Appendix
$$ K_{11} = \pi^{2} \left( {\frac{{A_{66} }}{{b^{2} }} + \frac{{A_{11} }}{{a^{2} }}} \right) + \lambda \pi^{4} \left( {\frac{1}{{a^{2} }} + \frac{1}{{b^{2} }}} \right)\left( {\frac{{A_{11} }}{{a^{2} }} + \frac{{A_{66} }}{{b^{2} }}} \right), $$
$$ K_{12} = \frac{{\pi^{2} }}{ab}(A_{66} + A_{12} ) + \frac{{\lambda \pi^{4} }}{ab}\left( {\frac{1}{{a^{2} }} + \frac{1}{{b^{2} }}} \right)(A_{12} + A_{66} ), $$
$$ K_{13} = - \frac{{\pi^{3} }}{{a^{3} }}B_{11} - \frac{{\pi^{3} }}{{ab^{2} }}\left( {2B_{66} + B_{12} } \right) - \frac{{\lambda \pi^{5} }}{a}\left( {\frac{1}{{a^{2} }} + \frac{1}{{b^{2} }}} \right)\left( {\frac{{B_{11} }}{{a^{2} }} + \frac{{B_{12} }}{{b^{2} }} + 2\frac{{B_{66} }}{{b^{2} }}} \right), $$
$$ K_{14} = \pi^{2} \left( {\frac{{H_{11} }}{{a^{2} }} + \frac{{H_{66} }}{{b^{2} }}} \right) + \lambda \pi^{4} \left( {\frac{1}{{a^{2} }} + \frac{1}{{b^{2} }}} \right)\left( {\frac{{H_{11} }}{{a^{2} }} + \frac{{H_{66} }}{{b^{2} }}} \right), $$
$$ K_{15} = \frac{{\pi^{2} }}{ab}\left( {H_{12} + H_{66} } \right) + \frac{{\lambda \pi^{4} }}{ab}\left( {\frac{1}{{a^{2} }} + \frac{1}{{b^{2} }}} \right)\left( {H_{12} + H_{66} } \right), $$
$$ K_{16} = \left( {\frac{\pi }{a} + \frac{{\lambda \pi^{3} }}{{ab^{2} }} + \frac{{\lambda \pi^{3} }}{{a^{3} }}} \right)A_{13} , $$
$$ K_{17} = \left( {\frac{\pi }{a} + \frac{{\lambda \pi^{3} }}{{ab^{2} }} + \frac{{\lambda \pi^{3} }}{{a^{3} }}} \right)E_{31} , $$
$$ K_{18} = \left( {\frac{\pi }{a} + \frac{{\lambda \pi^{3} }}{{ab^{2} }} + \frac{{\lambda \pi^{3} }}{{a^{3} }}} \right)\beta_{31} , $$
$$ K_{22} = \pi^{2} \left( {\frac{{A_{22} }}{{b^{2} }} + \frac{{A_{66} }}{{a^{2} }}} \right) + \lambda \pi^{4} \left( {\frac{1}{{a^{2} }} + \frac{1}{{b^{2} }}} \right)\left( {\frac{{A_{22} }}{{b^{2} }} + \frac{{A_{66} }}{{a^{2} }}} \right), $$
$$ K_{23} = \frac{{\pi^{3} }}{{b^{3} }}B_{22} + \frac{{\pi^{3} }}{{a^{2} b}}\left( {2B_{66} + B_{12} } \right) + \frac{{\lambda \pi^{5} }}{b}\left( {\frac{1}{{a^{2} }} + \frac{1}{{b^{2} }}} \right)\left( {\frac{{B_{22} }}{{b^{2} }} + \frac{{B_{12} }}{{a^{2} }} + 2\frac{{B_{66} }}{{a^{2} }}} \right), $$
$$ K_{24} = \frac{{\pi^{2} }}{ab}\left( {H_{12} + H_{66} } \right) + \frac{{\lambda \pi^{4} }}{ab}\left( {\frac{1}{{a^{2} }} + \frac{1}{{b^{2} }}} \right)\left( {H_{12} + H_{66} } \right), $$
$$ K_{25} = \pi^{2} \left( {\frac{{H_{22} }}{{b^{2} }} + \frac{{H_{66} }}{{a^{2} }}} \right) + \lambda \pi^{4} \left( {\frac{1}{{a^{2} }} + \frac{1}{{b^{2} }}} \right)\left( {\frac{{H_{22} }}{{b^{2} }} + \frac{{H_{66} }}{{a^{2} }}} \right), $$
$$ K_{26} = \left( {\frac{\pi }{b} + \frac{{\lambda \pi^{3} }}{{a^{2} b}} + \frac{{\lambda \pi^{3} }}{{b^{3} }}} \right)A_{13} , $$
$$ K_{27} = \left( {\frac{\pi }{b} + \frac{{\lambda \pi^{3} }}{{a^{2} b}} + \frac{{\lambda \pi^{3} }}{{b^{3} }}} \right)E_{32} , $$
$$ K_{28} = \left( {\frac{\pi }{b} + \frac{{\lambda \pi^{3} }}{{a^{2} b}} + \frac{{\lambda \pi^{3} }}{{b^{3} }}} \right)\beta_{32} , $$
$$ \begin{aligned} K_{33} & = \frac{{\lambda \pi^{6} }}{{a^{2} b^{2} }}\left\{ {\frac{{F_{11} }}{{a^{2} }} + \frac{{F_{22} }}{{b^{2} }} + \left( {\frac{1}{{a^{2} }} + \frac{1}{{b^{2} }}} \right)\left( {F_{12} + 2F_{66} } \right)} \right\} + \pi^{4} \left( {\frac{{F_{11} }}{{a^{4} }} + \frac{{F_{22} }}{{b^{4} }}} \right) + \frac{{2\pi^{4} }}{{a^{2} b^{2} }}\left( {F_{12} + 2F_{66} } \right) \\ & \quad + \lambda \pi^{6} \left( {\frac{{F_{11} }}{{a^{6} }} + \frac{{F_{22} }}{{b^{6} }}} \right) + \mu k_{G} \pi^{4} \left( {\frac{1}{{a^{2} b^{2} }} + \frac{1}{{b^{4} }} + \frac{1}{{a^{4} }}} \right) + 2k_{w} + \pi^{2} \left( {\frac{1}{{a^{2} }} + \frac{1}{{b^{2} }}} \right)\left( {k_{G} + 2\mu \pi^{2} k_{w} } \right), \\ \end{aligned} $$
$$ K_{34} = \frac{{\pi^{3} }}{{a^{3} }}L_{11} + \frac{{\pi^{3} }}{{ab^{2} }}\left( {L_{12} + 2L_{66} } \right) + \frac{{\lambda \pi^{5} }}{a}\left( {\frac{1}{{a^{2} }} + \frac{1}{{b^{2} }}} \right)\left( {\frac{{L_{11} }}{{a^{2} }} + \frac{{L_{12} }}{{b^{2} }} + \frac{{2L_{66} }}{{b^{2} }}} \right), $$
$$ K_{35} = \frac{{\pi^{3} }}{{b^{3} }}L_{22} + \frac{{\pi^{3} }}{{a^{2} b}}\left( {L_{12} + 2L_{66} } \right) + \frac{{\lambda \pi^{5} }}{b}\left( {\frac{1}{{a^{2} }} + \frac{1}{{b^{2} }}} \right)\left( {\frac{{L_{22} }}{{b^{2} }} + \frac{{L_{12} }}{{a^{2} }} + \frac{{2L_{66} }}{{a^{2} }}} \right), $$
$$ K_{36} = \pi^{4} \left( {\lambda B_{13} + \mu k_{G1} } \right)\left( {\frac{1}{{a^{2} }} + \frac{1}{{b^{2} }}} \right)^{2} + \pi^{2} \left( {\frac{1}{{a^{2} }} + \frac{1}{{b^{2} }}} \right)\left( {B_{13} + k_{G1} + \mu k_{w1} } \right), $$
$$ K_{37} = \pi^{2} \left( {1 + \frac{{\lambda \pi^{2} }}{{a^{2} }} + \frac{{\lambda \pi^{2} }}{{b^{2} }}} \right)\left( {\frac{{E_{31b} }}{{a^{2} }} + \frac{{E_{32b} }}{{b^{2} }}} \right), $$
