In-plane free vibration of FGM rectangular plates with 4 elastically restrained edges using differential quadrature method

被引：0
|
作者：
Pu Y. [1 ]
Zhao H. [1 ]
Teng Z. [2 ]
机构：
[1] College of Civil Engineering, Lanzhou Institute of Technology, Lanzhou
[2] Department of Engineering Mechanics, School of Science, Lanzhou University of Technology, Lanzhou
来源：
Zhendong yu Chongji/Journal of Vibration and Shock | 2016年 / 35卷 / 17期
关键词：
Dimensionless frequency; DQM; Elastically restrained edges; FGM rectangular plates; In-plane free vibration;
D O I：
10.13465/j.cnki.jvs.2016.17.010
中图分类号：
学科分类号：
摘要：
The material of rectangular plates was assumed to be orthotropic, and material properties change continuously along the width of a rectangular plate according to power law distributions. Based on the two-dimension theory of linear elasticity, the governing partial differential equations for in-plane free vibration of FGM rectangular plates with 4 elastically restrained edges were derived. The partial differential equations were complicated and coupled with variable coefficients. Using the differential quadrature method, dimensionless frequency characteristics of in-plane free vibration of FGM rectangular plates with 4 elastically restrained edges were investigated. All the typical boundaries for in-plane vibration of isotropic rectangular plates were obtained by setting stiffnesses of restraining springs to be either zero or infinite and taking material gradient index as zero. Then, the results with DQM were compared with those published in literature for isotropic rectangular plates, it was shwon that the proposed DQM is effective. Finally, The influences of boundary conditions, geometrical parameters, material gradient index and stiffness coefficients on the natural frequencies of FGM rectangular plates were analyzed. © 2016, Editorial Office of Journal of Vibration and Shock. All right reserved.
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页码：58 / 65
页数：7
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