popravio sazetak, popravio numeriranje svega, trebam jos gramatiku i popis simbola i mj jed
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[]\OT1/phv/m/n/12 Rezultati ovog rada mogu poslu[]ziti kao re-fe-renca pri op-t
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\OT1/phv/m/n/12 Sljede[]ci kod izvr[]savan je unu-tar okru[]zenja \OT1/phv/b/n/
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214 compressed objects within 3 object streams
|
||||
0 named destinations out of 1000 (max. 500000)
|
||||
251 words of extra memory for PDF output out of 10000 (max. 10000000)
|
||||
|
||||
|
||||
@@ -17,10 +17,10 @@
|
||||
\contentsline {table}{\numberline {16}{\ignorespaces Dimenzije ispitnih uzoraka ($a_o$, $b_o$)}}{32}{}%
|
||||
\contentsline {table}{\numberline {17}{\ignorespaces Dimenzije ispitnih uzoraka S1–S27 ($a_o$ i prosjek)}}{33}{}%
|
||||
\contentsline {table}{\numberline {18}{\ignorespaces Rezultati vlačnog ispitivanja}}{42}{}%
|
||||
\contentsline {table}{\numberline {19}{\ignorespaces Analiza faktora s prosječnim vrijednostima SNR i čvrstoće}}{43}{}%
|
||||
\contentsline {table}{\numberline {19}{\ignorespaces Analiza faktora s prosječnim vrijednostima S/N i čvrstoće}}{43}{}%
|
||||
\contentsline {table}{\numberline {20}{\ignorespaces Sume kvadrata faktora vlačnog testa}}{44}{}%
|
||||
\contentsline {table}{\numberline {21}{\ignorespaces Sažetak ANOVA tablice ispitivanja na vlak}}{45}{}%
|
||||
\contentsline {table}{\numberline {22}{\ignorespaces Rezultati smičnog ispitivanja}}{48}{}%
|
||||
\contentsline {table}{\numberline {23}{\ignorespaces Analiza faktora s prosječnim vrijednostima SNR i čvrstoće}}{49}{}%
|
||||
\contentsline {table}{\numberline {23}{\ignorespaces Analiza faktora s prosječnim vrijednostima S/N i čvrstoće}}{49}{}%
|
||||
\contentsline {table}{\numberline {24}{\ignorespaces Sume kvadrata faktora smičnog testa}}{50}{}%
|
||||
\contentsline {table}{\numberline {25}{\ignorespaces Sažetak ANOVA tablice ispitivanja na smik}}{51}{}%
|
||||
|
||||
Binary file not shown.
@@ -216,6 +216,26 @@
|
||||
|
||||
\pagestyle{mainstyle}
|
||||
\begin{justify}
|
||||
\pagebreak
|
||||
\section*{Sažetak}
|
||||
|
||||
U ovom radu istraživan je utjecaj odabranih parametara FDM ispisa na mehanička svojstva 3D printanih uzoraka izrađenih od PLA materijala. Analizirani su parametri visine sloja, širine ekstruzije, postotka ispune, orijentacije slojeva i broja stijenki, dok su ostali uvjeti ispisa bili konstantni. Eksperimenti su provedeni prema Taguchijevoj metodi, a rezultati obrađeni ANOVA analizom. Utvrđeno je da orijentacija slojeva ima najveći utjecaj na vlačnu čvrstoću (23\% ukupne varijabilnosti), pri čemu su uzorci s paralelnom orijentacijom postigli prosječnu čvrstoću od 29,88 MPa u usporedbi s 21,94 MPa za okomitu orijentaciju. Broj stijenki pokazao je doprinos od 16,3\%, dok su ostali parametri imali manji utjecaj ($\leq$10\%). Kod smične čvrstoće najznačajniji faktor bio je postotak ispune (43,2\%), gdje je povećanje ispune s 20\% na 85\% rezultiralo rastom čvrstoće s 23,67 MPa na 34,13 MPa. Dobiveni rezultati potvrđuju da pravilnim odabirom parametara ispisa moguće značajno poboljšati mehanička svojstva 3D printanih komponenti te pružaju smjernice za optimizaciju FDM procesa u inženjerskim primjenama.
