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"media/imgs/infills/adaptive_cubic_infill.png" 1755426102.54509 302790 be18a05ec5401c8eec805a7cb9f6101d ""
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"media/imgs/infills/adaptive_cubic_infill.png" 1755426102.54509 302790 be18a05ec5401c8eec805a7cb9f6101d ""
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"media/imgs/infills/aligned_rectlinear_infill.jpg" 1755426102.54509 370934 661f445fa0306dbeeb661ddb1c13dfe5 ""
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"media/imgs/infills/aligned_rectlinear_infill.jpg" 1755426102.54509 370934 661f445fa0306dbeeb661ddb1c13dfe5 ""
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"media/imgs/planiranje_eksperimenta/epruveta_s_prihvatom.jpg" 1755687313.83055 242164 74887fb8b0107f8efde9c0b8f622329d ""
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"media/imgs/planiranje_eksperimenta/epruveta_s_prihvatom.jpg" 1755687313.83055 242164 74887fb8b0107f8efde9c0b8f622329d ""
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"media/imgs/planiranje_eksperimenta/epruveta_sa_potporom.jpg" 1755684661.65445 21698 d83a00a20c493adabe27b05e2f893636 ""
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"media/imgs/planiranje_eksperimenta/epruveta_sa_potporom.jpg" 1755684661.65445 21698 d83a00a20c493adabe27b05e2f893636 ""
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"media/imgs/planiranje_eksperimenta/epruveta_smik_3d.jpg" 1755709971.33115 17365 1a3ae14d0238475a49566fbfe4e04a30 ""
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"media/imgs/planiranje_eksperimenta/epruveta_smik_3d.jpg" 1755709971.33115 17365 1a3ae14d0238475a49566fbfe4e04a30 ""
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"media/imgs/planiranje_eksperimenta/epruveta_smik_skica.jpg" 1755711153.73156 43959 c28a143e90885cb4fadfbd04a0339680 ""
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"media/imgs/planiranje_eksperimenta/epruveta_smik_skica.jpg" 1755768923.53462 38264 bf2818c73f037e9937a3ce19f46b3b87 ""
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@@ -520,7 +550,7 @@ U ovom radu koristit će se Taguchijeva metoda kako bi se utvrdio utjecaj 5 fakt
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|
||||||
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\pagebreak
|
||||||
\section{Planiranje eksperimenta}\label{sec:planiranje_eksperimenta}
|
\section{Planiranje eksperimenta}\label{sec:planiranje_eksperimenta}
|
||||||
|
|
||||||
U ovom poglavlju definirani su ispitivani parametri, pripadajuće razine, korištena Taguchijeva matrica, dimenzije i konfiguracija uzoraka te korišteni materijali i
|
U ovom poglavlju definirani su ispitivani parametri, pripadajuće razine, korištena Taguchijeva matrica, dimenzije i konfiguracija uzoraka te korišteni materijali i
|
||||||
@@ -1001,6 +1031,180 @@ Geometrija epruveta i njihovih prihvata prikazana je na skicama \ref{fig:epruvet
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|||||||
\label{fig:epruveta_vlak_skica}
|
\label{fig:epruveta_vlak_skica}
|
||||||
\end{figure}
|
\end{figure}
|
||||||
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|
||||||
|
\subsection{Materijali, oprema i postavke} \label{subsec:materijali_i_oprema}
|
||||||
|
|
||||||
|
U svrhu eksperimenta korišteni su sljedeći materijali i oprema:
|
||||||
|
|
||||||
|
\begin{itemize}
|
||||||
|
\item \textbf{3D Printer}\\
|
||||||
|
\textbf{Bambu Lab P1S} FDM pisač odabran je zbog svoje visoke brzine ispisa te zatvorene komore koja osigurava bolju temperaturnu kontrolu cijelog procesa
|
||||||
|
izrade. Opremljen je \textit{AMS (Automatic Material Station)} sustavom za automatsku izmjenu do četiri filamenta, čime je omogućen (u ovom slučaju)
|
||||||
|
kontinuirani rad pri izmjeni role filamenta.
|
||||||
|
\item \textbf{Slicer program} \\
|
||||||
|
\textbf{Bambu Studio}, službeni program otvorenog koda (open source) tvrtke Bambu Lab, temeljen na PrusaSliceru. Korišten je za definiranje parametara ispisa,
|
||||||
|
orijentacije i generiranje G-koda za svaki pojedini uzorak.
