| 弹性厚矩形板受迫振动的功的互等定理法 |
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| 引用本文： | 李慧剑,付宝连.弹性厚矩形板受迫振动的功的互等定理法[J].应用数学和力学,1998,19(2):175-188. |
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| 作者姓名： | 李慧剑 付宝连 |
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| 作者单位： | 燕山大学 |
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| 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·
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| 关 键 词： | 功的互等定理法 动力基本解 厚矩形板 受迫振动 |
Reciprocal Theorem Method for the Forced Vibration of Elastic Thick Rectangular Plates |
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| Li Huijian,Fu Baolian,Tan Wenfeng.Reciprocal Theorem Method for the Forced Vibration of Elastic Thick Rectangular Plates[J].Applied Mathematics and Mechanics,1998,19(2):175-188. |
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| Authors: | Li Huijian Fu Baolian Tan Wenfeng |
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| Abstract: | 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. |
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| Keywords: | reciprocal theorem method dynamic basic solution thick rectangular plate forced vibration |
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