From 6097d1208af169c741bd389d428ff1c9419834b7 Mon Sep 17 00:00:00 2001 From: Chrissi Date: Tue, 19 May 2026 20:22:08 +0200 Subject: [PATCH] Ausarbeitung 2.6 und Rechtschreibkorrektur --- .../Versuch5_Peschka_Debray_Jacobs.pdf | Bin 961759 -> 1015839 bytes .../Versuch5_Peschka_Debray_Jacobs.tex | 169 +++++++--- ...bray_Jacobs_ohne_Rechtschreibkontrolle.pdf | Bin 0 -> 1015776 bytes ...bray_Jacobs_ohne_Rechtschreibkontrolle.tex | 306 ++++++++++++++++++ 4 files changed, 436 insertions(+), 39 deletions(-) create mode 100644 Mechatronische Komponenten MK/Versuch 5/Versuch5_Peschka_Debray_Jacobs_ohne_Rechtschreibkontrolle.pdf create mode 100644 Mechatronische Komponenten MK/Versuch 5/Versuch5_Peschka_Debray_Jacobs_ohne_Rechtschreibkontrolle.tex diff --git a/Mechatronische Komponenten MK/Versuch 5/Versuch5_Peschka_Debray_Jacobs.pdf b/Mechatronische Komponenten MK/Versuch 5/Versuch5_Peschka_Debray_Jacobs.pdf index 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Der Weg unten ist frei, und die Luft kann fast ungehindert am Drosselventil vorbeiströmen.\\ \paragraph{Welches ist das elektrisch vergleichbare Bauteil?} -Das elektrisch vergleichbare Bauteil ist hier die Diode. -Schließt man* die Bauteile parallel an, fließt der Strom in Durchlassrichtung fast komplett über die Diode. -In der Gegenrichtung sperrt die Diode, und der Strom muss durch den Widerstand fließen. -Das elektrisch vergleichbare Bauteil ist hier die Diode. -Schließt man* die Bauteile parallel an, fließt der Strom in Durchlassrichtung fast komplett über die Diode. +Das elektrisch vergleichbare Bauteil ist hier die Diode. +Schließt man die Bauteile parallel an, fließt der Strom in Durchlassrichtung fast komplett über die Diode. In der Gegenrichtung sperrt die Diode, und der Strom muss durch den Widerstand fließen.\\ \subsection{Bild 7.} \paragraph{Funktionsweise} -Im Inneren der Ventils befindet sich ein beweglicher Kolben. -Wenn nur von einer Seite Luft einströmt, drückt der Luftdruck den Kolben auf den gegenüberliegenden Sitz. -Dadurch wird deer Weg zum Ausgang versperrt. -Liegt an beiden Seiten Druck an, blockieren sich die Kräfte gegenseitig. -Die Luft kann nun von der Seite mit dem niedrigeren Druck am Kolben vorbei zum mittleren Ausgang strömen. -Wenn beide Drücke exakt gleich sin, schaltet das Ventil ebenfalls durch. +Im Inneren des Ventils befindet sich ein beweglicher Kolben. +Wenn nur von einer Seite Luft einströmt, drückt der Luftdruck den Kolben auf den gegenüberliegenden Sitz. +Dadurch wird der Weg zum Ausgang versperrt. +Liegt an beiden Seiten Druck an, blockieren sich die Kräfte gegenseitig. +Die Luft kann nun von der Seite mit dem niedrigeren Druck am Kolben vorbei zum mittleren Ausgang strömen. +Wenn beide Drücke exakt gleich sind, schaltet das Ventil ebenfalls durch. \paragraph{Welche logische Funktion realisiert es?