% Kinematic bicycle model and geometric parameters of the mining truck. % Drawn to scale in metres with L_v = 12, B_v = 3, L_w = 6.5, rear overhang 1.5, % steering at psi_max = arctan(L_w / R_min) so that the ICR sits at R_min = 12 m. \documentclass[border=1pt]{standalone} \input{figstyle} \begin{document} \begin{tikzpicture}[scale=0.53] % ---------- global frame ------------------------------------------------ \draw[->, thin@] (-4.8,-2.8) -- (-2.6,-2.8) node[ann, right] {$x$}; \draw[->, thin@] (-4.8,-2.8) -- (-4.8,-0.6) node[ann, above] {$y$}; % horizontal reference through the rear-axle centre, for the heading angle \draw[thin@, sitec, dash pattern=on 1.6pt off 1.2pt] (0,0) -- (5.6,0); \draw[thin@] (4.2,0) arc[start angle=0, end angle=18, radius=4.2]; \node[ann] at (5.05,0.72) {$\theta$}; \begin{scope}[rotate=18] % ---------- vehicle body --------------------------------------------- \draw[veh, sitec, fill=fillc, fill opacity=0.6] (-1.5,-1.5) rectangle (10.5,1.5); \draw[thin@, sitec, dash pattern=on 1.4pt off 1pt] (-1.5,0) -- (11.6,0); % ---------- wheels ---------------------------------------------------- % rear wheels, aligned with the body \foreach \sy in {-1.5,1.5}{ \draw[veh, fill=sitec] (-0.9,\sy-0.22) rectangle (0.9,\sy+0.22); } % front wheels, steered by psi_max = 28 deg \foreach \sy in {-1.5,1.5}{ \begin{scope}[shift={(6.5,\sy)}, rotate=28] \draw[veh, fill=parkc, fill opacity=0.85] (-0.9,-0.22) rectangle (0.9,0.22); \end{scope} } % ---------- steering angle ------------------------------------------- \draw[thin@, parkc] (6.5,0) -- ++(28:3.1); \draw[thin@] (8.7,0) arc[start angle=0, end angle=28, radius=2.2]; \node[ann] at (9.35,0.66) {$\psi$}; \node[annt, parkc] at (9.9,1.95) {$\dot\psi$}; \draw[->, thin@, parkc] (9.05,1.55) arc[start angle=32, end angle=52, radius=3.0]; % ---------- instantaneous centre of rotation -------------------------- \draw[thin@, sitec, dash pattern=on 1.6pt off 1.2pt] (0,0) -- (0,12.2); \draw[thin@, sitec, dash pattern=on 1.6pt off 1.2pt] (6.5,0) -- (0,12.2); \fill[sitec] (0,12.2) circle (0.22); \node[ann, above] at (0,12.45) {ICR}; \node[ann, left] at (-0.25,7.0) {$R_\text{min}=1/\kappa_\text{max}$}; % ---------- rear-axle centre = path reference point ------------------- \fill[parkc] (0,0) circle (0.26); \node[ann, parkc] at (-2.35,-1.05) {$\mathbf{p}=[x,y]^\top$}; % ---------- dimensions ----------------------------------------------- % wheelbase \draw[dimline] (0,-0.75) -- (6.5,-0.75); \node[annt, fill=fillc, inner sep=0.4pt] at (3.25,-0.75) {$L_\text{w}$}; % overall length \draw[dimline] (-1.5,-2.55) -- (10.5,-2.55); \node[annt, fill=white, inner sep=0.4pt] at (4.5,-2.55) {$L_\text{v}$}; \draw[thin@] (-1.5,-1.6) -- (-1.5,-2.75); \draw[thin@] (10.5,-1.6) -- (10.5,-2.75); % width \draw[dimline] (-2.9,-1.5) -- (-2.9,1.5); \node[annt, rotate=90, fill=white, inner sep=0.4pt] at (-2.9,0) {$B_\text{v}$}; \draw[thin@] (-1.65,-1.5) -- (-3.1,-1.5); \draw[thin@] (-1.65,1.5) -- (-3.1,1.5); % swept rectangle annotation \node[annt, sitec] at (7.4,-0.95) {$\mathcal{V}(\boldsymbol{\eta})$}; \end{scope} \end{tikzpicture} \end{document}