30.6.4. Bushing Connector

Figure 30.103 Bushing Connector property page [Bushing page]

The bushing connector generates the following force and torque applied to the action marker:

\(\begin{aligned} & \left[ \begin{matrix} {{F}_{ax}} \\ {{F}_{ay}} \\ {{F}_{az}} \\ {{T}_{ax}} \\ {{T}_{ay}} \\ {{T}_{az}} \\ \end{matrix} \right]=-\left[ \begin{matrix} {{K}_{11}} & 0 & 0 & 0 & 0 & 0 \\ 0 & {{K}_{22}} & 0 & 0 & 0 & 0 \\ 0 & 0 & {{K}_{33}} & 0 & 0 & 0 \\ 0 & 0 & 0 & {{K}_{44}} & 0 & 0 \\ 0 & 0 & 0 & 0 & {{K}_{55}} & 0 \\ 0 & 0 & 0 & 0 & 0 & {{K}_{66}} \\ \end{matrix} \right]\left[ \begin{matrix} {{x}^{k1}} \\ {{y}^{k2}} \\ {{z}^{k3}} \\ \theta _{ab1}^{l1} \\ \theta _{ab2}^{l2} \\ \theta _{ab3}^{l3} \\ \end{matrix} \right]-\left[ \begin{matrix} {{C}_{11}} & 0 & 0 & 0 & 0 & 0 \\ 0 & {{C}_{22}} & 0 & 0 & 0 & 0 \\ 0 & 0 & {{C}_{33}} & 0 & 0 & 0 \\ 0 & 0 & 0 & {{C}_{44}} & 0 & 0 \\ 0 & 0 & 0 & 0 & {{C}_{55}} & 0 \\ 0 & 0 & 0 & 0 & 0 & {{C}_{66}} \\ \end{matrix} \right]\left[ \begin{matrix} {{V}_{x}}^{m1} \\ {{V}_{y}}^{m2} \\ {{V}_{z}}^{m3} \\ \omega _{ab1}^{n1} \\ \omega _{ab2}^{n2} \\ \omega _{ab3}^{n3} \\ \end{matrix} \right]+\left[ \begin{matrix} {{F}_{1}} \\ {{F}_{2}} \\ {{F}_{3}} \\ {{T}_{1}} \\ {{T}_{2}} \\ {{T}_{3}} \\ \end{matrix} \right] \\ & \\ & {{F}_{b}}=-{{F}_{a}} \\ & {{T}_{b}}=-{{T}_{a}}-L\times {{F}_{a}} \\ \end{aligned}\)

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