Bending Problem of Rectangular Plates of UnidirectionalNonhomogeneity and Variable Thickness with Two Opposite Edges Simply Supported underArbitrary Distributed Loads

Yeh Kai-yuan; Wang Ying-bang

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Yeh Kai-yuan, Wang Ying-bang. Bending Problem of Rectangular Plates of UnidirectionalNonhomogeneity and Variable Thickness with Two Opposite Edges Simply Supported underArbitrary Distributed Loads[J]. Applied Mathematics and Mechanics, 1986, 7(10): 887-895.

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Bending Problem of Rectangular Plates of UnidirectionalNonhomogeneity and Variable Thickness with Two Opposite Edges Simply Supported underArbitrary Distributed Loads

Lgnzhou University, Lanzhou

Received Date: 1986-01-23
Publish Date: 1986-10-15

Abstract

Abstract

Using the step reduction method^[1,2] suggested by the first author of this paper, we investigate the problem indicated in the title and obtain the stepped approximate solutions. As an example, the case of a square plate of linearly varying thickness with four edges simply supported under linearly distributed loads is calculated. The obtained results agree well with those given in [3] and thus the exactness of the new method is verified.

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References(3)

References

[1]	叶开沅、许剑云,非均匀变厚度弹性体力学若干问题的一般解 I.在非均匀定常温度场下的非均匀变厚度高速度旋转圆盘的弹塑性应力分析,兰州大学学报(自然科学版),力学专号,1(1979),60-74;力学学报,专号(1981),7B-89;在第十六届ICTAM上宣读,Toronto(1980).
[2]	叶开沅、郭建虎,同上I.在任意定常温度场和任意分布载荷下的任意轴对称非均匀变厚度环形板的弯曲.兰州大学学报(自然科学版),力学专号,1(1979),75-114,
[3]	Timoshenko,S,and S,Woinowsky-Krieger,Theorp of Plates and Shells,McGraw-Hill Book Company.Inc.,New York(1959).