An Exact Solution for the Bending of Point-Supported Orthotropic Rectangular Thin Plates

Jiang Zhi-qing; Liu Jin-xi

Volume 13 Issue 6

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Abstract

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Article Navigation > Applied Mathematics and Mechanics > 1992 > 13(6): 529-538

Jiang Zhi-qing, Liu Jin-xi. An Exact Solution for the Bending of Point-Supported Orthotropic Rectangular Thin Plates[J]. Applied Mathematics and Mechanics, 1992, 13(6): 529-538.

Citation:

Jiang Zhi-qing, Liu Jin-xi. An Exact Solution for the Bending of Point-Supported Orthotropic Rectangular Thin Plates[J]. Applied Mathematics and Mechanics, 1992, 13(6): 529-538.

Citation:

Jiang Zhi-qing, Liu Jin-xi. An Exact Solution for the Bending of Point-Supported Orthotropic Rectangular Thin Plates[J]. Applied Mathematics and Mechanics, 1992, 13(6): 529-538.

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An Exact Solution for the Bending of Point-Supported Orthotropic Rectangular Thin Plates

Shijiazhuang Railway Insiituie, Shijiazhuang

Received Date: 1991-03-27
Publish Date: 1992-06-15

Abstract

Abstract

A closed series solution is proposed for the bending of point-supported orthotropic rectangular thin plates.The positions of support points and the distribution of transverse loadare arbitrary.If the number of simply supported points gradually increases the solution can infinitely approach to Navier's solution.For the square plate simply supported on the middle of each edge and free at each corner,the results are very close to the numerical solutions in the past.
- exact solution,
- point supports,
- orthotropic rectangular thin plate

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References(5)

References

[1]	Thorne,C.J,,Square plates fixed at points,ASME Journal of Applied Mechanics,15(1948),420-425.
[2]	Yoshiki,M.,and T.Kawai,On the method of applicati0n of energy principles to problems of elastic plates,Proceedings of Eleventh International Congress of Applied Mechanics,Munich(1966),461-468.
[3]	Rajaiah,K.and A.K.Rao,Collocation solution for point-supported square plates,ASME Journal of Applied Mechanics,45(1978),424-425.
[4]	吴兹潜、张佑敏、范寿昌,《结构分析的样条有限条法》,广东科学技术出版社(1986).
[5]	Timoshenko,S.and S.Woinowsky-Krieger,Theory of Plates and Shells,2nd ed.,McGraw-Hill,New York(1959).

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