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Nonlinear vibration and buckling of circular sandwich plate under complex load
作者姓名:杜国君  马建青
作者单位:College of Architecture Engineering and Mechanics Yanshan University Qinhuangdao 066004,Hebei Province,P.R.China,College of Architecture Engineering and Mechanics Yanshan University,Qinhuangdao 066004,Hebei Province,P.R.China
摘    要:The nonlinear vibration fundamental equation of circular sandwich plate under uniformed load and circumjacent load and the loosely clamped boundary condi- tion were established by von Karman plate theory,and then accordingly exact solution of static load and its numerical results were given.Based on time mode hypothesis and the variational method,the control equation of the space mode was derived,and then the amplitude frequency-load character relation of circular sandwich plate was obtained by the modified iteration method.Consequently the rule of the effect of the two kinds of load on the vibration character of the circular sandwich plate was investigated.When circumjacent load makes the lowest natural frequency zero,critical load is obtained.

关 键 词:非线性振动  挠度  圆形夹层板  复杂负荷  振幅频率-特征关系
收稿时间:20 November 2006
修稿时间:2006-11-202007-04-23

Nonlinear vibration and buckling of circular sandwich plate under complex load
Du Guo-jun,Ma Jian-qing.Nonlinear vibration and buckling of circular sandwich plate under complex load[J].Applied Mathematics and Mechanics(English Edition),2007,28(8):1081-1091.
Authors:Du Guo-jun  Ma Jian-qing
Institution:College of Architecture Engineering and Mechanics, Yanshan University, Qinhuangdao 066004, Hebei Province, P. R. China
Abstract:The nonlinear vibration fundamental equation of circular sandwich plate under uniformed load and circumjacent load and the loosely clamped boundary condi- tion were established by von Karman plate theory,and then accordingly exact solution of static load and its numerical results were given.Based on time mode hypothesis and the variational method,the control equation of the space mode was derived,and then the amplitude frequency-load character relation of circular sandwich plate was obtained by the modified iteration method.Consequently the rule of the effect of the two kinds of load on the vibration character of the circular sandwich plate was investigated.When circumjacent load makes the lowest natural frequency zero,critical load is obtained.
Keywords:circular sandwich plate  nonlinear vibration  buckling  complex load  amplitude frequency-load characteristic relation
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