☰

让我们在这一集的空闲时间和无聊中找点乐子：

tag-icon • tag-icon tikz-pgf technical-drawing
让我们在这一集的空闲时间和无聊中找点乐子：

目前我使用以下路径样式在 TikZ 中绘制弹簧

\tikzstyle{spring}=[thick,decorate,decoration={zigzag,pre length=0.1cm,post
  length=0.1cm,segment length=6}]

例如

\draw[spring] (0,0) -- (0,1);

但是，是否可以使弹簧看起来像下图这样：

弹簧

有没有什么好的方法可以实现像上图那样拉伸或压缩弹簧的可能性？

答案1

您可以使用coil装饰来实现效果。segment length您可以模拟压缩量。

\documentclass{article} 
\usepackage{tikz}
\usetikzlibrary{decorations.pathmorphing,patterns}
\begin{document}
\begin{tikzpicture}
\node[circle,fill=blue,inner sep=2.5mm] (a) at (0,0) {};
\node[circle,fill=blue,inner sep=2.5mm] (b) at (2,2) {};
\draw[decoration={aspect=0.3, segment length=3mm, amplitude=3mm,coil},decorate] (0,5) -- (a); 
\draw[decoration={aspect=0.3, segment length=1.5mm, amplitude=3mm,coil},decorate] (2,5) -- (b); 
\fill [pattern = north east lines] (-1,5) rectangle (3,5.2);
\draw[thick] (-1,5) -- (3,5);
\end{tikzpicture}
\end{document}

在此处输入图片描述

答案2

仅限 PSTricks 粉丝：

在此处输入图片描述

\documentclass{article}
\usepackage{pst-coil}

\usepackage[active,tightpage]{preview}
\PreviewEnvironment{pspicture}
\PreviewBorder=12pt

\psset
{
    coilarm=0.25,
    coilwidth=0.3
}

\begin{document}

\begin{pspicture}[showgrid](-1,-2)(9,5)
    % Ceiling
    \psframe
    [
        fillstyle=vlines,
        hatchsep=2pt,
        hatchwidth=0.5\pslinewidth,
        hatchcolor=gray,
        hatchangle=45,
        linestyle=none
    ](0,4)(8,4.25)

    % Spring without box
    \uput[90](1,4.25){A}
    \pszigzag[coilheight=0.3](1,4)(1,2)


    % Spring stretched due to box weight
    \uput[90](3,4.25){B}
    \pszigzag[coilheight=0.5](3,4)(3,1)
    \psframe*[origin={3,1}](-0.5,0)(0.5,-1)

    % Spring stretched by external force
    \uput[90](5,4.25){C}
    \pszigzag[coilheight=0.8](5,4)(5,-0.5)
    \psframe*[origin={5,-0.5}](-0.5,0)(0.5,-1)

    % Position at any time
    \uput[90](7,4.25){D}
    \pszigzag[coilheight=0.7](7,4)(7,0)
    \psframe*[origin={7,0}](-0.5,0)(0.5,-1)

    % Reference lines
    \psset{linecolor=red,linestyle=dashed}
    \psline(0,2)(8,2)
    \psline(0,1)(3,1)
    \psline(0,-0.5)(5,-0.5)
    \psline(7,0)(8,0)

    % Labels
    \psset{linecolor=blue,linestyle=solid}
    \psline{<->}(-0.1,2)(-0.1,1)
    \uput[180](-0.1,1.5){$\Delta y$}
    \psline{<->}(-0.1,1)(-0.1,-0.5)
    \uput[180](-0.1,0.25){$A$}
    \psline{|->}(8.1,2)(8.1,0)
    \uput[0](8.1,1){$y$}
    \rput[br](8.5,-1.75){\tiny created by Forgiver \copyright 2012}
    \end{pspicture}

\end{document}

如果我们设置gridstyle为false，我们将得到更干净的结果，如下所示：

在此处输入图片描述

请注意，我保持每个弹簧的缠绕次数相等，以使其更加逼真。

编辑：

在此处输入图片描述

\documentclass[border=0pt,pstricks]{standalone}
\usepackage{pst-coil,pstricks-add}
\usepackage[nomessages]{fp}

\FPset\CoilArm{0.25}
\FPset\CoilWidth{0.3}
\FPeval\CoilTurn{round(50/3:3)}
\FPeval\DeltaY{0.5}
\FPeval\Amp{1.5}
\FPeval\FPS{25}
\FPeval\Vx{2}% propagation speed
\FPeval\Period{1}% second

