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Niko Vujic
2025-08-17 12:22:51 +02:00
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commit 30bae01067
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\begin{document}
\section{Uvod}
%----------- POTREBNA_PROMJENA
Postupak FDM 3D printanja trenutno je najbrže rastuća metoda proizvodnje aditivnim tehnologijama, te je zbog svoje svestranosti ubrzo postala i najzastupljenija metoda
proizvodnje aditivnim tehnologijama na tržištu.
Prednosti proizvodnje aditivnim tehnologijama leže u velikoj brzini prototipiranja, mogučnošću proizvodnje malih serija bez izrade alata, minimalnoj količini škarta
te velikoj fleksibilnosti pri konstruiranju.
Isti razlog zbog kojega 3D printanje daje fleksibilnost pri konstruiranju (zbog izrade kompliciranih oblika te mogučnosti izrade šupljih dijelova zbog redukcije mase,
povećanja brzine izrade te uštede materijala) daje i glavne probleme ove tehnologije.
U odnosu na tradicionalne proizvodne metode (obrada odvajanjem čestica, injekcijsko prešanje ...) 3D printanje daje puno manje predvidive ishode izrađenih strojnih
dijelova zbog samog broja parametara koji utječu na kvalitetu izrade i samu čvrstoću strojnog dijela.
Cilj ovog rada je pronaći parametre koji najviše utječu na promjenu čvrstoće 3D printa, te pronaći korelaciju između promjene istih i čvrstoće strojnog dijela.
%--------
\pagebreak
\section{FDM aditivna tehnologija} \label{sec:fdm_aditivna_tehnologija}
\subsection{Općenito o FDM tehnologiji} \label{sec:opcenito_o_fdm_tehnologiji}
FDM (fused deposition modeling) često znano kao FFF (fused filament fabrication) aditivna je tehnologija koja koristi ekstruziju termoplastičnog materijala kroz slojeve
za izradu 3D modela.
Proces se sastoji od grijanja mlaznice na temperaturu taljenja termoplastičnog materijala te istiskivanjem istog kroz brizgalocu sloj po sloj kako bi se izradio
3D model.
\subsection{Princip rada FDM tehnologije} \label{subsec:princip_rada_fdm_tehnologije}
FDM tehnologija temelji se na procesu taloženja materijala po slojevima, pri čemu se termoplastični materijal (najčešće u obliku filamenta) zagrijava na (ili preko)
temperaturu tališta i ekstrudira kroz mlaznicu. \\
Proces izrade strojnog dijela može se podjeliti u sljedeće korake:
\begin{enumerate}
\item Priprema modela
\item Zagrijavanje i ekstruiranje
\item Izgradnja slojeva
\end{enumerate}
\bigskip
\noindent\textbf{1. Priprema modela} \\
Model se pretvara iz vektorskog formata (step, stp, iges...) u format površinske mreže (stl, obj, ply) te se kao takav stavlja u program za pripremu ispisa (slicer).
U sliceru se podešavaju svi potrebni parametri ispisa (više o njima u sljedećem poglavlju) te se model pretvara u gcode (tekstualni jezik naredbi čitljiv 3D printeru kao
stroju). \\
\noindent\textbf{2. Zagrijavanje i ekstrudiranje} \\
Materijal u obliku filamenta se sustavom za dovod materijala dovodi u zagrijanu glavu stroja, gdje se kroz mlaznicu zatim precizno nanosi na radnu površinu.\\
\noindent\textbf{3. Izgradnja slojeva} \\
Stroj pomiče mlaznicu ili podlogu (ovisno o izvedbi) po osima X, Y i Z te sloj po sloj izgrađuje 3D objekt. Svaki novi sloj se taloži na prethodni po Z-osi sve dok
se ne izgradi 3D objekt. \\
\newpage
\section{Parametri ispisa}\label{sec:parametri_ispisa}
\subsection{Osnovni parametri ispisa}\label{subsec:osnovni_parametri_ispisa}
Parametre ispisa početno možemo podjeliti 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
\end{enumerate}
\subsection{Odabir parametara za testiranje}\label{subsec:odabir_parametara_za_testiranje}
Iako svaka skupina prethodno navedenih parametara utječe na čvstoću objekta, prve dvije skupine ovise samo o stroju i materijalu, te su samim time konstantne za svaku
kombinaciju stroja i materijala. Korelaciju ćemo u ovome radu tražiti samo između parametara treće skupine, jer su parametri oblika oni koji za različite strojne
dijelove u procesu proizvodnje istim materijalom na istom stroju diktiraju samu promjenu čvrstoće strojnog dijela.\\
\\
U daljnjem će tekstu biti dublje opisani parametri povezani s geometrijom objekta.\\
\newpage
\subsubsection{Visina sloja}\label{subsubsec:visina_sloja}
Visina sloja predstavlja debljinu svakog pojedinog sloja taloženog tijekom ispisa, te samim time definira "vertikalnu rezoluciju" modela. Tipične vrijednosti kreću se
između 0.1mm i 0.5mm, ovisno o željenoj kvaliteti ispisa. Manji slojevi omogućavaju veću kvalitetu ispisa te manju hrapavost površine, ali produžuju vrijeme ispisa.
