The analytical solution for static analysis of laminated composite plate integrated with piezoelectric fiber reinforced composite actuator is obtained using a recently developed Trigonometric Zigzag theory. The kinematic field consists of five independent field variables accommodating non-linear variation of transverse shear strains through the thickness of the laminated composite plate. The principle of minimum potential energy is adopted to derive the governing equations of equilibrium. Navier’s solution technique is employed to convert the system of coupled partial differential equations into a system of algebraic equations. The electric potential is assumed to vary linearly through the thickness of the piezoelectric layer. The analytical formulation also does not include voltage as an additional primary variable. The response in the form of deflection and stresses are obtained for smart composite plates subjected to electro-mechanical loads and compared with the elasticity solutions and available results reported by other researchers in the existing literature. The transverse shear stresses are accurately determined by an efficient post-processing technique of integrating the equilibrium equations of elasticity. Parametric studies on actuation in the response of the smart composite plate are also presented graphically in order to have a clear understanding of the static behavior.

中文翻译：

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利用三角锯齿理论对集成压电层的层压复合板进行解析建模

使用最近开发的三角锯齿理论获得了集成有压电纤维增强复合驱动器的层压复合板的静态分析解析解。运动场由五个独立的场变量组成，这些变量适应通过层压复合板厚度的横向剪切应变的非线性变化。采用势能最小原理推导出平衡控制方程。Navier 的求解技术用于将耦合偏微分方程组转换为代数方程组。假定电势在压电层的厚度上线性变化。分析公式也不包括电压作为附加的主要变量。对于承受机电负载的智能复合板，获得了挠度和应力形式的响应，并与现有文献中其他研究人员报告的弹性解决方案和可用结果进行了比较。横向剪切应力是通过对弹性平衡方程进行积分的有效后处理技术来准确确定的。智能复合板响应中的驱动参数研究也以图形方式呈现，以便对静态行为有一个清晰的了解。横向剪切应力是通过对弹性平衡方程进行积分的有效后处理技术来准确确定的。智能复合板响应中的驱动参数研究也以图形方式呈现，以便对静态行为有一个清晰的了解。横向剪切应力是通过对弹性平衡方程进行积分的有效后处理技术来准确确定的。智能复合板响应中的驱动参数研究也以图形方式呈现，以便对静态行为有一个清晰的了解。