\psset
{
    coilarm=\CoilArm,
    coilwidth=\CoilWidth,
}


\newcommand\System[4][0]{% #1: frame, #2: x, #3: y, #4: label
    \uput[90](#2,4.25){#4}
    \FPeval\CoilHeight{round((4-(#3)-2*CoilArm)/(CoilWidth*CoilTurn):3)}
    \pszigzag[coilheight=\CoilHeight,linejoin=2](#2,4)(#2,#3)
    \ifnum#1=1
        \bgroup
            \psset{origin={#2,#3}}
            \psframe[dimen=inner,fillstyle=solid,fillcolor=black](-0.5,0)(0.5,-1)
            \psdot[linecolor=yellow](0,-0.5)
        \egroup
    \fi
}

\begin{document}
\FPeval\DeltaTime{round(1/\FPS:2)}
\FPeval\TotalFrame{round(\FPS*\Period:0)}
\multido{\n=0.00+\DeltaTime}{\TotalFrame}{%
\begin{pspicture*}[showgrid=false](-1.5,-2)(3.5,5)
    % Ceiling
    \psframe
    [
        fillstyle=vlines,
        hatchsep=2pt,
        hatchwidth=0.5\pslinewidth,
        hatchcolor=gray,
        hatchangle=45,
        %linestyle=none
    ](0,4)(2,4.25)
    % Spring without box
    \FPeval\Y{round(-DeltaY-Amp*cos(2*pi*\n/Period)+2:3)}
    \System[1]{1}{\Y}{A}
    \psplot[algebraic,linecolor=red,plotpoints=1000]
        {-1.5}{3.5}{-\DeltaY-\Amp*cos((2*\psPi/\Period)*((-\Vx*\n+x-1)/\Vx))+2-0.5}
\end{pspicture*}}

\end{document}

答案3

这主要修改自这个答案。

\documentclass{article}
\usepackage{tikz}
\usetikzlibrary{decorations.pathmorphing,patterns}
\usetikzlibrary{calc,patterns,decorations.markings}
\usetikzlibrary{positioning}
%
\newcommand{\myfig}[4]{%
\tikzstyle{spring}=[thick,decorate,decoration={aspect=0.5, segment length=#1, amplitude=2mm,coil}]
\tikzstyle{platform}=[fill,pattern=north east lines,draw=none,minimum width=2cm,minimum height=0.3cm]
%
\coordinate (g) at (0,0);
\coordinate (topspring) at (0,-1cm);
\coordinate (bottomspring) at (0,{#2}); %%changing the values (5cm) here will compress or expand the spring
\coordinate (pt2) at ($(bottomspring) + (0,-.5cm)$); %% this is relative.
\coordinate (pt3) at ($(pt2) + (0,#3)$); %% this is relative.
%
\node [platform,anchor=south] at (g)  {};
\draw[very thick] (-1,0) -- (1,0);
\draw [thick](topspring)--(g);
\draw [spring] (bottomspring) -- (topspring);
\draw [thick] (bottomspring) -- (pt2.north);
\draw [fill=black] (pt3) circle (#3) node[draw=none,inner sep = 0,scale=#4,text=white]{$m$};
}
\begin{document}
%
\begin{tikzpicture}[yshift=0cm,every node/.style={draw,outer sep=0pt,thick}]
\begin{scope}[xshift=-2.5cm]
\myfig{1mm}{-3cm}{-0.1cm}{0}
\node[draw=none,right=.1cm] at (pt3)(a) {$A$};
\draw [thick,dashed] ($(pt3) + (0.8,0)$) -- +(1.2,0)node[draw=none,inner sep = 0,pos=.5](a1){};
\draw [thick,dashed,] ($(pt3) + (3.3,0)$) -- +(1.2,0)node[draw=none,inner sep = 0,pos=.5](a2){};
\end{scope}
%
\begin{scope}
\myfig{2mm}{-4.8cm}{-0.35cm}{1.5}
\node[draw=none,right=.25cm] at (pt3)(b) {$B$};
\draw [thick,dashed] ($(pt3) + (-1.7,0)$) -- +(1.2,0)node[draw=none,inner sep = 0,pos=.5](b1){};
\draw[thick,latex-latex] (a1) -- (b1)node[draw=none,inner sep = 0,pos=.5,right=0.1cm]{$\delta l_1$};
\end{scope}
%
\begin{scope}[xshift=2.5cm]
\myfig{3mm}{-6.6cm}{-0.4cm}{1.8}
\node[draw=none,right=.3cm] at (pt3)(b) {$C$};
\draw [thick,dashed] ($(pt3) + (-1.7,0)$) -- +(1.2,0)node[draw=none,inner sep = 0,pos=.5](c1){};
\draw[thick,latex-latex] (a2) -- (c1)node[draw=none,inner sep = 0,pos=.5,right=0.1cm]{$\delta l_2$};
\end{scope}
%
\end{tikzpicture}
%
\end{document}

