Vibration characteristics of FGM beams under the action of initial axial load based on a n-th generalized shear beam theory

doi:10.13465/j.cnki.jvs.2020.02.015

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	Vibration characteristics of FGM beams under the action of initial axial load based on a n-th generalized shear beam theory
	Pu, Yu 1,2; Zhou, Fengxi 2
刊名	Zhendong yu Chongji/Journal of Vibration and Shock
	2020-01-28
卷号	39 期号:2 页码:100-106
关键词	Axial loads Boundary conditions Functionally graded materials Natural frequencies Numerical methods Shear deformation Beams on elastic foundation Functional gradient material Functionally graded material (FGM) Generalized differential quadrature Initial axial loads Length-to-thickness ratio Shear beams Static and dynamic response
ISSN号	10003835
DOI	10.13465/j.cnki.jvs.2020.02.015
英文摘要	The vibration behavior of functional gradient material(FGM) beams on elastic foundation under the action of initial axial load was investigated. Based on an extended n-th generalized shear deformation beam theory and applying Hamilton's principle, the free vibration governing equations of the mechanical model for the system was developed, in which the unknown basic functions are the axial displacement, shear and bending components of deflection. Introducing boundary condition coefficients and applying a modified generalized differential quadrature(MGDQ) method, the static and dynamic responses of FGM beams were obtained. The availability and accuracy of the extended theory and the method were verified through numerical examples and herein the ideal value of n was proposed. The study refines the beam theories and the result can be used as a benchmark to verify or modify other various shear deformation beam theories. The numerical solution by using MGDQ was validated and the process can expand its applicable scope. The effects of the initial axial load, boundary conditions, material graded index, elastic foundation stiffness, and length-to-thickness ratio on the vibration characteristics of FGM beams were mainly analyzed. © 2020, 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/115464]
专题	土木工程学院
作者单位	1.College of Civil Engineering, Lanzhou Institute of Technology, Lanzhou; 730050, China; 2.School of Civil Engineering, Lanzhou University of Technology, Lanzhou; 730050, China
推荐引用方式 GB/T 7714	Pu, Yu,Zhou, Fengxi. Vibration characteristics of FGM beams under the action of initial axial load based on a n-th generalized shear beam theory[J]. Zhendong yu Chongji/Journal of Vibration and Shock,2020,39(2):100-106.
APA	Pu, Yu,&Zhou, Fengxi.(2020).Vibration characteristics of FGM beams under the action of initial axial load based on a n-th generalized shear beam theory.Zhendong yu Chongji/Journal of Vibration and Shock,39(2),100-106.
MLA	Pu, Yu,et al."Vibration characteristics of FGM beams under the action of initial axial load based on a n-th generalized shear beam theory".Zhendong yu Chongji/Journal of Vibration and Shock 39.2(2020):100-106.