From 403ce26fcf7608399833e115771c59537107ca21 Mon Sep 17 00:00:00 2001 From: Darius Peters <38152878+dariusptrs@users.noreply.github.com> Date: Thu, 7 Nov 2024 15:36:38 +0100 Subject: [PATCH] Schwebung improvement Co-Authored-By: TimoLass <172315704+TimoLass@users.noreply.github.com> --- Physik.tex | 11 +++++++---- README.md | 2 +- img/schwebung_neu.m | 28 ++++++++++++++++++++++++++++ img/schwebung_neu.png | Bin 0 -> 181117 bytes 4 files changed, 36 insertions(+), 5 deletions(-) create mode 100644 img/schwebung_neu.m create mode 100644 img/schwebung_neu.png diff --git a/Physik.tex b/Physik.tex index d333984..1bb0fae 100644 --- a/Physik.tex +++ b/Physik.tex @@ -17,7 +17,7 @@ % set document information \title{Physik} -\author{Darius Peters, Steven Salloum} % optional, delete if unchanged +\author{Darius Peters, Steven Salloum, Timotheus Lass} % optional, delete if unchanged \myemail{info@latex4ei.de} % optional, delete if unchanged \mywebsite{www.latex4ei.de} % optional, delete if unchanged @@ -251,7 +251,10 @@ \subsection{Schwebung} Tritt auf bei $f_1\approx f_2$ ($f_1 \neq f_2$)\\ $f_S=|f_1-f_2| \qquad f_R= \frac{f_1+f_2}{2}$\\ $y(t)=\underbrace{2\hat{y}\cos(2\pi \cdot \frac{f_1-f_2}{2}\cdot t)}_{\text{Amplitudenfaktor}} \cdot \underbrace{\sin(2\pi \cdot \frac{f_1+f_2}{2}\cdot t)}_{f_R} $\\ -\includegraphics[width=.9\columnwidth]{Schwebung_crop.pdf} +\begin{center} + \includegraphics[width=.8\columnwidth]{schwebung_neu.png}\\ +\textcolor{darkgray}{Die blaue Kurve ist die hochfrequente Schwingung (Ton), und die roten und schwarzen Kurven repräsentieren die Hüllkurven der Schwebung (Lautstärke).} + \end{center} \begin{minipage}{\columnwidth} \subsection{Gekoppelte Wellen} \begin{enumerate} @@ -479,8 +482,8 @@ \section{Thermodynamik} \subsection{Hauptsätze der Thermodynamik} \begin{itemize} -\item[0.] Zwei Körper im thermischen Gleichgewicht zu einem dritten\\ $\rightarrow$ Alle stehen untereinander im Gleichgewicht\\ -\item[1.] $\Delta U = \Delta Q + \Delta W \rightarrow $ Es gibt kein Perpetuum mobile erster Art - Maschine mit $>$100\% Wirkungsgrad\\ \\ +\item[0.] Zwei Körper im thermischen Gleichgewicht zu einem dritten\\ $\rightarrow$ Alle stehen untereinander im Gleichgewicht\\ +\item[1.] $\Delta U = \Delta Q + \Delta W \rightarrow $ Es gibt kein Perpetuum mobile erster Art - Maschine mit $>$100\% Wirkungsgrad\\ $\textbf{Verschiedene Möglichkeiten für Zustandsänderung:}$ %TODO BESSERE LISTE %TODO \begin{sectionbox} diff --git a/README.md b/README.md index 4b7ff54..a08dfce 100644 --- a/README.md +++ b/README.md @@ -1,6 +1,6 @@ # Physik -[![Actions Status](https://github.com/dariusptrs/Physik/workflows/CI/badge.svg)](https://github.com/dariusptrs/Physik) +[![Actions Status](https://github.com/latex4ei/Physik-Ei/workflows/CI/badge.svg)](https://github.com/latex4ei/Physik-Ei) [![Join the chat at https://gitter.im/LaTeX4Ei/Lobby](https://badges.gitter.im/LaTeX4Ei/Lobby.svg)](https://gitter.im/LaTeX4Ei/Lobby?utm_source=badge&utm_medium=badge&utm_campaign=pr-badge&utm_content=badge) Write beautiful latex cheat sheets with minimal effort. diff --git a/img/schwebung_neu.m b/img/schwebung_neu.m new file mode 100644 index 0000000..3bf151f --- /dev/null +++ b/img/schwebung_neu.m @@ -0,0 +1,28 @@ + +%Code von Timotheus Lass für und mit Darius Peters +t=0:0.0001:6.5*pi; %Zeitvektor t +f1=5; %Frequenz 1 +f2=5.2; %Frquenz 2 +%Signal und Plot schwarze Kurve +y1=cos(2*pi*((f1-f2)/2)*t); +p1=plot(t,y1,'Color',[0 0 0],'LineWidth',1.2); +hold on +%Achsenbeschriftung und -bearbeitung +xlabel('t'); +ylabel('y(t)'); +ax=gca; +xticks(-1000); +yticks(-1000); +ax.XAxisLocation='origin'; +%annotation('arrow',[0.1, 0.9],[0.515, 0.515]); +xlim([0 6.5*pi]); +ylim([-2 2]); +%Signal und Plot rote Kurve +y2=-cos(2*pi*((f1-f2)/2)*t); +p2=plot(t,y2,'r','LineWidth',1.2); +%Signal und Plot blaue Kurve +y3=cos(2*pi*((f1-f2)/2)*t).*sin(2*pi*((f1+f2)/6)*t); +p3=plot(t,y3,'b'); +legend('Hüllkurve','Hüllkurve','Ton'); +exportgraphics(gcf, 'schwebung_neu.png', 'ContentType', 'image', 'Resolution', 600); +hold off; diff --git a/img/schwebung_neu.png b/img/schwebung_neu.png new file mode 100644 index 0000000000000000000000000000000000000000..b5d9a0797f3ec8b837c2963b0ae631b4e4c28735 GIT binary patch literal 181117 zcmeFZc{r8(`!>9)EtSwWq- zg~GXnLY;be>Nvb|f-i>){&U(!Qr#Yf(h^7hJx1_CI6nLF(A&?!+GrqOxpi^4Nvf$xRr^Lli&WeObgy z80b&)m*n~6CsEW7ZW4w!Qc*wg)i^f(__I{D-6@)tgK84YZ2uLSn6Ti!o{iJ!ia6tg z()S~FZEO2gxm6fmWHXSj+cXgb=wpBX8HH*kXk4M7dd#F*WHDYByb^cxu2b{vN%bw< zBV_W)Cih6Wt+a|P)XP(ke#^`zOLEK%|My?Ly{VC{L%wcTcTud^j`Gz(UakQV6&Xy05jY#3epv_#KWi_3%?9Y|#uTs>d7^)V`U&e;0-NcXX<{{e4B5 z4qsxO-U_#^M{>tdGA)|c70MbKBxnZNtH0y-o$1_g#oj_+0dh+Y&PX~ronKkU6Rh>0 zy!f9uyZ@WuKvVzw)KKrz8(UjL@Zvo-`=XdNxfX)NLn*Z7<=aoOn$e>x_m;BM3xvl! zwuYQHx>UJGBWBP-530TS(B%bjHNsC6j!=xGH&HAovBqU>igPr6^IM_^7D&lE)mAk06UCCpFG>u3~E#$2U}9Q*Gv6P>nyn+*=;D 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