 & Orijentacija 1 & 0,28\,mm & 0,4\,mm & 55\% & 6 \\ +21 & Orijentacija 2 & 0,28\,mm & 0,4\,mm & 85\% & 2 \\ +22 & Orijentacija 1 & 0,28\,mm & 0,6\,mm & 20\% & 4 \\ +23 & Orijentacija 2 & 0,28\,mm & 0,6\,mm & 55\% & 6 \\ +24 & Orijentacija 3 & 0,28\,mm & 0,6\,mm & 85\% & 2 \\ +25 & Orijentacija 2 & 0,28\,mm & 0,8\,mm & 20\% & 2 \\ +26 & Orijentacija 3 & 0,28\,mm & 0,8\,mm & 55\% & 4 \\ +27 & Orijentacija 1 & 0,28\,mm & 0,8\,mm & 85\% & 6 \\ \hline \end{tabular} } @@ -1007,8 +1007,7 @@ Iako su metode ispitivanja standardizirane, zbog specifičnih svojstava 3D print \subsubsection{Interakcija postotka ispune i širine ekstruzije}\label{subsubsec:interakcija_postotka_ispune_i_širine_ekstruzije} -Kako je navedeno u poglavlju \ref{subsubsec:odabir_konfiguracije_postotka_ispune} potrebno je pustiti dovoljno prostora između tragova ispune i stijenke, kako utjecaj širine ekstruzije ne bi u graničnim slučajevima utjecao na preklapanje tragova. Izrađen je te prerezan model kvadratnog površinskog presjeka 10x10mm (prema slici \ref{fig:epruveta_s_prihvatom}) te je pokazano da na širini ekstruzije od 200\% sa mlaznicom promjera 0.4mm pri 85\% ispune granično nema dodirivanja -tragova u presjeku. +Kako je navedeno u poglavlju \ref{subsubsec:odabir_konfiguracije_postotka_ispune} potrebno je pustiti dovoljno prostora između tragova ispune i stijenke, kako utjecaj širine ekstruzije ne bi u graničnim slučajevima utjecao na preklapanje tragova. Izrađen je te prerezan model kvadratnog površinskog presjeka 10x10mm (prema slici \ref{fig:epruveta_s_prihvatom}) te je pokazano da na širini ekstruzije od 200\% sa mlaznicom promjera 0,4mm pri 85\% ispune granično nema dodirivanja tragova u presjeku. \subsubsection{Orijentacija izrade i prihvat epruvete}\label{subsubsec:orijentacija_izrade} Kako bi geometrijske karakteristike izrađenih ispitnih uzoraka bile što konzistentnije, potrebno je osmisliti ispitni uzorak bez prevjesa (kako bi izbjegli potporni materijal) te je također potrebno paziti da se isti može izraditi u sve tri orijentacije. Na slikama \ref{fig:epruveta_bez_potpore} i \ref{fig:epruveta_sa_potporom} prikazana je standardna ispitna epruveta u sve tri orijentacije. Možemo primijetiti kako u trećoj (najdesnijoj) konfiguraciji epruveta zahtjeva potporni materijal, koji će na toj plohi promijeniti kvalitetu površine, te promijeniti geometriju same epruvete. @@ -1138,18 +1137,18 @@ U svrhu eksperimenta korišteni su sljedeći materijali i oprema, te su sva meha \hline \textbf{Svojstva 3D printanog uzorka} & \textbf{Test condition} & \textbf{PLA} \\ \hline -Tensile modulus [GPa] & 1 mm/min & 3.3 \\ +Tensile modulus [GPa] & 1 mm/min & 3,3 \\ \hline -Tensile strength [MPa] & 50 mm/min & 59.0 \\ +Tensile strength [MPa] & 50 mm/min & 59,0 \\ \hline -Strain at break (Tensile) [\%] & 50 mm/min & 4.2 \\ +Strain at break (Tensile) [\%] & 50 mm/min & 4,2 \\ \hline -Strain at tensile strength [\%] & 50 mm/min & 3.8 \\ \hline -Flexural modulus [GPa] & 2 mm/min & 2.8 \\ \hline -Flexural strength [MPa] & 2 mm/min & 73.6 \\ \hline -Flexural strain at flexural strength [\%] & 2 mm/min & 3.3 \\ \hline -Strain at break (Flexural) [\%] & 2 mm/min & 3.3 \\ \hline -Charpy unnotched [kJ/m$^2$] & 23 °C & 10.4 \\ \hline +Strain at tensile strength [\%] & 50 mm/min & 3,8 \\ \hline +Flexural modulus [GPa] & 2 mm/min & 2,8 \\ \hline +Flexural strength [MPa] & 2 mm/min & 73,6 \\ \hline +Flexural strain at flexural strength [\%] & 2 mm/min & 3,3 \\ \hline +Strain at break (Flexural) [\%] & 2 mm/min & 3,3 \\ \hline +Charpy unnotched [kJ/m$^2$] & 23 °C & 10,4 \\ \hline \end{tabular} \caption*{\textit{Izvor: Autor obradio prema \cite{AzureFilmPLA}}} \end{table} @@ -1240,9 +1239,9 @@ Ispitni uzorci izrađeni su na 3D printeru \textit{Bambu Lab P1S}, korištenjem \hline Pripremni volumen filamenta (prime volume) & $45\mathrm{mm^2}$\\ \hline - Promjer filamenta & $1.75\mathrm{mm}$ \\ + Promjer filamenta & $1,75 \mathrm{mm}$ \\ \hline - Temperatura smekšavanja & $45\mathrm{\degree C}$\\ + Temperatura smekšavanja & $45 \mathrm{\degree C}$\\ \hline Temperatura mlaznice & $220\mathrm{\degree C}$ \\ \hline @@ -1261,7 +1260,7 @@ Ispitni uzorci izrađeni su na 3D printeru \textit{Bambu Lab P1S}, korištenjem \end{table} -\noindent Nakon ispisa, svaki ispitni uzorak vizualno je pregledan te mjeren pomičnim mjerilom kako bi se provjerila geometrijska točnost, mjerene su bočne stranice s gornje i donje strane ispitnog uzorka, te visina samog ispitnog uzorka (točnost $\pm 0.2mm$), svaka izmjera rađena je 3 puta te je uzet prosjek. Mjerenja ispitnih uzoraka za vlačno ispitivanje prikazana su u tablici \ref{tab:dimenzije_uzoraka_vlak} dok su mjere ispitnih uzoraka za smično ispitivanje prikazane u tablici \ref{tab:dimenzije_s}. Uzorci koji su imali vidljive defekte (delaminacije ili praznine) izuzeti su iz ispitivanja. Izrađeni ispitni uzorci nalaze se na slici \ref{fig:izradene_epruvete}. +\noindent Nakon ispisa, svaki ispitni uzorak vizualno je