## 5 Conclusions
\begin{array}{c}\frac{nB_{12}(x)}{R}\bigg{(}\frac{\mathrm{d}U(x)}{\mathrm{d}x} \bigg{)}+\frac{nU(x)}{R}\bigg{(}\frac{\mathrm{d}B_{66}(x)}{\mathrm{d}x}\bigg{)} +\frac{nB_{66}(x)}{R}\bigg{(}\frac{\mathrm{d}U(x)}{\mathrm{d}x}\bigg{)}\\ -\frac{\varepsilon nD_{12}(x)}{R}\bigg{(}\frac{\mathrm{d}U(x)}{\mathrm{d}x} \bigg{)}-\frac{\varepsilon nU(x)}{R}\bigg{(}\frac{\mathrm{d}D_{66}(x)}{\mathrm{ d}x}\bigg{)}-\frac{\varepsilon nD_{66}(x)}{R}\bigg{(}\frac{\mathrm{d}U(x)}{ \mathrm{d}x}\bigg{)}\\ +\bigg{(}\frac{4B_{66}(x)}{\mathrm{d}x}\bigg{)}\bigg{(}\frac{\mathrm{d}V(x)}{ \mathrm{d}x}\bigg{)}+B_{66}\left(x\right)\bigg{(}\frac{\mathrm{d}^{2}V(x)}{ \mathrm{d}x^{2}}\bigg{)}-\frac{n^{2}B_{11}(x)V(x)}{R^{2}}\\ +\frac{\varepsilon n^{2}D_{11}(x)V(x)}{R^{2}}-\bigg{(}\frac{\mathrm{d}D_{66}(x )}{\mathrm{d}x}\bigg{)}\bigg{(}\frac{\mathrm{d}V(x)}{\mathrm{d}x^{2}}\bigg{)} -\overline{c}D_{66}(x)\bigg{(}\frac{\mathrm{d}^{2}V(x)}{\mathrm{d}x^{2}}\bigg{)} \\ +\frac{nB_{11}(x)W(x)}{R^{2}}-\frac{nA_{66}(x)W(x)}{R}-\frac{\varepsilon nF_{12 }(x)}{R}\bigg{(}\frac{\mathrm{d}^{2}W(x)}{\mathrm{d}x^{2}}\bigg{)}-\frac{ \varepsilon nF_{66}(x)W(x)}{R}\\ -\frac{2\varepsilon nF_{66}(x)}{R}\bigg{(}\frac{\mathrm{d}^{2}W(x)}{\mathrm{d} x^{2}}\bigg{)}+\frac{\varepsilon n^{3}F_{11}(x)W(x)}{R^{3}}-\frac{\varepsilon^{2}nG_{11}(x)W(x)}{R^{3}} \\ -\frac{2\varepsilon nF_{12}(x)}{R}\bigg{(}\frac{\mathrm{d}F_{66}(x)}{\mathrm{ d}x}\bigg{)}-\frac{2\varepsilon nF_{66}(x)}{R}\bigg{(}\frac{\mathrm{d}\[PERSON]_{x}(x)}{ \mathrm{d}x^{2}}\bigg{)}\\ +\frac{\varepsilon^{2}nG_{12}(x)}{R}\bigg{(}\frac{\mathrm{d}\[PERSON]_{x}(x)}{ \mathrm{d}x}\bigg{)}-\frac{2\varepsilon nF_{66}(x)}{R}\bigg{(}\frac{\mathrm{d }\[PERSON]_{x}(x)}{\mathrm{d}x}\bigg{)}\\ +\bigg{(}\frac{\mathrm{d}C_{66}(x)}{\mathrm{d}x}\bigg{)}\bigg{(}\frac{\mathrm{ d}\[PERSON]_{y}(x)}{\mathrm{d}x}\bigg{)}+C_{66}(x)\bigg{(}\frac{\mathrm{d}^{2}\[PERSON]_{y}(x)}{ \mathrm{d}x^{2}}\bigg{)}-A_{66}(x)\[PERSON]_{y}(x)-\frac{n^{2}C_{11}(x)\[PERSON]_{y}(x)}{ R^{2}}\\ +\frac{2\varepsilon