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author
Luca Mazzoleni
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tocdepth and bugfix jacobi
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Rob.tex

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\begin{document}
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\maketitle
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\clearpage
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\setcounter{tocdepth}{3}
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\setcounter{tocdepth}{2}
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\footnotesize
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\tableofcontents
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\thispagestyle{empty}

sections/Kinematik.tex

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@@ -139,13 +139,13 @@ \subsubsection{Vorwärtskinematik}
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$ J =
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\begin{bmatrix}
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\frac{\partial{x_{e}}}{\partial{\theta_{1}}} &
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\frac{\partial{x_{e}}}{\partial{d_{2}}} &
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\frac{\partial{x_{e}}}{\partial{\theta_{2}}} &
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\frac{\partial{x_{e}}}{\partial{\theta_{3}}} \\
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\frac{\partial{y_{e}}}{\partial{\theta_{1}}} &
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\frac{\partial{y_{e}}}{\partial{d_{2}}} &
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\frac{\partial{y_{e}}}{\partial{\theta_{2}}} &
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\frac{\partial{y_{e}}}{\partial{\theta_{3}}} \\
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\frac{\partial{\Phi_{e}}}{\partial{\theta_{1}}} &
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\frac{\partial{\Phi_{e}}}{\partial{d_{2}}} &
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\frac{\partial{\Phi_{e}}}{\partial{\theta_{2}}} &
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\frac{\partial{\Phi_{e}}}{\partial{\theta_{3}}} \\
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\end{bmatrix}
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=
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\end{multicols}
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\subsection{Roboterstatik}
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Momente, welche an den Achsgelenken wirken:\newline
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$\tau_{n}=({}^0J_n)^T \cdot {}^0F_n$ \\
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$\tau_{n}=({}^0J_n)^\textbf{T} \cdot {}^0F_n$ \\
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Externe Momente / Kräfte, welche am n-ten Glied wirken:\newline
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${}^0F_n = \begin{bmatrix} {}^0F_{x,n} & {}^0F_{y,n} & {}^0F_{z,n} & {}^0M_{x,n}
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& {}^0M_{y,n} & {}^0M_{z,n}
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\end{bmatrix}^{T} $ \newline
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\end{bmatrix}^{\textbf{T}} $ \newline
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\paragraph{Beispiel 4} Kräfte eines zweichasigen Planarroboter\newline
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Der Roboter soll mit dem globalen Kraftvektor ${}^0F$ gegen einen fixen Körper drücken.\newline
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\null\hspace{0.5cm}\begin{tabular}{ll}
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\textbf{Gegeben:}& Jacobi-Matrix\\
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\textbf{Gesucht:}& erforderliches Antriebsmoment $\tau_1$ und $\tau_2$\\
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\textbf{Vorgehen:} & $\tau_{n}=({}^0J_n)^T \cdot {}^0F_n$ \\
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\textbf{Vorgehen:} & $\tau_{n}=({}^0J_n)^\textbf{T} \cdot {}^0F_n$ \\
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\end{tabular}$\null \qquad\qquad
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\begin{bmatrix}
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\tau_{1} \\ \tau_{2} \\ \tau_{3}

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