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dodana anizotropija i taguchijeva metoda, layout malo promjenjen, potrebno je sve to doraditi i smisleno gramatički prepisati, ovo je samo prvi layout

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Niko Vujic
2025-08-17 16:12:10 +02:00
parent 06c331205d
commit 4c9b2dbde6
12 changed files with 1292 additions and 155 deletions
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radno/ispitivanje_cvrstoce_fdm_3d_printanog_uzorka.aux
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485
radno/ispitivanje_cvrstoce_fdm_3d_printanog_uzorka.bbl-SAVE-ERROR
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11
radno/ispitivanje_cvrstoce_fdm_3d_printanog_uzorka.bcf
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@@ -2379,6 +2379,17 @@
<bcf:citekey order="5" intorder="1">clevercreationsInfillStrength</bcf:citekey> <bcf:citekey order="5" intorder="1">clevercreationsInfillStrength</bcf:citekey>
<bcf:citekey order="6" intorder="1">clevercreationsInfillStrength</bcf:citekey> <bcf:citekey order="6" intorder="1">clevercreationsInfillStrength</bcf:citekey>
<bcf:citekey order="7" intorder="1">prusaInfillPatterns</bcf:citekey> <bcf:citekey order="7" intorder="1">prusaInfillPatterns</bcf:citekey>
<bcf:citekey order="8" intorder="1">sun2008effect</bcf:citekey>
<bcf:citekey order="8" intorder="2">rods2001diffusion</bcf:citekey>
<bcf:citekey order="9" intorder="1">coogan2017thermal</bcf:citekey>
<bcf:citekey order="10" intorder="1">aoyagi2002viscosity</bcf:citekey>
<bcf:citekey order="10" intorder="2">basgul2017layeradhesion</bcf:citekey>
<bcf:citekey order="11" intorder="1">kuznetsov2018strengthPLA</bcf:citekey>
<bcf:citekey order="11" intorder="2">bellini2003mechanical</bcf:citekey>
<bcf:citekey order="12" intorder="1">sun2008effect</bcf:citekey>
<bcf:citekey order="13" intorder="1">aulia2021tensileanisotropy</bcf:citekey>
<bcf:citekey order="14" intorder="1">panoto2019shear</bcf:citekey>
<bcf:citekey order="15" intorder="1">zandi2020mechanical</bcf:citekey>
</bcf:section> </bcf:section>
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<bcf:sortingtemplate name="nty"> <bcf:sortingtemplate name="nty">

16
radno/ispitivanje_cvrstoce_fdm_3d_printanog_uzorka.bcf-SAVE-ERROR
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@@ -2374,3 +2374,19 @@
<bcf:section number="0"> <bcf:section number="0">
<bcf:citekey order="1" intorder="1">kuznetsov2018strengthPLA</bcf:citekey> <bcf:citekey order="1" intorder="1">kuznetsov2018strengthPLA</bcf:citekey>
<bcf:citekey order="2" intorder="1">kuznetsov2018strengthPLA</bcf:citekey> <bcf:citekey order="2" intorder="1">kuznetsov2018strengthPLA</bcf:citekey>
<bcf:citekey order="3" intorder="1">hermann2019extrusionwidth</bcf:citekey>
<bcf:citekey order="4" intorder="1">hermann2019extrusionwidth</bcf:citekey>
<bcf:citekey order="5" intorder="1">clevercreationsInfillStrength</bcf:citekey>
<bcf:citekey order="6" intorder="1">clevercreationsInfillStrength</bcf:citekey>
<bcf:citekey order="7" intorder="1">prusaInfillPatterns</bcf:citekey>
<bcf:citekey order="8" intorder="1">sun2008effect</bcf:citekey>
<bcf:citekey order="8" intorder="2">rods2001diffusion</bcf:citekey>
<bcf:citekey order="9" intorder="1">coogan2017thermal</bcf:citekey>
<bcf:citekey order="10" intorder="1">aoyagi2002viscosity</bcf:citekey>
<bcf:citekey order="10" intorder="2">basgul2017layeradhesion</bcf:citekey>
<bcf:citekey order="11" intorder="1">kuznetsov2018strengthPLA</bcf:citekey>
<bcf:citekey order="11" intorder="2">bellini2003mechanical</bcf:citekey>
<bcf:citekey order="12" intorder="1">sun2008effect</bcf:citekey>
<bcf:citekey order="13" intorder="1">aulia2021tensileanisotropy</bcf:citekey>