在此处输入图片描述

如果代码有点混乱，请原谅。可以通过在范围内部（宏\myfig本身）插入额外的行来进一步简化。

让我们在这一集的空闲时间和无聊中找点乐子：

\documentclass{article}
\usepackage{filecontents}%
\begin{filecontents*}{beam.tex}
\documentclass[tikz]{standalone}
\usepackage{tikz}
\usetikzlibrary{decorations.pathmorphing,patterns}
\usetikzlibrary{calc,patterns,decorations.markings}
\usetikzlibrary{positioning}
%
\newcommand{\myfig}[4]{%
\tikzstyle{spring}=[thick,decorate,decoration={aspect=0.5, segment length=#1, amplitude=2mm,coil}]
\tikzstyle{platform}=[fill,pattern=north east lines,draw=none,minimum width=2cm,minimum height=0.3cm]
%
\coordinate (g) at (0,0);
\coordinate (topspring) at (0,-.2cm);
\coordinate (bottomspring) at (0,{#2}); %%changing the values (5cm) here will compress or expand the spring
\coordinate (pt2) at ($(bottomspring) + (0,-1cm)$); %% this is relative.
\coordinate (pt3) at ($(pt2) + (0,#3)$); %% this is relative.
%
\node [platform,anchor=south] at (g)  {};
\draw[very thick] (-1,0) -- (1,0);
\draw [thick](topspring)--(g);
\draw [spring] (bottomspring) -- (topspring);
\draw [thick] (bottomspring) -- (pt2.north);
\draw [fill=black] (pt3) circle (#3) node[draw=none,inner sep = 0,scale=#4,text=white]{$m$};
}
\begin{document}
%
\foreach \x/\y/\r/\s in {1/19/1/.3,1.4/24.8/2/.5,1.8/30.5/3/.7,2.2/36.3/4/.9,2.6/42/5/1.1,3/47.8/6/1.4,3.4/53.6/7/1.8,3.8/59.4/8/2.3,
4.2/65.2/9/2.7,4.4/68/10/3.2}{
\begin{tikzpicture}[scale=1,yshift=0cm,every node/.style={draw,outer sep=0pt,thick}]
\myfig{\x mm}{-\y mm}{-\r mm}{\s}
\path (-1,0) rectangle (1,-10);
\end{tikzpicture}
}
\end{document}
\end{filecontents*}
%create the beam.pdf.
\immediate\write18{pdflatex beam}
% convert to GIF animation
\immediate\write18{convert -delay 10 -loop 0 -density 200 -alpha remove beam.pdf beam.gif}

\begin{document}
 This is empty
\end{document}

在此处输入图片描述

答案4

只是为了好玩：线圈由于其自身重量而拉伸，即下部拉伸得比上部少。大部分代码来自这个答案中，拉伸效果是一个简单的非线性变换，其贡献代码只有几行。

\documentclass[tikz,border=3mm]{standalone}
\usetikzlibrary{decorations.pathmorphing,patterns}
\usepgfmodule{nonlineartransformations}
\makeatletter
\def\nltrafo{%
\pgfmathsetmacro{\myy}{\pgf@y+0.003*\pgf@y*\pgf@y}%
\pgf@y=\myy pt}
\newif\ifcoil@closed
\pgfkeys{%
/pgf/decoration/.cd,
3d coil color/.store in=\TDCoilColor, 
3d coil color/.initial=black,
3d coil color=black,
3d coil width/.store in=\TDCoilWidth, 
3d coil width/.initial=0.4pt,
3d coil width=0.4pt,
3d coil dist/.store in=\TDCoilDist, 
3d coil dist/.initial=0.6pt,
3d coil dist=0.6pt,
3d coil opacity/.store in=\TDCoilOpacity, 
3d coil opacity/.initial=1,
3d coil opacity=1,
3d coil closed/.code=\coil@closedtrue
}