|
||||||
|
\item \textbf{Materijal}\\
|
||||||
|
Odabran je sivi PLA (Polylactide) filament tvrtke AzureFilm promjera 1{,}75\,mm zbog pristupačne cijene i jednostavnosti izrade. Svojstva materijala
|
||||||
|
(definirana od strane proizvođača) prikazana su u tablici \ref{tab:azurefilm_svojstva}, svojstva su dobivena na uzorku s parametrima definiranim u
|
||||||
|
tablici \ref{tab:test_specimens_print_settings}. Preporučeni parametri ispisa definirani od strane proizvođača dani su u tablici \ref{tab:printing_reccomendation}.
|
||||||
|
\item \textbf{Sušač materijala}\\
|
||||||
|
Kako bi se dobila konzistentnost izrade među uzorcima, uzevši u obzir da je datum proizvodnje različitih rola filamenta nepoznat a samim time i njegova
|
||||||
|
vlažnost, svaka rola filamenta sušena je u sušilici \textit{SUNLU S2 Filament Dryer} na 50°C kroz 8 sati, prema preporuci proizvođača sušilice.
|
||||||
|
\item \textbf{Ispitna oprema}\\
|
||||||
|
Za mehaničko ispitivanje korištena je \textit{MESSPHYSIK BETA 250} univerzalna kidalica s odgovarajućim prihvatima za vlačna i smična ispitivanja.
|
||||||
|
\end{itemize}
|
||||||
|
|
||||||
|
|
||||||
|
\begin{table}[H]
|
||||||
|
\centering
|
||||||
|
\caption{Mechanical properties of 3D printed PLA specimens}
|
||||||
|
\label{tab:azurefilm_svojstva}
|
||||||
|
\begin{tabular}{|l|c|c|}
|
||||||
|
\hline
|
||||||
|
\textbf{Svojstva 3D printanog uzorka} & \textbf{Test condition} & \textbf{PLA} \\
|
||||||
|
\hline
|
||||||
|
Tensile modulus [GPa] & 1 mm/min & 3.3 \\
|
||||||
|
\hline
|
||||||
|
Tensile strength [MPa] & 50 mm/min & 59.0 \\
|
||||||
|
\hline
|
||||||
|
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
|
||||||
|
\end{tabular}
|
||||||
|
\end{table}
|
||||||
|
|
||||||
|
\begin{table}[h!]
|
||||||
|
\centering
|
||||||
|
\caption{Parametri za izradu uzorka}
|
||||||
|
\label{tab:test_specimens_print_settings}
|
||||||
|
\begin{tabular}{|l|l|l|}
|
||||||
|
\hline
|
||||||
|
\textbf{3D printer:} Creality Ender 3 & \textbf{Infill:} 20 \% & \textbf{Nozzle temperature:} 200~°C \\ \hline
|
||||||
|
\textbf{Slicer:} Cura & \textbf{Shells:} 2 & \textbf{Bed temperature:} 55~°C \\ \hline
|
||||||
|
\textbf{Nozzle:} 0.4 mm & \textbf{Layer height:} 0.2 mm & \textbf{Print speed:} 50 mm/s \\ \hline
|
||||||
|
\end{tabular}
|
||||||
|
\end{table}
|
||||||
|
|
||||||
|
\begin{table}[h!]
|
||||||
|
\centering
|
||||||
|
\caption{Preporučene postavke}
|
||||||
|
\label{tab:printing_reccomendation}
|
||||||
|
\begin{tabular}{|l|l|}
|
||||||
|
\hline
|
||||||
|
\textbf{Nozzle temperature:} & 200--230~°C \\ \hline
|
||||||
|
\textbf{Heated bed:} & Not required (recommended 50--60~°C) \\ \hline
|
||||||
|
\textbf{Print speed:} & 50--100 mm/s \\ \hline
|
||||||
|
\textbf{Build platform:} & Blue tape, Kapton tape, Glass bed \\ \hline
|
||||||
|
\end{tabular}
|
||||||
|
\end{table}
|
||||||
|
|
||||||
|
\subsection{Postav za ispitivanje smične čvrstoće}\label{subsec:postav_za_ispitivanje_smicne_cvrstoce}
|
||||||
|
%---- → UBACITI DIO SA JIGOM ZA SMIK
|
||||||
|
Pošto je jedini dostupni stroj za ispitivanje čvrstoće univerzalna kidalica, ispitivanje smične čvrstoće biti će izvedeno uzorkom s V-utorom na linearnim vodilicama.
|
||||||
|
Potrebno je iz tog razloga napraviti napravu za univerzalnu kidalicu koji će omogućiti da se razvlačenjem naprave ostvari smik u kritičnom presjeku ispitnog uzorka.
