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用简单高效的矩形广义协调元分析薄板的振动
引用本文:胡雨村,匡文起.用简单高效的矩形广义协调元分析薄板的振动[J].工程力学,1992,9(4):88-96.
作者姓名:胡雨村  匡文起
作者单位:清华大学土木系 (胡雨村),清华大学土木系(匡文起)
摘    要:本文介绍一种在薄板振动分析中很简单,而且很实用的广义协调矩形元,将其应用于薄板固有振动分析中,求解前几阶的固有频率。文中算例表明,该单元简易,程序通用,且精度高。同时,它还可以与平面应力单元组合,构成平板型壳单元,用以分析某些壳体(如柱壳、折板等)的振动,同样简单实用。

关 键 词:广义协调元  薄板  振动

VIBRATIONAL ANALYSIS OF THIN PLATES USING A SIMPLE AND EFFECTIVE RECTANGULAR GENERALIZED CONFORMING ELEMENT
Hu Yucun Kuang Wenqi.VIBRATIONAL ANALYSIS OF THIN PLATES USING A SIMPLE AND EFFECTIVE RECTANGULAR GENERALIZED CONFORMING ELEMENT[J].Engineering Mechanics,1992,9(4):88-96.
Authors:Hu Yucun Kuang Wenqi
Affiliation:Tsinghua University
Abstract:In this paper, a simple and effective rectangular generalized conforming element (RGCE) is used to analyze the problem of free vibration of thin plates. Numerical results show that this plate element is simple, higher precision and easy to be programmed. Meanwhile, combining this element with plane stress element the flat plate shell element is constituted. It can be used to analyze the vibration of the shell simply and effectively.
Keywords:Generalized Conforming Element  Thin plate  Vibration
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