夹层板振动简化有限元数值分析

Simplified finite element analysis of vibration of sandwich plate

将夹层板等效为各向同性板 ,应用Mindlin板单元求解固有频率 .根据夹层板的正应力、正应变和剪应力、剪应变沿板厚的分布关系 ,得到夹层板的弯曲、剪切修正系数 .对于具有粘弹性夹层的夹层板 ,可以避免求解复特征值问题 ,为工程计算提供了一种简便的分析方法 .

The natural frequencies of the sandwich plate simplified as the isotropic plate based on the equivalence principle are computed by using Mindlin plate finite element. The bending and shear modifying coefficients are derived according to the distribution of the stress and strain of the sandwich plate along the direction of the plate thickness. The solution of the complex eigenvalue is avoided for the sandwich plate with a viscoelastic core. A simplified analysis method is presented for the engineering application.