$$ K_{38} = \pi^{2} \left( {1 + \frac{{\lambda \pi^{2} }}{{a^{2} }} + \frac{{\lambda \pi^{2} }}{{b^{2} }}} \right)\left( {\frac{{\beta_{31b} }}{{a^{2} }} + \frac{{\beta_{32b} }}{{b^{2} }}} \right), $$
$$ K_{44} = A_{55} + \pi^{2} \left( {\frac{{Q_{66} }}{{b^{2} }} + \frac{{Q_{11} }}{{a^{2} }}} \right) + \lambda \pi^{4} \left( {\frac{{Q_{11} }}{{a^{2} }} + \frac{{Q_{66} }}{{b^{2} }} + \lambda \pi^{2} A_{55} } \right)\left( {\frac{1}{{a^{2} }} + \frac{1}{{b^{2} }}} \right), $$
$$ K_{45} = \frac{{\pi^{2} }}{ab}\left( {Q_{66} + Q_{12} } \right) + \frac{{\lambda \pi^{4} }}{ab}\left( {\frac{1}{{a^{2} }} + \frac{1}{{b^{2} }}} \right)\left( {Q_{12} + Q_{66} } \right), $$
$$ K_{46} = \lambda \pi^{3} \left( {\frac{1}{{a^{2} }} + \frac{1}{{b^{2} }}} \right)\left( {\frac{{F_{13} }}{a} - \frac{{A_{55} }}{a}} \right) + \frac{\pi }{a}\left( {F_{13} - A_{55} } \right), $$
$$ K_{47} = \frac{\pi }{a}\left( {E_{15} + E_{31c} } \right) + \frac{{\lambda \pi^{3} }}{a}\left( {\frac{1}{{a^{2} }} + \frac{1}{{b^{2} }}} \right)\left( {E_{15} + E_{31c} } \right), $$
$$ K_{48} = \frac{\pi }{a}\left( {\beta_{15} + \beta_{31c} } \right) + \frac{{\lambda \pi^{3} }}{a}\left( {\frac{1}{{a^{2} }} + \frac{1}{{b^{2} }}} \right)\left( {\beta_{15} + \beta_{31c} } \right), $$
$$ K_{55} = A_{44} + \pi^{2} \left( {\frac{{Q_{66} }}{{a^{2} }} + \frac{{Q_{22} }}{{b^{2} }}} \right) + \lambda \pi^{4} \left( {\frac{1}{{a^{2} }} + \frac{1}{{b^{2} }}} \right)\left( {\frac{{Q_{66} }}{{a^{2} }} + \frac{{Q_{22} }}{{b^{2} }}} \right), $$
$$ K_{56} = \frac{{\lambda \pi^{3} }}{b}\left( {\frac{1}{{a^{2} }} + \frac{1}{{b^{2} }}} \right)\left( {A_{44} \, - F_{13} } \right) + \frac{\pi }{b}\left( {A_{44} - F_{13} } \right), $$
$$ K_{57} = - \frac{\pi }{b}\left( {E_{24} + E_{32c} } \right) - \frac{{\lambda \pi^{3} }}{b}\left( {\frac{1}{{a^{2} }} + \frac{1}{{b^{2} }}} \right)\left( {E_{24} + E_{32c} } \right), $$
$$ K_{58} = - \frac{\pi }{b}\left( {\beta_{24} + \beta_{32c} } \right) - \frac{{\lambda \pi^{3} }}{b}\left( {\frac{1}{{a^{2} }} + \frac{1}{{b^{2} }}} \right)\left( {\beta_{24} + \beta_{32c} } \right), $$
$$ \begin{aligned} K_{66} & = A_{33} + \pi^{2} \left( {\frac{{A_{55} }}{{a^{2} }} + \frac{{A_{44} }}{{b^{2} }}} \right) + \lambda \pi^{4} \left( {\frac{1}{{a^{2} }} + \frac{1}{{b^{2} }}} \right)\left( {\frac{{A_{44} }}{{b^{2} }} + \frac{{A_{55} }}{{a^{2} }}} \right) \\ & \quad + \left( {\frac{1}{{a^{2} }} + \frac{1}{{b^{2} }}} \right)\left( {\lambda \pi^{2} A_{33} - \pi^{2} k_{G2} - 2\pi^{2} \mu k_{w2} } \right) - \mu k_{G2} \pi^{4} \left( {\frac{1}{{a^{2} }} + \frac{1}{{b^{2} }}} \right)^{2} - 2k_{w2} , \\ \end{aligned} $$
$$ K_{67} = E_{33} - \pi^{2} \left( {\frac{{E_{24} }}{{b^{2} }} + \frac{{E_{15} }}{{a^{2} }}} \right) - \lambda \pi^{4} \left( {\frac{1}{{a^{2} }} + \frac{1}{{b^{2} }}} \right)\left( {\frac{{E_{24} }}{{b^{2} }} + \frac{{E_{15} }}{{a^{2} }}} \right) + \lambda \pi^{2} \left( {\frac{1}{{a^{2} }} + \frac{1}{{b^{2} }}} \right)E_{33} , $$
$$ K_{68} = \beta_{33} - \pi^{2} \left( {\frac{{\beta_{24} }}{{b^{2} }} + \frac{{\beta_{15} }}{{a^{2} }}} \right) - \lambda \pi^{4} \left( {\frac{1}{{a^{2} }} + \frac{1}{{b^{2} }}} \right)\left( {\frac{{\beta_{24} }}{{b^{2} }} + \frac{{\beta_{15} }}{{a^{2} }}} \right) + \lambda \pi^{2} \left( {\frac{1}{{a^{2} }} + \frac{1}{{b^{2} }}} \right)\beta_{33} , $$
$$ K_{77} = - X_{33} - \pi^{2} \left( {\frac{{X_{11} }}{{a^{2} }} + \frac{{X_{22} }}{{b^{2} }}} \right) - \lambda \pi^{4} \left( {\frac{1}{{a^{2} }} + \frac{1}{{b^{2} }}} \right)\left( {\frac{{X_{11} }}{{a^{2} }} + \frac{{X_{22} }}{{b^{2} }}} \right) - \lambda \pi^{2} \left( {\frac{1}{{a^{2} }} + \frac{1}{{b^{2} }}} \right)X_{33} , $$
$$ K_{78} = - Y_{33} - \pi^{2} \left( {\frac{{Y_{11} }}{{a^{2} }} + \frac{{Y_{22} }}{{b^{2} }}} \right) - \lambda \pi^{4} \left( {\frac{1}{{a^{2} }} + \frac{1}{{b^{2} }}} \right)\left( {\frac{{Y_{11} }}{{a^{2} }} + \frac{{Y_{22} }}{{b^{2} }}} \right) - \lambda \pi^{2} \left( {\frac{1}{{a^{2} }} + \frac{1}{{b^{2} }}} \right)Y_{33} , $$
$$ K_{88} = - \Theta_{33} - \pi^{2} \left( {\frac{{\Theta_{11} }}{{a^{2} }} + \frac{{\Theta_{22} }}{{b^{2} }}} \right) - \lambda \pi^{4} \left( {\frac{1}{{a^{2} }} + \frac{1}{{b^{2} }}} \right)\left( {\frac{{\Theta_{11} }}{{a^{2} }} + \frac{{\Theta_{22} }}{{b^{2} }}} \right) - \lambda \pi^{2} \left( {\frac{1}{{a^{2} }} + \frac{1}{{b^{2} }}} \right)\Theta_{33} , $$
