## 5 Case Study
### Experimental Setup
\begin{table}
\begin{tabular}{c c c c c} \hline \hline
**Close Loop** & **Hinge** & **Components** & \
\begin{tabular}{c} **Nominal** \\ **Diameter (mm)** \\ \end{tabular} & **Fit Type** &
\begin{tabular}{c} **Clearance Range** \\ **(mm)** \\ \end{tabular} \\ \hline \multirow{6}{*}{d} & \multirow{2}{*}{d} & \(\mathit{dg}\) rod & \(12\) & Knuckle bearing fit & \(+0.032\) \\ \cline{2-5}  & & \(\mathit{d}\) shaft & \(12\) & Knuckle bearing fit & \(+0.008\) \\ \cline{2-5}  & & \(\mathit{d}\)h rod & \(12\) & Knuckle bearing fit & \(+0.032\) \\ \cline{2-5}  & & \(\mathit{g}\)d rod & \(10\) & \(\mathit{H}\)ole–shaft clearance fit & \(+0.029\) \\ \cline{2-5}  & & \(\mathit{g}\) shaft & \(10\) & \(\mathit{H}\)ole–shaft clearance fit & \(+0.005\) \\ \cline{2-5}  & & \(\mathit{g}\)f rod & \(10\) & \(\mathit{H}\)ole–shaft clearance fit & \(+0.029\) \\ \cline{2-5}  & & \(\mathit{g}\)f rod & \(10\) & \(\mathit{H}\)ole–shaft clearance fit & \(+0.005\) \\ \cline{2-5}  & & \(\mathit{f}\)f rod & \(10\) & \(\mathit{H}\)ole–shaft clearance fit & \(+0.029\) \\ \cline{2-5}  & & \(\mathit{f}\)f rod & \(10\) & \(\mathit{H}\)ole–shaft clearance fit & \(+0.005\) \\ \cline{2-5}  & & \(\mathit{j}\)h rod & \(12\) & Knuckle bearing fit & \(+0.032\) \\ \cline{2-5}  & & \(\mathit{j}\) rod & \(12\) & \(\mathit{H}\)ole–shaft clearance fit & \(+0.008\) \\ \cline{2-5}  & & \(\mathit{j}\)h rod & \(10\) & \(\mathit{H}\)ole–shaft clearance fit & \(+0.029\) \\ \cline{2-5}  & & \(\mathit{j}\)h rod & \(10\) & \(\mathit{H}\)ole–shaft clearance fit & \(+0.005\) \\ \cline{2-5}  & & \(\mathit{h}\)h shaft & \(10\) & \(\mathit{H}\)ole–shaft clearance fit & \(+0.029\) \\ \cline{2-5}  & & \(\mathit{h}\)j rod & \(10\) & \(\mathit{H}\)ole–shaft clearance fit & \(+0.029\) \\ \hline \hline \end{tabular}
\end{table} 
Table 4: \(\mathit{Cont}\). \begin{table}
\begin{tabular}{c c c c c c} \hline \hline \multirow{2}{*}{**Hinge**} & \multicolumn{4}{c}{**Assembly Cost Parameters**} \\ \cline{2-5}  & \(\mathbf{a_{0}}\) & \(\mathbf{a_{1}}\) & \(\mathbf{a_{2}}\) & \(\mathbf{a_{3}}\) & \(\mathbf{a_{4}}\) & \(\mathbf{a_{5}}\) \\ \hline a & \(3.3452\times 10^{5}\) & \(-1.4498\times 10^{6}\) & \(3.1431\times 10^{6}\) & \(-3.3891\times 10^{6}\) & \(1.7069\times 10^{6}\) & \(-3.1847\times 10^{5}\) \\ b & \(8.6004\times 10^{5}\) & \(-5.2956\times 10^{7}\) & \(1.3240\times 10^{6}\) & \(-1.5006\times 10^{6}\) & \(7.6952\times 10^{6}\) & \(-1.4459\times 10^{11}\) \\ c & \(3.5005\times 10^{6}\) & \(-9.3720\times 10^{7}\) & \(1.1465\times 10^{6}\) & \(-5.2197\times 10^{6}\) & \(-7.0965\times 10^{6}\) & \(6.9301\times 10^{9}\) \\ d & \(5.7258\times 10^{5}\) & \(-2.7797\times 10^{7}\) & \(8.0764\times 10^{8}\) & \(-1.2285\times 10^{4}\) & \(8.5116\times 10^{4}\) & \(-2.0389\times 10^{11}\) \\ e & \(5.3239\times 10^{5}\) & \(-2.79438\times 10^{6}\) & \(6.6941\times 10^{6}\) & \(-7.5263\times 10^{6}\) & \(3.8618\times 10^{6}\) & \(-7.2724\times 10^{5}\) \\ f & \(4.6480\times 10^{5}\) & \(-1.9256\times 10^{7}\) & \(4.7950\times 10^{6}\) & \(-6.4892\times 10^{6}\) & \(4.2035\times 10^{10}\) & \(-9.6909\times 10^{10}\) \\ g & \(2.1534\times 10^{5}\) & \(-1.2744\times 10^{6}\) & \(4.1364\times 10^{6}\) & \(-6.5950\times 10^{6}\) & \(4.8727\times 10^{6}\) & \(-1.3144\times 10^{6}\) \\ h & \(7.0081\times 10^{5}\) & \(-4.8295\times 10^{7}\) & \(1.7002\times 10^{6}\) & \(-2.8377\times 10^{10}\) & \(2.0653\times 10^{11}\) & \(-5.0759\times 10^{11}\) \\ j & \(4.2933\times 10^{5}\) & \(-2.1676\times 10^{7}\) & \(6.9152\times 10^{6}\) & \(-1.11127\times 10^{10}\) & \(7.9729\times 10^{10}\) & \(-1.9453\times 10^{11}\) \\ \hline \hline \end{tabular}
\end{table} 
Table 5: LSDM assembly cost parameters.