|
||||||
|
Po uzoru na \cite{Stamopoulos2020} napravljena je naprava prikazana na slici \ref{fig:naprava_smik} koja pomoću dvije čeljusti steže ispitni uzorak opisan
|
||||||
|
u poglavlju \ref{subsubsec:konstrukcija_epruveta} te ju pomoću dvaju linearnih vodilica razvlači na način da u kritičnom presjeku (V-utoru) ostvaruje (gotovo) čisto
|
||||||
|
smično naprezanje.\\
|
||||||
|
|
||||||
|
\begin{figure}[H]
|
||||||
|
\centering
|
||||||
|
\includegraphics[width=0.7\textwidth]{media/imgs/planiranje_eksperimenta/naprava_smik.jpg}
|
||||||
|
\caption{Prikaz naprave za smično opterečenje epruvete}
|
||||||
|
\label{fig:naprava_smik}
|
||||||
|
\end{figure}
|
||||||
|
|
||||||
|
\begin{flushleft}
|
||||||
|
Pošto obrada odvajanjem čestica nije dostupna na korištenje u ovom radu, naprava će biti izrađena metodom FDM 3D printanja. Iz istog je razloga potrebno voditi
|
||||||
|
računa o čvrstoći iste kako ne bi došlo do deformacije naprave u razini u kojoj bi dovela točnost mjerenja pomaka u ispitnom uzorka u pitanje.\\
|
||||||
|
|
||||||
|
\end{flushleft}
|
||||||
|
|
||||||
|
\pagebreak
|
||||||
|
\section{Provedba eksperimenta}\label{sec:provedba_eksperimenta}
|
||||||
|
|
||||||
|
\pagebreak
|
||||||
|
\section{Analiza podataka}\label{sec:analiza_podataka}
|
||||||
|
|
||||||
|
\subsection{Računalna analiza poprečnog presjeka}\label{subsec:racunalna_analiza_poprecnog_presjeka}
|
||||||
|
|
||||||
|
Za proračun naprezanja potrebno je odrediti stvarne površine poprečnih presjeka ispitnih uzoraka, koje su ovisne o geometriji ispune (vrsti ispune), širini ekstruzije
|
||||||
|
(širini traga), postotku ispune, broju stijenki i orijentaciji slojeva. U tu svrhu napisan je Python alat koji simulira unutarnju strukturu 3D printanog uzorka u 2D
|
||||||
|
rasteru. Na temelju navedenih parametara, program generira booleovu masku koja prikazuje raspored materijala u poprečnom presjeku.\\
|
||||||
|
\begin{flushleft}
|
||||||
|
Alat nakon generiranja booleove maske izračunava:
|
||||||
|
\begin{itemize}
|
||||||
|
\item ukupnu površinu presjeka u XY ravnini (pošto je XY ravnina normalna na Z-os ispisa, ova je površina konstantna u 2D ispunama)
|
||||||
|
\item površine presjeka u ravninama paralelnim s XZ i YZ ravninama (što je relevantno za različite orijentacije ispisa)
|
||||||
|
\end{itemize}
|
||||||
|
|
||||||
|
Primjer vizualizacije presjeka za obije orijentacije potrebne za vlačno testiranje nalazi se na slikama \ref{fig:vlak_2d_stojeci}, \ref{fig:vlak_2d_lezeci}.\\
|
||||||
|
|
||||||
|
\end{flushleft}
|
||||||
|
|
||||||
|
\begin{figure}[H]
|
||||||
|
\centering
|
||||||
|
\includegraphics[width=0.5\textwidth]{media/imgs/analiza_podataka/vlak_2d_stojeci.jpg}
|
||||||
|
\caption{2D prikaz ispune ispitnog uzorka u orijentaciji uspravnog ispisa.}
|
||||||
|
\label{fig:vlak_2d_stojeci}
|
||||||
|
\end{figure}
|
||||||
|
|
||||||
|
\begin{figure}[H]
|
||||||
|
\centering
|
||||||
|
\includegraphics[width=0.5\textwidth]{media/imgs/analiza_podataka/vlak_2d_lezeci.jpg}
|
||||||
|
\caption{2D prikaz ispune ispitnog uzorka u orijentaciji ležećeg ispisa.}
|
||||||
|
\label{fig:vlak_2d_lezeci}
|
||||||
|
\end{figure}
|
||||||
|
|
||||||
|
\begin{flushleft}
|
||||||
|
|
||||||
|
Iako 2D ispune ne mijenjaju površinu poprečnog presjeka kroz Z-os, u ostale dvije dimenzije ona se svakako mijenja, kako bi se odredilo koliko se točno mijenja,
|
||||||
|
napravljen je graf promjene površine u odnosu na duljinu modela, te automatski proračun površine paralelne sa XZ i YZ ravninama za zadanu x i y dimenziju.