$$ \begin{aligned} \left\{ {A_{11} ,B_{11} ,F_{11} ,H_{11} ,L_{11} ,Q_{11} } \right\} & = \int\limits_{{ - {\raise0.5ex\hbox{$\scriptstyle h$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}}}}^{{{\raise0.5ex\hbox{$\scriptstyle h$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}}}} {c_{11}^{\rm c} \left\{ {1,z,z^{2} ,f\left( z \right),zf\left( z \right),f^{2} \left( z \right)} \right\}{\text{d}}z} \\ & \quad + \int\limits_{{{\raise0.5ex\hbox{$\scriptstyle h$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}}}}^{{{\raise0.5ex\hbox{$\scriptstyle h$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}} + h_{\rm p} }} {c_{11}^{\rm p} \left\{ {1,z,z^{2} ,f\left( z \right),zf\left( z \right),f^{2} \left( z \right)} \right\}{\text{d}}z} \\ & \quad + \int\limits_{{ - {\raise0.5ex\hbox{$\scriptstyle h$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}} - h_{\rm p} }}^{{{\raise0.5ex\hbox{$\scriptstyle { - h}$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}}}} {c_{11}^{\rm p} \left\{ {1,z,z^{2} ,f\left( z \right),zf\left( z \right),f^{2} \left( z \right)} \right\}{\text{d}}z} , \\ \end{aligned} $$
$$ \begin{aligned} \left\{ {A_{22} ,B_{22} ,F_{22} ,H_{22} ,L_{22} ,Q_{22} } \right\} & = \int\limits_{{ - {\raise0.5ex\hbox{$\scriptstyle h$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}}}}^{{{\raise0.5ex\hbox{$\scriptstyle h$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}}}} {c_{22}^{\rm c} \left\{ {1,z,z^{2} ,f\left( z \right),zf\left( z \right),f^{2} \left( z \right)} \right\}{\text{d}}z} \\ & \quad + \int\limits_{{{\raise0.5ex\hbox{$\scriptstyle h$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}}}}^{{{\raise0.5ex\hbox{$\scriptstyle h$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}} + h_{\rm p} }} {c_{22}^{\rm p} \left\{ {1,z,z^{2} ,f\left( z \right),zf\left( z \right),f^{2} \left( z \right)} \right\}{\text{d}}z} \\ & \quad + \int\limits_{{ - {\raise0.5ex\hbox{$\scriptstyle h$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}} - h_{\rm p} }}^{{{\raise0.5ex\hbox{$\scriptstyle { - h}$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}}}} {c_{22}^{\rm p} \left\{ {1,z,z^{2} ,f\left( z \right),zf\left( z \right),f^{2} \left( z \right)} \right\}{\text{d}}z} , \\ \end{aligned} $$
$$ \begin{aligned} \left\{ {A_{12} ,B_{12} ,F_{12} ,H_{12} ,L_{12} ,Q_{12} } \right\} & = \int\limits_{{ - {\raise0.5ex\hbox{$\scriptstyle h$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}}}}^{{{\raise0.5ex\hbox{$\scriptstyle h$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}}}} {c_{12}^{\rm c} \left\{ {1,z,z^{2} ,f\left( z \right),zf\left( z \right),f^{2} \left( z \right)} \right\}{\text{d}}z} \\ & \quad + \int\limits_{{{\raise0.5ex\hbox{$\scriptstyle h$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}}}}^{{{\raise0.5ex\hbox{$\scriptstyle h$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}} + h_{\rm p} }} {c_{12}^{\rm p} \left\{ {1,z,z^{2} ,f\left( z \right),zf\left( z \right),f^{2} \left( z \right)} \right\}{\text{d}}z} \\ & \quad + \int\limits_{{ - {\raise0.5ex\hbox{$\scriptstyle h$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}} - h_{\rm p} }}^{{{\raise0.5ex\hbox{$\scriptstyle { - h}$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}}}} {c_{12}^{\rm p} \left\{ {1,z,z^{2} ,f\left( z \right),zf\left( z \right),f^{2} \left( z \right)} \right\}{\text{d}}z} , \\ \end{aligned} $$
$$ \begin{aligned} \left\{ {A_{13} ,B_{13} ,F_{13} } \right\} & = \int\limits_{{ - {\raise0.5ex\hbox{$\scriptstyle h$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}}}}^{{{\raise0.5ex\hbox{$\scriptstyle h$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}}}} {c_{13}^{\rm c} f^{\prime\prime}\left( z \right)\left\{ {1,z,f\left( z \right)} \right\}{\text{d}}z} \\ & \quad + \int\limits_{{{\raise0.5ex\hbox{$\scriptstyle h$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}}}}^{{{\raise0.5ex\hbox{$\scriptstyle h$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}} + h_{\rm p} }} {c_{13}^{\rm p} f^{\prime\prime}\left( z \right)\left\{ {1,z,f\left( z \right)} \right\}{\text{d}}z} \\ & \quad + \int\limits_{{ - {\raise0.5ex\hbox{$\scriptstyle h$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}} - h_{\rm p} }}^{{ - {\raise0.5ex\hbox{$\scriptstyle h$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}}}} {c_{13}^{\rm p} f^{\prime\prime}\left( z \right)\left\{ {1,z,f\left( z \right)} \right\}{\text{d}}z} , \\ \end{aligned} $$