 % https://tex.stackexchange.com/a/219088/121799
\tikzset{get stroke color/.code={%
    \expandafter\global% Jump over, now we have \global
    \expandafter\let% Jump over now we have \global\let
    \expandafter\pgfsavedstrokecolor% Jump we have \global\let\pgf...
    \csname\string\color@pgfstrokecolor\endcsname% Finally expand this and put it at the end 
    },                                           % \global\let\pgf...{} in expanded form 
    restore stroke color/.code={\pgf@setstrokecolor#1},
}
\def\pgfpoint@onthreedcoil#1#2#3{%
  \pgf@x=#1\pgfdecorationsegmentamplitude%
  \pgf@x=\pgfdecorationsegmentaspect\pgf@x%
  \pgf@y=#2\pgfdecorationsegmentamplitude%
  \pgf@xa=0.083333333333\pgfdecorationsegmentlength%
  \advance\pgf@x by#3\pgf@xa%
  \advance\pgf@x by-\generaloffset pt%
}

% coil decoration
%
% Parameters: \pgfdecorationsegmentamplitude, \pgfdecorationsegmentlength,

\pgfdeclaredecoration{3d complete coil}{initial}
{ 
    \state{initial}[width=0.5*\pgfdecorationsegmentlength,
    next state=coil, persistent precomputation={% from https://tex.stackexchange.com/a/25689/121799
    \pgfmathsetmacro\matchinglength{\pgfdecoratedinputsegmentlength / int(\pgfdecoratedinputsegmentlength/\pgfdecorationsegmentlength)}
    \setlength{\pgfdecorationsegmentlength}{\matchinglength pt}
    \tikzset{get stroke color}
    \pgfmathsetmacro{\generaloffset}{\pgfdecorationsegmentlength}
    \pgfmathsetmacro{\initialoffset}{1.5*\pgfdecorationsegmentlength}
    \pgfmathsetmacro{\auxoffset}{2.5*\pgfdecorationsegmentlength}
  }]    { 
    % line in the back
    %
    \pgfsetstrokecolor{\TDCoilColor}
    \pgfsetfillcolor{\TDCoilColor}
    \pgfsetstrokeopacity{\TDCoilOpacity}
    \pgfsetlinewidth{\TDCoilWidth}     
    \ifcoil@closed
     \begingroup
      \def\generaloffset{\auxoffset}
      \pgfpathmoveto{\pgfpoint@onthreedcoil{1    }{ 1    }{15}}
      \pgfpathcurveto
      {\pgfpoint@onthreedcoil{1.555}{ 1    }{16}}
      {\pgfpoint@onthreedcoil{2    }{ 0.555}{17}}
      {\pgfpoint@onthreedcoil{2    }{ 0    }{18}}
      \pgfcoordinate{TD@coilast}{\pgfpoint@onthreedcoil{2    }{ 0    }{18}}
      \pgfcoordinate{TD@coilfirst}{\pgfpoint@onthreedcoil{1    }{ 1    }{15}}
      \pgfusepath{stroke} 
      \pgfsetstrokecolor{\TDCoilColor}
     \endgroup
    \fi
    \begingroup %
    \def\generaloffset{\initialoffset}
    \ifcoil@closed
     \pgfpathmoveto{\pgfpointanchor{TD@coilast}{center}}
    \else
     \pgfpathmoveto{\pgfpointorigin}
    \fi
    \pgfpathcurveto
    {\pgfpoint@onthreedcoil{2    }{-0.555}{7}}
    {\pgfpoint@onthreedcoil{1.555}{-1    }{8}}
    {\pgfpoint@onthreedcoil{1    }{-1    }{9}}
    \pgfusepath{stroke} 
    %
    % white background for front thick part
    %
    \pgfsetstrokeopacity{1}
    \pgfsetstrokecolor{white}
    \pgfsetfillcolor{white}