|
||||||
|
Na slikama \ref{fig:promjena_povrsine_10x10}, \ref{fig:promjena_povrsine_10x70} prikazane su promjene površina u odnosu na njihove referentne ravnine.\\
|
||||||
|
|
||||||
|
\end{flushleft}
|
||||||
|
|
||||||
|
\begin{figure}[H]
|
||||||
|
\centering
|
||||||
|
\includegraphics[width=0.6\textwidth]{media/imgs/analiza_podataka/promjena_povrsine_10x10.jpg}
|
||||||
|
\caption{Promjena površine po X i Y osi za bazu 10x10mm.}
|
||||||
|
\label{fig:promjena_povrsine_10x10}
|
||||||
|
\end{figure}
|
||||||
|
|
||||||
|
\begin{figure}[H]
|
||||||
|
\centering
|
||||||
|
\includegraphics[width=0.6\textwidth]{media/imgs/analiza_podataka/promjena_povrsine_10x70.jpg}
|
||||||
|
\caption{Promjena površine po X i Y osi za bazu 10x70mm.}
|
||||||
|
\label{fig:promjena_povrsine_10x70}
|
||||||
|
\end{figure}
|
||||||
|
|
||||||
|
Za slučaj potrebe izračuna površine poprečnog presjeka u točnoj koordinati, moguć je upis zasebne visine na x i y osi, te je nakon izvršavanja programa ispisana i
|
||||||
|
površina u odnosu na te referentne osi u sljedećem formatu:\\
|
||||||
|
|
||||||
|
|
||||||
|
\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
|
||||||
|
-- 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)
|
||||||
|
|
||||||
|
A_xz(y=1mm) = 40.80100125156456 mm^2
|
||||||
|
A_yz(x=-2mm) = 190.9887359198926 mm^2
|
||||||
|
\end{verbatim}
|
||||||
|
|
||||||
|
|
||||||
|
Uzevši u obzir da je Bambu Lab Slicer program otvorenog koda, matematički model i način generiranja mrežaste (Grid) ispune preuzet je iz istog, te prepisan iz
|
||||||
|
programskog jezika C++ u programski jezik Python, te dorađen za 2D prikaz. \\
|
||||||
|
Izračun površina i geometrijskih momenata presjeka proveden je pomoću vlastitog Python programa izvršavanog u JupyterLab okruženju (vidi Prilog A).
|
||||||
|
|
||||||
%---------------------------------------------------------------------
|
%---------------------------------------------------------------------
|
||||||
%----------------------LITERATURA-------------------------------------
|
%----------------------LITERATURA-------------------------------------
|
||||||
@@ -1010,4 +1214,227 @@ Geometrija epruveta i njihovih prihvata prikazana je na skicama \ref{fig:epruvet
|
|||||||
\newpage
|
\newpage
|
||||||
\printbibliography[title={Literatura}]
|
\printbibliography[title={Literatura}]
|
||||||
|
|
||||||
|
|
||||||
|
\pagebreak
|
||||||
|
|
||||||
|
\appendix
|
||||||
|
\section*{Prilog A – Python skripta za analizu poprečnih presjeka}
|
||||||
|
\addcontentsline{toc}{section}{Prilog A – Python skripta za analizu poprečnih presjeka}
|
||||||
|
|
||||||
|
Sljedeći kod izvršavan je unutar okruženja \textbf{JupyterLab}, a koristi biblioteku \texttt{NumPy} i \texttt{Matplotlib}. Skripta služi za generiranje simuliranog rasporeda ispune FDM ispisa i izračun površina presjeka i geometrijskih momenata inercije.
