From b492fb3ba89205b984c390a39cc9f57d4b2059fa Mon Sep 17 00:00:00 2001 From: samuel niederer Date: Thu, 19 May 2022 18:00:01 +0200 Subject: add tick figure of simple mass system --- buch/papers/kra/images/simple_mass_spring.tex | 64 +++++++++++++++++++++++++++ 1 file changed, 64 insertions(+) create mode 100644 buch/papers/kra/images/simple_mass_spring.tex (limited to 'buch/papers/kra/images/simple_mass_spring.tex') diff --git a/buch/papers/kra/images/simple_mass_spring.tex b/buch/papers/kra/images/simple_mass_spring.tex new file mode 100644 index 0000000..e98ee3e --- /dev/null +++ b/buch/papers/kra/images/simple_mass_spring.tex @@ -0,0 +1,64 @@ +% create tikz drawing of a simple mass spring system + +\tikzstyle{hmline}=[{Latex[length=3.3,width=2.2]}-{Latex[length=3.3,width=2.2]},line width=0.3] +\tikzstyle{vmline}=[red, dashed,line width=0.4,dash pattern=on 1pt off 1pt] +\tikzstyle{ground}=[pattern=north east lines] +\tikzstyle{mass}=[line width=0.6,red!30!black,fill=red!40!black!10,rounded corners=1,top color=red!40!black!20,bottom color=red!40!black!10,shading angle=20] +\tikzstyle{spring}=[line width=0.8,blue!7!black!80,snake=coil,segment amplitude=5,line cap=round] + +\begin{tikzpicture}[scale=2] + \newcommand{\ticks}[2] + { + % arguments: x, y coordinates + \draw[thick] (#1, #2 - 0.1 / 2) --++ (0, 0.1); + } + + \tikzmath{ + \hWall = 1.5; + \wWall = 0.3; + \lWall = 3.5; + \hMass = 0.6; + \wMass = 1.1; + \xMass1 = 1.2; + \xMass2 = 2.2; + \xAxisYpos = 0; + \originX1 = 0; + \originY1 = 0.5; + \originX2 = 0; + \originY2 = -2; + \springscale=7; + } + + % create x axis + \draw[->,thick] (0,\xAxisYpos) --+ (\lWall, 0) node[right]{$x$}; + + % create ticks on x axis + \ticks{\wWall}{\xAxisYpos} + \ticks{\xMass1}{\xAxisYpos} + \ticks{\xMass2}{\xAxisYpos} + + % create underground + \draw[ground] (\originX1, \originY1) ++ (0, 0) --+(\lWall,0) --+(\lWall, \wWall) --+(\wWall, \wWall) --+(\wWall, \hWall) --+(0, \hWall) -- cycle; + \draw[ground] (\originX2, \originY2) ++ (0, 0) --+(\lWall,0) --+(\lWall, \wWall) --+(\wWall, \wWall) --+(\wWall, \hWall) --+(0, \hWall) -- cycle; + + % create masses + \draw[mass] (\originX1, \originY1) ++ (\xMass1, \wWall) rectangle ++ (\wMass,\hMass) node[midway] {$m$}; + \draw[mass] (\originX2, \originY2) ++ (\xMass2, \wWall) rectangle ++ (\wMass,\hMass) node[midway] {$m$}; + + % create springs + \draw[spring, segment length=(\xMass1 - \wWall) * \springscale] (\originX1, \originY1) ++ (\wWall, \wWall + \hMass / 2) --+ (\xMass1 - \wWall, 0); + \draw[spring, segment length=(\xMass2 - \wWall) * \springscale] (\originX2, \originY2) ++ (\wWall, \wWall + \hMass / 2) --+ (\xMass2 - \wWall, 0); + + % create vertical measurement line + \draw[vmline] (\xMass1, \xAxisYpos) --+(0, \originY1 + \wWall); + \draw[vmline] (\xMass2, \xAxisYpos) --+(0, \originY2 + \hMass+\wWall); + \draw[vmline] (\wWall, \originY1+\wWall) --(\wWall, \originY2 + \hWall); + + % create horizontal measurement line + \draw[hmline] (\wWall, \xAxisYpos + 0.2) -- (\xMass1, \xAxisYpos + 0.2) node[midway,fill=white,inner sep=0] {$\ell_0$}; + \draw[hmline] (\xMass1, \xAxisYpos + 0.2) -- (\xMass2, \xAxisYpos + 0.2) node[midway,fill=white,inner sep=0] {$\Delta_{x}$}; + \draw[hmline] (\wWall, \xAxisYpos - 0.3) -- (\xMass2, \xAxisYpos - 0.3) node[midway,fill=white,inner sep=0] {$\ell_{1}$}; + + % create force arrow + \draw[->,blue, very thick,line cap=round] (\xMass2 + \wMass / 2, \originY2 + \wWall + \hMass + 0.15) node[above] {$\vb{F_{R}}$} --+ (-0.5, 0); +\end{tikzpicture} \ No newline at end of file -- cgit v1.2.1 From ffb50c6574c53b805df068fd2ce2e89726597911 Mon Sep 17 00:00:00 2001 From: samuel niederer Date: Thu, 26 May 2022 11:36:20 +0200 Subject: add spring constant --- buch/papers/kra/images/simple_mass_spring.tex | 6 ++++-- 1 file changed, 4 insertions(+), 2 deletions(-) (limited to 'buch/papers/kra/images/simple_mass_spring.tex') diff --git a/buch/papers/kra/images/simple_mass_spring.tex b/buch/papers/kra/images/simple_mass_spring.tex index e98ee3e..207f1e0 100644 --- a/buch/papers/kra/images/simple_mass_spring.tex +++ b/buch/papers/kra/images/simple_mass_spring.tex @@ -46,8 +46,10 @@ \draw[mass] (\originX2, \originY2) ++ (\xMass2, \wWall) rectangle ++ (\wMass,\hMass) node[midway] {$m$}; % create springs - \draw[spring, segment length=(\xMass1 - \wWall) * \springscale] (\originX1, \originY1) ++ (\wWall, \wWall + \hMass / 2) --+ (\xMass1 - \wWall, 0); - \draw[spring, segment length=(\xMass2 - \wWall) * \springscale] (\originX2, \originY2) ++ (\wWall, \wWall + \hMass / 2) --+ (\xMass2 - \wWall, 0); + \draw[spring, segment length=(\xMass1 - \wWall) * \springscale] (\originX1, \originY1) ++ + (\wWall, \wWall + \hMass / 2) --++ (\xMass1 - \wWall, 0) node[midway,above=0.2] {$k$}; + \draw[spring, segment length=(\xMass2 - \wWall) * \springscale] (\originX2, \originY2) ++ + (\wWall, \wWall + \hMass / 2) --++ (\xMass2 - \wWall, 0) node[midway,above=0.2] {$k$}; % create vertical measurement line \draw[vmline] (\xMass1, \xAxisYpos) --+(0, \originY1 + \wWall); -- cgit v1.2.1 From 5e25727877da020b0b23132fec8c0ea70288a18b Mon Sep 17 00:00:00 2001 From: samuel niederer Date: Sun, 24 Jul 2022 12:03:25 +0200 Subject: add presentation files --- buch/papers/kra/images/simple_mass_spring.tex | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) (limited to 'buch/papers/kra/images/simple_mass_spring.tex') diff --git a/buch/papers/kra/images/simple_mass_spring.tex b/buch/papers/kra/images/simple_mass_spring.tex index 207f1e0..e0e869a 100644 --- a/buch/papers/kra/images/simple_mass_spring.tex +++ b/buch/papers/kra/images/simple_mass_spring.tex @@ -14,7 +14,7 @@ } \tikzmath{ - \hWall = 1.5; + \hWall = 1.2; \wWall = 0.3; \lWall = 3.5; \hMass = 0.6; -- cgit v1.2.1 From 96ca6105b6adad8a6b3c5a1af426df9f8c4024c0 Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?Andreas=20M=C3=BCller?