$$ \begin{aligned} \left\{ {A_{66} ,B_{66} ,F_{66} ,H_{66} ,L_{66} ,Q_{66} } \right\} & = \int\limits_{{ - {\raise0.5ex\hbox{$\scriptstyle h$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}}}}^{{{\raise0.5ex\hbox{$\scriptstyle h$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}}}} {c_{66}^{\rm c} \left\{ {1,z,z^{2} ,f\left( z \right),zf\left( z \right),f^{2} \left( z \right)} \right\}{\text{d}}z} \\ & \quad + \int\limits_{{{\raise0.5ex\hbox{$\scriptstyle h$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}}}}^{{{\raise0.5ex\hbox{$\scriptstyle h$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}} + h_{\rm p} }} {c_{66}^{\rm p} \left\{ {1,z,z^{2} ,f\left( z \right),zf\left( z \right),f^{2} \left( z \right)} \right\}{\text{d}}z} \\ & \quad + \int\limits_{{ - {\raise0.5ex\hbox{$\scriptstyle h$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}} - h_{\rm p} }}^{{{\raise0.5ex\hbox{$\scriptstyle { - h}$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}}}} {c_{66}^{\rm p} \left\{ {1,z,z^{2} ,f\left( z \right),zf\left( z \right),f^{2} \left( z \right)} \right\}{\text{d}}z} , \\ \end{aligned} $$
$$ \begin{aligned} \left\{ {A_{33} ,A_{44} ,A_{55} } \right\} & = \int\limits_{{ - {\raise0.5ex\hbox{$\scriptstyle h$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}}}}^{{{\raise0.5ex\hbox{$\scriptstyle h$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}}}} {f^{\prime\prime}\left( z \right)^{2} \left\{ {c_{33}^{\rm c} ,c_{44}^{\rm c} ,c_{55}^{\rm c} } \right\}{\text{d}}z} \\ & \quad + \int\limits_{{ - {\raise0.5ex\hbox{$\scriptstyle h$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}}}}^{{{\raise0.5ex\hbox{$\scriptstyle h$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}} + h_{\rm p} }} {f^{\prime\prime}\left( z \right)^{2} \left\{ {c_{33}^{\rm p} ,c_{44}^{\rm p} ,c_{55}^{\rm p} } \right\}{\text{d}}z} \\ & \quad + \int\limits_{{ - {\raise0.5ex\hbox{$\scriptstyle h$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}} - h_{\rm p} }}^{{ - {\raise0.5ex\hbox{$\scriptstyle h$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}}}} {f^{\prime\prime}\left( z \right)^{2} \left\{ {c_{33}^{\rm p} ,c_{44}^{\rm p} ,c_{55}^{\rm p} } \right\}{\text{d}}z} , \\ \end{aligned} $$
$$ \mathop z\limits^{b} = z + \frac{h}{2} + \frac{{h_{\rm p} }}{2}{,}\quad \mathop z\limits^{t} = z - \frac{h}{2} - \frac{{h_{\rm p} }}{2}, $$
$$ \begin{aligned} \left\{ {E_{31} ,E_{31b} ,E_{31c} } \right\} & = \frac{\pi }{{h_{\rm p} }}\int\limits_{{{\raise0.5ex\hbox{$\scriptstyle h$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}}}}^{{{\raise0.5ex\hbox{$\scriptstyle h$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}} + h_{\rm p} }} {e_{31} \sin \left( {\frac{{\pi \mathop z\limits^{t} }}{{h_{\rm p} }}} \right)\left\{ {1,z,f\left( z \right)} \right\}{\text{d}}z} \\ & \quad + \frac{\pi }{{h_{\rm p} }}\int\limits_{{ - {\raise0.5ex\hbox{$\scriptstyle h$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}} - h_{\rm p} }}^{{ - {\raise0.5ex\hbox{$\scriptstyle h$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}}}} {e_{31} \sin \left( {\frac{{\pi \mathop z\limits^{t} }}{{h_{\rm p} }}} \right)\left\{ {1,z,f\left( z \right)} \right\}{\text{d}}z} , \\ \end{aligned} $$
$$ \begin{aligned} \left\{ {E_{32} ,E_{32b} ,E_{32c} } \right\} & = \frac{\pi }{{h_{\rm p} }}\int\limits_{{{\raise0.5ex\hbox{$\scriptstyle h$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}}}}^{{{\raise0.5ex\hbox{$\scriptstyle h$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}} + h_{\rm p} }} {e_{32} \sin \left( {\frac{{\pi \mathop z\limits^{t} }}{{h_{\rm p} }}} \right)\left\{ {1,z,f\left( z \right)} \right\}{\text{d}}z} \\ & \quad + \frac{\pi }{{h_{\rm p} }}\int\limits_{{ - {\raise0.5ex\hbox{$\scriptstyle h$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}} - h_{\rm p} }}^{{ - {\raise0.5ex\hbox{$\scriptstyle h$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}}}} {e_{32} \sin \left( {\frac{{\pi \mathop z\limits^{t} }}{{h_{\rm p} }}} \right)\left\{ {1,z,f\left( z \right)} \right\}{\text{d}}z} , \\ \end{aligned} $$
$$ \begin{aligned} \left\{ {E_{15} ,E_{24} } \right\} & = \int\limits_{{{\raise0.5ex\hbox{$\scriptstyle h$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}}}}^{{{\raise0.5ex\hbox{$\scriptstyle h$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}} + h_{\rm p} }} {f^{\prime}\left( z \right)\cos \left( {\frac{{\pi \mathop z\limits^{t} }}{{h_{\rm p} }}} \right)\left\{ {e_{15} ,e_{24} } \right\}{\text{d}}z} \\ & \quad + \int\limits_{{ - {\raise0.5ex\hbox{$\scriptstyle h$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}} - h_{\rm p} }}^{{ - {\raise0.5ex\hbox{$\scriptstyle h$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}}}} {f^{\prime}\left( z \right)\cos \left( {\frac{{\pi \mathop z\limits^{t} }}{{h_{\rm p} }}} \right)\left\{ {e_{15} ,e_{24} } \right\}{\text{d}}z} , \\ \end{aligned} $$