|
||||||
|
|
||||||
|
\begin{lstlisting}[style=python, caption={Python skripta za analizu poprečnih presjeka.}]
|
||||||
|
import numpy as np
|
||||||
|
import matplotlib.pyplot as plt
|
||||||
|
|
||||||
|
def _udaljenost_mod(u, razmak):
|
||||||
|
r = np.mod(u, razmak)
|
||||||
|
return np.minimum(r, razmak - r)
|
||||||
|
|
||||||
|
def _pravocrtna_maska(XX, YY, razmak, sirina_linije, kut_stupnjevi=0.0, faza=0.0):
|
||||||
|
|
||||||
|
th = np.deg2rad(kut_stupnjevi)
|
||||||
|
u = XX * np.cos(th) + YY * np.sin(th)
|
||||||
|
dist = _udaljenost_mod(u + faza, razmak)
|
||||||
|
return dist <= (sirina_linije / 2.0)
|
||||||
|
|
||||||
|
def _razmak_za_gustocu_mreze(sirina_linije, f):
|
||||||
|
|
||||||
|
f = float(np.clip(f, 0.0, 1.0))
|
||||||
|
if f <= 0.0:
|
||||||
|
return np.inf
|
||||||
|
if f >= 1.0:
|
||||||
|
return sirina_linije
|
||||||
|
r = 1.0 - np.sqrt(1.0 - f)
|
||||||
|
return sirina_linije / r
|
||||||
|
|
||||||
|
def izracun_povrsine(XX, YY, maska):
|
||||||
|
if not np.any(maska):
|
||||||
|
return {"A": 0.0}
|
||||||
|
|
||||||
|
dx = XX[0, 1] - XX[0, 0]
|
||||||
|
dy = YY[1, 0] - YY[0, 0]
|
||||||
|
dA = dx * dy
|
||||||
|
A = float(np.count_nonzero(maska) * dA)
|
||||||
|
return {"A": A}
|
||||||
|
|
||||||
|
def prusa_mreza_ili_pravocrtna(
|
||||||
|
sirina, visina,
|
||||||
|
udio_ispune,
|
||||||
|
sirina_linije=0.42,
|
||||||
|
slojevi_ljuske=2,
|
||||||
|
osnovni_kut_ispune_stupnjevi=45.0,
|
||||||
|
mreza=True,
|
||||||
|
z_visina=0.0,
|
||||||
|
faza_po_mm=0.0,
|
||||||
|
z_visina_objekta=None,
|
||||||
|
y_ravnina=0.0,
|
||||||
|
x_ravnina=0.0,
|
||||||
|
N=800,
|
||||||
|
graficki_prikaz=True,
|
||||||
|
detaljno=True
|
||||||
|
):
|
||||||
|
xs = np.linspace(-sirina/2, sirina/2, N)
|
||||||
|
ys = np.linspace(-visina/2, visina/2, N)
|
||||||
|
XX, YY = np.meshgrid(xs, ys)
|
||||||
|
|
||||||
|
shell_mask = np.zeros_like(XX, dtype=bool)
|
||||||
|
for i in range(slojevi_ljuske):
|
||||||
|
off = (i + 0.5) * sirina_linije
|
||||||
|
shell_mask |= np.abs(XX - (-sirina/2 + off)) <= (sirina_linije / 2)
|
||||||
|
shell_mask |= np.abs(XX - ( +sirina/2 - off)) <= (sirina_linije / 2)
|
||||||
|
shell_mask |= np.abs(YY - (-visina/2 + off)) <= (sirina_linije / 2)
|
||||||
|
shell_mask |= np.abs(YY - ( +visina/2 - off)) <= (sirina_linije / 2)
|
||||||
|
|
||||||
|
unutarnji_pomak = slojevi_ljuske * sirina_linije
|
||||||
|
unutarnji_pravokutnik = (
|
||||||
|
(np.abs(XX) <= (sirina/2 - unutarnji_pomak)) &
|
||||||
|
(np.abs(YY) <= (visina/2 - unutarnji_pomak))
|
||||||
|
)
|
||||||
|
|
||||||
|
if udio_ispune <= 0.0:
|
||||||
|
infill_mask = np.zeros_like(XX, dtype=bool)
|
||||||
|
elif udio_ispune >= 1.0:
|
||||||
|
razmak = sirina_linije
|
||||||
|
maske = []
|
||||||
|
kutevi = [osnovni_kut_ispune_stupnjevi] + ([osnovni_kut_ispune_stupnjevi + 90] if mreza else [])
|
||||||
|
faza = faza_po_mm * z_visina
|
||||||
|
for a in kutevi:
|
||||||
|
maske.append(_pravocrtna_maska(XX, YY, razmak, sirina_linije, kut_stupnjevi=a, faza=faza))
|
||||||
|
infill_mask = np.logical_or.reduce(maske) & unutarnji_pravokutnik
|
||||||
|
else:
|
||||||
|
razmak = _razmak_za_gustocu_mreze(sirina_linije, udio_ispune) if mreza \
