PERTURBATION ANALYSES FOR THE POSTBUCKLING OF SIMPLY SUPPORTED RECTANGULAR PLATES UNDER UNIAXIAL COMPRESSION

摘要/Abstract

摘要： In this paper, applying perturbation method to von Karman nonlinear large deftection equations of plates by taking deflection as perturbation parameter, the postbuckling behavior of simply supported rectangular plates under uniaxiai compression is insestigated. Two types of in-plane bouridary conditions are now considered and the effecis of initial imperfections are also studied. It is found that the theoretical results are?in good agreement with experiments.The method suggested in this paper which has not been found in previous papers is rather simple and easy for the postbuckling analysis of rectangular plates.

关键词: stay cable, transient response, vibration control, non-linearity

Abstract: In this paper, applying perturbation method to von Karman nonlinear large deftection equations of plates by taking deflection as perturbation parameter, the postbuckling behavior of simply supported rectangular plates under uniaxiai compression is insestigated. Two types of in-plane bouridary conditions are now considered and the effecis of initial imperfections are also studied. It is found that the theoretical results are?in good agreement with experiments.The method suggested in this paper which has not been found in previous papers is rather simple and easy for the postbuckling analysis of rectangular plates.

Key words: stay cable, transient response, vibration control, non-linearity

沈惠申;张建武. PERTURBATION ANALYSES FOR THE POSTBUCKLING OF SIMPLY SUPPORTED RECTANGULAR PLATES UNDER UNIAXIAL COMPRESSION[J]. Applied Mathematics and Mechanics (English Edition), 1988, 9(8): 793-804.

Shen Hui-shen;Zhang Jian-wu. PERTURBATION ANALYSES FOR THE POSTBUCKLING OF SIMPLY SUPPORTED RECTANGULAR PLATES UNDER UNIAXIAL COMPRESSION[J]. Applied Mathematics and Mechanics (English Edition), 1988, 9(8): 793-804.

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