$$ \begin{aligned} \left\{ {\beta_{31} ,\beta_{31b} ,\beta_{31c} } \right\} & = \frac{\pi }{{h_{\rm p} }}\int\limits_{{{\raise0.5ex\hbox{$\scriptstyle h$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}}}}^{{{\raise0.5ex\hbox{$\scriptstyle h$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}} + h_{\rm p} }} {f_{31} \sin \left( {\frac{{\pi \mathop z\limits^{t} }}{{h_{\rm p} }}} \right)\left\{ {1,z,f\left( z \right)} \right\}{\text{d}}z} \\ & \quad + \frac{\pi }{{h_{\rm p} }}\int\limits_{{ - {\raise0.5ex\hbox{$\scriptstyle h$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}} - h_{\rm p} }}^{{ - {\raise0.5ex\hbox{$\scriptstyle h$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}}}} {f_{31} \sin \left( {\frac{{\pi \mathop z\limits^{t} }}{{h_{\rm p} }}} \right)\left\{ {1,z,f\left( z \right)} \right\}{\text{d}}z} , \\ \end{aligned} $$
$$ \begin{aligned} \left\{ {\beta_{32} ,\beta_{32b} ,\beta_{32c} } \right\} & = \frac{\pi }{{h_{\rm p} }}\int\limits_{{{\raise0.5ex\hbox{$\scriptstyle h$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}}}}^{{{\raise0.5ex\hbox{$\scriptstyle h$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}} + h_{\rm p} }} {f_{32} \sin \left( {\frac{{\pi \mathop z\limits^{t} }}{{h_{\rm p} }}} \right)\left\{ {1,z,f\left( z \right)} \right\}{\text{d}}z} \\ & \quad + \frac{\pi }{{h_{\rm p} }}\int\limits_{{ - {\raise0.5ex\hbox{$\scriptstyle h$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}} - h_{\rm p} }}^{{ - {\raise0.5ex\hbox{$\scriptstyle h$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}}}} {f_{32} \sin \left( {\frac{{\pi \mathop z\limits^{t} }}{{h_{\rm p} }}} \right)\left\{ {1,z,f\left( z \right)} \right\}{\text{d}}z} , \\ \end{aligned} $$
$$ \begin{aligned} \left\{ {\beta_{15} ,\beta_{24} } \right\} & = \int\limits_{{{\raise0.5ex\hbox{$\scriptstyle h$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}}}}^{{{\raise0.5ex\hbox{$\scriptstyle h$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}} + h_{\rm p} }} {f^{\prime}\left( z \right)\cos \left( {\frac{{\pi \mathop z\limits^{t} }}{{h_{\rm p} }}} \right)\left\{ {f_{15} ,f_{24} } \right\}{\text{d}}z} \\ & \quad + \int\limits_{{ - {\raise0.5ex\hbox{$\scriptstyle h$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}} - h_{\rm p} }}^{{ - {\raise0.5ex\hbox{$\scriptstyle h$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}}}} {f^{\prime}\left( z \right)\cos \left( {\frac{{\pi \mathop z\limits^{t} }}{{h_{\rm p} }}} \right)\left\{ {f_{15} ,f_{24} } \right\}{\text{d}}z} , \\ \end{aligned} $$
$$ \begin{aligned} \left\{ {X_{11} ,X_{22} } \right\} & = \int\limits_{{{\raise0.5ex\hbox{$\scriptstyle h$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}}}}^{{{\raise0.5ex\hbox{$\scriptstyle h$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}} + h_{\rm p} }} {\left\{ {\kappa_{11} ,\kappa_{22} } \right\}\cos^{2} \left( {\frac{{\pi \mathop z\limits^{t} }}{{h_{\rm p} }}} \right){\text{d}}z} \\ & \quad + \int\limits_{{ - {\raise0.5ex\hbox{$\scriptstyle h$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}} - h_{\rm p} }}^{{ - {\raise0.5ex\hbox{$\scriptstyle h$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}}}} {\left\{ {\kappa_{11} ,\kappa_{22} } \right\}\cos^{2} \left( {\frac{{\pi \mathop z\limits^{b} }}{{h_{\rm p} }}} \right){\text{d}}z} , \\ \end{aligned} $$
$$ \begin{aligned} \left\{ {Y_{11} ,Y_{22} } \right\} & = \int\limits_{{{\raise0.5ex\hbox{$\scriptstyle h$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}}}}^{{{\raise0.5ex\hbox{$\scriptstyle h$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}} + h_{\rm p} }} {\left\{ {g_{11} ,g_{22} } \right\}\cos^{2} \left( {\frac{{\pi \mathop z\limits^{t} }}{{h_{\rm p} }}} \right){\text{d}}z} \\ & \quad + \int\limits_{{ - {\raise0.5ex\hbox{$\scriptstyle h$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}} - h_{\rm p} }}^{{ - {\raise0.5ex\hbox{$\scriptstyle h$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}}}} {\left\{ {g_{11} ,g_{22} } \right\}\cos^{2} \left( {\frac{{\pi \mathop z\limits^{b} }}{{h_{\rm p} }}} \right){\text{d}}z} , \\ \end{aligned} $$
$$ \left\{ {\mathop {A_{31} }\limits^{\phi } \mathop {,B_{31} }\limits^{\phi } ,\mathop {H_{31} }\limits^{\phi } } \right\} = \frac{{\phi_{0} }}{{h_{\rm p} }}\int\limits_{{{\raise0.5ex\hbox{$\scriptstyle h$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}}}}^{{{\raise0.5ex\hbox{$\scriptstyle h$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}} + h_{\rm p} }} {e_{31} \left\{ {1,z,f\left( z \right)} \right\}{\text{d}}z} + \frac{{\phi_{0} }}{{h_{\rm p} }}\int\limits_{{ - {\raise0.5ex\hbox{$\scriptstyle h$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}} - h_{\rm p} }}^{{ - h_{\rm p} }} {e_{31} \left\{ {1,z,f\left( z \right)} \right\}{\text{d}}z} , $$
