On Analytical-Computerized Method to Solve Nonlinear Bending Problem of Circular Plate under a Concentrated Load

Zheng Xiao-jing; Zhou You-he

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Article Navigation > Applied Mathematics and Mechanics > 1987 > 8(8): 719-726

Zheng Xiao-jing, Zhou You-he. On Analytical-Computerized Method to Solve Nonlinear Bending Problem of Circular Plate under a Concentrated Load[J]. Applied Mathematics and Mechanics, 1987, 8(8): 719-726.

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On Analytical-Computerized Method to Solve Nonlinear Bending Problem of Circular Plate under a Concentrated Load

Zheng Xiao-jing¹,
Zhou You-he²

1.
Lanzhou University, Lanzhou;
2.
Huazhong University of Science and Technology, Wuhan

Received Date: 1986-07-23
Publish Date: 1987-08-15

Abstract

Abstract

In this paper, we have got a procedure of the recurrence formulas of analytical solution of iteration on solving the large deflection problem of circular plate under a concentrated load by computer. By researching convergence of the method, we have got a convergent upper bound value about load p, which is a useful criterion for analytical-computerized method.

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References(4)

References

[1]	叶开沅、顾淑贤,均布载荷作用下圆底扁球壳的非线性稳定性,《1980年全国计算力学会议文集梦,北京大学出版社(1980), 280-287.
[2]	Keller,H.B.and E.L.Reiss,lterative solutions for the nonlinear bending of circular plates,Comm.Pure Appl.Math.11(1958),273-292.
[3]	Yeh Kai-yuan,Zheng Xiao-jing and Zhou You-he,An analytical formula of exact solution to Kármán's equations of circular plate under a concentrated load,Proc.ICNM.Shanghai,Science Press,Beijing,China (1985),386-391.
[4]	钱伟长、叶开沅,圆薄板大挠度问题,物理学报,10,3 (1954), 209-238