File:WaveLongitudinal.gif
Jump to navigation
Jump to search
No higher resolution available.
WaveLongitudinal.gif (427 × 469 pixels, file size: 1.16 MB, MIME type: image/gif, looped, 63 frames, 6.3 s)
Captions
Captions
Add a one-line explanation of what this file represents
Summary[edit]
| Description |
English: propagating longitudinal waves
Deutsch: longitudinale Wellen |
| Date | |
| Source | Own work |
| Author | And1mu |
Source Code[edit]
| created with LaTeX and PGF/TikZ |
|---|
|
Script to create the animation: #!/bin/bash
set -eu
DIR="animate"
FILE="WaveLongitudinal"
NUM=0
rm -f ${DIR}/frame???.png
for ANG in $(seq -1.5 0.20 11) ; do
echo "Creating frame $NUM ..."
POS=$ANG
echo $POS $ANG
sed -i "s/\\\def\\\myt{.\+}/\\\def\\\myt{$POS}/" ${FILE}.tex
pdflatex -shell-escape ${FILE}.tex 1> /dev/null
echo "Convert to png ..."
NUMSTR=$(printf "%03d" $NUM)
convert -density 100 ${FILE}.svg -shave 3 ${DIR}/frame${NUMSTR}.png
NUM=$(($NUM+1))
done
cd $DIR
convert -delay 10 -loop 10000 frame*.png ${FILE}.gif
cd -
The code to create a single frame (WaveLongitudinal.tex): \documentclass[crop,border=3,tikz,convert={outext=.svg,command=\unexpanded{pdf2svg
\infile\space\outfile}},multi=false]{standalone}
\usepackage{ifthen}
\usetikzlibrary{math,decorations.pathmorphing,patterns}
\pgfdeclarelayer{background}
\pgfdeclarelayer{foreground}
\pgfsetlayers{background,main,foreground}
\begin{document}
\def\myt{5.1}
\def\mypi{3.141592653589793}
\newcommand{\spring}[2]{
\def\s{0.015}
\tikzmath{\l = ((#2)-(#1+8*\s))*9 ;}
\draw[] (#1,0)--(#1+\s,0);
\draw[decoration={aspect=0.33, segment length=\l,
amplitude=2mm,coil},decorate] (#1+\s,0)--(#2,0);
}
\newcommand{\wave}[4]{
\def\myA{#1}
\def\mya{#2}
\def\myB{#3}
\def\myb{#4}
\def\olda{0}
\draw[ultra thick,blue,smooth,domain=0:10,samples=100] plot
function {0.5*(\myA*exp(-\mya*(10-x-\myt)**2)+\myB*exp(-\myb*(x-\myt)**2))
-1};
\foreach \a in {0,0.5,...,10}{
\tikzmath{\myy=
0.2*(\myA*exp(-\mya*(10-\a-\myt)^2)+\myB*exp(-\myb*(\a-\myt)^2));
}
\tikzmath{\myv=
0.5*(\mya*(10-\a-\myt)* \myA*exp(-\mya*(10-\a-\myt)^2)
+\myb*(\a-\myt)*\myB*exp(-\myb*(\a-\myt)^2));
}
\tikzmath{\myoldy=
0.2*(\myA*exp(-\mya*(10-\a+0.5-\myt)^2)+\myB*exp(-\myb*(\a-0.5-\myt)^2));
}
\ifthenelse{\lengthtest{\myy pt > 0.1 pt} \OR \lengthtest{\myy pt < -0.1 pt}}{
\draw[red,->,tips=proper] (\a,0) -++ (\myy,0);
}{
\draw[red] (\a,0) -++ (\myy,0);
}
\draw[red,fill=white] (\a,0) circle (0.6mm);
\begin{pgfonlayer}{foreground}
\fill[red] (\a+\myy,0) circle (0.6mm);
\end{pgfonlayer}
\ifthenelse{\lengthtest{\a pt > 0 pt}}{
\spring{\a-0.5+\myoldy}{\a+\myy};
}
% \pgfmathparse{\a==4?1:0}
%\ifthenelse{\lengthtest{\myv pt > 0.1 pt} \OR \lengthtest{\myv pt < -0.1 pt}}{
% \draw[thick,->,tips=proper] (\a+\myy,1) -++ (\myv,0);
%}{
% \draw[thick] (\a+\myy,1) -++ (\myv,0);
%}
}
}
\newcommand{\sinewave}[1]{
\def\mypi{3.141592653589793}
\def\myx{\myt}