Što je visina sloja veća, slojevi se brže talože, ali dolazi go veće separacije slojeva i slabije adhezije među istima.\\
\\
Pogledamo li poprečni presjek u ravnini normalnoj na trag filamenta možemo vidjeti kako manje visine slojeva (za isti volumenski protok materijala)
daje veću kontaktnu površinu među slojevima, te samim time i veću adheziju među slojevima i manju horizontalnu separaciju sloja.\\
Varijacija presjeka u odnosu na različite visine slojeva prikazana je na slici \ref{fig:visina_sloja}.\\
\begin{figure}[h]
\centering
\includegraphics[width=0.8\textwidth]{media/imgs/parameters_description/visina_sloja.jpg}
\caption{Transformacija poprečnog presjeka pojedinog sloja s povećanjem debljine sloja. Idealizirani oblik sloja prikazan je preko SEM slika (preuzeto iz \cite{kuznetsov2018strengthPLA}).}
\label{fig:visina_sloja}
\end{figure}
\subsubsection{Širina ekstruzije}\label{subsubsec:sirina_ekstruzije}
Širina ekstruzije određuje koliko je širok pojedini ispisani trag filamenta. Tipične vrijednosti kreću se između 80\% i 120\% promjera mlaznice, čime je moguće
osigurati dobro prosječno preklapanje susjednih tragova. Preklapanje susjednih tragova prikazano je na slici \ref{fig:sirina_ekstruzije}, te je moguće primjetiti kako veća
širina ekstruzije daje veću horizontalnu kontaktnu površinu između tragova, te (u ovisnosti o visini sloja prethodno opisanoj u podpoglavlju \ref{subsubsec:visina_sloja})
daje i veću kontaktnu površinu između slojeva.\\
\begin{figure}[h]
\centering
\includegraphics[width=0.6\textwidth]{media/imgs/parameters_description/sirina_ekstruzije.jpg}
\caption{Širina ekstruzije pojedinog traga pri izlazu iz mlaznice, prikazano kroz nekoliko paralelnih tragova (preuzeto iz \cite{hermann2019extrusionwidth}).}
\label{fig:sirina_ekstruzije}
\end{figure}
\newpage
\subsubsection{Postotak ispune}\label{subsubsec:postotak_ispune}
Postotak ispune određuje koliko unutrašnjosti modela će biti ispunjeno materijalom. Ispuna može biti u rasponu od 0\% (šuplji model samo sa vanjskom stijenkom)
do 100\% (potpuno ispunjen model). Tipične vrijednosti za funkcionalne modele kreću se između 15\% i 60\%, dok se veće vrijednosti često koriste za dijelove malih
poprečnih presjeka u odnosu na dimenzije mlaznice (gdje je anizotropija značajna), ili za dijelove koji trebaju podnijeti značajna mehanička opterećenja.\\
\\
Veći postotak ispune direktno povećava masu, čvrstoću i krutost dijela, ali i povećava potrošnju materijala te značajno povećava vrijeme ispisa.\\
\begin{figure}[h]
\centering
\includegraphics[width=0.6\textwidth]{media/imgs/parameters_description/postotak_ispune.jpg}
\caption{Različiti postotci ispune kod iste vrste ispune. Preuzeto iz \cite{clevercreationsInfillStrength}.}
\label{fig:postotak_ispune}
\end{figure}
\subsubsection{Debljina gornjih i donjih slojeva}\label{subsubsec:debljina_gornjih_i_donjih_slojeva}
Debljina gornjih i donjih slojeva definira koliko će slojeva biti potpuno ispunjeno bez strukturne ispune. Za razliku od visine slojeva (\ref{subsubsec:visina_sloja})
ovdje se govori o stvarnom broju slojeva, ne o njihovoj visini.\\
\\
