Applications of the Reciprocal Theorem to Solving the Equations of the Deflection Surface of the Rectangular Plates with Various Edge Conditions

Fu Bao-lian

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Article Navigation > Applied Mathematics and Mechanics > 1982 > 3(3): 315-325

Fu Bao-lian. Applications of the Reciprocal Theorem to Solving the Equations of the Deflection Surface of the Rectangular Plates with Various Edge Conditions[J]. Applied Mathematics and Mechanics, 1982, 3(3): 315-325.

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Applications of the Reciprocal Theorem to Solving the Equations of the Deflection Surface of the Rectangular Plates with Various Edge Conditions

Fu Bao-lian

Northeast Heavy Machinery Institute, Heilong Jiang

Received Date: 1981-11-10
Publish Date: 1982-06-15

Abstract

Abstract

This paper points out that on certain condition the reciprocal theorem is equivalent to the superposition principle of displacements. On the basis of [6], applications of the reciprocal theorem are further extended; a convenient, general and new method for solving the equations of deflection surface of the rectangular plates and the straight beams with various edge conditions under various loads is pie-sented.

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References(6)

References

[1]	钱伟长,叶开沅,《弹性力学》,科学出版社,(1980,3).
[2]	钱伟长,《变分法及有限元》(上册),科学出版社,(1980)
[3]	张福范,《弹性薄板》,科学出版社,(1963)
[4]	张福范,悬臂矩形板的弯曲,全国弹塑性力学学术交流会论文,(1980,6).
[5]	Timoshenko,S.and Woinowsky-Krieger.S.,Theorg of Plates and Shell,Second Edition.(1959).
[6]	付宝连,求解位移方程的能量原理,应用数学和力学,2,6(1981).