Vibration and Stability of Hybrid Plate Based on Elasticity Theory

LÜHe-xiang; LI Jun-yong

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LÜHe-xiang, LI Jun-yong. Vibration and Stability of Hybrid Plate Based on Elasticity Theory[J]. Applied Mathematics and Mechanics, 2009, 30(4): 388-398.

Citation:

LÜHe-xiang, LI Jun-yong. Vibration and Stability of Hybrid Plate Based on Elasticity Theory[J]. Applied Mathematics and Mechanics, 2009, 30(4): 388-398.

Citation:

LÜHe-xiang, LI Jun-yong. Vibration and Stability of Hybrid Plate Based on Elasticity Theory[J]. Applied Mathematics and Mechanics, 2009, 30(4): 388-398.

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Vibration and Stability of Hybrid Plate Based on Elasticity Theory

State Key Laboratory of Structural Analysis of Industrial Equipment, Dalian University of Technology, Dalian, Liaoning 116023, P. R. China

Received Date: 2008-02-20
Rev Recd Date: 2009-02-27
Publish Date: 2009-04-15

Abstract

Abstract

The governing equations of elasticity theory for natural vibration and buckling of anisotropic plate were derived from Hellinger-Reissner's variational principle with nonlinear strain-displacement relations.Simply supported rectangular hybrid plates were studied by precise integration method.This method,in contrast to the traditional finite difference approximation,gives highly precise numerical results which approach the full computer precision.So the results for natural vibration and stability of hybrid plates presented can be regarded as approximate analytical solutions.Furthermore,the several types of coupling effects,such as coupling between bending and twisting,coupling between extension and bending,etc.when the layer stacking sequence is not symmetric,are considered by only one set of governing equations.
- vibration,
- buckling,
- precise integration method,
- hybrid plate,
- state space

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References(34)

References

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