n^{2}F_{11}(x)\[PERSON]_{y}(x)}{R^{2}}-\frac{\varepsilon^{2}n^{2 }G_{11}(x)\[PERSON]_{y}(x)}{R^{2}}-2\overline{c}\bigg{(}\frac{\mathrm{d}F_{66}(x)} {\mathrm{d}x}\bigg{)}\bigg{(}\frac{\mathrm{d}\[PERSON]_{y}(x)}{\mathrm{d}x}\bigg{)} \\ -2\overline{c}F_{66}\left(x\right)\bigg{(}\frac{\mathrm{d}^{2}\[PERSON]_{y}(x)}{ \mathrm{d}x^{2}}\bigg{)}+6\overline{c}C_{66}(x)\[PERSON]_{y}(x)-9\overline{c}^{2}F _{66}(x)\[PERSON]_{y}(x)\\ +\bigg{(}\frac{\mathrm{d}C_{66}(x)}{\mathrm{d}x}\bigg{)}\bigg{(}\frac{\mathrm{ d}\[PERSON]_{y}(x)}{\mathrm{d}x}\bigg{)}+\overline{c}^{2}G_{66}(x)\bigg{(}\frac{ \mathrm{d}^{2}\[PERSON]_{y}(x)}{\mathrm{d}x^{2}}\bigg{)}\\ +\bigg{(}\frac{\mathrm{d}C_{66}(x)}{\mathrm{d}x}\bigg{)}\bigg{(}\frac{\mathrm{ d}\[PERSON]_{y}(x)}{\mathrm{d}x}\bigg{)}+C_{66}(x)\bigg{(}\frac{\mathrm{d}^{2}\[PERSON]_{y}(x)}{ \mathrm{d}x^{2}}\bigg{)}-A_{66}(x)\[PERSON]_{y}(x)-\frac{n^{2}C_{11}(x)\[PERSON]_{y}(x)}{ R^{2}}\\ +\frac{2\varepsilon n^{2}F_{11}(x)\[PERSON]_{y}(x)}{R^{2}}-\frac{\varepsilon^{2}n^{2 }G_{11}(x)\[PERSON]_{y}(x)}{R^{2}}-2\overline{c}\bigg{(}\frac{\mathrm{d}F_{66}(x)} {\mathrm{d}x}\bigg{)}\bigg{(}\frac{\mathrm{d}\[PERSON]_{y}(x)}{\mathrm{d}x}\bigg{)} \\ -2\overline{c}F_{66}\left(x\right)\bigg{(}\frac{\mathrm{d}^{2}\[PERSON]_{y}(x)}{ \mathrm{d}x^{2}}\bigg{)}+6\overline{c}C_{66}(x)\[PERSON]_{y}(x)-9\overline{c}^{2}F _{66}(x)\[PERSON]_{y}(x)\\ +\overline{c}^{2}\bigg{(}\frac{\mathrm{d}C_{66}(x)}{\mathrm{d}x}\bigg{)}\bigg{(} \frac{\mathrm{d}\[PERSON]_{y}(x)}{\mathrm{d}x}\bigg{)}+\overline{c}^{2}G_{66}(x) \bigg{(}\frac{\mathrm{d}^{2}\[PERSON]_{y}(x)}{\mathrm{d}x^{2}}\bigg{)}\\ =\frac{1}{\[PERSON]_{y}(t)}\bigg{(}\big{(}I_{0}(x)-\overline{c}I_{3}(x)\big{)}V(x) \frac{d^{2}\overline{V}(t)}{dt^{2}}+\big{(}I_{2}(x)-2\overline{c}I_{4}(x)+ \overline{c}^{2}I_{6}(x)\big{)}\[PERSON]_{y}(x)\frac{d^{2}\overline{\[PERSON]}_{y}(t)}{dt^ {2}}\\ -\overline{c}\big{(}I_{4}(x)-\overline{c}I_{6}(x)\big{)}\frac{n}{R}\frac{d^{2} \overline{W}(t)}{dt^{2}}\bigg{)},\end{array}  \tag{10}\]  
where  
\[