$$ \left\{ {\mathop {A_{32} }\limits^{\phi } \mathop {,B_{32} }\limits^{\phi } ,\mathop {H_{32} }\limits^{\phi } } \right\} = \frac{{\phi_{0} }}{{h_{\rm p} }}\int\limits_{{{\raise0.5ex\hbox{$\scriptstyle h$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}}}}^{{{\raise0.5ex\hbox{$\scriptstyle h$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}} + h_{\rm p} }} {e_{32} \left\{ {1,z,f\left( z \right)} \right\}{\text{d}}z} + \frac{{\phi_{0} }}{{h_{\rm p} }}\int\limits_{{ - {\raise0.5ex\hbox{$\scriptstyle h$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}} - h_{\rm p} }}^{{ - h_{\rm p} }} {e_{32} \left\{ {1,z,f\left( z \right)} \right\}{\text{d}}z} , $$
$$ \left\{ {\mathop {A_{31} }\limits^{\psi } \mathop {,B_{31} ,}\limits^{\psi } \mathop {H_{31} }\limits^{\psi } } \right\} = \frac{{\psi_{0} }}{{h_{\rm p} }}\int\limits_{{{\raise0.5ex\hbox{$\scriptstyle h$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}}}}^{{{\raise0.5ex\hbox{$\scriptstyle h$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}} + h_{\rm p} }} {f_{31} \left\{ {1,z,f\left( z \right)} \right\}{\text{d}}z} + \frac{{\psi_{0} }}{{h_{\rm p} }}\int\limits_{{ - {\raise0.5ex\hbox{$\scriptstyle h$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}} - h_{\rm p} }}^{{ - h_{\rm p} }} {f_{31} \left\{ {1,z,f\left( z \right)} \right\}{\text{d}}z} , $$
$$ \left\{ {\mathop {A_{32} }\limits^{\psi } \mathop {,B_{32} }\limits^{\psi } ,\mathop {H_{32} }\limits^{\psi } } \right\} = \frac{{\psi_{0} }}{{h_{\rm p} }}\int\limits_{{{\raise0.5ex\hbox{$\scriptstyle h$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}}}}^{{{\raise0.5ex\hbox{$\scriptstyle h$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}} + h_{\rm p} }} {f_{32} \left\{ {1,z,f\left( z \right)} \right\}{\text{d}}z} + \frac{{\psi_{0} }}{{h_{\rm p} }}\int\limits_{{ - {\raise0.5ex\hbox{$\scriptstyle h$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}} - h_{\rm p} }}^{{ - h_{\rm p} }} {f_{32} \left\{ {1,z,f\left( z \right)} \right\}{\text{d}}z} , $$
$$ \left\{ {\mathop {L_{15} ,}\limits^{\phi } \mathop {l_{24} }\limits^{\phi } } \right\} = \frac{{\phi_{0} }}{{h_{\rm p} }}\int\limits_{{{\raise0.5ex\hbox{$\scriptstyle h$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}}}}^{{{\raise0.5ex\hbox{$\scriptstyle h$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}} + h_{\rm p} }} {zf^{\prime}\left( z \right)\left\{ {e_{15} ,e_{24} } \right\}{\text{d}}z} + \frac{{\phi_{0} }}{{h_{\rm p} }}\int\limits_{{ - {\raise0.5ex\hbox{$\scriptstyle h$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}} - h_{\rm p} }}^{{ - h_{\rm p} }} {zf^{\prime}\left( z \right)\left\{ {e_{15} ,e_{24} } \right\}{\text{d}}z} , $$
$$ \left\{ {\mathop {L_{15} ,}\limits^{\psi } \mathop {L_{24} }\limits^{\psi } } \right\} = \frac{{\psi_{0} }}{{h_{\rm p} }}\int\limits_{{{\raise0.5ex\hbox{$\scriptstyle h$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}}}}^{{{\raise0.5ex\hbox{$\scriptstyle h$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}} + h_{\rm p} }} {zf^{\prime}\left( z \right)\left\{ {f_{15} ,f_{24} } \right\}{\text{d}}z} + \frac{{\psi_{0} }}{{h_{\rm p} }}\int\limits_{{ - {\raise0.5ex\hbox{$\scriptstyle h$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}} - h_{\rm p} }}^{{ - h_{\rm p} }} {zf^{\prime}\left( z \right)\left\{ {f_{15} ,f_{24} } \right\}{\text{d}}z} , $$
$$ \left\{ {\mathop {R_{11} ,}\limits^{\phi } \mathop {R_{22} }\limits^{\phi } } \right\} = \frac{{\phi_{0} }}{{h_{\rm p} }}\int\limits_{{{\raise0.5ex\hbox{$\scriptstyle h$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}}}}^{{{\raise0.5ex\hbox{$\scriptstyle h$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}} + h_{\rm p} }} {z \cdot \cos \left( {\frac{{\pi \mathop z\limits^{t} }}{{h_{\rm p} }}} \right)\left\{ {\kappa_{11} ,\kappa_{22} } \right\}{\text{d}}z} + \frac{{\phi_{0} }}{{h_{\rm p} }}\int\limits_{{ - {\raise0.5ex\hbox{$\scriptstyle h$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}} - h_{\rm p} }}^{{ - h_{\rm p} }} {z.\cos \left( {\frac{{\pi \mathop z\limits^{b} }}{{h_{\rm p} }}} \right)\left\{ {\kappa_{11} ,\kappa_{22} } \right\}{\text{d}}z} , $$
$$ \left\{ {\mathop {S_{11} ,}\limits^{\phi } \mathop {S_{22} }\limits^{\phi } } \right\} = \frac{{\phi_{0} }}{{h_{\rm p} }}\int\limits_{{{\raise0.5ex\hbox{$\scriptstyle h$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}}}}^{{{\raise0.5ex\hbox{$\scriptstyle h$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}} + h_{\rm p} }} {z \cdot \cos \left( {\frac{{\pi \mathop z\limits^{t} }}{{h_{\rm p} }}} \right)\left\{ {g_{11} ,g_{22} } \right\}{\text{d}}z} + \frac{{\phi_{0} }}{{h_{\rm p} }}\int\limits_{{ - {\raise0.5ex\hbox{$\scriptstyle h$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}} - h_{\rm p} }}^{{ - h_{\rm p} }} {z \cdot \cos \left( {\frac{{\pi \mathop z\limits^{b} }}{{h_{\rm p} }}} \right)\left\{ {g_{11} ,g_{22} } \right\}{\text{d}}z} , $$
