弹性厚矩形板受迫振动的功的互等定理法  

Reciprocal Theorem Method for the Forced Vibration of Elastic Thick Rectangular Plates

作　　者：李慧剑[1] 付宝连[1] 谭文峰 

机构地区：[1]燕山大学

出　　处：《应用数学和力学》1998年第2期175-188,共14页Applied Mathematics and Mechanics

摘　　要：本文将功的互等定理法（ＲＴＭ）推广应用于求解基于Ｒｅｉｓｓｎｅｒ理论的厚矩形板受迫振动问题·本文导出了厚矩形板动力基本解；给出了三边固定一边自由厚矩形板在均布简谐干挠力作用下稳态响应的精确解析解·这是计算厚矩形板受振动稳态响应的一个简便通用的方法·In this paper,reciprocal theorem method(RTM) is generalized to solve the problems for the forced vibration of thick rectangular plates based on the Reissner's theory. The paper derives the dynamic basic solution of thick rectangular plates;and the exact analytical solution of the steady state responses of thick rectangular plates with three clamped edges and one free edge under harmonic uniformly distributed disturbing forces is found by RTM. It is regarded as a simple,convenient and general method for calculating the steady state responses of forced vibration of thick rectangular plates.

关 键 词：互等定理法 矩形板 受迫振动 厚板 弹性板 

分 类 号：O326[理学—一般力学与力学基础]