|
||||
|
||||
\bigskip
|
||||
|
||||
\noindent \textbf{Ključne riječi}: FDM, 3D printanje, PLA, vlačna čvrstoća, smična čvrstoća, parametri ispisa, Taguchi metoda
|
||||
|
||||
\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.
|
||||
|
||||
\bigskip
|
||||
|
||||
\noindent \textbf{Keywords}: FDM, 3D printing, PLA, tensile strength, shear strength, print parameters, Taguchi method
|
||||
|
||||
\pagebreak
|
||||
|
||||
\pagenumbering{arabic} % počinje numerirati arapski (1, 2, 3…)
|
||||
|
||||
\section{Uvod}
|
||||
@@ -669,7 +689,7 @@ Prođemo li redom kroz iste možemo primijetiti kako: \\
|
||||
retroaktivno
|
||||
odrediti geometriju sloja u kojemu se dogodio lom, te je iz tog razloga potrebno odabrati vrstu ispune s konstantnom površinom i geometrijom poprečnog presjeka,
|
||||
dakle 2D vrstu ispune. Zbog dobre raspodjele materijala po cijelom poprečnom presjeku i mogućnosti brze izrade odabran je \textbf{mrežasti (grid) tip ispune}.
|
||||
\item \textbf{Orijentacija modela na radnoj površini}, prema \cite{article_881254}, zbog promjena u smjeru anizotropije, orijentacija izrade uvelike utječe na
|
||||
\item \textbf{Orijentacija modela na radnoj površini}, prema \cite{eryildiz2021orientation}, zbog promjena u smjeru anizotropije, orijentacija izrade uvelike utječe na
|
||||
čvrstoću ispitnog uzorka.
|
||||
\item \textbf{Broj slojeva stijenke}\\
|
||||
Iako bi broj slojeva stijenke zbog same promjene površine poprečnog presjeka i momenata tromosti presjeka trebao utjecati na čvrstoću dijela,
|
||||
@@ -1494,7 +1514,7 @@ gdje je $A_{ekv}$ površina ekvivalentnog poprečnog presjeka epruvete kada bi b
|
||||
|
||||
\noindent Ekvivalentu površinu koristimo kako bi svi uzorci imali istu referencu za računanje naprezanja. Budući da je unutrašnjost ispitnog uzorka kompleksna, te površina poprečnog presjeka nije konstanta, niti je jednostavnog oblika, korišten je program opisan u poglavlju \ref{subsec:racunalna_analiza_poprecnog_presjeka} kako bi se odredila minimalna površina poprečnog presjeka, te uzročno posljedično i naprezanje ($\sigma '$) koje bi se pojavilo kada bi ispitni uzorak zbilja puknuo u presjeku s najmanjom površinom.
|
||||
|
||||
\noindent Za svaku eksperimentalnu kombinaciju iz ortogonalne matrice L18 (tablica \ref{tab:taguchi_l18_vlacni}) izračunat je signal-šum (SNR) omjer prema izrazu \ref{eq:sn_ratio}. Gdje je $y_i$ izmjerena vrijednost čvrstoće u $i$-tom ponavljanju, a $n$ broj ponavljanja. Budući da je svaki ispitni uzorak (zbog ograničenih resursa) ispitivan samo jednom, izraz \ref{eq:sn_ratio} možemo pretvoriti u izraz \ref{eq:sn_ratio_vlak} (za vlak). Za svaki rezultat izračunat je S/N omjer (pripadajući za taj slučaj) prema kriteriju "što je vrijednost viša, to je bolja".
|
||||
\noindent Za svaku eksperimentalnu kombinaciju iz ortogonalne matrice L18 (tablica \ref{tab:taguchi_l18_vlacni}) izračunat je signal-šum (S/N) omjer prema izrazu \ref{eq:sn_ratio}. Gdje je $y_i$ izmjerena vrijednost čvrstoće u $i$-tom ponavljanju, a $n$ broj ponavljanja. Budući da je svaki ispitni uzorak (zbog ograničenih resursa) ispitivan samo jednom, izraz \ref{eq:sn_ratio} možemo pretvoriti u izraz \ref{eq:sn_ratio_vlak} (za vlak). Za svaki rezultat izračunat je S/N omjer (pripadajući za taj slučaj) prema kriteriju "što je vrijednost viša, to je bolja".