<bcf:citekey order="14" intorder="1">panoto2019shear</bcf:citekey>
<bcf:citekey order="15" intorder="1">zandi2020mechanical</bcf:citekey>

26
radno/ispitivanje_cvrstoce_fdm_3d_printanog_uzorka.blg
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@@ -1,14 +1,16 @@
[0] Config.pm:308> INFO - This is Biber 2.20 [0] Config.pm:308> INFO - This is Biber 2.20
[0] Config.pm:311> INFO - Logfile is 'ispitivanje_cvrstoce_fdm_3d_printanog_uzorka.blg' [0] Config.pm:311> INFO - Logfile is 'ispitivanje_cvrstoce_fdm_3d_printanog_uzorka.blg'
[52] biber:342> INFO - === Sun Aug 17, 2025, 13:56:22 [44] biber:342> INFO - === Sun Aug 17, 2025, 16:06:13
[64] Biber.pm:420> INFO - Reading 'ispitivanje_cvrstoce_fdm_3d_printanog_uzorka.bcf' [52] Biber.pm:420> INFO - Reading 'ispitivanje_cvrstoce_fdm_3d_printanog_uzorka.bcf'
[96] Biber.pm:994> INFO - Found 4 citekeys in bib section 0 [83] Biber.pm:994> INFO - Found 13 citekeys in bib section 0
[107] Biber.pm:4463> INFO - Processing section 0 [91] Biber.pm:4463> INFO - Processing section 0
[114] Biber.pm:4654> INFO - Looking for bibtex file 'literatura.bib' for section 0 [96] Biber.pm:4654> INFO - Looking for bibtex file 'literatura.bib' for section 0
[115] bibtex.pm:1713> INFO - LaTeX decoding ... [97] bibtex.pm:1713> INFO - LaTeX decoding ...
[117] bibtex.pm:1519> INFO - Found BibTeX data source 'literatura.bib' [103] bibtex.pm:1519> INFO - Found BibTeX data source 'literatura.bib'
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[150] UCollate.pm:68> INFO - Overriding locale 'hr-HR' defaults 'normalization = NFD' with 'normalization = prenormalized' [161] UCollate.pm:68> INFO - Overriding locale 'hr-HR' defaults 'variable = shifted' with 'variable = non-ignorable'
[150] Biber.pm:4283> INFO - Sorting list 'nty/global//global/global/global' of type 'entry' with template 'nty' and locale 'hr-HR' [161] Biber.pm:4283> INFO - Sorting list 'nty/global//global/global/global' of type 'entry' with template 'nty' and locale 'hr-HR'
[155] bbl.pm:677> INFO - Writing 'ispitivanje_cvrstoce_fdm_3d_printanog_uzorka.bbl' with encoding 'UTF-8' [169] bbl.pm:677> INFO - Writing 'ispitivanje_cvrstoce_fdm_3d_printanog_uzorka.bbl' with encoding 'UTF-8'
[156] bbl.pm:780> INFO - Output to ispitivanje_cvrstoce_fdm_3d_printanog_uzorka.bbl [172] bbl.pm:780> INFO - Output to ispitivanje_cvrstoce_fdm_3d_printanog_uzorka.bbl
[172] Biber.pm:131> WARN - Duplicate entry key: 'kuznetsov2018strengthPLA' in file 'literatura.bib', skipping ...
[172] Biber.pm:133> INFO - WARNINGS: 1

22
radno/ispitivanje_cvrstoce_fdm_3d_printanog_uzorka.fdb_latexmk
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@@ -66,7 +66,11 @@ Cilj ovog rada je pronaći parametre koji najviše utječu na promjenu čvrstoć
\pagebreak \pagebreak
\section{FDM aditivna tehnologija} \label{sec:fdm_aditivna_tehnologija}
\section{Teorijska osnova}\label{sec:teorijska_osnova}
\subsection{FDM aditivna tehnologija} \label{sec:fdm_aditivna_tehnologija}
\subsection{Općenito o FDM tehnologiji} \label{sec:opcenito_o_fdm_tehnologiji} \subsection{Općenito o FDM tehnologiji} \label{sec:opcenito_o_fdm_tehnologiji}
@@ -103,9 +107,9 @@ Stroj pomiče mlaznicu ili podlogu (ovisno o izvedbi) po osima X, Y i Z te sloj
se ne izgradi 3D objekt. \\ se ne izgradi 3D objekt. \\
\newpage \newpage
\section{Parametri ispisa}\label{sec:parametri_ispisa} \subsection{Parametri ispisa}\label{sec:parametri_ispisa}
\subsection{Osnovni parametri ispisa}\label{subsec:osnovni_parametri_ispisa} \subsubsection{Osnovni parametri ispisa}\label{subsec:osnovni_parametri_ispisa}
Parametre ispisa početno možemo podjeliti u tri glavne skupine. Parametre ispisa početno možemo podjeliti u tri glavne skupine.
