厚度不连续悬臂梁板的自由振动分析

将厚度不连续梁板视为层合板, 分别应用Hamilton 正则方程半解析法建立每一层的线性方程。考虑到每两层连接界面上应力和位移的连续性, 联立各层的方程得到整个结构的特征方程, 其主要的优越性表现为: 控制方程不限制不连续梁板的厚度, 并能适合处理厚度不对称且不连续的层合板。本文中的方法可修改或扩展用来分析加筋压电材料层合板或带有压电材料传感器和驱动器块的板壳等问题。

Vibration characteristic analysis of cantilever beam2plates with discontinuity in thickness

The cantilever beam-plate with discontinuity in thickness is considered as a laminated plate. Based on the semi-analytical solution for Hamilton canonical equation, the linear equation of each layer is established separately. The compatibility of displacements and stresses on the interface between layers is employed to derive the integral equation and the characteristic equation. The main advantages are there is no restriction on the thickness of the cantilever beam-plate and the present method can deal with the cantilever laminated plate with discontinuity and dissymmetry in thickness. The method can also be modified to analyze the corresponding problems of stiffened shells, stiffened piezolaminated plates, and plates or shells with piezoelectric sensor and actuator patches.