Donji slojevi ključni su za kvalitetno prijanjanje modela uz podlogu, dok gornji slojevi sprječavaju pojavu rupa ili udubljenja pri završetku ispisa.\\
Tipične vrijednosti broja donjih slojeva kreće se između 2 i 4, kako bi se osigurala dobra baza za prijanjanje slojeva manjih poprečnih presjeka (slojeva sačinjenih
od ispune) te osiguralo dobro prijanjanje na podlogu.\\
Tipične vrijednosti broja gornjih slojeva kreću se između 3 i 5, ovisno o postotku ispune. Niži postoci ispune zahtjevaju veći broj gornjih slojeva kako bi se
sakrilo "vješanje" slojeva koji se grade na zadnjem sloju ispune, dok je za veće postotke ispune dovoljno imati manji broj gornjih slojeva jer se sam sloj gradi
na "gušćoj" mreži ispune.\\
%ubaciti sliku vješanja slojeva
\newpage
\subsubsection{Vrsta ispune}\label{subsubsec:vrsta_ispune}
Vrsta ispune definira geometrijsku strukturu kojom se ispunjava unutrašnjost modela. Vrste ispune se primarno dijele na 2D i 3D ispune, gdje 2D ispune svoj osnovni
oblik ispune drže konstantnim kroz cijelu Z-os, dok 3D ispune variraju oblik ispune po Z-osi.\\
\\
Prednosti 3D ispuna su često smanjenje razine anizotropnosti materijala, te konzistentniji prijenos sile kroz strojni komad, no pošto se površinski presjek po Z-osi
mijenja, anizotropnost nije konstanta što onemogućava bilo koju vrstu proračuna ili predikcije čvrstoće strojnog dijela.\\
Prikaz najpopularnijih 2D i 3D vrsta ispune nalazi se u tablicama \ref{tab:2d_ispune} i \ref{tab:3d_ispune} (preuzeto iz \cite{prusaInfillPatterns}).\\
\begin{longtable}{>{\raggedright\arraybackslash}p{4cm} >{\raggedright\arraybackslash}p{7.5cm} c}
\caption{2D vrste ispune} \label{tab:2d_ispune} \\
\toprule
\textbf{Naziv} & \textbf{Opis} & \textbf{Slika} \\
\midrule
\endfirsthead
\multicolumn{3}{c}{{\bfseries Nastavak Tablice \thetable{} – 2D vrste ispune}} \\
\toprule
\textbf{Naziv} & \textbf{Opis} & \textbf{Slika} \\
\midrule
\endhead
\bottomrule
\endfoot
Rectlinear & Klasične izmjenične linije po sloju; vrlo brzo i pogodno za punu ispunu. & \includegraphics[width=2.5cm]{media/imgs/infills/rectlinear_infill.jpg} \\
Poravnati rectlinear & Linije u istom smjeru; učinkovito, ali slabija potpora gornjim slojevima. & \includegraphics[width=2.5cm]{media/imgs/infills/aligned_rectlinear_infill.jpg} \\
Mreža (Grid) & Križanje linija po sloju; čvrsto, ali sporije zbog preklapanja. & \includegraphics[width=2.5cm]{media/imgs/infills/grid_infill.jpg} \\
Trokuti & Uzorak s tri smjera linija; jača unutarnja struktura. & \includegraphics[width=2.5cm]{media/imgs/infills/triangles_infill.jpg} \\
Zvijezde & Varijanta trokuta sa šesterokrakim uzorkom; čvrsto i dekorativno. & \includegraphics[width=2.5cm]{media/imgs/infills/stars_infill.jpg} \\
Linije & Jednosmjerne linije; vrlo brzo, ali slabije za gornje površine. & \includegraphics[width=2.5cm]{media/imgs/infills/line_infill.jpg} \\
Koncentrični & Prati konture modela; dobar za fleksibilne ili prozirne isprinte. & \includegraphics[width=2.5cm]{media/imgs/infills/concentric_infill.jpg} \\
Saće (Honeycomb) & Šesterokutni uzorak s izvrsnom čvrstoćom; sporije i više materijala. & \includegraphics[width=2.5cm]{media/imgs/infills/honeycomb_infill.jpg} \\
