Nonlinear Bendings of Rectangular Symmetrically Laminated Cross-Ply Plates under Various Supports

Zhou Ci-qing

Volume 6 Issue 9

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Article Navigation > Applied Mathematics and Mechanics > 1985 > 6(9): 819-832

Zhou Ci-qing. Nonlinear Bendings of Rectangular Symmetrically Laminated Cross-Ply Plates under Various Supports[J]. Applied Mathematics and Mechanics, 1985, 6(9): 819-832.

Citation:

Zhou Ci-qing. Nonlinear Bendings of Rectangular Symmetrically Laminated Cross-Ply Plates under Various Supports[J]. Applied Mathematics and Mechanics, 1985, 6(9): 819-832.

Citation:

Zhou Ci-qing. Nonlinear Bendings of Rectangular Symmetrically Laminated Cross-Ply Plates under Various Supports[J]. Applied Mathematics and Mechanics, 1985, 6(9): 819-832.

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Nonlinear Bendings of Rectangular Symmetrically Laminated Cross-Ply Plates under Various Supports

Zhou Ci-qing

South China Institute of Technology, Guangzhou

Received Date: 1984-02-21
Publish Date: 1985-09-15

Abstract

Abstract

This paper studies the nonlinear bendings of rectangular symmetrically laminated cross-ply plates subjected to uniform pressure under various supports on the basis of^[3] by the singular perturbation method offered in^[1]. The uniformly valid N-order asymptotic solutions of the deflection and stress function are derived. Analyses and numerical solutions are given for simply supported rectangular laminates, whase edge displacement is vanished.

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References(7)

References

[1]	江福汝,关于椭圆型方程的奇摄动,复旦学报(自然科学报),2(1978), 29-37.
[2]	江福汝,环形和回形薄板在各种支承条件下的非对称非线性弯曲问题,应用数学和力学,3,5.(1982),629-640.
[3]	周次青,正交各向异性矩形薄板的非线性弯曲,应用数学和力学,5, 3(1984), 419-436.
[4]	Levy, Samuel, Large deflection theory for rectangular plates, Proc.Symposia Appl.Math., 1(1949), 197.
[5]	Zaghloul S.A.and J.B.Kennedy, Nonlinear behaviour of symmetrically laminated plates, J Appl.Mech, 42, 1(1975), 234-236.
[6]	Timoshenko, S and S.Woinowsky-Krieger, Theory of Plates and Shells, McGraw-Hill Book Company.Inc.(1959).
[7]	Jones.R.M., Mechanics of Composite Materials, Scripta Book Co., Washington, D.C., McGraw-Hill, New York, (1975).