|
||||
|
||||
\begin{equation}
|
||||
\text{S/N} = -10 \cdot \log_{10}\left ( \frac{1}{\sigma^2}\right) = 20\cdot log_{10} \left (\sigma \right )
|
||||
@@ -1507,7 +1527,7 @@ gdje je $A_{ekv}$ površina ekvivalentnog poprečnog presjeka epruvete kada bi b
|
||||
\resizebox{\textwidth}{!}{%
|
||||
\begin{tabular}{|c|c|c|c|c|c|c|c|c|}
|
||||
\hline
|
||||
Eksperiment & $A_{ekv}$ [mm$^2$] & $A_{min}$ [mm$^2$] & $A_{max}$ [mm$^2$] & $F_m$ [kN] & $\sigma$ [MPa] & $\sigma'$ & $\sigma''$ & SNR [dB] \\ \hline
|
||||
Eksperiment & $A_{ekv}$ [mm$^2$] & $A_{min}$ [mm$^2$] & $A_{max}$ [mm$^2$] & $F_m$ [kN] & $\sigma$ [MPa] & $\sigma'$ & $\sigma''$ & S/N [dB] \\ \hline
|
||||
1 & 100 & 44.493 & 44.493 & 0.778 & 7.78 & 17.4859 & 17.4859 & 17.8196 \\ \hline
|
||||
2 & 100 & 87.819 & 87.819 & 3.299 & 32.99 & 37.5659 & 37.5659 & 30.3676 \\ \hline
|
||||
3 & 100 & 100 & 100 & 0.794 & 7.94 & 7.9400 & 7.9400 & 17.9964 \\ \hline
|
||||
@@ -1539,11 +1559,11 @@ Eksperiment & $A_{ekv}$ [mm$^2$] & $A_{min}$ [mm$^2$] & $A_{max}$ [mm$^2$] & $F_
|
||||
\begin{table}[H]
|
||||
\centering
|
||||
|
||||
\caption{Analiza faktora s prosječnim vrijednostima SNR i čvrstoće}
|
||||
\caption{Analiza faktora s prosječnim vrijednostima S/N i čvrstoće}
|
||||
{\fontsize{10}{12}\selectfont
|
||||
\begin{tabular}{|c|c|c|c|c|c|}
|
||||
\hline
|
||||
Faktor & Razina & $\bar{SNR}$ [dB] & $\bar{\sigma}$ [MPa] & $\Delta$ (SNR) & Optimalna kombinacija SNR \\ \hline
|
||||
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}
|
||||
@@ -1763,7 +1783,7 @@ Smična čvrstoća $\tau$ računata je prema izrazu:
|
||||
\end{equation}
|
||||
\noindent gdje je $A_{ekv}$ površina smične ravnine.
|
||||
|
||||
Za svaku eksperimentalnu kombinaciju iz ortogonalne matrice L27 (tablica \ref{tab:taguchi_l27}) izračunat je signal-šum (SNR) omjer prema izrazu \ref{eq:sn_ratio},
|
||||
Za svaku eksperimentalnu kombinaciju iz ortogonalne matrice L27 (tablica \ref{tab:taguchi_l27}) izračunat je signal-šum (S/N) omjer prema izrazu \ref{eq:sn_ratio},
|
||||
gdje je $y_i$ izmjerena vrijednost smičnog naprezanja u $i$-tom ponavljanju, a $n$ broj ponavljanja. Budući da je svaki ispitni uzorak (zbog ograničenih resursa)
|
||||
ispitivan samo jednom, izraz \ref{eq:sn_ratio} možemo pretvoriti u izraz \ref{eq:sn_ratio_smik} (za smik).\\
|
||||
Za svaki rezultat izračunat je S/N omjer (pripadajući za taj slučaj) prema kriteriju "što je vrijednost viša - to je bolja".