$$ \left\{ {\mathop {S_{11} ,}\limits^{\psi } \mathop {S_{22} }\limits^{\psi } } \right\} = \frac{{\psi_{0} }}{{h_{\rm p} }}\int\limits_{{{\raise0.5ex\hbox{$\scriptstyle h$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}}}}^{{{\raise0.5ex\hbox{$\scriptstyle h$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}} + h_{\rm p} }} {z \cdot \cos \left( {\frac{{\pi \mathop z\limits^{t} }}{{h_{\rm p} }}} \right)\left\{ {g_{11} ,g_{22} } \right\}{\text{d}}z} + \frac{{\psi_{0} }}{{h_{\rm p} }}\int\limits_{{ - {\raise0.5ex\hbox{$\scriptstyle h$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}} - h_{\rm p} }}^{{ - h_{\rm p} }} {z \cdot \cos \left( {\frac{{\pi \mathop z\limits^{b} }}{{h_{\rm p} }}} \right)\left\{ {g_{11} ,g_{22} } \right\}{\text{d}}z} , $$
$$ \left\{ {\mathop {Z_{11} ,}\limits^{\psi } \mathop {Z_{22} }\limits^{\psi } } \right\} = \frac{{\psi_{0} }}{{h_{\rm p} }}\int\limits_{{{\raise0.5ex\hbox{$\scriptstyle h$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}}}}^{{{\raise0.5ex\hbox{$\scriptstyle h$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}} + h_{\rm p} }} {z \cdot \cos \left( {\frac{{\pi \mathop z\limits^{t} }}{{h_{\rm p} }}} \right)\left\{ {\mu_{11} ,\mu_{22} } \right\}{\text{d}}z} + \frac{{\psi_{0} }}{{h_{\rm p} }}\int\limits_{{ - {\raise0.5ex\hbox{$\scriptstyle h$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}} - h_{\rm p} }}^{{ - h_{\rm p} }} {z \cdot \cos \left( {\frac{{\pi \mathop z\limits^{b} }}{{h_{\rm p} }}} \right)\left\{ {\mu_{11} ,\mu_{22} } \right\}{\text{d}}z} , $$
$$ \left\{ {\mathop {S_{33} ,}\limits^{\phi } \mathop {R_{33} }\limits^{\phi } } \right\} = \frac{{\pi \phi_{0} }}{{h_{\rm p}^{2} }}\int\limits_{{{\raise0.5ex\hbox{$\scriptstyle h$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}}}}^{{{\raise0.5ex\hbox{$\scriptstyle h$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}} + h_{\rm p} }} {\sin \left( {\frac{{\pi \mathop z\limits^{t} }}{{h_{\rm p} }}} \right)\left\{ {g_{33} ,\kappa_{33} } \right\}{\text{d}}z} + \frac{{\pi \phi_{0} }}{{h_{\rm p}^{2} }}\int\limits_{{ - {\raise0.5ex\hbox{$\scriptstyle h$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}} - h_{\rm p} }}^{{ - h_{\rm p} }} {\sin \left( {\frac{{\pi \mathop z\limits^{b} }}{{h_{\rm p} }}} \right)\left\{ {g_{33} ,\kappa_{33} } \right\}{\text{d}}z} , $$
$$ \left\{ {\mathop {S_{33} ,}\limits^{\psi } \mathop {Z_{33} }\limits^{\psi } } \right\} = \frac{{\pi \psi_{0} }}{{h_{\rm p}^{2} }}\int\limits_{{{\raise0.5ex\hbox{$\scriptstyle h$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}}}}^{{{\raise0.5ex\hbox{$\scriptstyle h$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}} + h_{\rm p} }} {\sin \left( {\frac{{\pi \mathop z\limits^{t} }}{{h_{\rm p} }}} \right)\left\{ {g_{33} ,\mu_{33} } \right\}{\text{d}}z} + \frac{{\pi \psi_{0} }}{{h_{\rm p}^{2} }}\int\limits_{{ - {\raise0.5ex\hbox{$\scriptstyle h$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}} - h_{\rm p} }}^{{ - h_{\rm p} }} {\sin \left( {\frac{{\pi \mathop z\limits^{b} }}{{h_{\rm p} }}} \right)\left\{ {g_{33} ,\mu_{33} } \right\}{\text{d}}z} , $$
$$ \begin{aligned} \left\{ {\mathop {A_{11} }\limits^{T} \mathop {,B_{11} }\limits^{T} ,\mathop {H_{11} }\limits^{T} } \right\} & = \int\limits_{{ - {\raise0.5ex\hbox{$\scriptstyle h$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}}}}^{{{\raise0.5ex\hbox{$\scriptstyle h$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}}}} {c_{11}^{\rm c} \alpha T\left( z \right)\left\{ {1,z,f\left( z \right)} \right\}{\text{d}}z} \\ & \quad + \int\limits_{{{\raise0.5ex\hbox{$\scriptstyle h$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}}}}^{{{\raise0.5ex\hbox{$\scriptstyle h$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}} + h_{\rm p} }} {c_{11}^{\rm p} \alpha T\left( z \right)\left\{ {1,z,f\left( z \right)} \right\}{\text{d}}z} \\ & \quad + \int\limits_{{ - {\raise0.5ex\hbox{$\scriptstyle h$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}} - h_{\rm p} }}^{{{\raise0.5ex\hbox{$\scriptstyle { - h}$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}}}} {c_{11}^{\rm p} \alpha T\left( z \right)\left\{ {1,z,f\left( z \right)} \right\}{\text{d}}z} , \\ \end{aligned} $$