    \pgfsetlinewidth{1.5*\TDCoilWidth+1.5*\TDCoilDist}
    \pgfpathmoveto{\pgfpoint@onthreedcoil{1    }{-1    }{9}}
    % draw forward
    \pgfpathcurveto
    {\pgfpoint@onthreedcoil{0.445}{-1    }{10}}
    {\pgfpoint@onthreedcoil{0    }{-0.555}{11.25}}
    {\pgfpoint@onthreedcoil{0    }{ 0    }{12.5}}
    \pgfpathcurveto
    {\pgfpoint@onthreedcoil{0    }{ 0.555}{13.25}}
    {\pgfpoint@onthreedcoil{0.445}{ 1    }{14.25}}
    {\pgfpoint@onthreedcoil{1    }{ 1    }{15}}
    % draw the curve back
    \pgfpathcurveto
    {\pgfpoint@onthreedcoil{0.445}{ 1    }{14}}
    {\pgfpoint@onthreedcoil{0    }{ 0.555}{12.75}}
    {\pgfpoint@onthreedcoil{0    }{ 0    }{11.5}}
    \pgfpathcurveto
    {\pgfpoint@onthreedcoil{0    }{-0.555}{10.75}}
    {\pgfpoint@onthreedcoil{0.445}{-1    }{10}}
    {\pgfpoint@onthreedcoil{1    }{-1    }{9}}
    \pgfusepath{stroke,fill} 
    % 
    % draw the thick foreground path
    %
    \pgfsetstrokecolor{\TDCoilColor}
    \pgfsetfillcolor{\TDCoilColor}
    \pgfsetstrokeopacity{\TDCoilOpacity}
    \pgfpathmoveto{\pgfpoint@onthreedcoil{1    }{ 1    }{3}}
    \pgfsetlinewidth{\TDCoilWidth} 
    % forward shifted +
    \pgfpathmoveto{\pgfpoint@onthreedcoil{1    }{-1    }{9}}
    \pgfpathcurveto
    {\pgfpoint@onthreedcoil{0.445}{-1    }{10}}
    {\pgfpoint@onthreedcoil{0    }{-0.555}{11.25}}
    {\pgfpoint@onthreedcoil{0    }{ 0    }{12.5}}
    \pgfpathcurveto
    {\pgfpoint@onthreedcoil{0    }{ 0.555}{13.25}}
    {\pgfpoint@onthreedcoil{0.445}{ 1    }{14.25}}
    {\pgfpoint@onthreedcoil{1    }{ 1    }{15}}
    % draw the curve back shfted -
    \pgfpathcurveto
    {\pgfpoint@onthreedcoil{0.445}{ 1    }{14}}
    {\pgfpoint@onthreedcoil{0    }{ 0.555}{12.75}}
    {\pgfpoint@onthreedcoil{0    }{ 0    }{11.5}}
    \pgfpathcurveto
    {\pgfpoint@onthreedcoil{0    }{-0.555}{10.75}}
    {\pgfpoint@onthreedcoil{0.445}{-1    }{10}}
    {\pgfpoint@onthreedcoil{1    }{-1    }{9}}
    \pgfusepath{stroke,fill} 
    \pgfpathmoveto{\pgfpoint@onthreedcoil{1    }{ 1    }{15}}
    \pgfpathcurveto
    {\pgfpoint@onthreedcoil{1.555}{ 1    }{16}}
    {\pgfpoint@onthreedcoil{2    }{ 0.555}{17}}
    {\pgfpoint@onthreedcoil{2    }{ 0    }{18}}
    \pgfcoordinate{TD@coilast}{\pgfpoint@onthreedcoil{2    }{ 0    }{18}} 
    \pgfusepath{stroke}     
    \endgroup
  }
  \state{coil}[switch if less than=%
    1.9*\pgfdecorationsegmentlength  to last,
               width=+\pgfdecorationsegmentlength]
    { % line in the back
    %
    \pgfsetstrokecolor{\TDCoilColor}
    \pgfsetfillcolor{\TDCoilColor}
    \pgfsetstrokeopacity{\TDCoilOpacity}
    \pgfpathmoveto{\pgfpointanchor{TD@coilast}{center}}
    \pgfsetlinewidth{\TDCoilWidth} 
    \pgfpathcurveto
    {\pgfpoint@onthreedcoil{2    }{-0.555}{7}}
    {\pgfpoint@onthreedcoil{1.555}{-1    }{8}}
    {\pgfpoint@onthreedcoil{1    }{-1    }{9}}
    \pgfusepath{stroke} 