|
||||
@@ -1780,7 +1800,7 @@ Za svaki rezultat izračunat je S/N omjer (pripadajući za taj slučaj) prema kr
|
||||
{\fontsize{10}{12}\selectfont
|
||||
\begin{tabular}{|c|c|c|c|c|c|c|c|}
|
||||
\hline
|
||||
Eksperiment & $A_{ekv}$ [mm$^2$] & $A_{min}$ [mm$^2$] & $A_{max}$ [mm$^2$] & $F_m$ [kN] & Ravnina loma & $\sigma$ [MPa] & SNR [dB] \\ \hline
|
||||
Eksperiment & $A_{ekv}$ [mm$^2$] & $A_{min}$ [mm$^2$] & $A_{max}$ [mm$^2$] & $F_m$ [kN] & Ravnina loma & $\sigma$ [MPa] & S/N [dB] \\ \hline
|
||||
1 & 64 & 31.577 & 31.577 & 0.968 & xy & 15.125 & 23.5939 \\ \hline
|
||||
2 & 64 & 36.365 & 36.365 & 1.673 & xz & 26.1403 & 28.3463 \\ \hline
|
||||
3 & 64 & 55.707 & 55.707 & 1.911 & xz & 29.8438 & 29.4077 \\ \hline
|
||||
@@ -1818,13 +1838,13 @@ Eksperiment & $A_{ekv}$ [mm$^2$] & $A_{min}$ [mm$^2$] & $A_{max}$ [mm$^2$] & $F_
|
||||
|
||||
\begin{table}[H]
|
||||
\centering
|
||||
\caption{Analiza faktora s prosječnim vrijednostima SNR i čvrstoće}
|
||||
\caption{Analiza faktora s prosječnim vrijednostima S/N i čvrstoće}
|
||||
{\fontsize{10}{12}\selectfont
|
||||
\begin{tabular}{|l|l|c|c|c|c|}
|
||||
\hline
|
||||
|
||||
Faktor & Razina & $\bar{SNR}$ [dB] & $\bar{\sigma}$ [MPa] & $\Delta$ (SNR) & Optimalna kombinacija SNR \\ \hline
|
||||
%\textbf{Faktor} & \textbf{Razina} & \textbf{Srednji SNR [dB]} & \textbf{Srednja čvrstoća [MPa]} & $\Delta$ (SNR$_\text{max}$ - SNR$_\text{min}$) & \textbf{Optimalna kombinacija SNR} \\ \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} & 1 \\
|
||||
& Orijentacija 2 & 29.3624 & 29.771 & & \\
|
||||
& Orijentacija 3 & 28.4783 & 27.582 & & \\ \hline
|
||||
@@ -2007,15 +2027,10 @@ Rezultati ovog rada mogu poslužiti kao referenca pri optimizaciji parametara is
|
||||
\newpage
|
||||
\section*{Popis simbola i mjernih jedinica}
|
||||
\addcontentsline{toc}{section}{Popis simbola i mjernih jedinica}
|
||||
% ------------------------------------------------------------------
|
||||
% POPIS SIMBOLA I MJERNIH JEDINICA – PROŠIRENO
|
||||
% Zalijepiti na kraj rada umjesto postojeće tablice "Popis simbola"
|
||||
% ------------------------------------------------------------------
|
||||
|
||||
\renewcommand{\arraystretch}{1.2}
|
||||
\setlength{\tabcolsep}{6pt}
|
||||
|
||||
\begin{table}[h!]