@@ -418,6 +422,98 @@ i niskom visinom sloja (\ref{subsubsec:visina_sloja}) broj stijenki čini ključ
\end{figure} \end{figure}
\subsection{Anizotropija 3D printanih modela}\label{sec:anizotropija_3d_printanih_modela}
\subsubsection{Mehanizmi nastajanja slabosti među slojevima}
Ključno ograničenje FDM tehnologije, kada govorimo o čvrstoći, je upravo anizotropija mehaničkih svojstava izrađenih dijelova. Za razliku od izotropnih materijala,
kod kojih su mehanička svojstva jednaka u svim smjerovima, FDM dijelovi pokazuju značajnu razliku u čvrstoći između slojeva (po osi izgradnje slojeva, tj. Z-osi).\\
Glavni uzroci slabosti među slojevima su:\\
\begin{enumerate}
\item \textbf{Ograničena difuzija molekula}\\
Tijekom taloženja slojeva, novi sloj rastopljenog filamenta dolazi u kontakt s već ohlađenim slojem ispod. Prava kemijska veza između slojeva može nastati
samo ako dođe do \textit{difuzije polimernih lanaca} preko granice slojeva \cite{sun2008effect, rods2001diffusion}. Ako je razlika u temperaturi prevelika,
ili je vrijeme kontakta prekratko (zbog velike brzine kretanja mlaznice), dolazi do mehaničkog prijanjanja te nastaje "hladan spoj" dvaju slojeva u
kojemu nema stvarne kemijske veze između slojeva.
\item \textbf{Temperaturni gradijenti i brzina hlađenja} \\
Brzo hlađenje prethodnog sloja sprječava djelomično taljenje pri dodavanju novog sloja, što rezultira slabijom vezom \cite{coogan2017thermal}.
Uspješno međuslojno prianjanje ovisi o toplinskoj vodljivosti materijala, viskoznosti rastaljenog polimera i vremenu difuzije.
\item \textbf{Geometrijski i reološki faktori} \\
Parametri poput visine sloja, širine ekstruzije i brzine taloženja utječu na oblik i površinu kontakta između slojeva. Veće visine sloja i manja širina
traga smanjuju površinu kontakta, čime se povećava vjerojatnost loma na slojevima \cite{aoyagi2002viscosity, basgul2017layeradhesion}.
\item \textbf{Zračni među-prostor (voids)} \\
Nedovoljno preklapanje tragova i slojeva može rezultirati stvaranjem \textit{mikropraznina} koje djeluju kao koncentratori naprezanja
\cite{kuznetsov2018strengthPLA, bellini2003mechanical}. One su često inicijalne točke loma pri mehaničkom opterećenju.
\item \textbf{Efekt taloženja pod kutom} \\
Kod nagnutih ili kompleksnih geometrija, slojevi se ne talože ravno jedan na drugi. To dodatno smanjuje efektivnu nosivu površinu, što posebno dolazi
do izražaja kod savijanja ili smičnog opterećenja \cite{sun2008effect}.
\end{enumerate}
\subsubsection{Ponašanje u smiku i vlačna čvrstoća}\label{ponasanje_u_smiku_i_vlacna_cvrstoca}
Zbog prirode taloženja slojeva u FDM tehnologiji, 3D printani dijelovi pokazuju snažno anizotropno ponašanje u pogledu mehaničkih svojstava. Najveća razlika očituje se pri usporedbi čvrstoće u smjeru paralelnom sa slojevima (X-Y ravnina) i smjeru okomitom na slojeve (Z-os), posebno pri različitim vrstama opterećenja.
\begin{itemize}
\item \textbf{Vlačna čvrstoća} u X-Y ravnini najčešće je značajno veća od one u Z-smjeru, jer se u ravnini sloja ostvaruju kontinuirani tragovi filamenta koji su dobro povezani. Pri vlačnom opterećenju u Z-smjeru, čvrstoća ovisi isključivo o kvaliteti međuslojnog prianjanja \cite{aulia2021tensileanisotropy}.
