Two-dimensional elasticity solutions for free vibration of FGM beams resting on Winkler-Pasternak elastic foundations

doi:10.13465/j.cnki.jvs.2015.20.013

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	Two-dimensional elasticity solutions for free vibration of FGM beams resting on Winkler-Pasternak elastic foundations
	Pu, Yu 2; Teng, Zhao-Chun 1
刊名	Zhendong yu Chongji/Journal of Vibration and Shock
	2015-10-28
卷号	34 期号:20 页码:74-79
关键词	Beams and girders Boundary conditions Differentiation (calculus) Elasticity Functionally graded materials Different boundary condition Differential quadrature methods Dimensionless frequency Free vibration Length-to-thickness ratio Non-dimensional frequency Pasternak elastic foundations Two-dimensional elasticity
ISSN号	10003835
DOI	10.13465/j.cnki.jvs.2015.20.013
英文摘要	Based on the two-dimension theory of linear elasticity, the free vibration differential equations for FGM beams resting on Winkler-Pasternak elastic foundations were derived. The material properties were supposed to change continuously along the thickness of the beam according to the power law distribution. Using the differential quadrature method (DQM), the dimensionless natural frequencies of FGM beams under four different boundary conditions were investigated. The formulations were validated by comparing the results obtained with those available in the literature for homogeneous beams on Winkler-Pasternak elastic foundations. The influences of the boundary conditions, material graded index, length-to-thickness ratio and elastic coefficients of foundations on the non-dimensional frequency parameters of FGM beams were discussed. ©, 2015, Chinese Vibration Engineering Society. 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/113121]
专题	理学院
作者单位	1.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,Teng, Zhao-Chun. Two-dimensional elasticity solutions for free vibration of FGM beams resting on Winkler-Pasternak elastic foundations[J]. Zhendong yu Chongji/Journal of Vibration and Shock,2015,34(20):74-79.
APA	Pu, Yu,&Teng, Zhao-Chun.(2015).Two-dimensional elasticity solutions for free vibration of FGM beams resting on Winkler-Pasternak elastic foundations.Zhendong yu Chongji/Journal of Vibration and Shock,34(20),74-79.
MLA	Pu, Yu,et al."Two-dimensional elasticity solutions for free vibration of FGM beams resting on Winkler-Pasternak elastic foundations".Zhendong yu Chongji/Journal of Vibration and Shock 34.20(2015):74-79.