Critical Buckling Loads analysis of FGM Beams by A Modified Generalized Differential Quadrature Method

doi:10.16058/j.issn.1005-0930.2019.06.011

CORC > 兰州理工大学 > 兰州理工大学 > 土木工程学院

	Critical Buckling Loads analysis of FGM Beams by A Modified Generalized Differential Quadrature Method
	Pu, Yu 1,2; Zhou, Fengxi 1
刊名	Yingyong Jichu yu Gongcheng Kexue Xuebao/Journal of Basic Science and Engineering
	2019-12-01
卷号	27 期号:6 页码:1308-1320
关键词	Beams and girders Boundary conditions Buckling Differentiation (calculus) Numerical methods Particle beams Plates (structural components) Potential energy Shear deformation Critical buckling loads First order shear deformations First-order shear deformation theory Functionally graded material (FGM) Functionally graded materials beam Generalized differential quadrature Generalized differential quadrature methods Governing differential equations
ISSN号	10050930
DOI	10.16058/j.issn.1005-0930.2019.06.011
英文摘要	The buckling of functionally graded material (FGM) beams subjected to static axial force was investigated. Firstly, based on the first-order shear deformation beam theory(FSBT), the buckling governing differential equations for FGM Timoshenko beams were derived by the principle of minimun potential energy, in which the basic unknown functions were axial displacement, deflection and rotation angle. Then, introducing boundary condition coefficients defined and applying a modified generalized differential quadrature (MGDQ) method, the buckling behaviors of FGM Timoshenko beams and also Euler ones under four different classical boundary conditions were analyzed. The availability and accuracy of the presented method were verified throughout several numerical examples. Finally, the effects of two types of beam theories, boundary conditions, material gradient indexes, and length-to-thickness ratio on the critical buckling loads were mainly discussed. © 2019, The Editorial Board of Journal of Basic Science and Engineering. All right reserved.
语种	中文
出版者	Editorial Board of Journal of Basic Science and
内容类型	期刊论文
源URL	[http://ir.lut.edu.cn/handle/2XXMBERH/114246]
专题	土木工程学院
作者单位	1.School of Civil Engineering, 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,Zhou, Fengxi. Critical Buckling Loads analysis of FGM Beams by A Modified Generalized Differential Quadrature Method[J]. Yingyong Jichu yu Gongcheng Kexue Xuebao/Journal of Basic Science and Engineering,2019,27(6):1308-1320.
APA	Pu, Yu,&Zhou, Fengxi.(2019).Critical Buckling Loads analysis of FGM Beams by A Modified Generalized Differential Quadrature Method.Yingyong Jichu yu Gongcheng Kexue Xuebao/Journal of Basic Science and Engineering,27(6),1308-1320.
MLA	Pu, Yu,et al."Critical Buckling Loads analysis of FGM Beams by A Modified Generalized Differential Quadrature Method".Yingyong Jichu yu Gongcheng Kexue Xuebao/Journal of Basic Science and Engineering 27.6(2019):1308-1320.