Nonlinear Vibration for the Moderate Thickness Rectangular Cracked Plates Including the Coupled Effect of Elastic Foundation

XIAO Yong-gang; FU Yi-ming; ZHA Xu-dong

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Article Navigation > Applied Mathematics and Mechanics > 2005 > 26(8): 883-891

XIAO Yong-gang, FU Yi-ming, ZHA Xu-dong. Nonlinear Vibration for the Moderate Thickness Rectangular Cracked Plates Including the Coupled Effect of Elastic Foundation[J]. Applied Mathematics and Mechanics, 2005, 26(8): 883-891.

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Nonlinear Vibration for the Moderate Thickness Rectangular Cracked Plates Including the Coupled Effect of Elastic Foundation

1.
Department of Engineering Mechanics, Hunan University, Changsha 410082, P. R. China;

Received Date: 2004-07-07
Rev Recd Date: 2005-03-18
Publish Date: 2005-08-15

Abstract

Abstract

Based on Reissner plate theory and Hamilton variational principle, the nonlinear equations of motion were derived for the moderate thickness rectangular plates with transverse surface penetrating crack on the two-parameter foundation. Under the condition of free boundary, aset of trial functions satisfying all boundary conditions and crack's continuous conditions were proposed. By employing the Galerkin method and the harmonic balance method, the nonlinear vibration equations were solved and the nonlinear vibration behaviors of the plate were analyzed. In numerical computation, the effects of the different location and depth of crack, the different structural parameters of plates and the different physical parameters of foundation on the nonlinear amplitue frequency response curves of the plate were discussed.
- moderate thickness rectangular plate,
- elastic foundation,
- crack,
- nonlinear vibration

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References(10)

References

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