压电弹性层合梁静力机电耦合特性的解析解

Analytic Solution for Static Electromechanical Coupled Behavior of Laminated Piezoelectric Beam

利用直法线假设，对压电层合梁、板结构进行化简，得到压电层合梁、板结构的机电耦合方程．对层合简支梁结构在两端电学开路的情况作一探讨，用解析的方法得到了其在无外加电场作用时的静态电势和挠度分布的解析表达式．给出了压电层和基体的挠度、电势分布图．

The governing equations were inferred by simplifying laminated piezoelectric plate on the basis of Kichhoff assumption. The laminated piezoelectric beam under the situation of open circuit at both ends was explored. An analytic solution for static electromechanical coupled behavior of laminated piezoelectric beam under the non external voltage situation was also presented. The distributions of voltage and deflection in piezoelectric layer and matrix were provided. The results show that the voltage through thickness can be treated as linear distribution.