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

doi:10.13465/j.cnki.jvs.2016.17.010

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	In-plane free vibration of FGM rectangular plates with 4 elastically restrained edges using differential quadrature method
	Pu, Yu 2; Zhao, Haiying 2; Teng, Zhaochun 1
刊名	Zhendong yu Chongji/Journal of Vibration and Shock
	2016-09-15
卷号	35 期号:17 页码:58-65
关键词	Boundary conditions Differentiation (calculus) Geometry Orthotropic plates Partial differential equations Stiffness Differential quadrature methods Dimensionless frequency Elastically restrained edges Free vibration Isotropic rectangular plates Power law distribution Rectangular plates Stiffness coefficients
ISSN号	10003835
DOI	10.13465/j.cnki.jvs.2016.17.010
英文摘要	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.
语种	中文
出版者	Chinese Vibration Engineering Society
内容类型	期刊论文
源URL	[http://ir.lut.edu.cn/handle/2XXMBERH/112609]
专题	理学院
作者单位	1.Department of Engineering Mechanics, School of Science, Lanzhou University of Technology, Lanzhou; 730050, China 2.College of Civil Engineering, Lanzhou Institute of Technology, Lanzhou; 730050, China;
推荐引用方式 GB/T 7714	Pu, Yu,Zhao, Haiying,Teng, Zhaochun. In-plane free vibration of FGM rectangular plates with 4 elastically restrained edges using differential quadrature method[J]. Zhendong yu Chongji/Journal of Vibration and Shock,2016,35(17):58-65.
APA	Pu, Yu,Zhao, Haiying,&Teng, Zhaochun.(2016).In-plane free vibration of FGM rectangular plates with 4 elastically restrained edges using differential quadrature method.Zhendong yu Chongji/Journal of Vibration and Shock,35(17),58-65.
MLA	Pu, Yu,et al."In-plane free vibration of FGM rectangular plates with 4 elastically restrained edges using differential quadrature method".Zhendong yu Chongji/Journal of Vibration and Shock 35.17(2016):58-65.