FORMULATION OF A SEMI-ANALYTICAL APPROACH BASEDON GURTIV VARIATIONAL PRINCIPLE FOR DYNAMICRESPONSE OF GENERAL THIN PLATES

Applied Mathematics and Mechanics (English Edition) ›› 1997, Vol. 18 ›› Issue (11): 1059-1063.

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FORMULATION OF A SEMI-ANALYTICAL APPROACH BASEDON GURTIV VARIATIONAL PRINCIPLE FOR DYNAMICRESPONSE OF GENERAL THIN PLATES

Peng Jianshe¹, Zhang Jingyu², Yang Jie³

1. Sichuan Teachers College, Nanchong. 637000, P. R. China;
2. College of Mech. and Elec., Tianjin University, Tianjin 30000. P. R. China;
3. Wuhan Institute of Chemical Technology, Wuhan 430000, P. R. China

Received:1996-09-06 Revised:1997-06-16 Online:1997-11-18 Published:1997-11-18
Supported by:
Project supported by the National Natutal Science Foundation of China

Abstract

Abstract: 4 semi-analytical approach for the dynamic response of general thin plates whichemployes finite element discretization in space domain and a series of representation intime demain is developed on the basis of Curtin variational principles.The formulationof time series is also investigated so that the dynamic response of plates with arbitraryshape and boundary constraints can be achieved with adequate accuracy.

Key words: semi-analytical approach, dynamic response, variational principle, thin plate-the finite element method

Peng Jianshe;Zhang Jingyu;Yang Jie. FORMULATION OF A SEMI-ANALYTICAL APPROACH BASEDON GURTIV VARIATIONAL PRINCIPLE FOR DYNAMICRESPONSE OF GENERAL THIN PLATES. Applied Mathematics and Mechanics (English Edition), 1997, 18(11): 1059-1063.

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FORMULATION OF A SEMI-ANALYTICAL APPROACH BASEDON GURTIV VARIATIONAL PRINCIPLE FOR DYNAMICRESPONSE OF GENERAL THIN PLATES

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