Perturbation Analysis for the Postbucfcling of Rectangular Orthotropic Plates

Shen Hui-shen

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Shen Hui-shen. Perturbation Analysis for the Postbucfcling of Rectangular Orthotropic Plates[J]. Applied Mathematics and Mechanics, 1989, 10(4): 359-370.

Citation:

Shen Hui-shen. Perturbation Analysis for the Postbucfcling of Rectangular Orthotropic Plates[J]. Applied Mathematics and Mechanics, 1989, 10(4): 359-370.

Citation:

Shen Hui-shen. Perturbation Analysis for the Postbucfcling of Rectangular Orthotropic Plates[J]. Applied Mathematics and Mechanics, 1989, 10(4): 359-370.

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Perturbation Analysis for the Postbucfcling of Rectangular Orthotropic Plates

Shen Hui-shen

Shanghai Jiaotong University, Shanghai

Received Date: 1987-04-27
Publish Date: 1989-04-15

Abstract

Abstract

In this paper, applying perturbation method to von Karman-type nonlinear large deflection equations of orthotropic plates by taking deflection as perturbation parameter, the postbuckling behavior of simply supported rectangular orthotropic plates under in-plane compression is investigated.Two types of in-plane boundary conditions are now considered and the effects of initial imperfections are also studied.Numerical results are presented for various cases of orthotropic composite plates having different elastic properties.It is found that the results obtained are in good agreement with those of experiments.

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References(9)

References

[1]	Yusuff,S.,Large deflection theory for orthotropic rectangular plates subjected to edge compression,J, Appl, Mech.,18 (1952),446-450.
[2]	Prab hakara,M, K, arid C, Y, Chia, Post-buckling behavior of rectangular ortho-tropic plates, J, Mech, Eng, Sci.,15 (1973),25-33.
[3]	Chan, D. P.,An analytical study of the postbuckling of laminated, anisotropic plates, Ph. D, thesis, Case Western Reserve University (1970).
[4]	Chandra, R.and B, B, Raju,Postbuckling analysis of rectangular orthotropic plates, Int, J, Mech, Sci 15 (1973), 81-97.
[5]	Stein,M.,Loads and deformations of buckled rectangular plates,NASA TR R-40(1969).
[6]	Bank,W.M.,The postbuckling behavior of composite panels, Proc 1975 Int.Conf.on Composite Materiels; ICCM,2 (1976),272-293.
[7]	Bank, W, M.,J, M, Harvey and J, Rhodes, The non-linear behavior of composite panels with alternative membrane boundary conditions on the unloaded edges, Proc,2nd Int, Conf.on Composite Materials (1978),316-338.
[8]	Bank,W.M.Eaperiment study of the non-linear behavior of composite panels Advances in Composite Materials, ICCM/3,1(1980),372-386.
[9]	沈惠申,张建武,单向压缩简支矩形板后屈曲摄动分析,应用数学和力学,9, 8 (1388),741-752.