    %
    % white background for front thick part
    %
    \pgfsetstrokeopacity{1}
    \pgfsetstrokecolor{white}
    \pgfsetfillcolor{white}
    \pgfsetlinewidth{1.5*\TDCoilWidth+1.5*\TDCoilDist}
    \pgfpathmoveto{\pgfpoint@onthreedcoil{1    }{ 1    }{3}}
    \pgfpathmoveto{\pgfpoint@onthreedcoil{1    }{-1    }{9}}
    % draw forward
    \pgfpathcurveto
    {\pgfpoint@onthreedcoil{0.445}{-1    }{10}}
    {\pgfpoint@onthreedcoil{0    }{-0.555}{11.25}}
    {\pgfpoint@onthreedcoil{0    }{ 0    }{12.5}}
    \pgfpathcurveto
    {\pgfpoint@onthreedcoil{0    }{ 0.555}{13.25}}
    {\pgfpoint@onthreedcoil{0.445}{ 1    }{14.25}}
    {\pgfpoint@onthreedcoil{1    }{ 1    }{15}}
    % draw the curve back
    \pgfpathcurveto
    {\pgfpoint@onthreedcoil{0.445}{ 1    }{14}}
    {\pgfpoint@onthreedcoil{0    }{ 0.555}{12.75}}
    {\pgfpoint@onthreedcoil{0    }{ 0    }{11.5}}
    \pgfpathcurveto
    {\pgfpoint@onthreedcoil{0    }{-0.555}{10.75}}
    {\pgfpoint@onthreedcoil{0.445}{-1    }{10}}
    {\pgfpoint@onthreedcoil{1    }{-1    }{9}}
    \pgfusepath{stroke,fill} 
    % 
    % draw the thick foreground path
    %
    \pgfsetstrokecolor{\TDCoilColor}
    \pgfsetfillcolor{\TDCoilColor}
    \pgfsetstrokeopacity{\TDCoilOpacity}
    \pgfpathmoveto{\pgfpoint@onthreedcoil{1    }{ 1    }{3}}
    \pgfsetlinewidth{\TDCoilWidth} 
    % forward shifted +
    \pgfpathmoveto{\pgfpoint@onthreedcoil{1    }{-1    }{9}}
    \pgfpathcurveto
    {\pgfpoint@onthreedcoil{0.445}{-1    }{10}}
    {\pgfpoint@onthreedcoil{0    }{-0.555}{11.25}}
    {\pgfpoint@onthreedcoil{0    }{ 0    }{12.5}}
    \pgfpathcurveto
    {\pgfpoint@onthreedcoil{0    }{ 0.555}{13.25}}
    {\pgfpoint@onthreedcoil{0.445}{ 1    }{14.25}}
    {\pgfpoint@onthreedcoil{1    }{ 1    }{15}}
    % draw the curve back shfted -
    \pgfpathcurveto
    {\pgfpoint@onthreedcoil{0.445}{ 1    }{14}}
    {\pgfpoint@onthreedcoil{0    }{ 0.555}{12.75}}
    {\pgfpoint@onthreedcoil{0    }{ 0    }{11.5}}
    \pgfpathcurveto
    {\pgfpoint@onthreedcoil{0    }{-0.555}{10.75}}
    {\pgfpoint@onthreedcoil{0.445}{-1    }{10}}
    {\pgfpoint@onthreedcoil{1    }{-1    }{9}}
    \pgfusepath{stroke,fill} 
    \pgfpathmoveto{\pgfpoint@onthreedcoil{1    }{ 1    }{15}}
    \pgfpathcurveto
    {\pgfpoint@onthreedcoil{1.555}{ 1    }{16}}
    {\pgfpoint@onthreedcoil{2    }{ 0.555}{17}}
    {\pgfpoint@onthreedcoil{2    }{ 0    }{18}}
    \pgfusepath{stroke} 
    \pgfcoordinate{TD@coilast}{\pgfpoint@onthreedcoil{2    }{ 0    }{18}} 
  }
  \state{last}[next state=final]
    { % line in the back
    %
    \pgfsetstrokecolor{\TDCoilColor}
    \pgfsetfillcolor{\TDCoilColor}
    \pgfsetstrokeopacity{\TDCoilOpacity}
    \pgfpathmoveto{\pgfpointanchor{TD@coilast}{center}}
    \pgfsetlinewidth{\TDCoilWidth} 
    \pgfpathcurveto
    {\pgfpoint@onthreedcoil{2    }{-0.555}{7}}