|
||||||
|
else sirina_linije / udio_ispune
|
||||||
|
maske = []
|
||||||
|
kutevi = [osnovni_kut_ispune_stupnjevi] + ([osnovni_kut_ispune_stupnjevi + 90] if mreza else [])
|
||||||
|
faza = faza_po_mm * z_visina
|
||||||
|
for a in kutevi:
|
||||||
|
maske.append(_pravocrtna_maska(XX, YY, razmak, sirina_linije, kut_stupnjevi=a, faza=faza))
|
||||||
|
infill_mask = np.logical_or.reduce(maske) & unutarnji_pravokutnik
|
||||||
|
|
||||||
|
konacna_maska = shell_mask | infill_mask
|
||||||
|
|
||||||
|
if graficki_prikaz:
|
||||||
|
plt.figure(figsize=(6, 6))
|
||||||
|
img = np.where(konacna_maska, 1.0, np.nan)
|
||||||
|
plt.imshow(img, origin='lower',
|
||||||
|
extent=[-sirina/2, sirina/2, -visina/2, visina/2],
|
||||||
|
interpolation='nearest')
|
||||||
|
naslov = "Grid" if mreza else "Pravocrtna"
|
||||||
|
plt.title(f"{naslov} @ {udio_ispune*100:.1f}% | ljuske={slojevi_ljuske}*{sirina_linije:.2f} kut={osnovni_kut_ispune_stupnjevi:.0f}deg")
|
||||||
|
plt.xlabel("X (mm)")
|
||||||
|
plt.ylabel("Y (mm)")
|
||||||
|
plt.gca().set_aspect('equal', 'box')
|
||||||
|
plt.grid(True)
|
||||||
|
plt.hlines(y_ravnina, -sirina/2, sirina/2, linestyles='--')
|
||||||
|
plt.vlines(x_ravnina, -visina/2, visina/2, linestyles='--')
|
||||||
|
plt.show()
|
||||||
|
|
||||||
|
total = izracun_povrsine(XX, YY, konacna_maska)
|
||||||
|
ljuske = izracun_povrsine(XX, YY, shell_mask)
|
||||||
|
A_ispuna = total["A"] - ljuske["A"]
|
||||||
|
|
||||||
|
dx = XX[0, 1] - XX[0, 0]
|
||||||
|
dy = YY[1, 0] - YY[0, 0]
|
||||||
|
ys_centered = YY[:, 0]
|
||||||
|
xs_centered = XX[0, :]
|
||||||
|
row = int(np.argmin(np.abs(ys_centered - y_ravnina)))
|
||||||
|
col = int(np.argmin(np.abs(xs_centered - x_ravnina)))
|
||||||
|
|
||||||
|
duzina_x_na_y = float(np.count_nonzero(konacna_maska[row, :]) * dx)
|
||||||
|
duzina_y_na_x = float(np.count_nonzero(konacna_maska[:, col]) * dy)
|
||||||
|
|
||||||
|
povrsina_xz_na_y = None
|
||||||
|
povrsina_yz_na_x = None
|
||||||
|
if z_visina_objekta is not None and z_visina_objekta > 0:
|
||||||
|
povrsina_xz_na_y = duzina_x_na_y * z_visina_objekta
|
||||||
|
povrsina_yz_na_x = duzina_y_na_x * z_visina_objekta
|
||||||
|
|
||||||
|
duzina_x_vs_y = np.count_nonzero(konacna_maska, axis=1) * dx
|
||||||
|
duzina_y_vs_x = np.count_nonzero(konacna_maska, axis=0) * dy
|
||||||
|
|
||||||
|
if z_visina_objekta is not None and z_visina_objekta > 0:
|
||||||
|
povrsina_xz_vs_y = duzina_x_vs_y * z_visina_objekta
|
||||||
|
povrsina_yz_vs_x = duzina_y_vs_x * z_visina_objekta
|
||||||
|
y_oznaka = "Povrsina XZ presjeka (mm^2)"
|
||||||
|
x_oznaka = "Povrsina YZ presjeka (mm^2)"
|
||||||
|
else:
|
||||||
|
povrsina_xz_vs_y = duzina_x_vs_y
|
||||||
|
povrsina_yz_vs_x = duzina_y_vs_x
|
||||||
|
y_oznaka = "Duzina po X (mm) [postavi z_visina_objekta za povrsinu]"
|
||||||
|
x_oznaka = "Duzina po Y (mm) [postavi z_visina_objekta za povrsinu]"
|
||||||
|
|
||||||
|
y_os_0_do_H = ys_centered + visina/2.0
|
||||||
|
x_os_0_do_W = xs_centered + sirina/2.0
|
||||||
|
|
||||||
|
if graficki_prikaz:
|
||||||
|
plt.figure(figsize=(7, 3.5))
|
||||||
|
plt.plot(y_os_0_do_H, povrsina_xz_vs_y)