|
||||
\begin{table}[H]
|
||||
\centering
|
||||
\caption*{\textbf{A) Geometrija uzorka, ispitivanje i mehaničke veličine}}
|
||||
\begin{tabular}{|c|p{0.56\textwidth}|c|}
|
||||
@@ -2036,19 +2051,9 @@ $\mu$ & Srednja vrijednost odziva (u radu korišteno kao $\bar{\sigma
|
||||
$y_i$ & $i$-ta izmjerena vrijednost odziva (čvrstoća) & MPa \\ \hline
|
||||
$\sigma'$ & Efektivno naprezanje u presjeku (alternativni proračun) & MPa \\ \hline
|
||||
$\sigma''$ & Efektivno naprezanje u presjeku (drugi alternativni proračun) & MPa \\ \hline
|
||||
\end{tabular}
|
||||
\end{table}
|
||||
|
||||
\vspace{8pt}
|
||||
|
||||
\begin{table}[h!]
|
||||
\centering
|
||||
\caption*{\textbf{B) Statistički pokazatelji (Taguchi, S/N, ANOVA)}}
|
||||
\begin{tabular}{|c|p{0.56\textwidth}|c|}
|
||||
\hline
|
||||
\textbf{Simbol} & \textbf{Opis} & \textbf{Jedinica} \\ \hline
|
||||
$\text{S/N}$,\ $SNR$ & Omjer signal/šum (za kriterij ``veće-je-bolje'') & dB \\ \hline
|
||||
$\Delta(SNR)$ & Raspon SNR vrijednosti po razinama pojedinog faktora & dB \\ \hline
|
||||
$\text{S/N}$,\ $S/N$ & Omjer signal/šum (za kriterij ``veće-je-bolje'') & dB \\ \hline
|
||||
$\Delta(S/N)$ & Raspon S/N vrijednosti po razinama pojedinog faktora & dB \\ \hline
|
||||
$n$ & Broj ponavljanja (replika) po eksperimentalnoj kombinaciji & -- \\ \hline
|
||||
$N$ & Ukupan broj opažanja (svi uzorci / sve replikacije) & -- \\ \hline
|
||||
$a$ & Broj razina promatranog faktora & -- \\ \hline
|
||||
@@ -2292,22 +2297,4 @@ if __name__ == "__main__":
|
||||
print("A_yz(x=-2mm) =", res["povrsina_yz_na_x"], "mm^2")
|
||||
\end{lstlisting}
|
||||
|
||||
\newpage
|
||||
\section*{Sažetak}
|
||||
|
||||
U ovom radu istraživan je utjecaj odabranih parametara FDM ispisa na mehanička svojstva 3D printanih uzoraka izrađenih od PLA materijala. Analizirani su parametri visine sloja, širine ekstruzije, postotka ispune, orijentacije slojeva i broja stijenki, dok su ostali uvjeti ispisa bili konstantni. Eksperimenti su provedeni prema Taguchijevoj metodi, a rezultati obrađeni ANOVA analizom. Utvrđeno je da orijentacija slojeva ima najveći utjecaj na vlačnu čvrstoću (23\% ukupne varijabilnosti), pri čemu su uzorci s paralelnom orijentacijom postigli prosječnu čvrstoću od 29,88 MPa u usporedbi s 21,94 MPa za okomitu orijentaciju. Broj stijenki pokazao je doprinos od 16,3\%, dok su ostali parametri imali manji utjecaj ($\leq$10\%). Kod smične čvrstoće najznačajniji faktor bio je postotak ispune (43,2\%), gdje je povećanje ispune s 20\% na 85\% rezultiralo rastom čvrstoće s 23,67 MPa na 34,13 MPa. Dobiveni rezultati potvrđuju da pravilnim odabirom parametara ispisa moguće značajno poboljšati mehanička svojstva 3D printanih komponenti te pružaju smjernice za optimizaciju FDM procesa u inženjerskim primjenama.
|
||||
|
||||
\bigskip
|
||||
|
||||
\noindent \textbf{Ključne riječi}: FDM, 3D printanje, PLA, vlačna čvrstoća, smična čvrstoća, parametri ispisa, Taguchi metoda
|
||||
|
||||
\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.
|
||||
|
||||
\bigskip
|
||||
|
||||
\noindent \textbf{Keywords}: FDM, 3D printing, PLA, tensile strength, shear strength, print parameters, Taguchi method
|
||||
|
||||
\end{document}
|
||||
|
||||
Reference in New Issue
Block a user