= Date: Mon, 15 Aug 2022 06:54:23 +0200 Subject: fix physics dependency --- buch/papers/kra/images/simple_mass_spring.tex | 12 ++++++------ 1 file changed, 6 insertions(+), 6 deletions(-) (limited to 'buch/papers/kra/images/simple_mass_spring.tex') diff --git a/buch/papers/kra/images/simple_mass_spring.tex b/buch/papers/kra/images/simple_mass_spring.tex index e0e869a..868362d 100644 --- a/buch/papers/kra/images/simple_mass_spring.tex +++ b/buch/papers/kra/images/simple_mass_spring.tex @@ -6,7 +6,7 @@ \tikzstyle{mass}=[line width=0.6,red!30!black,fill=red!40!black!10,rounded corners=1,top color=red!40!black!20,bottom color=red!40!black!10,shading angle=20] \tikzstyle{spring}=[line width=0.8,blue!7!black!80,snake=coil,segment amplitude=5,line cap=round] -\begin{tikzpicture}[scale=2] +\begin{tikzpicture}[scale=2,>=latex] \newcommand{\ticks}[2] { % arguments: x, y coordinates @@ -47,9 +47,9 @@ % create springs \draw[spring, segment length=(\xMass1 - \wWall) * \springscale] (\originX1, \originY1) ++ - (\wWall, \wWall + \hMass / 2) --++ (\xMass1 - \wWall, 0) node[midway,above=0.2] {$k$}; + (\wWall, \wWall + \hMass / 2) --++ (\xMass1 - \wWall, 0) node[midway,above=3.5] {$k$}; \draw[spring, segment length=(\xMass2 - \wWall) * \springscale] (\originX2, \originY2) ++ - (\wWall, \wWall + \hMass / 2) --++ (\xMass2 - \wWall, 0) node[midway,above=0.2] {$k$}; + (\wWall, \wWall + \hMass / 2) --++ (\xMass2 - \wWall, 0) node[midway,above=3.5] {$k$}; % create vertical measurement line \draw[vmline] (\xMass1, \xAxisYpos) --+(0, \originY1 + \wWall); @@ -57,10 +57,10 @@ \draw[vmline] (\wWall, \originY1+\wWall) --(\wWall, \originY2 + \hWall); % create horizontal measurement line - \draw[hmline] (\wWall, \xAxisYpos + 0.2) -- (\xMass1, \xAxisYpos + 0.2) node[midway,fill=white,inner sep=0] {$\ell_0$}; + \draw[hmline] (\wWall, \xAxisYpos + 0.2) -- (\xMass1, \xAxisYpos + 0.2) node[midway,fill=white,inner sep=0] {$l_0$}; \draw[hmline] (\xMass1, \xAxisYpos + 0.2) -- (\xMass2, \xAxisYpos + 0.2) node[midway,fill=white,inner sep=0] {$\Delta_{x}$}; - \draw[hmline] (\wWall, \xAxisYpos - 0.3) -- (\xMass2, \xAxisYpos - 0.3) node[midway,fill=white,inner sep=0] {$\ell_{1}$}; + \draw[hmline] (\wWall, \xAxisYpos - 0.3) -- (\xMass2, \xAxisYpos - 0.3) node[midway,fill=white,inner sep=0] {$l_{1}$}; % create force arrow \draw[->,blue, very thick,line cap=round] (\xMass2 + \wMass / 2, \originY2 + \wWall + \hMass + 0.15) node[above] {$\vb{F_{R}}$} --+ (-0.5, 0); -\end{tikzpicture} \ No newline at end of file +\end{tikzpicture} -- cgit v1.2.1