Hilbertova krivulja & Labirintski uzorak; pogodno za lijevanje smolom, ali sporo. & \includegraphics[width=2.5cm]{media/imgs/infills/hilbert_curve_infill.jpg} \\
Arhimedove žice & Spiralne linije; fleksibilnost i dobra ispunjenost. & \includegraphics[width=2.5cm]{media/imgs/infills/archimedean_chords_infill.jpg} \\
Oktagram spirala & Ukrasni spiralni uzorak; estetski i funkcionalan za gornje slojeve. & \includegraphics[width=2.5cm]{media/imgs/infills/octagram_spiral_infill.jpg} \\
Munja (Lightning) & Granati uzorak samo za podršku gornjim slojevima; štedi materijal. & \includegraphics[width=2.5cm]{media/imgs/infills/lightning_infill.jpg} \\
\end{longtable}
\vspace{1cm}
\begin{table}[h!]
\centering
\caption{3D vrste ispune}
\label{tab:3d_ispune}
\begin{tabular}{>{\raggedright\arraybackslash}p{4cm} >{\raggedright\arraybackslash}p{7.5cm} c}
\toprule
\textbf{Naziv} & \textbf{Opis} & \textbf{Slika} \\
\midrule
Kockasti (Cubic) & Potpuno 3D mreža kocki; izotropna čvrstoća i mogućnost plovnosti. & \includegraphics[width=2.5cm]{media/imgs/infills/cubic_infill.jpg} \\
Potporni kockasti & Rjeđa varijanta cubic ispune; podržava samo gornje slojeve. & \includegraphics[width=2.5cm]{media/imgs/infills/support_cubic_infill.jpg} \\
Adaptivni kockasti & Gustoća ovisi o geometriji modela; učinkovit za podršku. & \includegraphics[width=2.5cm]{media/imgs/infills/adaptive_cubic_infill.png} \\
3D saće & Naizmjenični oktagoni i kvadrati stvaraju vertikalnu potporu. & \includegraphics[width=2.5cm]{media/imgs/infills/3d_honeycomb_infill.jpg} \\
Gyroid & Glatka 3D površina; izotropna čvrstoća, brzo i učinkovito, moguće lijevanje smolom. & \includegraphics[width=2.5cm]{media/imgs/infills/gyroid_infill.jpg} \\
\bottomrule
\end{tabular}
\end{table}
\newpage
\newpage
\printbibliography[title={Literatura}]
\end{document}

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@article{kuznetsov2018strengthPLA,
author = {Kuznetsov, Pavel and Solonin, Alexey and Urzhumtsev, Oleksandr and Schilling, Rene and Tavitov, Alexey},
title = {Strength of PLA Components Fabricated with Fused Deposition Technology Using a Desktop 3D Printer as a Function of Geometrical Parameters of the Process},
journal = {Polymers},
year = {2018},
volume = {10},
number = {3},
pages = {313},
doi = {10.3390/polym10030313}
}
@online{prusaInfillPatterns,
author = {Prusa Research},
title = {Infill Patterns},
year = {2023},
url = {https://help.prusa3d.com/article/infill-patterns_177130},
note = {Pristupljeno: 16. kolovoza 2025.}
}
@online{hermann2019extrusionwidth,
author = {Hermann, Stefan},
title = {The Effect of Extrusion Width on Strength and Quality of 3D Prints},
year = {2019},
url = {https://www.cnckitchen.com/blog/the-effect-of-extrusion-width-on-strength-and-quality-of-3d-prints},
note = {Pristupljeno: 16. kolovoza 2025.}
}
@online{clevercreationsInfillStrength,
author = {Clever Creations},
title = {What is the Strongest Infill Pattern in Cura and PrusaSlicer?},
year = {2023},
url = {https://clevercreations.org/what-is-strongest-infill-pattern-cura-prusa/},
note = {Accessed: 2025-08-16}
}

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