$$ \begin{aligned} \left\{ {\mathop {A_{12} }\limits^{T} \mathop {,B_{12} }\limits^{T} ,\mathop {H_{12} }\limits^{T} } \right\} & = \int\limits_{{ - {\raise0.5ex\hbox{$\scriptstyle h$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}}}}^{{{\raise0.5ex\hbox{$\scriptstyle h$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}}}} {c_{12}^{\rm c} \alpha T\left( z \right)\left\{ {1,z,f\left( z \right)} \right\}{\text{d}}z} \\ & \quad + \int\limits_{{{\raise0.5ex\hbox{$\scriptstyle h$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}}}}^{{{\raise0.5ex\hbox{$\scriptstyle h$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}} + h_{\rm p} }} {c_{12}^{\rm p} \alpha T\left( z \right)\left\{ {1,z,f\left( z \right)} \right\}{\text{d}}z} \\ & \quad + \int\limits_{{ - {\raise0.5ex\hbox{$\scriptstyle h$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}} - h_{\rm p} }}^{{{\raise0.5ex\hbox{$\scriptstyle { - h}$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}}}} {c_{12}^{\rm p} \alpha T\left( z \right)\left\{ {1,z,f\left( z \right)} \right\}{\text{d}}z} , \\ \end{aligned} $$
$$ \begin{aligned} \left\{ {\mathop {A_{13} }\limits^{T} \mathop {,B_{13} }\limits^{T} ,\mathop {H_{13} }\limits^{T} } \right\} & = \int\limits_{{ - {\raise0.5ex\hbox{$\scriptstyle h$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}}}}^{{{\raise0.5ex\hbox{$\scriptstyle h$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}}}} {c_{13}^{\rm c} \alpha T\left( z \right)\left\{ {1,z,f\left( z \right)} \right\}{\text{d}}z} \\ & \quad + \int\limits_{{{\raise0.5ex\hbox{$\scriptstyle h$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}}}}^{{{\raise0.5ex\hbox{$\scriptstyle h$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}} + h_{\rm p} }} {c_{13}^{\rm p} \alpha T\left( z \right)\left\{ {1,z,f\left( z \right)} \right\}{\text{d}}z} \\ & \quad + \int\limits_{{ - {\raise0.5ex\hbox{$\scriptstyle h$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}} - h_{\rm p} }}^{{{\raise0.5ex\hbox{$\scriptstyle { - h}$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}}}} {c_{13}^{\rm p} \alpha T\left( z \right)\left\{ {1,z,f\left( z \right)} \right\}{\text{d}}z} , \\ \end{aligned} $$
$$ \begin{aligned} \left\{ {\mathop {A_{22} }\limits^{T} \mathop {,B_{22} }\limits^{T} ,\mathop {H_{22} }\limits^{T} } \right\} & = \int\limits_{{ - {\raise0.5ex\hbox{$\scriptstyle h$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}}}}^{{{\raise0.5ex\hbox{$\scriptstyle h$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}}}} {c_{22}^{\rm c} \alpha T\left( z \right)\left\{ {1,z,f\left( z \right)} \right\}{\text{d}}z} \\ & \quad + \int\limits_{{{\raise0.5ex\hbox{$\scriptstyle h$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}}}}^{{{\raise0.5ex\hbox{$\scriptstyle h$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}} + h_{\rm p} }} {c_{22}^{\rm p} \alpha T\left( z \right)\left\{ {1,z,f\left( z \right)} \right\}{\text{d}}z} \\ & \quad + \int\limits_{{ - {\raise0.5ex\hbox{$\scriptstyle h$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}} - h_{\rm p} }}^{{{\raise0.5ex\hbox{$\scriptstyle { - h}$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}}}} {c_{22}^{\rm p} \alpha T\left( z \right)\left\{ {1,z,f\left( z \right)} \right\}{\text{d}}z} , \\ \end{aligned} $$
$$ \begin{aligned} \left\{ {\mathop {F_{31} }\limits^{T} \mathop {,\,F_{32} }\limits^{T} ,\mathop {E_{31} }\limits^{T} ,\mathop {E_{32} }\limits^{T} } \right\} & = \frac{\pi }{{h_{\rm p} }}\int\limits_{{{\raise0.5ex\hbox{$\scriptstyle h$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}}}}^{{{\raise0.5ex\hbox{$\scriptstyle h$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}} + h_{\rm p} }} {\alpha T\left( z \right)\sin \left( {\frac{{\pi \mathop z\limits^{t} }}{{h_{\rm p} }}} \right)\left\{ {f_{31} ,f_{32} ,e_{31} ,e_{32} } \right\}{\text{d}}z} \\ \, & \quad + \frac{\pi }{{h_{\rm p} }}\int\limits_{{ - {\raise0.5ex\hbox{$\scriptstyle h$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}} - h_{\rm p} }}^{{{\raise0.5ex\hbox{$\scriptstyle { - h}$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}}}} {\alpha T\left( z \right)\sin \left( {\frac{{\pi \mathop z\limits^{t} }}{{h_{\rm p} }}} \right)\left\{ {f_{31} ,f_{32} ,e_{31} ,e_{32} } \right\}{\text{d}}z} , \\ \end{aligned} $$
$$ \mathop {F_{33} }\limits^{T} = \int\limits_{{ - {\raise0.5ex\hbox{$\scriptstyle h$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}}}}^{{{\raise0.5ex\hbox{$\scriptstyle h$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}}}} {c_{33}^{\rm c} \alpha T\left( z \right)f^{\prime\prime}\left( z \right){\text{d}}z} + \int\limits_{{{\raise0.5ex\hbox{$\scriptstyle h$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}}}}^{{{\raise0.5ex\hbox{$\scriptstyle h$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}} + h_{\rm p} }} {c_{33}^{\rm p} \alpha T\left( z \right)f^{\prime\prime}\left( z \right){\text{d}}z} + \int\limits_{{ - {\raise0.5ex\hbox{$\scriptstyle h$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}} - h_{\rm p} }}^{{{\raise0.5ex\hbox{$\scriptstyle { - h}$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}}}} {c_{33}^{\rm p} \alpha T\left( z \right)f^{\prime\prime}\left( z \right){\text{d}}z} . $$