\draw[ultra thick,blue,smooth,domain=0:9.5,samples=40] plot
function {0.7*sin(x-\myx)-1};
\draw[ultra thick,dotted,blue,smooth,domain=9.5:10,samples=5] plot
function {0.7*sin(x-\myx)-1};
\foreach \a in {0,0.5,...,10}{
\tikzmath{\myy=0.35*sin(180/\mypi*(\a-\myx));}
\tikzmath{\myoldy=0.35*sin(180/\mypi*(\a-0.5-\myx));}
\ifthenelse{\lengthtest{\myy pt > 0.1 pt} \OR \lengthtest{\myy pt < -0.1 pt}}{
\draw[red,->,tips=proper] (\a,0) -++ (\myy,0);
}{
\draw[red] (\a,0) -++ (\myy,0);
}
\draw[red,fill=white] (\a,0) circle (0.6mm);
\begin{pgfonlayer}{foreground}
\fill[red] (\a+\myy,0) circle (0.6mm);
\end{pgfonlayer}
\ifthenelse{\lengthtest{\a pt > 0 pt}}{
\spring{\a-0.5+\myoldy}{\a+\myy};
}
}
}
\begin{tikzpicture}[>=latex,scale=1]
\begin{pgfonlayer}{background}
\fill[white] (-0.5,-8) rectangle (10.5,4);
\end{pgfonlayer}
\clip (0,-8) rectangle (10,4);
\begin{pgfonlayer}{foreground}
\clip (0,-8) rectangle (10,4);
\end{pgfonlayer}
% \draw[thick,->] (0,-0.3) -- (0,2.8) node[above]{\Large $y$};
%\draw[thick,->] (-0.1,0) -- (10.5,0) node[below]{\Large $x$};
\foreach \a in {-1.5,-1,...,0}{
\draw[dotted] (0,\a) -- (10,\a);
}
\wave{1}{5}{1}{5}
\begin{scope}[shift={(0,-2.5)}]
%\draw[thick,->] (0,-1.7) -- (0,1.8) node[above]{\Large $y$};
%\draw[thick,->] (-0.1,0) -- (10.5,0) node[below]{\Large $x$};
\foreach \a in {-2,-1.5,...,0}{
\draw[dotted] (0,\a) -- (10,\a);
}
\wave{-1.5}{5}{1.5}{5}
\end{scope}
\begin{scope}[shift={(0,3)}]
%\draw[thick,->] (0,-1.7) -- (0,1.8) node[above]{\Large $y$};
%\draw[thick,->] (-0.1,0) -- (10.5,0) node[below]{\Large $x$};
\foreach \a in {-2,-1.5,...,0}{
\draw[dotted] (0,\a) -- (10,\a);
}
\wave{-1.3}{0.8}{1.4}{10}
\end{scope}
\begin{scope}[shift={(0,-5.5)}]
%\draw[thick,->] (0,-1.7) -- (0,1.8) node[above]{\Large $y$};
%\draw[thick,->] (-0.1,0) -- (10.5,0) node[below]{\Large $x$};
\foreach \a in {-2,-1.5,...,0}{
\draw[dotted] (0,\a) -- (10,\a);
}
\sinewave{-1.3}{0.8}{1.4}{10}
\end{scope}
\end{tikzpicture}
\end{document}
|
Licensing[edit]
I, the copyright holder of this work, hereby publish it under the following license:
This file is licensed under the Creative Commons Attribution-Share Alike 4.0 International license.
- You are free:
- to share – to copy, distribute and transmit the work
- to remix – to adapt the work
- Under the following conditions:
- attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
- share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.
File history
Click on a date/time to view the file as it appeared at that time.
| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 14:38, 22 June 2016 | | 427 × 469 (1.16 MB) | And1mu (talk | contribs) | User created page with UploadWizard |
You cannot overwrite this file.
File usage on Commons
There are no pages that use this file.
File usage on other wikis
The following other wikis use this file:
- Usage on de.wikibooks.org
- Usage on fr.wiktionary.org
