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INVESTIGATION OF RANDOM RESPONSE OF ROTATIONALSHELL WHEN CONSIDERING GEOMETRICNONLINEAR BEHAVIOUR
作者姓名:高世桥  金磊  H.J.Niemann  刘海鹏
作者单位:GAO Shi-qiao,JIN Lei H.J.Niemann 2,LIU Hai-peng (1 Academy of Mechanical and Electrical Engineering Beijing,Institute of Technology,Beijing 100081,P R China; 2 Building Aerodynamics Laboratory,Ruhr-University,F R Germany
基金项目:theHumboldtFoundationofGermany
摘    要:IntroductionInengineering,thenonlinearityofshellstructureissometimesobvious.Itisverydifficulttosolvetheproblemofthenonlinearrandomvibration .Inthispaper,wetrytosolveitinthefrequencydomainbyanimprovedstatisticlinearizationmethod .Weconsideronlythegeometr…

收稿时间:5 May 2000

Investigation of Random Response of Rotational Shell When Considering Geometric Nonlinear Behaviour
Shi-qiao Gao,Lei Jin,H.J. Niemann,Hai-peng Liu.INVESTIGATION OF RANDOM RESPONSE OF ROTATIONALSHELL WHEN CONSIDERING GEOMETRICNONLINEAR BEHAVIOUR[J].Applied Mathematics and Mechanics(English Edition),2001,22(11):1268-1272.
Authors:Shi-qiao Gao  Lei Jin  HJ Niemann  Hai-peng Liu
Institution:1. Academy of Mechanical and Electrical Engineering Beijing, Institute of Technology, Beijing 100081, P R China
2. Building Aerodynamics Laboratory, Ruhr-University, F R Germany
Abstract:An iteration method of statistic linearization(IMSL) is presented. By this method, an equivalent linear term was formed in geometric relation and then an equivalent stiffness matrix for nonlinear term in vibration equation was established. Using the method to solve the statistic linear vibration equations, the effect of geometric nonlinearity on the random response of rotational shell is obtained.
Keywords:nonlinear  random response  rotational shell
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