In-plane free vibration analysis for rectangular plates with elastically restrained edges by Differential Quadrature Method

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Journal of Vibration and Shock ›› 2016, Vol. 35 ›› Issue (12) : 55-60.

Pu Yu ，Teng Zhao-chun ，ZHAO Hai-ying

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Abstract

Based on the two-dimension theory of linear elasticity, applied the Hamilton's principle, the in-plane free vibration of governing partial differential equations for rectangular plates with elastically restrained edges are derived. Using differential quadrature method (DQM), the dimensionless frequencies of in-plane free vibration of rectangular plates with elastically restrained edges are investigated. All the classical boundaries for in-plane displacements can be simulated by setting the stiffnesses of the restraining springs to either zero or infinite. The application of DQM in this paper have illustrated the analytical method was validated and accurate by comparison of previously reported results with those available in the literature for rectangular plates. Finally, The influence of the boundary conditions, geometrical parameter, and stiffness coefficients on the dimensionless frequencies of the rectangular plates are investigated.

Key words

rectangular plates / in-plane free vibration / elastically restrained edges / dimensionless frequency / DQM

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Pu Yu,Teng Zhao-chun,ZHAO Hai-ying . In-plane free vibration analysis for rectangular plates with elastically restrained edges by Differential Quadrature Method[J]. Journal of Vibration and Shock, 2016, 35(12): 55-60

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