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A study of the polarization-electric-field nonlinear effect on the response of smart composite plates

机译：极化电场非线性对智能复合板响应的影响研究

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Polarization-electric-field (P-E) interaction results in rendering the stress tensor non-symmetric and in a nonlinear force term in the equilibrium equation. In this paper, an attempt is made to study these (P-E) nonlinear effects on the static response of laminated composite plates with piezo actuators. Further, this paper also focuses on finding the most effective piezo lay-up and ply orientation which gives the maximum deflections. Four different piezo lay-up configurations and three ply orientations are considered. It has been observed from the study that width-wise strips show more transverse bending and twisting. However, full length piezo layers show maximum longitudinal bending. The results of nonlinear analysis show a more considerable softening trend in deformations than that of the linear analysis in the case of longitudinal bending and twisting. In the case of transverse bending this nonlinear effect shows a hardening trend. Further, it has been observed that the influence of P-E nonlinearity depends on the stiffness of the core material, the geometric arrangement of piezo patches, the boundary conditions and the actuation voltage.
机译：极化电场（P-E）相互作用导致应力张量不对称，并且平衡方程中出现非线性力项。在本文中，尝试研究这些（P-E）非线性效应对带有压电执行器的层压复合板的静态响应的影响。此外，本文还着重于找到最有效的压电叠层和板层定向，从而提供最大的挠度。考虑了四种不同的压电铺层配置和三种层定向。从研究中观察到，宽度方向的条带显示出更多的横向弯曲和扭曲。但是，全长压电层显示出最大的纵向弯曲。在纵向弯曲和扭曲的情况下，非线性分析的结果显示出比线性分析更显着的变形软化趋势。在横向弯曲的情况下，这种非线性效应显示出硬化趋势。此外，已经观察到，P-E非线性的影响取决于芯材料的刚度，压电片的几何布置，边界条件和致动电压。

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