The Large Deflection on Problem of Circular Plate on Elastic Foundation and in Conjunction with Linear Elastic Structure

Chen Shan-lin; Zhang Li-ying

Volume 7 Issue 4

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Article Navigation > Applied Mathematics and Mechanics > 1986 > 7(4): 325-333

Chen Shan-lin, Zhang Li-ying. The Large Deflection on Problem of Circular Plate on Elastic Foundation and in Conjunction with Linear Elastic Structure[J]. Applied Mathematics and Mechanics, 1986, 7(4): 325-333.

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The Large Deflection on Problem of Circular Plate on Elastic Foundation and in Conjunction with Linear Elastic Structure

Chongqing Institute of Architecture and Engineering, Chongqing;

Received Date: 1985-09-25
Publish Date: 1986-04-15

Abstract

Abstract

This paper deals with the axisymmetrical deformation of the circular plate in large deflection,which is on elastic foundation and in conjunction with a certain linear elastic structure.The governing integral equations are established by the method of mixed boundary condition 1 and the simplified form is given.The pertrubation method is used to obtain the solutions and an example of the composite structure made up of a circular plate and a cylindrical shell is presented.

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References(4)

References

[1]	陈山林、张立英,处理一类线性和非线性组合结构的混合边界条件方法,《第一届东亚结构工程和建筑会议论文集》.泰国曼谷(1986.1).
[2]	钱伟长、叶开沅,圆板的大挠度问题,物理学报,10,3(1954),209-238.
[3]	陈山林,圆板大挠度的钱伟长解及其渐近特性,应用数学和力学,3.4(1982),513-518.
[4]	刘人怀、陈山林,椭球封头中心开孔接管的强度问题,兰州大学科技专刊,1(1973).14-28.

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