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

IR > 理学院

	Free vibration of FGM beams based on the first-order shear deformation theory by a modified generalized differential quadrature method
	Pu, Yu 1; Teng, Zhaochun2
	2018-08-28
发表期刊	Zhendong yu Chongji/Journal of Vibration and Shock
ISSN	10003835
卷号	37 期号:16 页码:212-218
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.
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
DOI	10.13465/j.cnki.jvs.2018.16.031
收录类别	EI
语种	中文
出版者	Chinese Vibration Engineering Society
EI入藏号	20184105916200
EI主题词	Boundary conditions
EI分类号	408.2 Structural Members and Shapes - 921.2 Calculus
来源库	Compendex
分类代码	408.2 Structural Members and Shapes - 921.2 Calculus
引用统计	无
文献类型	期刊论文
条目标识符	https://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.