pregledan te mjeren pomičnim mjerilom kako bi se provjerila geometrijska točnost, mjerene su bočne stranice s gornje i donje strane ispitnog uzorka, te visina samog ispitnog uzorka (točnost $\pm 0,2mm$), svaka izmjera rađena je 3 puta te je uzet prosjek. Mjerenja ispitnih uzoraka za vlačno ispitivanje prikazana su u tablici \ref{tab:dimenzije_uzoraka_vlak} dok su mjere ispitnih uzoraka za smično ispitivanje prikazane u tablici \ref{tab:dimenzije_s}. Uzorci koji su imali vidljive defekte (delaminacije ili praznine) izuzeti su iz ispitivanja. Izrađeni ispitni uzorci nalaze se na slici \ref{fig:izradene_epruvete}. \begin{table}[H] @@ -1271,30 +1270,32 @@ Ispitni uzorci izrađeni su na 3D printeru \textit{Bambu Lab P1S}, korištenjem \hline \textbf{Oznaka uzorka} & $a_o$ [mm] & $b_o$ [mm] & Prosjek [$a_o$, $b_o$] [mm] \\ \hline -V1 & 10.00 / 9.99 / 9.99 / 9.99 & 9.92 / 9.96 / 9.99 / 9.99 & 10.00 / 9.92 \\ \hline -V2 & 9.99 / 9.99 / 9.98 / 9.97 & 9.92 / 9.92 / 9.91 / 9.91 & 9.99 / 9.96 \\ \hline -V3 & 9.85 / 9.89 / 9.90 / 9.89 & 9.89 / 9.90 / 9.91 / 9.90 & 9.86 / 9.90 \\ \hline -V4 & 10.00 / 9.99 / 9.99 / 9.99 & 9.91 / 9.91 / 9.91 / 9.91 & 10.00 / 9.93 \\ \hline -V5 & 9.99 / 9.99 / 9.99 / 9.98 & 9.90 / 9.91 / 9.91 / 9.91 & 9.99 / 9.91 \\ \hline -V6 & 10.00 / 10.00 / 10.00 / 9.99 & 9.93 / 9.93 / 9.93 / 9.93 & 9.99 / 9.93 \\ \hline -V7 & 10.00 / 10.00 / 9.99 / 9.98 & 9.92 / 9.92 / 9.92 / 9.92 & 9.99 / 9.92 \\ \hline -V8 & 10.00 / 10.00 / 9.99 / 9.99 & 9.91 / 9.91 / 9.91 / 9.91 & 10.00 / 9.91 \\ \hline -V9 & 9.99 / 9.99 / 9.99 / 9.99 & 9.93 / 9.93 / 9.93 / 9.93 & 9.99 / 9.93 \\ \hline -V10 & 10.00 / 10.00 / 9.99 / 9.99 & 9.90 / 9.90 / 9.91 / 9.91 & 10.00 / 9.90 \\ \hline -V11 & 10.00 / 10.00 / 9.99 / 9.99 & 9.92 / 9.92 / 9.92 / 9.92 & 9.99 / 9.92 \\ \hline -V12 & 10.00 / 10.00 / 10.00 / 9.99 & 9.93 / 9.93 / 9.93 / 9.93 & 10.00 / 9.93 \\ \hline -V13 & 10.00 / 9.99 / 9.99 / 9.99 & 9.90 / 9.90 / 9.90 / 9.90 & 9.99 / 9.90 \\ \hline -V14 & 9.99 / 9.99 / 9.99 / 9.99 & 9.93 / 9.93 / 9.93 / 9.93 & 9.99 / 9.93 \\ \hline -V15 & 9.99 / 9.99 / 9.99 / 9.99 & 9.92 / 9.92 / 9.92 / 9.92 & 9.99 / 9.92 \\ \hline -V16 & 10.00 / 10.00 / 10.00 / 9.99 & 9.91 / 9.91 / 9.91 / 9.91 & 10.00 / 9.91 \\ \hline -V17 & 9.99 / 9.99 / 9.99 / 9.99 & 9.92 / 9.92 / 9.92 / 9.92 & 9.99 / 9.92 \\ \hline -V18 & 9.99 / 9.99 / 9.99 / 9.99 & 9.96 / 9.96 / 9.96 / 9.96 & 9.99 / 9.98 \\ \hline +V1 & 10,00 / 9,99 / 9,99 / 9,99 & 9,92 / 9,96 / 9,99 / 9,99 & 10,00 / 9,92 \\ \hline +V2 & 9,99 / 9,99 / 9,98 / 9,97 & 9,92 / 9,92 / 9,91 / 9,91 & 9,99 / 9,96 \\ \hline +V3 & 9,85 / 9,89 / 9,90 / 9,89 & 9,89 / 9,90 / 9,91 / 9,90 & 9,86 / 9,90 \\ \hline +V4 & 10,00 / 9,99 / 9,99 / 9,99 & 9,91 / 9,91 / 9,91 / 9,91 & 10,00 / 9,93 \\ \hline +V5 & 9,99 / 9,99 / 9,99 / 9,98 & 9,90 / 9,91 / 9,91 / 9,91 & 9,99 / 9,91 \\ \hline +V6 & 10,00 / 10,00 / 10,00 / 9,99 & 9,93 / 9,93 / 9,93 / 9,93 & 9,99 / 9,93 \\ \hline +V7 & 10,00 / 10,00 / 9,99 / 9,98 & 9,92 / 9,92 / 9,92 / 9,92 & 9,99 / 9,92 \\ \hline +V8 & 10,00 / 10,00 / 9,99 / 9,99 & 9,91 / 9,91 / 9,91 / 9,91 & 10,00 / 9,91 \\ \hline +V9 & 9,99 / 9,99 / 9,99 / 9,99 & 9,93 / 9,93 / 9,93 / 9,93 & 9,99 / 9,93 \\ \hline +V10 & 10,00 / 10,00 / 9,99 / 9,99 & 9,90 / 9,90 / 9,91 / 9,91 & 10,00 / 9,90 \\ \hline +V11 & 10,00 / 10,00 / 9,99 / 9,99 & 9,92 / 9,92 / 9,92 / 9,92 & 9,99 / 9,92 \\ \hline +V12 & 10,00 / 10,00 / 10,00 / 9,99 & 9,93 / 9,93 / 9,93 / 9,93 & 10,00 / 9,93 \\ \hline +V13 & 10,00 / 9,99 / 9,99 / 9,99 & 9,90 / 9,90 / 9,90 / 9,90 & 9,99 / 9,90 \\ \hline +V14 & 9,99 / 9,99 / 9,99 / 9,99 & 9,93 / 9,93 / 9,93 / 9,93 & 9,99 / 9,93 \\ \hline +V15 & 9,99 / 9,99 / 9,99 / 9,99 & 9,92 / 9,92 / 9,92 / 9,92 & 9,99 / 9,92 \\ \hline +V16 & 10,00 / 10,00 / 10,00 / 9,99 & 9,91 / 9,91 / 9,91 / 9,91 & 10,00 / 9,91 \\ \hline +V17 & 9,99 / 9,99 / 9,99 / 9,99 & 9,92 / 9,92 / 9,92 / 9,92 & 9,99 / 9,92 \\ \hline +V18 & 9,99 / 9,99 / 9,99 / 9,99 & 9,96 / 9,96 / 9,96 / 9,96 & 9,99 / 9,98 \\ \hline \end{tabular} \label{tab:dimenzije_uzoraka_vlak} \caption*{\textit{Izvor: autor}} \end{table} + + \begin{table}[H] \centering \caption{Dimenzije ispitnih uzoraka S1–S27 ($a_o$ i prosjek)} @@ -1302,33 +1303,33 @@ V18 & 9.99 / 9.99 / 9.99 / 9.99 & 9.96 / 9.96 / 9.96 / 9.96 & 9.99 / 9.98 \\ \hl \hline \textbf{Oznaka uzorka} & $a_o$ [mm] (četiri mjerenja) & Prosjek [$a_o$] [mm] \\ \hline -S1 & 8.00 / 8.15 / 7.98 / 8.01 & 8.04 \\ \hline -S2 & 8.02 / 8.02 / 7.98 / 8.02 & 8.02 \\ \hline -S3 & 7.99 / 7.99 / 8.04 / 8.06 & 7.99 \\ \hline -S4 & 8.06 / 8.07 / 7.95 / 7.98 & 8.06 \\ \hline -S5 & 7.98 / 7.98 / 7.98 / 7.96 & 7.98 \\ \hline -S6 & 7.99 / 7.96 / 7.87 / 7.87 & 7.99 \\ \hline -S7 & 8.08 / 8.10 / 8.10 / 8.07 & 8.09 \\ \hline -S8 & 7.95 / 7.94 / 7.96 / 7.87 & 7.92 \\ \hline -S9 & 7.89 / 7.87 / 8.04 / 7.92 & 7.88 \\ \hline -S10 & 7.94 / 8.11 / 8.10 / 8.01 & 7.97 \\ \hline -S11 & 8.09 / 8.10 / 8.01 / 8.04 & 8.10 \\ \hline -S12 & 8.07 / 8.04 / 8.18 / 8.15 & 8.04 \\ \hline -S13 & 8.12 / 8.15 / 8.01 / 8.04 & 8.15 \\ \hline -S14 & 8.00 / 7.95 / 7.91 / 7.91 & 7.99 \\ \hline -S15 & 8.04 / 7.91 / 7.91 / 8.03 & 7.94 \\ \hline -S16 & 7.99 / 8.00 / 7.95 / 8.14 & 8.02 \\ \hline -S17 & 7.88 / 7.84 / 7.85 / 8.19 & 7.86 \\ \hline -S18 & 8.14 / 8.19 / 8.12 / 8.13 & 8.17 \\ \hline -S19 & 8.11 / 8.13 / 8.17 / 8.09 & 8.12 \\ \hline -S20 & 8.07 / 7.97 / 7.95 / 8.02 & 8.12 \\ \hline -S21 & 8.13 / 8.18 / 7.98 / 8.15 & 7.98 \\ \hline -S22 & 8.02 / 7.98 / 8.15 / 8.13 & 8.09 \\ \hline -S23 & 8.07 / 7.99 / 8.12 / 8.15 & 7.99 \\ \hline -S24 & 8.14 / 8.13 / 7.90 / 7.94 & 8.14 \\ \hline -S25 & 7.97 / 7.88 / 7.85 / 7.99 & 7.88 \\ \hline -S26 & 8.15 / 8.18 / 7.95 / 7.92 & 8.19 \\ \hline -S27 & 8.12 / 7.99 / 7.97 / 7.99 & 8.02 \\ \hline +S1 & 8,00 / 8,15 / 7,98 / 8,01 & 8,04 \\ \hline +S2 & 8,02 / 8,02 / 7,98 / 8,02 & 8,02 \\ \hline +S3 & 7,99 / 7,99 / 8,04 / 8,06 & 7,99 \\ \hline +S4 & 8,06 / 8,07 / 7,95 / 7,98 & 8,06 \\ \hline +S5 & 7,98 / 7,98 / 7,98 / 7,96 & 7,98 \\ \hline +S6 & 7,99 / 7,96 / 7,87 / 7,87 & 7,99 \\ \hline +S7 & 8,08 / 8,10 / 8,10 / 8,07 & 8,09 \\ \hline +S8 & 7,95 / 7,94 / 7,96 / 7,87 & 7,92 \\ \hline +S9 & 7,89 / 7,87 / 8,04 / 7,92 & 7,88 \\ \hline +S10 & 7,94 / 8,11 / 8,10 / 8,01 & 7,97 \\ \hline +S11 & 8,09 / 8,10 / 8,01 / 8,04 & 8,10 \\ \hline +S12 & 8,07 / 8,04 / 8,18 / 8,15 & 8,04 \\ \hline +S13 & 8,12 / 8,15 / 8,01 / 8,04 & 8,15 \\ \hline +S14 & 8,00 / 7,95 / 7,91 / 7,91 & 7,99 \\ \hline +S15 & 8,04 / 7,91 / 7,91 / 8,03 & 7,94 \\ \hline +S16 & 7,99 / 8,00 / 7,95 / 8,14 & 8,02 \\ \hline +S17 & 7,88 / 7,84 / 7,85 / 8,19 & 7,86 \\ \hline +S18 & 8,14 / 8,19 / 8,12 / 8,13 & 8,17 \\ \hline +S19 & 8,11 / 8,13 / 8,17 / 8,09 & 8,12 \\ \hline +S20 & 8,07 / 7,97 / 7,95 / 8,02 & 8,12 \\ \hline +S21 & 8,13 / 8,18 / 7,98 / 8,15 & 7,98 \\ \hline +S22 & 8,02 / 7,98 / 8,15 / 8,13 & 8,09 \\ \hline +S23 & 8,07 / 7,99 / 8,12 / 8,15 & 7,99 \\ \hline +S24 & 8,14 / 8,13 / 7,90 / 7,94 & 8,14 \\ \hline +S25 & 7,97 / 7,88 / 7,85 / 7,99 & 7,88 \\ \hline +S26 & 8,15 / 8,18 / 7,95 / 7,92 & 8,19 \\ \hline +S27 & 8,12 / 7,99 / 7,97 / 7,99 & 8,02 \\ \hline \end{tabular} \label{tab:dimenzije_s} \caption*{\textit{Izvor: autor}} @@ -1336,7 +1337,6 @@ S27 & 8.12 / 7.99 / 7.97 / 7.99 & 8.02 \\ \hline - \begin{figure}[H] \centering \caption{Prikaz svih ispitnih uzoraka.} @@ -1363,8 +1363,8 @@ Ispitni uzorci označeni su graviranjem teksta direktno u slicer programu (prika Ispitivanja su provedena na univerzalnoj kidalici \textit{MESSPHYSIK BETA 250} sa sljedećim brzinama: \begin{itemize} - \item \textbf{Vlačno ispitivanje}: provedeno brzinom od $5\mathrm{mm/min}$ - \item \textbf{Smično ispitivanje}: provedeno brzinom od $5\mathrm{mm/min}$ + \item \textbf{Vlačno ispitivanje}: provedeno brzinom od $5\mathrm{mm/min}$. + \item \textbf{Smično ispitivanje}: provedeno brzinom od $5\mathrm{mm/min}$. \end{itemize} \noindent Tijekom svakog testa snimana je sila, a podaci su pohranjeni u računalo povezano s uređajem. Iz izmjerenih vrijednosti sile i poznatog presjeka ispitnog uzorka izračunate su vrijednosti naprezanja $\sigma_{\mathrm{nom}} = F_{\mathrm{m}}/A_{\mathrm{nom}}$ (za vlak) i $\tau_{\mathrm{nom}} = F_{\mathrm{m}}/A_{\mathrm{nom}}$ (za smik). @@ -1422,10 +1422,10 @@ Po dva testna uzorka korištena su za pronalaženje sile pri kojoj čeljusti ne Za svaki ispitni uzorak zabilježeni su: \begin{itemize} - \item oznaka (Vx ili Sx) - \item konfiguracija parametara definirana ortogonalnom matricom - \item vrijednosti sile - \item izračunata naprezanja + \item oznaka (Vx ili Sx), + \item konfiguracija parametara definirana ortogonalnom matricom, + \item vrijednosti sile, + \item izračunata naprezanja. \end{itemize} \noindent Na taj način dobiven je skup podataka koji se dalje koristi u analizi prema Taguchijevoj metodi. @@ -1485,17 +1485,17 @@ Alat nakon generiranja booleove maske izračunava ukupnu površinu presjeka u XY \begin{verbatim} ==== Grid ispuna 30.0% ==== -XY ukupna povrsina = 301.7364 mm^2 - Povrsina ljuski = 132.4033 mm^2 - Povrsina ispune = 169.3331 mm^2 +XY ukupna povrsina = 301,7364 mm^2, + Povrsina ljuski = 132,4033 mm^2, + Povrsina ispune = 169,3331 mm^2, -- Presjeci kroz Z (uzorak konstantan po Z) -- -Duzina po X @ y=1.000 mm: 4.0801 mm -Duzina po Y @ x=-2.000 mm: 19.0989 mm -Povrsina XZ @ y=1.000: 40.8010 mm^2 (Z=10.000 mm) -Povrsina YZ @ x=-2.000: 190.9887 mm^2 (Z=10.000 mm) +Duzina po X @ y=1,000 mm: 4,0801 mm, +Duzina po Y @ x=-2,000 mm: 19,0989 mm, +Povrsina XZ @ y=1,000: 40,8010 mm^2 (Z=10,000 mm), +Povrsina YZ @ x=-2,000: 190.9887 mm^2 (Z=10,000 mm), -A_xz(y=1mm) = 40.80100125156456 mm^2 -A_yz(x=-2mm) = 190.9887359198926 mm^2 +A_xz(y=1mm) = 40,80100125156456 mm^2, +A_yz(x=-2mm) = 190,9887359198926 mm^2. \end{verbatim} @@ -1528,33 +1528,34 @@ gdje je $A_{\text{nom}}$ površina nominalnog poprečnog presjeka epruvete kada \centering \caption{Rezultati vlačnog ispitivanja} \resizebox{\textwidth}{!