\item \textbf{Smična čvrstoća} još je osjetljivija na anizotropiju. Kod opterećenja smikom, osobito u Z-X ili Z-Y ravnini, deformacija se odvija duž granica slojeva gdje su veze najslabije. Studije pokazuju da smična čvrstoća može biti i do 70\% niža od vlačne u X-Y ravnini \cite{panoto2019shear}.
\item \textbf{Karakter puknuća} također varira — kod vlačne sile u Z-smjeru lom se često događa iznenada i duž granice slojeva, dok je u X-Y ravnini lom postupniji, jer materijal ima veći kapacitet deformacije prije loma \cite{zandi2020mechanical}.
\item \textbf{Utjecaj parametara ispisa} (poput visine sloja, postotka ispune i orijentacije modela) izraženiji je kod smičnog opterećenja jer ovi parametri direktno utječu na povezanost između slojeva i tragova unutar slojeva.
\end{itemize}
Zbog navedenog, odabir parametara ispisa mora se prilagoditi vrsti opterećenja kojoj će dio biti izložen. Ako se očekuju sile savijanja ili smicanja u Z-smjeru, preporučljivo je koristiti manje visine slojeva, veću širinu ekstruzije i više slojeva stijenke kako bi se poboljšala kohezija među slojevima.
\subsection{Taguchijeva metoda} \label{subsec:taguchi_metoda}
Taguchijeva metoda je eksperimentalna strategija za analizu utjecaja više ulaznih parametara na neki izlazni odziv sustava, s ciljem optimizacije performansi uz minimalan broj eksperimenata. Razvio ju je dr. Genichi Taguchi s naglaskom na robusnost i otpornost procesa na smetnje (engl. \textit{noise}).
\bigskip
\textbf{Osnovni pojmovi:}
\begin{itemize}
\item \textbf{Faktori (engl. factors):} Varijable koje se kontroliraju u eksperimentu. U ovom radu, to su npr. visina sloja, širina ekstruzije, postotak ispune itd.
\item \textbf{Razine (engl. levels):} Odabrane vrijednosti koje pojedini faktor može poprimiti. Na primjer, visina sloja može imati 3 razine: 0.1\,mm, 0.2\,mm i 0.3\,mm.
\item \textbf{Ortogonalna matrica:} Matrica koja omogućuje sustavno variranje faktora i njihovih razina tako da se s minimalnim brojem eksperimenata obuhvati maksimalna količina informacija. Najčešće korištene su matrice tipa L9, L18, L27 itd., ovisno o broju faktora i razina.
\item \textbf{Signal-šum omjer (S/N omjer):} Kvantitativna mjera kojom se procjenjuje kvaliteta odziva. Povezuje korisni signal (željeni odziv) s neželjenim šumom (varijacijom). Za slučaj kada se želi maksimizirati odziv (npr. čvrstoća), koristi se S/N omjer za kriterij "što veće, to bolje":
\begin{equation}
\text{S/N} = -10 \cdot \log_{10}\left( \frac{1}{n} \sum_{i=1}^{n} \frac{1}{y_i^2} \right)
\end{equation}
gdje je $y_i$ izmjerena vrijednost odziva u $i$-tom ponavljanju, a $n$ broj ponavljanja eksperimenta za danu kombinaciju parametara.\\
\end{itemize}
\begin{flushleft}
\textbf{Zašto se koristi u optimizaciji procesa:}
U klasičnom pristupu, ako postoji $k$ faktora, svaki s $l$ razina, potrebno je provesti $l^k$ eksperimenata za potpunu faktorsku analizu. To brzo postaje nepraktično.
Taguchijeva metoda omogućuje optimizaciju i identifikaciju najutjecajnijih faktora s daleko manjim brojem ispitivanja.\\
Njezine glavne prednosti su:
\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 interakcija
\end{itemize}
\textbf{Primjena u ovom radu:}
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.\\
\end{flushleft}
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url = {https://clevercreations.org/what-is-strongest-infill-pattern-cura-prusa/}, url = {https://clevercreations.org/what-is-strongest-infill-pattern-cura-prusa/},
note = {Accessed: 2025-08-16} note = {Accessed: 2025-08-16}
} }
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