Vibration and buckling behaviors of porous FGM beams under thermal-mechanical loads by duality relation

doi:10.6052/j.issn.1000-4750.2019.09.0553

CORC > 兰州理工大学 > 兰州理工大学 > 土木工程学院

	Vibration and buckling behaviors of porous FGM beams under thermal-mechanical loads by duality relation
	Pu, Yu 1,2; Zhou, Feng-Xi 2; Ren, Yong-Zhong 1; Liu, Jun 1
刊名	Gongcheng Lixue/Engineering Mechanics
	2020-08-01
卷号	37 期号:8 页码:10-19
关键词	Beams and girders Boundary conditions Buckling Computation theory Functionally graded materials Hamiltonians Porosity Computational procedures Different boundary condition Functionally graded material (FGM) Generalized beam theories Generalized differential quadrature Porosity distributions Static and dynamic behaviors Thermal-mechanical load
ISSN号	10004750
DOI	10.6052/j.issn.1000-4750.2019.09.0553
英文摘要	A modified generalized differential quadrature (MGDQ) method is utilized to investigate the coupling vibration and buckling characteristics of functionally graded material (FGM) beams with even porosity distribution in thermal environment and under the action of an initial axial mechanical force. Various types of temperature distributions are considered through the thickness direction, and the material properties are temperature-dependent according to modified Voigt mixture power-law model with porosity. Using an n-th order generalized beam theory (GBT), the free vibration and buckling governing equations for this system are derived by Hamiltonian principle as a unity. The control parameters for three different boundary conditions are proposed, and the MGDQ method can be utilized to solve the coupling vibration response with MATLAB computational procedure. Based on the duality between the static and dynamic behaviors of the structure, the buckling responses are obtained by writing loop subprogram, which can greatly simplify decoupling process and improve calculation efficiency. The effects of various beam theories, boundary conditions, different types of temperature rise, initial axial force, thermal-mechanical loads, porosity, material graded index and slenderness ratios on the vibration and buckling behaviors of FGM beams are discussed, and the significant duality for the two different mechanical behaviors of the structure are also revealed by several numerical examples. © 2020, Engineering Mechanics Press. All right reserved.
语种	中文
出版者	Tsinghua University
内容类型	期刊论文
源URL	[http://ir.lut.edu.cn/handle/2XXMBERH/150993]
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, Feng-Xi,Ren, Yong-Zhong,et al. Vibration and buckling behaviors of porous FGM beams under thermal-mechanical loads by duality relation[J]. Gongcheng Lixue/Engineering Mechanics,2020,37(8):10-19.
APA	Pu, Yu,Zhou, Feng-Xi,Ren, Yong-Zhong,&Liu, Jun.(2020).Vibration and buckling behaviors of porous FGM beams under thermal-mechanical loads by duality relation.Gongcheng Lixue/Engineering Mechanics,37(8),10-19.
MLA	Pu, Yu,et al."Vibration and buckling behaviors of porous FGM beams under thermal-mechanical loads by duality relation".Gongcheng Lixue/Engineering Mechanics 37.8(2020):10-19.