Free vibration of FGM beams based on the first-order shear deformation theory by a modified generalized differential quadrature method

doi:10.13465/j.cnki.jvs.2018.16.031

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	Free vibration of FGM beams based on the first-order shear deformation theory by a modified generalized differential quadrature method
	Pu, Yu 1; Teng, Zhaochun 2
刊名	Zhendong yu Chongji/Journal of Vibration and Shock
	2018-08-28
卷号	37 期号:16 页码:212-218
关键词	Beams and girders Differentiation (calculus) Functionally graded materials Natural frequencies Plates (structural components) Shear deformation FGM beams First order shear deformations First-order shear deformation theory Free vibration Functionally graded material (FGM) GDQ method Generalized differential quadrature methods Governing differential equations
ISSN号	10003835
DOI	10.13465/j.cnki.jvs.2018.16.031
英文摘要	Based on the first-order shear deformation beam theory (FSBT), the governing differential equations for free vibration of functionally graded material (FGM) beams were obtained, in which the unknown functions are axial displacement, deflection and rotation angle. By introducing boundary condition coefficients and applying a modified generalized differential quadrature (GDQ) method, we investigated the natural frequencies for free vibration of FGM beams under four boundary conditions. The formulations' availability and accuracy were demonstrated by comparing them with results available in the existing literature. Then the effects of the boundary conditions, material graded index, and length-to-thickness ratio on the FGM beams' natural frequency parameters were analyzed. © 2018, 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/114444]
专题	理学院
作者单位	1.College of Civil Engineering, Lanzhou Institute of Technology, Lanzhou; 730050, China; 2.School of Science, Lanzhou University of Technology, Lanzhou; 730050, China
推荐引用方式 GB/T 7714	Pu, Yu,Teng, Zhaochun. Free vibration of FGM beams based on the first-order shear deformation theory by a modified generalized differential quadrature method[J]. Zhendong yu Chongji/Journal of Vibration and Shock,2018,37(16):212-218.
APA	Pu, Yu,&Teng, Zhaochun.(2018).Free vibration of FGM beams based on the first-order shear deformation theory by a modified generalized differential quadrature method.Zhendong yu Chongji/Journal of Vibration and Shock,37(16),212-218.
MLA	Pu, Yu,et al."Free vibration of FGM beams based on the first-order shear deformation theory by a modified generalized differential quadrature method".Zhendong yu Chongji/Journal of Vibration and Shock 37.16(2018):212-218.