}{% -\begin{tabular}{|c|c|c|c|c|c|c|c|} +\begin{tabular}{|c|c|c|c|c|c|c|} \hline Eksperiment & $A_{\text{nom}}$ [mm$^2$] & $A_{\text{min}}$ [mm$^2$] & $F_{\text{m}}$ [kN] & $\sigma_{\text{nom}}$ [MPa] & $\sigma_{\text{ef}}$ [MPa] & S/N [dB] \\ \hline -1 & 100 & 44.493 & 0.778 & 7.78 & 17.4859 & 17.8196 \\ \hline -2 & 100 & 87.819 & 3.299 & 32.99 & 37.5659 & 30.3676 \\ \hline -3 & 100 & 100 & 0.794 & 7.94 & 7.9400 & 17.9964 \\ \hline -4 & 100 & 87.6308 & 2.792 & 27.92 & 31.8609 & 28.9183 \\ \hline -5 & 100 & 91.5613 & 2.468 & 24.68 & 26.9546 & 27.8469 \\ \hline -6 & 100 & 93.9905 & 2.871 & 28.71 & 30.5456 & 29.1607 \\ \hline -7 & 100 & 92.7473 & 2.423 & 24.23 & 26.1247 & 27.6871 \\ \hline -8 & 100 & 96.3896 & 1.891 & 18.91 & 19.6183 & 25.5338 \\ \hline -9 & 100 & 79.2649 & 2.431 & 24.31 & 30.6693 & 27.7157 \\ \hline -10 & 100 & 35.669 & 3.398 & 33.98 & 95.2648 & 30.6245 \\ \hline -11 & 100 & 36.045 & 3.218 & 32.18 & 89.2773 & 30.1517 \\ \hline -12 & 100 & 26.908 & 2.768 & 27.68 & 102.869 & 28.8433 \\ \hline -13 & 100 & 32.415 & 2.472 & 24.72 & 76.2610 & 27.8610 \\ \hline -14 & 100 & 24.155 & 2.527 & 25.27 & 104.616 & 28.0521 \\ \hline -15 & 100 & 42.804 & 3.647 & 36.47 & 85.2023 & 31.2387 \\ \hline -16 & 100 & 26.909 & 2.491 & 24.91 & 92.5713 & 27.9275 \\ \hline -17 & 100 & 44.555 & 4.111 & 41.11 & 92.2680 & 32.2789 \\ \hline -18 & 100 & 15.895 & 2.263 & 22.63 & 142.372 & 27.0937 \\ \hline +1 & 100 & 44,493 & 0,778 & 7,78 & 17,4859 & 17,8196 \\ \hline +2 & 100 & 87,819 & 3,299 & 32,99 & 37,5659 & 30,3676 \\ \hline +3 & 100 & 100 & 0,794 & 7,94 & 7,9400 & 17,9964 \\ \hline +4 & 100 & 87,6308 & 2,792 & 27,92 & 31,8609 & 28,9183 \\ \hline +5 & 100 & 91,5613 & 2,468 & 24,68 & 26,9546 & 27,8469 \\ \hline +6 & 100 & 93,9905 & 2,871 & 28,71 & 30,5456 & 29,1607 \\ \hline +7 & 100 & 92,7473 & 2,423 & 24,23 & 26,1247 & 27,6871 \\ \hline +8 & 100 & 96,3896 & 1,891 & 18,91 & 19,6183 & 25,5338 \\ \hline +9 & 100 & 79,2649 & 2,431 & 24,31 & 30,6693 & 27,7157 \\ \hline +10 & 100 & 35,669 & 3,398 & 33,98 & 95,2648 & 30,6245 \\ \hline +11 & 100 & 36,045 & 3,218 & 32,18 & 89,2773 & 30,1517 \\ \hline +12 & 100 & 26,908 & 2,768 & 27,68 & 102,869 & 28,8433 \\ \hline +13 & 100 & 32,415 & 2,472 & 24,72 & 76,2610 & 27,8610 \\ \hline +14 & 100 & 24,155 & 2,527 & 25,27 & 104,616 & 28,0521 \\ \hline +15 & 100 & 42,804 & 3,647 & 36,47 & 85,2023 & 31,2387 \\ \hline +16 & 100 & 26,909 & 2,491 & 24,91 & 92,5713 & 27,9275 \\ \hline +17 & 100 & 44,555 & 4,111 & 41,11 & 92,2680 & 32,2789 \\ \hline +18 & 100 & 15,895 & 2,263 & 22,63 & 142,372 & 27,0937 \\ \hline \end{tabular} } \label{tab:rezultati_vlacni} \caption*{\textit{Izvor: autor}} \end{table} + \noindent Nakon što smo odredili sve vrijednosti za signal-šum omjere, moguće je onda odrediti srednji signal-šum svih razina svakog faktora u tablici \ref{tab:taguchi_l18_vlacni}, srednju čvrstoću svake razine svakog parametra, te finalno i razliku maksimalnog i minimalnog signal-šum omjera svake razine svakog faktora. Sa tim podacima, možemo napraviti predikciju optimalne kombinacije signal-šum omjera. Svi navedeni podaci prikazani su u tablici \ref{tab:snr_vlak}. @@ -1568,35 +1569,34 @@ gdje je $A_{\text{nom}}$ površina nominalnog poprečnog presjeka epruvete kada Faktor & Razina & $\bar{S/N}$ [dB] & $\bar{\sigma}$ [MPa] & $\Delta$ (S/N) & Optimalna kombinacija S/N \\ \hline \multirow{2}{*}{Orijentacija} -& 1 & 25.8940 & 21.94 & \multirow{2}{*}{3.4473} & \multirow{2}{*}{2} \\ \cline{2-4} -& 2 & 29.3413 & 29.88 & & \\ \hline +& 1 & 25,8940 & 21,94 & \multirow{2}{*}{3,4473} & \multirow{2}{*}{2} \\ \cline{2-4} +& 2 & 29,3413 & 29,88 & & \\ \hline \multirow{3}{*}{Visina sloja [mm]} -& 0.08 & 25.9672 & 23.76 & \multirow{3}{*}{3.2725} & \multirow{3}{*}{0.14} \\ \cline{2-4} -& 0.14 & 28.8463 & 27.96 & & \\ \cline{2-4} -& 0.28 & 28.0395 & 26.02 & & \\ \hline +& 0,08 & 25,9672 & 23,76 & \multirow{3}{*}{3,2725} & \multirow{3}{*}{0,14} \\ \cline{2-4} +& 0,14 & 28,8463 & 27,96 & & \\ \cline{2-4} +& 0,28 & 28,0395 & 26,02 & & \\ \hline \multirow{3}{*}{Širina ekstruzije [mm]} -& 0.4 & 26.8063 & 23.92 & \multirow{3}{*}{2.8791} & \multirow{3}{*}{0.6} \\ \cline{2-4} -& 0.6 & 29.0385 & 29.19 & & \\ \cline{2-4} -& 0.8 & 27.0081 & 24.62 & & \\ \hline +& 0,4 & 26,8063 & 23,92 & \multirow{3}{*}{2,8791} & \multirow{3}{*}{0,6} \\ \cline{2-4} +& 0,6 & 29,0385 & 29,19 & & \\ \cline{2-4} +& 0,8 & 27,0081 & 24,62 & & \\ \hline \multirow{3}{*}{Postotak ispune [\%]} -& 20 & 26.2701 & 22.49 & \multirow{3}{*}{2.3673} & \multirow{3}{*}{55} \\ \cline{2-4} -& 55 & 28.6374 & 27.18 & & \\ \cline{2-4} -& 85 & 27.9454 & 28.07 & & \\ \hline +& 20 & 26,2701 & 22,49 & \multirow{3}{*}{2,3673} & \multirow{3}{*}{55} \\ \cline{2-4} +& 55 & 28,6374 & 27,18 & & \\ \cline{2-4} +& 85 & 27,9454 & 28,07 & & \\ \hline \multirow{3}{*}{Broj slojeva stijenke} -& 2 & 26.2286 & 22.06 & \multirow{3}{*}{2.2322} & \multirow{3}{*}{4} \\ \cline{2-4} -& 4 & 29.5010 & 30.22 & & \\ \cline{2-4} -& 6 & 27.1234 & 25.46 & & \\ \hline +& 2 & 26,2286 & 22,06 & \multirow{3}{*}{2,2322} & \multirow{3}{*}{4} \\ \cline{2-4} +& 4 & 29,5010 & 30,22 & & \\ \cline{2-4} +& 