On the Bending, Vibration and Stability of Laminated Rectangular Plates With Transversely Isotropic Layers

DING Hao-jiang; CHEN Wei-qiu; XU Rong-qiao

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Article Navigation > Applied Mathematics and Mechanics > 2001 > 22(1): 16-22

DING Hao-jiang, CHEN Wei-qiu, XU Rong-qiao. On the Bending, Vibration and Stability of Laminated Rectangular Plates With Transversely Isotropic Layers[J]. Applied Mathematics and Mechanics, 2001, 22(1): 16-22.

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On the Bending, Vibration and Stability of Laminated Rectangular Plates With Transversely Isotropic Layers

Department of Civil Engineering, Zhejiang University, Hangzhou 310027, P R China

Received Date: 1999-11-23
Rev Recd Date: 2000-10-13
Publish Date: 2001-01-15

Abstract

Abstract

A method based on newly presented state space formulations is developed for analyzing the bending,vibration and stability of laminated transversely isotropic rectangular plates with simply supported edges.By introducing two displacement functions and two stress functions,two independent state equations were constructed based on the three-dimensional elasticity equations for transverse isotropy.The original differential equations are thus decoupled with the order reduced that will facilitate obtaining solutions of various problems.For the simply supported rectangular plate,two relations between the state variables at the top and bottom surfaces were established.In particular,for the free vibration(stability)problem,it is found that there exist two independent classes:One corresponds to the pure in-plane vibration(stability)and the other to the general bending vibration(stability).Numerical examples are finally presented and the effects of some parameters are discussed.
- transverse isotropy,
- rectangular plate,
- state space method

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References(6)

References

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