|
||||||
|
plt.xlabel("y od donjeg zida (mm)")
|
||||||
|
plt.ylabel(y_oznaka)
|
||||||
|
plt.title("Varijacija prema y")
|
||||||
|
plt.grid(True)
|
||||||
|
plt.xlim(0, visina)
|
||||||
|
plt.tight_layout()
|
||||||
|
plt.show()
|
||||||
|
|
||||||
|
plt.figure(figsize=(7, 3.5))
|
||||||
|
plt.plot(x_os_0_do_W, povrsina_yz_vs_x)
|
||||||
|
plt.xlabel("x od lijevog zida (mm)")
|
||||||
|
plt.ylabel(x_oznaka)
|
||||||
|
plt.title("Varijacija prema x")
|
||||||
|
plt.grid(True)
|
||||||
|
plt.xlim(0, sirina)
|
||||||
|
plt.tight_layout()
|
||||||
|
plt.show()
|
||||||
|
if detaljno:
|
||||||
|
print(f"==== {('Grid' if mreza else 'Pravocrtna')} ispuna {udio_ispune*100:.1f}% ====")
|
||||||
|
print(f"XY ukupna povrsina = {total['A']:.4f} mm^2")
|
||||||
|
print(f" Povrsina ljuski = {ljuske['A']:.4f} mm^2")
|
||||||
|
print(f" Povrsina ispune = {A_ispuna:.4f} mm^2")
|
||||||
|
print(f"-- Presjeci kroz Z (uzorak konstantan po Z) --")
|
||||||
|
print(f"Duzina po X @ y={y_ravnina:.3f} mm: {duzina_x_na_y:.4f} mm")
|
||||||
|
print(f"Duzina po Y @ x={x_ravnina:.3f} mm: {duzina_y_na_x:.4f} mm")
|
||||||
|
if povrsina_xz_na_y is not None:
|
||||||
|
print(f"Povrsina XZ @ y={y_ravnina:.3f}: {povrsina_xz_na_y:.4f} mm^2 (Z={z_visina_objekta:.3f} mm)")
|
||||||
|
if povrsina_yz_na_x is not None:
|
||||||
|
print(f"Povrsina YZ @ x={x_ravnina:.3f}: {povrsina_yz_na_x:.4f} mm^2 (Z={z_visina_objekta:.3f} mm)")
|
||||||
|
print()
|
||||||
|
return {
|
||||||
|
"maska": konacna_maska,
|
||||||
|
"XX": XX, "YY": YY,
|
||||||
|
"dx": dx, "dy": dy,
|
||||||
|
"povrsina_ukupno_xy": total["A"],
|
||||||
|
"povrsina_ljuske_xy": ljuske["A"],
|
||||||
|
"povrsina_ispune_xy": A_ispuna,
|
||||||
|
"duzina_x_na_y": duzina_x_na_y,
|
||||||
|
"duzina_y_na_x": duzina_y_na_x,
|
||||||
|
"povrsina_xz_na_y": povrsina_xz_na_y,
|
||||||
|
"povrsina_yz_na_x": povrsina_yz_na_x,
|
||||||
|
"y_os_mm": y_os_0_do_H,
|
||||||
|
"x_os_mm": x_os_0_do_W,
|
||||||
|
"povrsina_xz_vs_y": povrsina_xz_vs_y,
|
||||||
|
"povrsina_yz_vs_x": povrsina_yz_vs_x,
|
||||||
|
}
|
||||||
|
# Konfiguracija
|
||||||
|
if __name__ == "__main__":
|
||||||
|
W, H = 10.0, 70.0
|
||||||
|
Z = 10.0
|
||||||
|
res = prusa_mreza_ili_pravocrtna(
|
||||||
|
sirina=W, visina=H,
|
||||||
|
udio_ispune=0.2,
|
||||||
|
sirina_linije=0.42,
|
||||||
|
slojevi_ljuske=2,
|
||||||
|
osnovni_kut_ispune_stupnjevi=45.0,
|
||||||
|
mreza=True,
|
||||||
|
z_visina_objekta=Z,
|
||||||
|
y_ravnina=+1.0,
|
||||||
|
x_ravnina=-2.0,
|
||||||
|
N=800,
|
||||||
|
graficki_prikaz=True, detaljno=True
|
||||||
|
)
|
||||||
|
print("A_xz(y=1mm) =", res["povrsina_xz_na_y"], "mm^2")
|
||||||
|
print("A_yz(x=-2mm) =", res["povrsina_yz_na_x"], "mm^2")
|
||||||
|
\end{lstlisting}
|
||||||
|
|
||||||
\end{document}
|
\end{document}
|
||||||
|
|||||||
@@ -221,4 +221,15 @@
|
|||||||
doi = {10.5937/fme2502326C},
|
doi = {10.5937/fme2502326C},
|
||||||
note = {ISSN 1451-2092}
|
note = {ISSN 1451-2092}
|
||||||
}
|
}
|
||||||
|
@article{Stamopoulos2020,
|
||||||
|
author = {Antonios G. Stamopoulos and Luca Glauco Di Genova and Antoniomaria Di Ilio},
|
||||||
|
