压电板屈曲和后屈曲的有限元分析

采用板的一阶剪切理论,并考虑结构的几何非线性,基于Total Lagrange方法,建立了在弱非线性耦合假设下压电智能结构的有限元控制方程.分析了不同边界条件下压电板的屈曲和后屈曲.计算结果表明,在单向压力作用下,材料的压电效应和外加电压对板的屈曲载荷及后屈曲影响很小;而电场对位移加载简支板的屈曲影响较显著.该文为压电材料的工程应用提供了理论指导,同时提供了一种有效的有限元分析方法.

BUCKLING AND POST-BUCKLING ANALYSIS OF PIEZOELECTRIC PLATES USING FINITE ELEMENT METHOD

Linear theory is not suitable for large deformation, such as buckling and post buckling. Under the assumption of weak coupling between electricity and mechanics, the finite element equations considering the geometrical nonlinearity of piezoelectric smart structures are derived based on Total Lagrange method. Buckling and post buckling of piezoelectric plate with various boundary conditions are considered. Under uniaxial pressure, piezolectric effect and external voltage can hardly affect buckling and post buckling characteristic of piezoelectric plate. Although the piezoelectric effect can affect the buckling characteristic caused by displacement slightly, the external voltage can influence the buckling characteristic of piezoelectric plate strongly. A useful analysis method is obtained in this paper.