6 & 27,1234 & 25,46 & & \\ \hline \end{tabular}} \label{tab:snr_vlak} \caption*{\textit{Izvor: autor}} \end{table} - \subsubsection{ANOVA analiza rezultata vlačnog ispitivanja}\label{subsubsec:anova_analiza_rezultata_vlacnog_ispitivanja} ANOVA metodu provesti ćemo po postupku opisanom u poglavlju \ref{subsec:anova}. \\ @@ -1653,48 +1653,48 @@ glavnom učinku faktora za koji se računa. \centering \caption{Sume kvadrata faktora vlačnog testa} {\fontsize{10}{11}\selectfont -\begin{tabular}{|c|c|c|c|c|c|} +\begin{tabular}{|c|c|c|c|c|} \hline Faktor & $\bar{\sigma}$ & n & $\mu^2$ & $\mathrm{n} \cdot \mu^2$ \\ \hline \multicolumn{5}{|l|}{\textbf{Orijentacija}} \\ \hline -1 & 21.9411 & 9 & 15.7697 & 141.9275 \\ \hline -2 & 29.8833 & 9 & 15.7697 & 141.9275 \\ \hline -\textbf{Zbroj kvadrata} & & & & 283.8550 \\ \hline +1 & 21,9411 & 9 & 15,7697 & 141,9275 \\ \hline +2 & 29,8833 & 9 & 15,7697 & 141,9275 \\ \hline +\textbf{Zbroj kvadrata} & & & & 283,8550 \\ \hline \textbf{Stupnjevi slobode} & & & & 1 \\ \hline -\textbf{Srednji kvadrat} & & & & 283.8550 \\ \hline +\textbf{Srednji kvadrat} & & & & 283,8550 \\ \hline \multicolumn{5}{|l|}{\textbf{Visina sloja [mm]}} \\ \hline -0.08 & 23.7583 & 6 & 4.6392 & 27.8354 \\ \hline -0.14 & 27.9617 & 6 & 4.2002 & 25.2013 \\ \hline -0.28 & 26.0167 & 6 & 0.0109 & 0.0655 \\ \hline -\textbf{Zbroj kvadrata} & & & & 53.1022 \\ \hline +0,08 & 23,7583 & 6 & 4,6392 & 27,8354 \\ \hline +0,14 & 27,9617 & 6 & 4,2002 & 25,2013 \\ \hline +0,28 & 26,0167 & 6 & 0,0109 & 0,0655 \\ \hline +\textbf{Zbroj kvadrata} & & & & 53,1022 \\ \hline \textbf{Stupnjevi slobode} & & & & 2 \\ \hline -\textbf{Srednji kvadrat} & & & & 26.5511 \\ \hline +\textbf{Srednji kvadrat} & & & & 26,5511 \\ \hline \multicolumn{5}{|l|}{\textbf{Širina ekstruzije [mm]}} \\ \hline -0.4 & 23.9233 & 6 & 3.9557 & 23.7347 \\ \hline -0.6 & 29.19 & 6 & 10.7438 & 64.4629 \\ \hline -0.8 & 24.6233 & 6 & 1.6612 & 9.9674 \\ \hline -\textbf{Zbroj kvadrata} & & & & 98.1644 \\ \hline +0,4 & 23,9233 & 6 & 3,9557 & 23,7347 \\ \hline +0,6 & 29,19 & 6 & 10,7438 & 64,4629 \\ \hline +0,8 & 24,6233 & 6 & 1,6612 & 9,9674 \\ \hline +\textbf{Zbroj kvadrata} & & & & 98,1644 \\ \hline \textbf{Stupnjevi slobode} & & & & 2 \\ \hline -\textbf{Srednji kvadrat} & & & & 49.0822 \\ \hline +\textbf{Srednji kvadrat} & & & & 49,0822 \\ \hline \multicolumn{5}{|l|}{\textbf{Postotak ispune [\%]}} \\ \hline -20 & 22.4883 & 6 & 11.7230 & 70.3381 \\ \hline -55 & 27.18 & 6 & 1.6073 & 9.6436 \\ \hline -85 & 28.0683 & 6 & 4.6489 & 27.8929 \\ \hline -\textbf{Zbroj kvadrata} & & & & 107.8745 \\ \hline +20 & 22,4883 & 6 & 11,7230 & 70,3381 \\ \hline +55 & 27,18 & 6 & 1,6073 & 9,6436 \\ \hline +85 & 28,0683 & 6 & 4,6489 & 27,8929 \\ \hline +\textbf{Zbroj kvadrata} & & & & 107,8745 \\ \hline \textbf{Stupnjevi slobode} & & & & 2 \\ \hline -\textbf{Srednji kvadrat} & & & & 53.9377 \\ \hline +\textbf{Srednji kvadrat} & & & & 53,9377 \\ \hline \multicolumn{5}{|l|}{\textbf{Broj slojeva stijenke}} \\ \hline -2 & 22.0583 & 6 & 14.8525 & 89.1148 \\ \hline -4 & 30.215 & 6 & 18.5139 & 111.0834 \\ \hline -6 & 25.4633 & 6 & 0.2015 & 1.2090 \\ \hline -\textbf{Zbroj kvadrata} & & & & 201.4071 \\ \hline +2 & 22,0583 & 6 & 14,8525 & 89,1148 \\ \hline +4 & 30,215 & 6 & 18,5139 & 111,0834 \\ \hline +6 & 25,4633 & 6 & 0,2015 & 1,2090 \\ \hline +\textbf{Zbroj kvadrata} & & & & 201,4071 \\ \hline \textbf{Stupnjevi slobode} & & & & 2 \\ \hline -\textbf{Srednji kvadrat} & & & & 100.7036 \\ \hline +\textbf{Srednji kvadrat} & & & & 100,7036 \\ \hline \end{tabular}} \label{tab:anova_ssf_vlak} @@ -1725,13 +1725,13 @@ glavnom učinku faktora za koji se računa. \begin{tabular}{|l|c|c|c|c|c|} \hline \textbf{Faktor} & \textbf{SS} & \textbf{SL} & \textbf{MS} & \textbf{F-omjer} & \textbf{Udio varijabiliteta [\%]} \\ \hline -Orijentacija & 283.8550 & 1 & 283.8550 & 4.6455 & 23.0172 \\ \hline -Visina sloja & 53.1022 & 2 & 26.5511 & 0.4345 & 4.3060 \\ \hline -Širina ekstruzije & 98.1644 & 2 & 49.0822 & 0.8033 & 7.9600 \\ \hline -Postotak ispune & 107.8745 & 2 & 53.9373 & 0.8827 & 8.7473 \\ \hline -Broj slojeva stijenke & 201.4071 & 2 & 100.7036 & 1.6481 & 16.3317 \\ \hline -Pogreška (rezidual) & 488.8245 & 8 & 61.1031 & & 39.6378 \\ \hline -\textbf{Ukupno} & 1233.2279 & 17 & & & 100.0000 \\ \hline +Orijentacija & 283,8550 & 1 & 283,8550 & 4,6455 & 23,0172 \\ \hline +Visina sloja & 53,1022 & 2 & 26,5511 & 0,4345 & 4,3060 \\ \hline +Širina ekstruzije & 98,1644 & 2 & 49,0822 & 0,8033 & 7,9600 \\ \hline +Postotak ispune & 107,8745 & 2 & 53,9373 & 0,8827 & 8,7473 \\ \hline +Broj slojeva stijenke & 201,4071 & 2 & 100,7036 & 1,6481 & 16,3317 \\ \hline +Pogreška (rezidual) & 488,8245 & 8 & 61,1031 & & 39,6378 \\ \hline +\textbf{Ukupno} & 1233,2279 & 17 & & & 100,0000 \\ \hline \end{tabular} \label{tab:anova_sazetak_vlak} \caption*{\textit{Izvor: autor}} @@ -1771,32 +1771,32 @@ Pogreška (rezidual) & 488.8245 & 8 & 61.1031 & & 39.6378 \\ \hline \begin{equation}\label{eq:graf1} - F_{\text{m}}(A_{\text{min}}) = 