} -Das Zweidruckventil realisiert ein AND-Verknüpfung. +Das Zweidruckventil realisiert eine AND-Verknüpfung. Es erscheint nur ein Signal am Ausgang, wenn sowohl am Eingang links als auch am Eingang rechts Druckluft anliegt. \begin{figure}[htbp] @@ -103,9 +101,9 @@ Es erscheint nur ein Signal am Ausgang, wenn sowohl am Eingang links als auch am \begin{figure}[H] \centering - \includegraphics[width=0.5\textwidth] + \includegraphics[width=0.5\textwidth] {Bilder/Weg-Schritt-Diagramm/A2_1.png} - \caption{Einfachwirkender Zylinder - Weg-Schritt-Diagramm} + \caption{Einfachwirkender Zylinder -- Weg-Schritt-Diagramm} \label{fig:A2_1} \end{figure} @@ -113,9 +111,9 @@ Es erscheint nur ein Signal am Ausgang, wenn sowohl am Eingang links als auch am \begin{figure}[H] \centering - \includegraphics[width=0.7\textwidth] + \includegraphics[width=0.7\textwidth] {Bilder/Systemschaltplan/Aufgabe2_1.png} - \caption{Einfachwirkender Zylinder - Systemschaltplan} + \caption{Einfachwirkender Zylinder -- Systemschaltplan} \label{fig:Aufgabe2_1} \end{figure} @@ -125,11 +123,10 @@ Wenn man das Ventil aufdreht, wird die Zuluft erhöht. Hierdurch erhält man höhere Ausfahrgeschwindigkeiten des Zylinders. Allerdings kommt es bei kleineren Geschwindigkeiten zu einem Ruckeln. - \subsubsection{Stick-Slip-Effekt} Der Stick-Slip-Effekt entsteht durch den Übergang von Haftreibung zur Gleitreibung. -Bei langsamen Ausfahren des Zylinders kommt es zu einem ruckweisen Bewegen der Kolbenstange. +Beim langsamen Ausfahren des Zylinders kommt es zu einer ruckweisen Bewegung der Kolbenstange. \subsection{Doppeltwirkender Zylinder} @@ -137,9 +134,9 @@ Bei langsamen Ausfahren des Zylinders kommt es zu einem ruckweisen Bewegen der K \begin{figure}[H] \centering - \includegraphics[width=0.5\textwidth] + \includegraphics[width=0.5\textwidth] {Bilder/Weg-Schritt-Diagramm/A2_2.png} - \caption{Doppeltwirkender Zylinder - Weg-Schritt-Diagramm} + \caption{Doppeltwirkender Zylinder -- Weg-Schritt-Diagramm} \label{fig:A2_2} \end{figure} @@ -147,17 +144,17 @@ Bei langsamen Ausfahren des Zylinders kommt es zu einem ruckweisen Bewegen der K \begin{figure}[H] \centering - \includegraphics[width=0.7\textwidth] + \includegraphics[width=0.7\textwidth] {Bilder/Systemschaltplan/Aufgabe2_2.png} - \caption{Doppeltwirkender Zylinder - Systemschaltplan} + \caption{Doppeltwirkender Zylinder -- Systemschaltplan} \label{fig:Aufgabe2_2} \end{figure} \subsubsection{Drossel-Rückschlagventil} Durch die Abluftdrosselung zeigt sich, dass hierbei die Bewegung stabilisiert wird. -Der Stick-Slip-Effekt wird minimiert. -Bei der geringen Geschwindigkeiten hat man dennoch ein Ruckeln. +Der Stick-Slip-Effekt wird minimiert. +Bei geringen Geschwindigkeiten tritt dennoch ein Ruckeln auf. \subsection{Folgesteuerung mit einem doppeltwirkenden Zylinder} @@ -165,9 +162,9 @@ Bei der geringen Geschwindigkeiten hat man dennoch ein Ruckeln. \begin{figure}[H] \centering - \includegraphics[width=0.5\textwidth] + \includegraphics[width=0.5\textwidth] {Bilder/Weg-Schritt-Diagramm/A2_3.png} - \caption{Folgesteuerung mit einem doppeltwirkenden Zylinder - Weg-Schritt-Diagramm} + \caption{Folgesteuerung mit einem doppeltwirkenden Zylinder -- Weg-Schritt-Diagramm} \label{fig:A2_3} \end{figure} @@ -179,9 +176,9 @@ Die Funktionsfähigkeit wurde erfolgreich abgenommen. \begin{figure}[H] \centering - \includegraphics[width=0.5\textwidth] + \includegraphics[width=0.5\textwidth] {Bilder/Weg-Schritt-Diagramm/A2_4.png} - \caption{Folgesteuerung mit zwei doppeltwirkenden Zylinder - Weg-Schritt-Diagramm} + \caption{Folgesteuerung mit zwei doppeltwirkenden Zylindern -- Weg-Schritt-Diagramm} \label{fig:A2_4} \end{figure} @@ -193,14 +190,108 @@ Der Schaltplan wurde realisiert. \subsubsection{Wirkungsweise} -Wenn die End- oder Anfangsposition eines Zylinders erreicht wird, schaltet das Wegeventil, was für die Zuluft des anderen Zylinders verantwortlich ist. -Dadurch wird der eine Zylinder durch den anderen gesteuert. +Wenn die End- oder Anfangsposition eines Zylinders erreicht wird, schaltet das Wegeventil, welches für die Zuluft des anderen Zylinders verantwortlich ist. +Dadurch wird der eine Zylinder durch den anderen gesteuert. Wenn zum Beispiel der Zylinder 1 die Endposition 2.2 erreicht, wird das Wegeventil für den Zylinder 2 so gestellt, dass dieser ausfährt. -Generell gibt es noch ein 3/2-Wegeventil mit einem Wahlschalter, welcher die Zuluft für den Zylinder 1 steuert, da das Ventil mit einem Zweidruckventil (also einer AND-Verknüpfung) verschalten ist. +Generell gibt es noch ein 3/2-Wegeventil mit einem Wahlschalter, welcher die Zuluft für den Zylinder 1 steuert, da das Ventil mit einem Zweidruckventil (also einer AND-Verknüpfung) verschaltet ist. -\subsection{Ausarbeitung: Berechnung und wirtschaflicher Vergleich} +\subsection{Ausarbeitung: Berechnung und wirtschaftlicher Vergleich} -%Fehlt noch +\subsubsection{Berechnung der Kolbenstangenkraft F} -\end{document} \ No newline at end of file +\begin{equation} +\label{eq:Kolbenstangenkraft} +F = A \cdot p = \left(\dfrac{d}{2}\right)^2 \cdot \pi \cdot p +\end{equation} + +$d = 20\,mm$ \\ +$p = 5\,bar = 0{,}5 \dfrac{N}{mm^2}$ + +$F = 157{,}1\,N$ + +\subsubsection{Berechnung der Arbeit W} + +\begin{equation} +\label{qe:gelArbeit} +W = F \cdot s +\end{equation} + +$F = 157{,}1\,N$\\ +$s = 200\,mm$ + +$W = 31{,}42\,Nm$ + +\subsubsection{Berechnung der Leistung P} + +\begin{equation} +\label{qe:Leistung} +P = \dfrac{W}{T} +\end{equation} + +$W = 31{,}42\,Nm$\\ +$T = 2\,s$ + +$P = 15{,}71\,W$ + +\subsubsection{Berechnung des Luftverbrauchs} + +\begin{align} +\label{eq:QZ} +QZ &= 2 \cdot \left(\dfrac{d}{2}\right)^2 \cdot \pi \cdot s \cdot n +\cdot \dfrac{p+1\,bar}{1\,bar} +\cdot \left(1+\dfrac{\eta_v}{100\,\%}\right) +\\[1em] +\label{eq:QZWerte} +QZ &= 2 \cdot \left(\dfrac{20\,mm}{2}\right)^2 \cdot \pi \cdot 100\,mm +\cdot 30\dfrac{1}{min} +\cdot \dfrac{5\,bar+1\,bar}{1\,bar} +\cdot \left(1+\dfrac{20\,\%}{100\,\%}\right) +\\[1em] +QZ &= 13{,}6 \cdot 10^6 \dfrac{mm^3}{min} += 13{,}6 \dfrac{l}{min} +\end{align} + +\begin{align} +\label{eq:QS} +QS &= k \cdot \left(\dfrac{d_S}{2}\right)^2 \cdot \pi \cdot l +\cdot \dfrac{p+1\,bar}{1\,bar} \cdot n +\\[1em] +\label{eq:QSWerte} +QS &= 4 \cdot \left(\dfrac{2{,}6\,mm}{2}\right)^2 \cdot \pi \cdot 650\,mm +\cdot \dfrac{5\,bar+1\,bar}{1\,bar} \cdot 30 +\\[1em] +QS &= 2{,}5 \cdot 10^6 \dfrac{mm^3}{min} += 2{,}5 \dfrac{l}{min} +\end{align} + +\begin{equation} +\label{eq:Q} +Q = QZ + QS = 13{,}6 \dfrac{l}{min} + 2{,}5 \dfrac{l}{min} = 16{,}1 \dfrac{l}{min} +\end{equation} + +\subsubsection{Vergleich der Wartungseinheit} + +Da die Wartungseinheit auf $550\dfrac{l}{min}$ spezifiziert ist, ist sie für unseren Einsatz von $16{,}1\dfrac{l}{min}$ deutlich überdimensioniert. + +\subsubsection{Betriebskosten der pneumatischen Steuerung} + +\begin{align} +\label{eq:BK} +BK &= Q \cdot BD \cdot AT \cdot S \cdot AS \cdot EK \cdot \dfrac{60}{1000} +\\[1em] +\label{eq:BKWerte} +BK &= 16{,}1 \dfrac{l}{min} \cdot 10\,Jahre \cdot 220\,\dfrac{Tage}{Jahr} \cdot 2\,\dfrac{Schichten}{Tag} \cdot 8\,\dfrac{h}{Schicht} \cdot 7{,}3\,\dfrac{ct}{m^3} \cdot \dfrac{60}{1000} +\\[1em] +BK &= 248223\,ct +\\[1em] +BK &= 2482{,}23\,\text{€} +\end{align} + +Entgegen der Gl. 17 aus der Anleitung habe ich in \autoref{eq:BK} anstatt durch 100.000 nur durch 1.000 geteilt. Diese Teilung dient der Umrechnung von Litern auf $m^3$, wobei es sich um einen Faktor von 1000 handeln sollte. + +\subsubsection{Vergleich der Betriebskosten} + +Die Betriebskosten für den pneumatischen Zylinder sind mit 2482\,€ deutlich höher als die eines elektrischen Linearmotors, der nur 960\,€ kosten würde. Ein Betrieb mit Druckluft wäre also nicht wirtschaftlich. + +\end{document} diff --git a/Mechatronische Komponenten MK/Versuch 5/Versuch5_Peschka_Debray_Jacobs_ohne_Rechtschreibkontrolle.pdf b/Mechatronische Komponenten MK/Versuch 5/Versuch5_Peschka_Debray_Jacobs_ohne_Rechtschreibkontrolle.pdf new file mode 100644 index 0000000000000000000000000000000000000000..d6576b39a73f83dc34d39d8aac34dace96c8441c GIT binary patch literal 1015776 zcmeFYcT`hfw>BE2_aaCYP(V6J@1P=Gh=6n<0wTS)P@~eMOIL)T^d9L_1JVQpq(i8o zw?IOT5W?kszw@1QZu#T8cieIBKfg8hN_JU$jrq*=tTyM|e9xb1ib{ydQSkkl?46~M z=YGiTY3D+rtV|*P%)!Ia&xu=BlKVdrg}A1(o1cRZx45R8t)IhF2Yb)g4iu`Y6uy2w z4z}(TV1(3*hkz&Q#MXo=gzENW4&OfJ44M3LD0Ku771I%GyM5q&!S&+Nveb-u7hj$* z9T_#__`CN9M9zRhPG&O-2anhPQPIuWzl4zeZ^CH#c=~%OD~lV8zwoj3@b$9waqzGY z64&E?W9#PYAg=R2{%>Rve-Y&6z%6bLv~zK=_oEOu_P6u<_Z>}7ANLysH^2WbAwePj z{Dp?O*bO8H16y|oZUHgz8$_;lH_-gVyk5T%{Eq_9Z55ZI{~LGX!0hD_94`rfUt6Iq4OHp9Y=mE@iQfuxO< zDS^+a>B&}W1a=>IP`Yv2uQ>?*Xt9Jn^Q!R3P^|Tx9y9vtFB;82`J;5K+_>n_l|)vJ 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