Large Deflection Problem of Thin Orthotropic Circular Plate on Elastic Foundation with Variable Thickness under Uniform Pressure

Wang Jiaxin; Liu Jie

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Article Navigation > Applied Mathematics and Mechanics > 1996 > 17(5): 455-463

Wang Jiaxin, Liu Jie. Large Deflection Problem of Thin Orthotropic Circular Plate on Elastic Foundation with Variable Thickness under Uniform Pressure[J]. Applied Mathematics and Mechanics, 1996, 17(5): 455-463.

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Large Deflection Problem of Thin Orthotropic Circular Plate on Elastic Foundation with Variable Thickness under Uniform Pressure

Wang Jiaxin¹,
Liu Jie²

1.
Centra-Sounth University of Technology, Changsha 410083, P. R. China;
2.
Zhuzhou Engineering Institute, Zhuzhou, Hu'nan 412000 P. R. China

Received Date: 1995-01-25
Publish Date: 1996-05-15

Abstract

Abstract

Basic equations for large deflection theory of thin orthotropic circular plate on elastic foundation with variable thickness under uniform pressure are derived in this paper. The modified iteration method is adopted to solve the large deflection problem of thin orthotropic circular plate on elastic foundation with variable thickness under uniform pressure, If ε=0, R=100 and R=200, μ=0,3, λ=1 then the result derived from the solution in this paper agrees statisfactorily with the result given by Galerkin's method^[1] for solving large deflection problem of thin circular, plate with constant thickness on elastic foundation under uniform pressure.
- variable thickness,
- thin circular plate,
- large deflection

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References(6)

References

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[2]	Y.Nath,Large amplitude response of circular plates foundations,Int.J.Nonlinear Mech.,17,4 (1982).285-296.
[3]	R.Baton,Stress in circular plate on elastic foundation,J.Eng.Mech.Dir.Proc.ASCE,98 (EMB) (1972),629-640.
[4]	叶开沉、刘人怀等,在对称线布载荷作用下的圆底扁薄球壳的非线性稳定问题,科学通报,(2) (1965),142.
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[6]	Yeh Kaiyuan and Wang Xinzhi,Modified iteration method in the problem of large deflection of thin circular plates with non-uniform thickness.Proc.of the International Conference on Nonlinear Mechanics,Shanghai,Editor-in-Chief Chien Weizang,Science Press (1995),398-403.