Reciprocal Theorem Method for Solving the Problems of Bending of Thick Rectangular Plates

Fu Bao-lian; Tan Wen-feng

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Article Navigation > Applied Mathematics and Mechanics > 1995 > 16(4): 367-379

Fu Bao-lian, Tan Wen-feng. Reciprocal Theorem Method for Solving the Problems of Bending of Thick Rectangular Plates[J]. Applied Mathematics and Mechanics, 1995, 16(4): 367-379.

Citation:

Fu Bao-lian, Tan Wen-feng. Reciprocal Theorem Method for Solving the Problems of Bending of Thick Rectangular Plates[J]. Applied Mathematics and Mechanics, 1995, 16(4): 367-379.

Citation:

Fu Bao-lian, Tan Wen-feng. Reciprocal Theorem Method for Solving the Problems of Bending of Thick Rectangular Plates[J]. Applied Mathematics and Mechanics, 1995, 16(4): 367-379.

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Reciprocal Theorem Method for Solving the Problems of Bending of Thick Rectangular Plates

Yanshan University, Qinhuangdao, 066004

Received Date: 1994-05-20
Publish Date: 1995-04-15

Abstract

Abstract

In this paper,reciprocal theorem method(RTM) is generalized to solve theof bending of thick rectangular plates based on Reissner's theory.First,the paper gives the basic solution of the bending of thick rectangular platesand then the exact analytical solution of the bending of thick rectangular plate with three clamped edges and one free edge under umiformly distributed load is found by RTM, finally, we analyze numerical results of the solution.
- reciprocal theorem method,
- basic solution,
- bending of thickrectangular plate,
- Reissner’s theory

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References(5)

References

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[3]	Reissner, E., The effect of transverse shear deformation on the bending of elastic plates, Journal Applied Mechanics, 12, June(1945), 69-77.
[4]	程昌钧、杨晓,三边夹紧一边自由的矩形厚板的弯曲,应用数学和力学,11(6)(1990), 505-520.
[5]	Salerno, V. L. and A. Goldberg, Effect of shear deformation on bending of rectangular plates, J. Appl. Mech., 27, March(1960), 54-58.