title = {Assessment of the shear properties of thermoplastic composites using the ±45° tension and the V-notched rail shear methods},
|
||||||
|
journal = {Manufacturing Rev.},
|
||||||
|
volume = {7},
|
||||||
|
pages = {10},
|
||||||
|
year = {2020},
|
||||||
|
publisher = {EDP Sciences},
|
||||||
|
doi = {10.1051/mfreview/2020007},
|
||||||
|
url = {https://doi.org/10.1051/mfreview/2020007}
|
||||||
|
}
|
||||||
|
|
||||||
|
|||||||
BIN
radno/media/imgs/analiza_podataka/promjena_povrsine_10x10.jpg
Normal file
|
After Width: | Height: | Size: 93 KiB |
BIN
radno/media/imgs/analiza_podataka/promjena_povrsine_10x70.jpg
Normal file
|
After Width: | Height: | Size: 115 KiB |
BIN
radno/media/imgs/analiza_podataka/vlak_2d_lezeci.jpg
Normal file
|
After Width: | Height: | Size: 73 KiB |
BIN
radno/media/imgs/analiza_podataka/vlak_2d_stojeci.jpg
Normal file
|
After Width: | Height: | Size: 92 KiB |
|
Before Width: | Height: | Size: 43 KiB After Width: | Height: | Size: 37 KiB |
BIN
radno/media/imgs/planiranje_eksperimenta/naprava_smik.jpg
Normal file
|
After Width: | Height: | Size: 14 KiB |
304
software/.ipynb_checkpoints/GRID_OSI-checkpoint.ipynb
Normal file
304
software/GRID_FINAL.ipynb
Normal file
973
software/GRID_OSI.ipynb
Normal file
@@ -2,7 +2,7 @@
|
|||||||
"cells": [
|
"cells": [
|
||||||
{
|
{
|
||||||
"cell_type": "code",
|
"cell_type": "code",
|
||||||
"execution_count": 34,
|
"execution_count": 2,
|
||||||
"id": "d5e79bb2-9fc5-4a71-82e2-14ce475e7a5d",
|
"id": "d5e79bb2-9fc5-4a71-82e2-14ce475e7a5d",
|
||||||
"metadata": {},
|
"metadata": {},
|
||||||
"outputs": [
|
"outputs": [
|
||||||
@@ -358,7 +358,7 @@
|
|||||||
},
|
},
|
||||||
{
|
{
|
||||||
"cell_type": "code",
|
"cell_type": "code",
|
||||||
"execution_count": 16,
|
"execution_count": 3,
|
||||||
"id": "8e7aaee9-297a-4965-aa76-aaddb440b105",
|
"id": "8e7aaee9-297a-4965-aa76-aaddb440b105",
|
||||||
"metadata": {},
|
"metadata": {},
|
||||||
"outputs": [
|
"outputs": [
|
||||||
|
|||||||
@@ -2,7 +2,7 @@
|
|||||||
"cells": [
|
"cells": [
|
||||||
{
|
{
|
||||||
"cell_type": "code",
|
"cell_type": "code",
|
||||||
"execution_count": 4,
|
"execution_count": 1,
|
||||||
"id": "cbaa6f21-27f8-41d9-8030-78f8b3a587b8",
|
"id": "cbaa6f21-27f8-41d9-8030-78f8b3a587b8",
|
||||||
"metadata": {},
|
"metadata": {},
|
||||||
"outputs": [
|
"outputs": [
|
||||||
@@ -142,7 +142,11 @@
|
|||||||
"import matplotlib.pyplot as plt\n",
|
"import matplotlib.pyplot as plt\n",
|
||||||
"\n",
|
"\n",
|
||||||
"def compute_area_moments(XX, YY, mask):\n",
|
"def compute_area_moments(XX, YY, mask):\n",
|
||||||
" dx = XX[0, 1] - XX[0, 0]\n",
|
" dx = XX[0, 1] -.\n",
|
||||||
|
"Suženi struk epruvete daje nam manju površinu poprečnog presjeka kako bi mogli garantirati\n",
|
||||||
|
"da će zona loma stati u suženi dio. Kako ne možemo pouzdano izraditi struk, a opet želimo\n",
|
||||||
|
"dobiti manju površinu poprečnog presjeka u sredini epruvete (zoni loma), možemo napraviti\n",
|
||||||
|
"kompromis sa varijacijom postotka ispune kroz dužinu epruv XX[0, 0]\n",
|
||||||
" dy = YY[1, 0] - YY[0, 0]\n",
|
" dy = YY[1, 0] - YY[0, 0]\n",
|
||||||
" dA = dx * dy\n",
|
" dA = dx * dy\n",
|
||||||
"\n",
|
"\n",
|
||||||
|
|||||||