## Appendix A
\begin{bmatrix}0&0&0&0&0&\left(\frac{h}{d}\right)\overline{P}_{m}& \left(\frac{h}{d}\right)\overline{P}_{n}\\ 0&0&0&-\left(\frac{h}{d}\right)\overline{P}_{m}&\frac{2(1+v)}{s\overline{L}}&0 \\ 0&0&0&-\left(\frac{h}{d}\right)\overline{P}_{n}&0&\frac{2(1+v)}{s\overline{L}} \\ \frac{(1+v)(1-2v)}{(1-v)s\overline{L}}&\overline{P}_{m}\left(\frac{h}{d} \right)\frac{v}{(1-v)}&\overline{P}_{n}\left(\frac{h}{d}\right)\frac{v}{(1-v) }&0&0&0\\ -\overline{P}_{m}\left(\frac{h}{d}\right)\frac{v}{(1-v)}&\overline{P}^{2}_{m} \left(\frac{h}{d}\right)^{2}\frac{s\overline{L}}{(1-v)}-\overline{P}^{2}_{n} \left(\frac{h}{d}\right)^{2}\frac{s\overline{L}}{2(1+v)}&\overline{P}_{m} \overline{P}_{n}\left(\frac{h}{d}\right)\left(\frac{h}{d}\right)\frac{s \overline{L}}{2(1+v)}&0&0&0\\ -\overline{P}_{n}\left(\frac{h}{d}\right)\frac{v}{(1-v)}&\overline{P}_{m} \overline{P}_{n}\left(\frac{h}{d}\right)\left(\frac{h}{d}\right)\frac{s \overline{L}}{2(1+v)}&\overline{P}^{2}_{n}\left(\frac{h}{d}\right)^{2}\frac{s \overline{L}}{(1-v)}+\overline{P}^{2}_{m}\left(\frac{h}{d}\right)^{2}\frac{s \overline{L}}{2(1+v)}&0&0&0\end{bmatrix}  \tag{100}\]  
\[B_{f}= \begin{bmatrix}0&0&0&\frac{(1+v)a_{0}}{1-v}&\overline{P}_{m}\left(\frac {h}{d}\right)\frac{s\overline{L}(z_{s})a_{0}}{1-v}&\overline{P}_{n}\left( \frac{h}{d}\right)\frac{s\overline{L}(z_{s})a_{0}}{1-v}\end{bmatrix}  \tag{101}\]  
\[\overline{F}= \begin{bmatrix}\frac{v}{1-v}&\left(\frac{h}{d}\right)\overline{ P}_{m}\frac{s\overline{L}}{1-v^{2}}&\left(\frac{h}{d}\right)\overline{P}_{n} \frac{s\overline{L}}{1-v^{2}}&\frac{-s\overline{E}a_{0}}{1-v}\\ \frac{v}{1-v}&\left(\frac{h}{d}\right)\overline{P}_{m}\frac{s\overline{L}}{1- v^{2}}&\left(\frac{h}{d}\right)\overline{P}_{n}\frac{s\overline{L}}{1-v^{2}}& \frac{-s\overline{E}a_{0}}{1-v}\\ 0&\left(\frac{h}{d}\right)\overline{P}_{n}\frac{s\overline{L}}{2(1+v)}& \left(\frac{h}{d}\right)\overline{P}_{m}\frac{s\overline{L}}{2(1+v)}&0\end{bmatrix}  \tag{102}\]  
\[C_{p}= \begin{bmatrix}Q_{11}&Q_{12}&Q_{13}&0&0&0\\ Q_{12}&Q_{22}&Q_{23}&0&0&0\\ Q_{13}&Q_{23}&Q_{33}&0&0&0\\ 0&0&Q_{44}&0&0\\ 0&0&0&0&Q_{66}\end{bmatrix} ,\eta= \begin{bmatrix}\eta_{1}&0&0\\ 0&\eta_{2}&0\\ 0&0&\eta_{3}\end{bmatrix}  \tag{103}\]  
\[\beta= \begin{bmatrix}\beta_{x}\\ \beta_{y}\\ \beta_{z}\\ 0\\ 0\end{bmatrix} = \begin{bmatrix}C_{11}&C_{12}&C_{13}&0&0&0\\ C_{12}&C_{22}&C_{23}&0&0&0\\ C_{13}&C_{23}&C_{33}&0&0&0\\ 0&0&0&C_{44}&0&0\\ 0&0&0&0&C_{55}&0\\ 0&0&0&0&0&C_{66}\end{bmatrix}\begin{bmatrix}\alpha_{x}\\ \alpha_{y}\\ \alpha_{z}\\ 0\\ 0\\ 0\end{bmatrix} ,\ P_{3}= \begin{bmatrix}0&0&p_{3}\end{bmatrix} ^{T},\]  
\[G_{p}= \begin{bmatrix}0&0&0&0&-\frac{\alpha}{\alpha\overline{L}}&-\frac{ \alpha}{\alpha\overline{L}}&0&0\\ 0&0&0&-\frac{\alpha}{\alpha\overline{L}}&\frac{1}{\alpha\overline{L}}&0&-\frac {\alpha}{\alpha\overline{L}}&\frac{1}{\alpha\overline{L}}\\ 0&0&0&-\frac{\alpha}{\alpha\overline{L}}&0&\frac{1}{\alpha\overline{L}}&0&- \frac{\alpha}{\alpha\overline{L}}&\frac{1}{\alpha\overline{L}}\\ \frac{\alpha\overline{L}}{\alpha\overline{L}}&-\frac{\alpha}{\alpha\overline{L} \overline{L}}&\frac{1}{\alpha\overline{L}}&0&0&0\\ 0&0&0&0&C_{55}&0\\ 0&0&0&0&0&C_{66}\end{bmatrix} \]  
\[G_{p}=\begin{bmatrix}0&0&0&0&-\frac{\alpha}{\alpha\overline{L}}&-\frac{ \alpha}{\alpha\overline{L}}&0&0\\ 0&0&0&-\frac{\alpha}{\alpha\overline{L}}&\frac{1}{\alpha\overline{L}}&0&0&- \frac{\alpha}{\alpha\overline{L}}&\frac{1}{\alpha\overline{L}}\\ 0&0&0&-\frac{\alpha}{\alpha\overline{L}}&0&\frac{1}{\alpha\overline{L}}&0&- \frac{\alpha}{\alpha\overline{L}}&\frac{1}{\alpha\overline{L}}\\ 0&0&0&0&-\frac{\alpha}{\alpha\overline{L}}&0&0\\ \frac{\alpha}{\alpha\overline{L}}&-\left(\frac{\alpha\overline{L}\overline{L} \overline{L}\overline{L}\overline{L}\overline{L}\overline{