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夹层矩形板的非线性动力屈曲
引用本文:徐加初,杨洪武,王乘. 夹层矩形板的非线性动力屈曲[J]. 华中科技大学学报(自然科学版), 2000, 28(11): 101-103
作者姓名:徐加初  杨洪武  王乘
作者单位:华中理工大学力学系;华中理工大学力学系;华中理工大学力学系
摘    要:研究了夹层矩形板的非线性动力屈曲问题,基于Reissner假设和Hamilton原理下的夹层矩形板的非线性运动控制方程,应用伽辽金方法和双参数摄动法确定四边简支夹层矩形板在纵向简谐载荷作用下的非线性动力不稳定区的边界,并对影响动力稳定性的若干因素进行探讨.

关 键 词:夹层矩形板  非线性动力屈曲  伽辽金法  双参数摄动法
文章编号:1000-8616(2000)11-0101-03
修稿时间:2000-03-13

Nonlinear Dynamic Buckling of Rectangular Sandwich Plates
Xu Jiachu Yang Hongwu Wang ChengDept. of Mechanics,HUST,Wuhan ,China.. Nonlinear Dynamic Buckling of Rectangular Sandwich Plates[J]. JOURNAL OF HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY.NATURE SCIENCE, 2000, 28(11): 101-103
Authors:Xu Jiachu Yang Hongwu Wang ChengDept. of Mechanics  HUST  Wuhan   China.
Affiliation:Xu Jiachu Yang Hongwu Wang ChengDept. of Mechanics,HUST,Wuhan 430074,China.
Abstract:Nonlinear dynamic buckling of rectangular sandwich plates under in plane harmonic load is analyzed. Based on Reissner's and Hamilton's principle, the governing motion equation for geometrically nonlinearity of the plate is derived. By using Galerkin technique and double parameters perturbation method, the boundary of the principle instability region of simply supported plate is determined. The effects of geometrical and physical parameters on the dynamic stability are discussed.
Keywords:rectangular sandwich plate  nonlinear dynamic buckling  Galerkin technique  double parameters perturbation met4
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