0.0207 A_{\text{min}} + 0.415 + F_{\text{m}}(A_{\text{min}}) = 0,0207 A_{\text{min}} + 0,415 \end{equation} \begin{equation}\label{eq:graf2} - F_{\text{m}}(A_{\text{min}}) = 0.0627 A_{\text{min}} + 1.001 + F_{\text{m}}(A_{\text{min}}) = 0,0627 A_{\text{min}} + 1,001 \end{equation} \noindent Moguće je primijetiti kako je pri orijentaciji 1 (vertikalna orijentacija) prosječni porast sile ($F_{\text{m}}$) po jedinici površine ($mm^2$) 20,7N, dok je za orijentaciju 2 ista vrijednost 62,7N. Izračunamo li sada korijensku srednju kvadratnu pogrešku, kako bi saznali kolika bi bila pogreška kada bi silu predviđali iz površine, dobivamo izraze \ref{eq:rmse_or1} i \ref{eq:rmse_or2}. \begin{equation}\label{eq:rmse_or1} - RMSE_{\text{or1}} = \sqrt{ \frac{1}{n-2} \sum_{i=1}^{n} \left( F_{m-or1,i} - \hat{F}_{m-or1,i} \right)^2 } = 0.8724\text{kN} + RMSE_{\text{or1}} = \sqrt{ \frac{1}{n-2} \sum_{i=1}^{n} \left( F_{m-or1,i} - \hat{F}_{m-or1,i} \right)^2 } = 0,8724\text{kN} \end{equation} \begin{equation}\label{eq:rmse_or2} - RMSE_{\text{or2}} = \sqrt{ \frac{1}{n-2} \sum_{i=1}^{n} \left( F_{m-or2,i} - \hat{F}_{m-or2,i} \right)^2 } = 0.2829\text{kN} + RMSE_{\text{or2}} = \sqrt{ \frac{1}{n-2} \sum_{i=1}^{n} \left( F_{m-or2,i} - \hat{F}_{m-or2,i} \right)^2 } = 0,2829\text{kN} \end{equation} \noindent gdje je $\hat{F}_{m,i} = a \cdot A_{\min,i} + b$ sila predviđena regresijskim pravcem (prema \ref{eq:graf1} i \ref{eq:graf2} za orijentacije 1 i 2), dok je $\bar{F}_{m}$ aritmetička sredina izmjerenih sila, a $n$ broj uzoraka. Kako bi mogli definirati koliko dobro linearni model objašnjava naše podatke, možemo izračunati koeficijent determinacije prema izrazima \ref{eq:r2_or1} i \ref{eq:r2_or2}. \begin{equation}\label{eq:r2_or1} - R_{\text{or1}}^2 = 1 - \frac{\sum_{i=1}^{n} \left( F_{m-or1,i} - \hat{F}_{m-or1,i} \right)^2}{\sum_{i=1}^{n} \left( F_{m-or1,i} - \bar{F}_{m-or1} \right)^2} = 0.151 + R_{\text{or1}}^2 = 1 - \frac{\sum_{i=1}^{n} \left( F_{m-or1,i} - \hat{F}_{m-or1,i} \right)^2}{\sum_{i=1}^{n} \left( F_{m-or1,i} - \bar{F}_{m-or1} \right)^2} = 0,151 \end{equation} \begin{equation}\label{eq:r2_or2} - R_{\text{or2}}^2 = 1 - \frac{\sum_{i=1}^{n} \left( F_{m-or2,i} - \hat{F}_{m-or2,i} \right)^2}{\sum_{i=1}^{n} \left( F_{m-or2,i} - \bar{F}_{m-or2} \right)^2} = 0.872 + R_{\text{or2}}^2 = 1 - \frac{\sum_{i=1}^{n} \left( F_{m-or2,i} - \hat{F}_{m-or2,i} \right)^2}{\sum_{i=1}^{n} \left( F_{m-or2,i} - \bar{F}_{m-or2} \right)^2} = 0,872 \end{equation} @@ -1835,36 +1835,36 @@ Za svaki rezultat izračunat je S/N omjer (pripadajući za taj slučaj) prema kr \centering \caption{Rezultati smičnog ispitivanja} {\fontsize{10}{14}\selectfont -\begin{tabular}{|c|c|c|c|c|c|c|c|c|} +\begin{tabular}{|c|c|c|c|c|c|c|c|} \hline Eksperiment & $A_{\text{nom}}$ [mm$^2$] & $A_{\text{min}}$ [mm$^2$] & $F_{\text{m}}$ [kN] & Ravnina loma & $\sigma_{\text{nom}}$ [MPa] & $\sigma_{\text{ef}}$ [MPa] & S/N [dB] \\ \hline -1 & 64 & 31.577 & 0.968 & xy & 15.125 & 30.6552 & 23.5939 \\ \hline -2 & 64 & 36.365 & 1.673 & xz & 26.1403 & 46.0058 & 28.3463 \\ \hline -3 & 64 & 55.707 & 1.911 & xz & 29.8438 & 36.2394 & 29.4077 \\ \hline -4 & 64 & 37.084 & 1.536 & xz & 24.0000 & 24.0000 & 27.6042 \\ \hline -5 & 64 & 32.841 & 1.594 & xz & 32.6391 & 59.1029 & 28.9133 \\ \hline -6 & 64 & 62.477 & 2.623 & xy & 40.9844 & 41.9882 & 32.6256 \\ \hline -7 & 64 & 60.395 & 2.415 & xy & 37.7344 & 21.1110 & 25.9860 \\ \hline -8 & 64 & 42.934 & 2.015 & xz & 31.4844 & 39.1563 & 28.0530 \\ \hline -9 & 64 & 47.099 & 1.916 & xz & 29.9375 & 40.6803 & 29.5241 \\ \hline -10 & 64 & 42.934 & 2.046 & xy & 32.0000 & 38.2447 & 28.3104 \\ \hline -11 & 64 & 27.007 & 1.642 & xz & 25.6563 & 60.6576 & 28.1839 \\ \hline -12 & 64 & 47.099 & 2.104 & xy & 32.8750 & 37.7158 & 30.1701 \\ \hline -13 & 64 & 45.337 & 1.072 & xz & 16.7500 & 23.6451 & 24.4803 \\ \hline -14 & 64 & 50.325 & 1.468 & xz & 22.8750 & 43.4063 & 27.4529 \\ \hline -15 & 64 & 44.051 & 2.091 & xy & 32.6719 & 43.2864 & 30.4092 \\ \hline -16 & 64 & 42.792 & 2.061 & xy & 32.2031 & 40.5069 & 28.7815 \\ \hline -17 & 64 & 60.893 & 2.514 & xy & 39.2813 & 41.6260 & 31.0321 \\ \hline -18 & 64 & 34.184 & 2.357 & xz & 36.8281 & 34.1406 & 30.0271 \\ \hline -19 & 64 & 30.118 & 1.206 & xz & 18.8281 & 40.0093 & 25.4961 \\ \hline -20 & 64 & 53.205 & 1.923 & xy & 28.1719 & 34.5156 & 28.1869 \\ \hline -21 & 64 & 44.055 & 1.783 & xz & 27.8594 & 40.4721 & 28.3055 \\ \hline -22 & 64 & 58.227 & 2.367 & xz & 35.9844 & 52.5741 & 30.6615 \\ \hline -23 & 64 & 37.000 & 2.025 & xy & 31.6406 & 37.0000 & 30.4345 \\ \hline -24 & 64 & 46.458 & 2.309 & xz & 32.9531 & 45.3958 & 30.3579 \\ \hline -25 & 64 & 46.458 & 2.624 & xy & 40.0625 & 49.0464 & 32.6641 \\ \hline -26 & 64 & 60.395 & 2.548 & xz & 39.8125 & 42.1889 & 32.0004 \\ \hline -27 & 64 & 44.453 & 2.845 & xy & 44.4531 & 44.4531 & 32.9580 \\ \hline +1 & 64 & 31,577 & 0,968 & xy & 15,125 & 30,6552 & 23,5939 \\ \hline +2 & 64 & 36,365 & 1,673 & xz & 26,1403 & 46,0058 & 28,3463 \\ \hline +3 & 64 & 55,707 & 1,911 & xz & 29,8438 & 36,2394 & 29,4077 \\ \hline +4 & 64 & 37,084 & 1,536 & xz & 24,0000 & 24,0000 & 27,6042 \\ \hline +5 & 64 & 32,841 & 1,594 & xz & 32,6391 & 59,1029 & 28,9133 \\ \hline +6 & 64 & 62,477 & 2,623 & xy & 40,9844 & 41,9882 & 32,6256 \\ \hline +7 & 64 & 60,395 & 2,415 & xy & 37,7344 & 21,1110 & 25,9860 \\ \hline +8 & 64 & 42,934 & 2,015 & xz & 31,4844 & 39,1563 & 28,0530 \\ \hline +9 & 64 & 47,099 & 1,916 & xz & 29,9375 & 40,6803 & 29,5241 \\ \hline +10 & 64 & 42,934 & 2,046 & xy & 32,0000 & 38,2447 & 28,3104 \\ \hline +11 & 64 & 27,007 & 1,642 & xz & 25,6563 & 60,6576 & 28,1839 \\ \hline +12 & 64 & 47,099 & 2,104 & xy & 32,8750 & 37,7158 & 30,1701 \\ \hline +13 & 64 & 45,337 & 1,072 & xz & 16,7500 & 23,6451 & 24,4803 \\ \hline +14 & 64 & 50,325 & 1,468 & xz & 22,8750 & 43,4063 & 27,4529 \\ \hline +15 & 64 & 44,051 & 2,091 & xy & 32,6719 & 43,2864 & 30,4092 \\ \hline +16 & 64 & 42,792 & 2,061 & xy & 32,2031 & 40,5069 & 28,7815 \\ \hline +17 & 64 & 60,893 & 2,514 & xy & 39,2813 & 41,6260 & 31,0321 \\ \hline +18 & 64 & 34,184 & 2,357 & xz & 36,8281 & 34,1406 & 30,0271 \\ \hline +19 & 64 & 30,118 & 1,206 & xz & 18,8281 & 40,0093 & 25,4961 \\ \hline +20 & 64 & 53,205 & 1,923 & xy & 28,1719 & 34,5156 & 28,1869 \\ \hline +21 & 64 & 44,055 & 1,783 & xz & 27,8594 & 40,4721 & 28,3055 \\ \hline +22 & 64 & 58,227 & 2,367 & xz & 35,9844 & 52,5741 & 30,6615 \\ \hline +23 & 64 & 37,000 & 2,025 & xy & 31,6406 & 37,0000 & 30,4345 \\ \hline +24 & 64 & 46,458 & 2,309 & xz & 32,9531 & 45,3958 & 30,3579 \\ \hline +25 & 64 & 46,458 & 2,624 & xy & 40,0625 & 49,0464 & 32,6641 \\ \hline +26 & 64 & 60,395 & 2,548 & xz & 39,8125 & 42,1889 & 32,0004 \\ \hline +27 & 64 & 44,453 & 2,845 & xy & 44,4531 & 44,4531 & 32,9580 \\ \hline \end{tabular}} \label{tab:lom_smik} \caption*{\textit{Izvor: autor}} @@ -1881,22 +1881,21 @@ Za svaki rezultat izračunat je S/N omjer (pripadajući za taj slučaj) prema kr \hline Faktor & Razina & $\bar{S/N}$ [dB] & $\bar{\sigma}$ [MPa] & $\Delta$ (S/N) & Optimalna kombinacija S/N \\ \hline - %\textbf{Faktor} & \textbf{Razina} & \textbf{Srednji S/N [dB]} & \textbf{Srednja čvrstoća [MPa]} & $\Delta$ (S/N$_\text{max}$ - S/N$_\text{min}$) & \textbf{Optimalna kombinacija S/N} \\ \hline -Orijentacija & Orijentacija 1 & 30.5954 & 35.226 & \multirow{3}{*}{2.1171} & \\ - & Orijentacija 2 & 29.3624 & 29.771 & & 1\\ - & Orijentacija 3 & 28.4783 & 27.582 & & \\ \hline -Visina sloja [mm] & 0.08 & 28.6997 & 28.382 & \multirow{3}{*}{1.3449} & \\ - & 0.14 & 29.6917 & 31.545 & & 0.28\\ - & 0.28 & 30.0447 & 32.651 & & \\ \hline -Širina ekstruzije [mm] & 0.4 & 28.1518 & 26.3142 & \multirow{3}{*}{2.2376} & \\ - & 0.6 & 29.8948 & 32.3299 & & 0.8 \\ - & 0.8 & 30.3895 & 33.9340 & & \\ \hline -Postotak ispune [\%] & 20 & 27.1819 & 23.6788 & \multirow{3}{*}{3.5043} & \\ - & 55 & 30.6862 & 34.7743 & & 55 \\ - & 85 & 30.5679 & 34.125 & & \\ \hline -Broj slojeva stijenke & 2 & 28.7524 & 27.998 & \multirow{3}{*}{1.8068} & \\ - & 4 & 29.1244 & 30.152 & & 6\\ - & 6 & 30.5593 & 34.427 & & \\ \hline +Orijentacija & Orijentacija 1 & 30,5954 & 35,226 & \multirow{3}{*}{2,1171} & \\ + & Orijentacija 2 & 29,3624 & 29,771 & & 1\\ + & Orijentacija 3 & 28,4783 & 27,582 & & \\ \hline +Visina sloja [mm] & 0,08 & 28,6997 & 28,382 & \multirow{3}{*}{1,3449} & \\ + & 0,14 & 29,6917 & 31,545 & & 0,28\\ + & 0,28 & 30,0447 & 32,651 & & \\ \hline +Širina ekstruzije [mm] & 0,4 & 28,1518 & 26,3142 & \multirow{3}{*}{2,2376} & \\ + & 0,6 & 29,8948 & 32,3299 & & 0,8 \\ + & 0,8 & 30,3895 & 33,9340 & & \\ \hline +Postotak ispune [\%] & 20 & 27,1819 & 23,6788 & \multirow{3}{*}{3,5043} & \\ + & 55 & 30,6862 & 34,7743 & & 55 \\ + & 85 & 30,5679 & 34,125 & & \\ \hline +Broj slojeva stijenke & 2 & 28,7524 & 27,998 & \multirow{3}{*}{1,8068} & \\ + & 4 & 29,1244 & 30,152 & & 6\\ + & 6 & 30,5593 & 34,427 & & \\ \hline \end{tabular}} \label{tab:snr_faktori_smik} \caption*{\textit{Izvor: autor}} @@ -1907,11 +1906,11 @@ Broj slojeva stijenke & 2 & 28.7524 & 27.998 & \multirow{3}{*}{1.8068} & \\ ANOVA analiza provedena je na identičan način kao i u poglavlju \ref{subsubsec:anova_analiza_rezultata_vlacnog_ispitivanja}. Srednja vrijednost ($\mu$) naprezanja $\tau_{\text{nom}}$ svakog eksperimenta te zbroj kvadrata odstupanja točaka od srednje vrijednosti za skup svih $\tau_{\text{nom}}$, uz broj uzoraka $\mathrm{N}=27$ dobivamo vrijednosti iz izraza \ref{eq:tau_avg} i \ref{eq:sst_smik}. \begin{equation}\label{eq:tau_avg} - \mu = \bar{\tau} = \frac{\sum_{i=1}^{N} (\tau_i)}{N} = 30.859 \mathrm{MPa} + \mu = \bar{\tau} = \frac{\sum_{i=1}^{N} (\tau_i)}{N} = 30,859 \mathrm{MPa} \end{equation} \begin{equation}\label{eq:sst_smik} - SS_{ukupno} = \sum_{i=1}^{N} (\tau_i) = 1616.98 \mathrm{MPa^2} + SS_{ukupno} = \sum_{i=1}^{N} (\tau_i) = 1616,98 \mathrm{MPa^2} \end{equation} \noindent Zbrojevi kvadrata za svaki faktor ($\mathrm{SS_f}$) računamo prema izrazu \ref{eq:ssf_smik}.