    {\pgfpoint@onthreedcoil{1.555}{-1    }{8}}
    {\pgfpoint@onthreedcoil{1    }{-1    }{9}}
    \pgfusepath{stroke} 
    % 
    % draw the thick foreground path
    %
    \ifcoil@closed %\pgfpointanchor{TD@coilfirst}{center}
     %
     % white background for front thick part
     %
     \pgfsetstrokeopacity{1}
     \pgfsetstrokecolor{white}
     \pgfsetfillcolor{white}
     \pgfsetlinewidth{1.5*\TDCoilWidth+1.5*\TDCoilDist}
     \pgfpathmoveto{\pgfpoint@onthreedcoil{1    }{ 1    }{3}}
     \pgfpathmoveto{\pgfpoint@onthreedcoil{1    }{-1    }{9}}
     % draw forward
     \pgfpathcurveto
     {\pgfpoint@onthreedcoil{0.445}{-1    }{10}}
     {\pgfpoint@onthreedcoil{0    }{-0.555}{11.25}}
     {\pgfpoint@onthreedcoil{0    }{ 0    }{12.5}}
     \pgfpathcurveto
     {\pgfpoint@onthreedcoil{0    }{ 0.555}{13.25}}
     {\pgfpoint@onthreedcoil{0.445}{ 1    }{14.25}}
     {\pgfpointanchor{TD@coilfirst}{center}}
     % draw the curve back
     \pgfpathcurveto
     {\pgfpoint@onthreedcoil{0.445}{ 1    }{14}}
     {\pgfpoint@onthreedcoil{0    }{ 0.555}{12.75}}
     {\pgfpoint@onthreedcoil{0    }{ 0    }{11.5}}
     \pgfpathcurveto
     {\pgfpoint@onthreedcoil{0    }{-0.555}{10.75}}
     {\pgfpoint@onthreedcoil{0.445}{-1    }{10}}
     {\pgfpoint@onthreedcoil{1    }{-1    }{9}}
     \pgfusepath{stroke,fill} 
     \pgfsetstrokecolor{\TDCoilColor}
     \pgfsetfillcolor{\TDCoilColor}
     \pgfsetstrokeopacity{\TDCoilOpacity}
     \pgfpathmoveto{\pgfpoint@onthreedcoil{1    }{ 1    }{3}}
     \pgfsetlinewidth{\TDCoilWidth} 
     % forward shifted +
     \pgfpathmoveto{\pgfpoint@onthreedcoil{1    }{-1    }{9}}
     \pgfpathcurveto
     {\pgfpoint@onthreedcoil{0.445}{-1    }{10}}
     {\pgfpoint@onthreedcoil{0    }{-0.555}{11.25}}
     {\pgfpoint@onthreedcoil{0    }{ 0    }{12.5}}
     \pgfpathcurveto
     {\pgfpoint@onthreedcoil{0    }{ 0.555}{13.25}}
     {\pgfpoint@onthreedcoil{0.445}{ 1    }{14.25}}
     {\pgfpointanchor{TD@coilfirst}{center}}
     % draw the curve back shifted 
     \pgfpathcurveto
     {\pgfpoint@onthreedcoil{0.445}{ 1    }{14}}
     {\pgfpoint@onthreedcoil{0    }{ 0.555}{12.75}}
     {\pgfpoint@onthreedcoil{0    }{ 0    }{11.5}}
     \pgfpathcurveto
     {\pgfpoint@onthreedcoil{0    }{-0.555}{10.75}}
     {\pgfpoint@onthreedcoil{0.445}{-1    }{10}}
     {\pgfpoint@onthreedcoil{1    }{-1    }{9}}
     \pgfusepath{stroke,fill} 
    \else
     %
     % white background for front thick part
     %
     \pgfsetstrokeopacity{1}
     \pgfsetstrokecolor{white}
     \pgfsetfillcolor{white}
     \pgfsetlinewidth{1.5*\TDCoilWidth+1.5*\TDCoilDist}
     \pgfpathmoveto{\pgfpoint@onthreedcoil{1    }{ 1    }{3}}
     \pgfpathmoveto{\pgfpoint@onthreedcoil{1    }{-1    }{9}}
     % draw forward
     \pgfpathcurveto
     {\pgfpoint@onthreedcoil{0.445}{-1    }{10}}
