厚板的随机响应

Random Responses of Thick Plates

本文把厚板作为连续体,引用具有外阻尼和内阻尼的弹性厚板的振动方程对厚板的随机响应进行了分析,其中荷载用随机函数来描述,给出了厚板动力特性的解析表达式和厚板随机响应的一般表达式。文中以矩形板为例给出了数值结果。对按改进理论和经典理论所预示的结果进行了比较。

In this paper, random responses of thick plates are analysed by using the vibration equation of elastic thick plates with external and inner damping, deduced by the author here. The thick plates in it are regarded as continua. Loads are described by random functions. Analytical expressions for dynamic characteristic of thick plates and general expressions for random responses of thick plates are given. Numerical results for rectangular plates as example are given herein. The results are compared with those obtained from the improved theory and the classical theory.