\\ @@ -1930,44 +1929,44 @@ ANOVA analiza provedena je na identičan način kao i u poglavlju \ref{subsubsec Faktor & $\bar{\sigma}$ & n & $\mu^2$ & $\mathrm{n}\cdot\mu^2$ \\ \hline \multicolumn{5}{|l|}{\textbf{Orijentacija}} \\ \hline -1 & 35.2257 & 9 & 19.0647 & 317.0313 \\ \hline -2 & 29.7708 & 9 & 1.1849 & 10.6643 \\ \hline -3 & 27.5816 & 9 & 10.7438 & 96.6944 \\ \hline -\textbf{Zbroj kvadrata} & & & & 107.3588 \\ \hline +1 & 35,2257 & 9 & 19,0647 & 317,0313 \\ \hline +2 & 29,7708 & 9 & 1,1849 & 10,6643 \\ \hline +3 & 27,5816 & 9 & 10,7438 & 96,6944 \\ \hline +\textbf{Zbroj kvadrata} & & & & 107,3588 \\ \hline \textbf{Stupnjevi slobode} & & & & 2 \\ \hline -\textbf{Srednji kvadrat} & & & & 53.6794 \\ \hline +\textbf{Srednji kvadrat} & & & & 53,6794 \\ \hline \multicolumn{5}{|l|}{\textbf{Visina sloja [mm]}} \\ \hline -0.08 & 28.3819 & 9 & 6.1377 & 55.2386 \\ \hline -0.14 & 31.5451 & 9 & 0.4703 & 4.2324 \\ \hline -0.28 & 32.6510 & 9 & 3.2101 & 28.8906 \\ \hline -\textbf{Zbroj kvadrata} & & & & 88.3620 \\ \hline +0,08 & 28,3819 & 9 & 6,1377 & 55,2386 \\ \hline +0,14 & 31,5451 & 9 & 0,4703 & 4,2324 \\ \hline +0,28 & 32,6510 & 9 & 3,2101 & 28,8906 \\ \hline +\textbf{Zbroj kvadrata} & & & & 88,3620 \\ \hline \textbf{Stupnjevi slobode} & & & & 2 \\ \hline -\textbf{Srednji kvadrat} & & & & 44.1810 \\ \hline +\textbf{Srednji kvadrat} & & & & 44,1810 \\ \hline \multicolumn{5}{|l|}{\textbf{Širina ekstruzije [mm]}} \\ \hline -0.4 & 26.3142 & 9 & 20.6583 & 185.9246 \\ \hline -0.6 & 32.3299 & 9 & 2.1623 & 19.4609 \\ \hline -0.8 & 33.9403 & 9 & 9.4535 & 85.0814 \\ \hline -\textbf{Zbroj kvadrata} & & & & 290.4670 \\ \hline +0,4 & 26,3142 & 9 & 20,6583 & 185,9246 \\ \hline +0,6 & 32,3299 & 9 & 2,1623 & 19,4609 \\ \hline +0,8 & 33,9403 & 9 & 9,4535 & 85,0814 \\ \hline +\textbf{Zbroj kvadrata} & & & & 290,4670 \\ \hline \textbf{Stupnjevi slobode} & & & & 2 \\ \hline -\textbf{Srednji kvadrat} & & & & 145.2335 \\ \hline +\textbf{Srednji kvadrat} & & & & 145,2335 \\ \hline \multicolumn{5}{|l|}{\textbf{Postotak ispune [\%]}} \\ \hline -20 & 23.6788 & 9 & 51.5604 & 464.0434 \\ \hline -55 & 34.7743 & 9 & 15.3267 & 137.9401 \\ \hline -85 & 34.1250 & 9 & 10.6643 & 95.9788 \\ \hline -\textbf{Zbroj kvadrata} & & & & 697.9623 \\ \hline +20 & 23,6788 & 9 & 51,5604 & 464,0434 \\ \hline +55 & 34,7743 & 9 & 15,3267 & 137,9401 \\ \hline +85 & 34,1250 & 9 & 10,6643 & 95,9788 \\ \hline +\textbf{Zbroj kvadrata} & & & & 697,9623 \\ \hline \textbf{Stupnjevi slobode} & & & & 2 \\ \hline -\textbf{Srednji kvadrat} & & & & 348.9811 \\ \hline +\textbf{Srednji kvadrat} & & & & 348,9811 \\ \hline \multicolumn{5}{|l|}{\textbf{Broj slojeva stijenke}} \\ \hline -2 & 27.9983 & 9 & 8.18596 & 73.6736 \\ \hline -4 & 30.1528 & 9 & 0.49928 & 4.4935 \\ \hline -6 & 34.4271 & 9 & 12.7285 & 114.5569 \\ \hline -\textbf{Zbroj kvadrata} & & & & 192.7240 \\ \hline +2 & 27,9983 & 9 & 8,18596 & 73,6736 \\ \hline +4 & 30,1528 & 9 & 0,49928 & 4,4935 \\ \hline +6 & 34,4271 & 9 & 12,7285 & 114,5569 \\ \hline +\textbf{Zbroj kvadrata} & & & & 192,7240 \\ \hline \textbf{Stupnjevi slobode} & & & & 2 \\ \hline -\textbf{Srednji kvadrat} & & & & 96.3620 \\ \hline +\textbf{Srednji kvadrat} & & & & 96,3620 \\ \hline \end{tabular} \label{tab:anova_ssf_smik} @@ -1978,26 +1977,26 @@ Faktor & $\bar{\sigma}$ & n & $\mu^2$ & $\mathrm{n}\cdot\mu^2$ \\ \hline \noindent Pogreška je izračunata prema izrazu \ref{eq:pogreska}, dok je F-omjer izračunat izrazom \ref{eq:f-ratio}. Sažetak cijele analize, te udio varijabiliteta prikazan je u tablici \ref{tab:anova_smik} dok su udjeli varijabiliteta prikazani grafički na slici \ref{fig:graf_smik}. - \begin{table}[H] \centering \caption{Sažetak ANOVA tablice ispitivanja na smik} \begin{tabular}{|l|c|c|c|c|c|} \hline \textbf{Faktor} & \textbf{SS} & \textbf{SL} & \textbf{MS} & \textbf{F-omjer} & \textbf{Udio varijabiliteta [\%]} \\ \hline -Orijentacija & 107.3588 & 2 & 53.6794 & 3.5771 & 6.6395 \\ \hline -Visina sloja & 88.3620 & 2 & 44.1810 & 2.9441 & 5.4646 \\ \hline -Širina ekstruzije & 290.4670 & 2 & 145.2335 & 9.6779 & 17.9636 \\ \hline -Postotak ispune & 697.9623 & 2 & 348.9811 & 23.2552 & 43.1646 \\ \hline -Broj slojeva stijenke & 192.7240 & 2 & 96.3620 & 6.4213 & 11.9188 \\ \hline -Pogreška (rezidual) & 240.1054 & 16 & 15.0066 & & 14.8490 \\ \hline -\textbf{Ukupno} & 1616.9795 & 26 & & & 100.0000 \\ \hline +Orijentacija & 107,3588 & 2 & 53,6794 & 3,5771 & 6,6395 \\ \hline +Visina sloja & 88,3620 & 2 & 44,1810 & 2,9441 & 5,4646 \\ \hline +Širina ekstruzije & 290,4670 & 2 & 145,2335 & 9,6779 & 17,9636 \\ \hline +Postotak ispune & 697,9623 & 2 & 348,9811 & 23,2552 & 43,1646 \\ \hline +Broj slojeva stijenke & 192,7240 & 2 & 96,3620 & 6,4213 & 11,9188 \\ \hline +Pogreška (rezidual) & 240,1054 & 16 & 15,0066 & & 14,8490 \\ \hline +\textbf{Ukupno} & 1616,9795 & 26 & & & 100,0000 \\ \hline \end{tabular} \label{tab:anova_smik} \caption*{\textit{Izvor: autor}} \end{table} + \begin{figure}[h] \centering \caption{Udio varijabiliteta svakog faktora i greške.}