     {\pgfpoint@onthreedcoil{0    }{-0.555}{11.25}}
     {\pgfpoint@onthreedcoil{0    }{ 0    }{12.5}}
     \pgfpathcurveto
     {\pgfpoint@onthreedcoil{0    }{ 0.555}{13.25}}
     {\pgfpoint@onthreedcoil{0.445}{ 1    }{14.25}}
     {\pgfpoint@onthreedcoil{1    }{ 1    }{15}}
     % draw the curve back
     \pgfpathcurveto
     {\pgfpoint@onthreedcoil{0.445}{ 1    }{14}}
     {\pgfpoint@onthreedcoil{0    }{ 0.555}{12.75}}
     {\pgfpoint@onthreedcoil{0    }{ 0    }{11.5}}
     \pgfpathcurveto
     {\pgfpoint@onthreedcoil{0    }{-0.555}{10.75}}
     {\pgfpoint@onthreedcoil{0.445}{-1    }{10}}
     {\pgfpoint@onthreedcoil{1    }{-1    }{9}}
     \pgfusepath{stroke,fill} 
     \pgfsetstrokecolor{\TDCoilColor}
     \pgfsetfillcolor{\TDCoilColor}
     \pgfsetstrokeopacity{\TDCoilOpacity}
     \pgfpathmoveto{\pgfpoint@onthreedcoil{1    }{ 1    }{3}}
     \pgfsetlinewidth{\TDCoilWidth} 
     % forward shifted +
     \pgfpathmoveto{\pgfpoint@onthreedcoil{1    }{-1    }{9}}
     \pgfpathcurveto
     {\pgfpoint@onthreedcoil{0.445}{-1    }{10}}
     {\pgfpoint@onthreedcoil{0    }{-0.555}{11.25}}
     {\pgfpoint@onthreedcoil{0    }{ 0    }{12.5}}
     \pgfpathcurveto
     {\pgfpoint@onthreedcoil{0    }{ 0.555}{13.25}}
     {\pgfpoint@onthreedcoil{0.445}{ 1    }{14.25}}
     {\pgfpoint@onthreedcoil{1    }{ 1    }{15}}
     % draw the curve back shifted 
     \pgfpathcurveto
     {\pgfpoint@onthreedcoil{0.445}{ 1    }{14}}
     {\pgfpoint@onthreedcoil{0    }{ 0.555}{12.75}}
     {\pgfpoint@onthreedcoil{0    }{ 0    }{11.5}}
     \pgfpathcurveto
     {\pgfpoint@onthreedcoil{0    }{-0.555}{10.75}}
     {\pgfpoint@onthreedcoil{0.445}{-1    }{10}}
     {\pgfpoint@onthreedcoil{1    }{-1    }{9}}
     \pgfusepath{stroke,fill} 
    \fi
    \pgfpathmoveto{\pgfpoint@onthreedcoil{1    }{ 1    }{15}}
    \ifcoil@closed %TD@coilfirst
    \else
     \pgfpathcurveto
     {\pgfpoint@onthreedcoil{1.555}{ 1    }{16}}
     {\pgfpoint@onthreedcoil{2    }{ 0.555}{17}}
     {\pgfpoint@onthreedcoil{2    }{ 0    }{18}}
    \fi
    \pgfusepath{stroke} 
    %\pgfcoordinate{TD@coilast}{\pgfpoint@onthreedcoil{2    }{ 0    }{18}} 
  }
  \state{final}
  {
    \pgfpathmoveto{\pgfpointdecoratedpathlast}
    \tikzset{restore stroke color/.expand once=\pgfsavedstrokecolor}
  }
}
\makeatother

\begin{document}
\begin{tikzpicture}
 \begin{scope}[transform shape nonlinear=true,local bounding box=coil]
  \pgftransformnonlinear{\nltrafo}
  \draw[decoration={3d coil color=blue,aspect=0.2, segment length=1mm,
  amplitude=3mm,3d complete coil}, decorate] (0,0) -- (0,6);
 \end{scope}  
 \draw[blue] ([yshift=-4.5pt]coil.north) -- ++(0,0.5) coordinate(Y);
 \path[pattern=north west lines] (-2,0|-Y) rectangle ++(4,0.5);
 \draw (-2,0|-Y) -- ++(4,0);
\end{tikzpicture}
\end{document}

在此处输入图片描述

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