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tocdepth and bugfix jacobi
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Luca Mazzoleni committed Jan 23, 2018
1 parent 9781668 commit f2677fd
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2 changes: 1 addition & 1 deletion Rob.tex
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Expand Up @@ -15,7 +15,7 @@
\begin{document}
\maketitle
\clearpage
\setcounter{tocdepth}{3}
\setcounter{tocdepth}{2}
\footnotesize
\tableofcontents
\thispagestyle{empty}
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12 changes: 6 additions & 6 deletions sections/Kinematik.tex
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Expand Up @@ -139,13 +139,13 @@ \subsubsection{Vorwärtskinematik}
$ J =
\begin{bmatrix}
\frac{\partial{x_{e}}}{\partial{\theta_{1}}} &
\frac{\partial{x_{e}}}{\partial{d_{2}}} &
\frac{\partial{x_{e}}}{\partial{\theta_{2}}} &
\frac{\partial{x_{e}}}{\partial{\theta_{3}}} \\
\frac{\partial{y_{e}}}{\partial{\theta_{1}}} &
\frac{\partial{y_{e}}}{\partial{d_{2}}} &
\frac{\partial{y_{e}}}{\partial{\theta_{2}}} &
\frac{\partial{y_{e}}}{\partial{\theta_{3}}} \\
\frac{\partial{\Phi_{e}}}{\partial{\theta_{1}}} &
\frac{\partial{\Phi_{e}}}{\partial{d_{2}}} &
\frac{\partial{\Phi_{e}}}{\partial{\theta_{2}}} &
\frac{\partial{\Phi_{e}}}{\partial{\theta_{3}}} \\
\end{bmatrix}
=
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\end{multicols}
\subsection{Roboterstatik}
Momente, welche an den Achsgelenken wirken:\newline
$\tau_{n}=({}^0J_n)^T \cdot {}^0F_n$ \\
$\tau_{n}=({}^0J_n)^\textbf{T} \cdot {}^0F_n$ \\
Externe Momente / Kräfte, welche am n-ten Glied wirken:\newline
${}^0F_n = \begin{bmatrix} {}^0F_{x,n} & {}^0F_{y,n} & {}^0F_{z,n} & {}^0M_{x,n}
& {}^0M_{y,n} & {}^0M_{z,n}
\end{bmatrix}^{T} $ \newline
\end{bmatrix}^{\textbf{T}} $ \newline
\paragraph{Beispiel 4} Kräfte eines zweichasigen Planarroboter\newline
Der Roboter soll mit dem globalen Kraftvektor ${}^0F$ gegen einen fixen Körper drücken.\newline
\null\hspace{0.5cm}\begin{tabular}{ll}
\textbf{Gegeben:}& Jacobi-Matrix\\
\textbf{Gesucht:}& erforderliches Antriebsmoment $\tau_1$ und $\tau_2$\\
\textbf{Vorgehen:} & $\tau_{n}=({}^0J_n)^T \cdot {}^0F_n$ \\
\textbf{Vorgehen:} & $\tau_{n}=({}^0J_n)^\textbf{T} \cdot {}^0F_n$ \\
\end{tabular}$\null \qquad\qquad
\begin{bmatrix}
\tau_{1} \\ \tau_{2} \\ \tau_{3}
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