Stability and vibration behavior of FGM beams under hygro-thermal-mechanical-elastic loads

doi:10.6052/j.issn.1000-4750.2018.08.0443

CORC > 兰州理工大学 > 兰州理工大学 > 土木工程学院

	Stability and vibration behavior of FGM beams under hygro-thermal-mechanical-elastic loads
	Pu, Yu 1,2; Zhou, Feng-Xi 1
刊名	Gongcheng Lixue/Engineering Mechanics
	2019-09-01
卷号	36 期号:9 页码:32-39
关键词	Beams and girders Buckling Functionally graded materials Natural frequencies Critical buckling loads Exact solution Functionally graded material (FGM) Generalized beam theories Length-to-thickness ratio Pasternak elastic foundations Stability and vibrations Transverse displacements
ISSN号	10004750
DOI	10.6052/j.issn.1000-4750.2018.08.0443
英文摘要	The stability and vibration behavior of functionally graded material (FGM) beams resting on a Winkler-Pasternak elastic foundation under the action of initial axial mechanical load considering the hygro-thermal environment is investigated. Three hygro-thermal distributions through the thickness of the beams are assumed. The material properties are temperature-dependent and are distributed according to the Voigt mixture power law model. An n-th order generalized beam theory is proposed. The governing equations of buckling and free vibration are derived from the Hamilton's principle, in which the fundamental unknown functions are the axial displacement, bending and shear components of the transverse displacement. Applying the Navier method, the analytical solutions of the buckling and free vibration responses of FGM simply supported beams are obtained. The availability and accuracy of the n-th order generalized beam theory are tested and discussed through several numerical examples. The results show that it refines the beam theories and can be used as a benchmark to verify or modify other shear deformation beam theories. The effects of three types of hygro-thermal distribution, moisture and temperature rise, initial axial mechanical load, length-to-thickness ratio, elastic foundation stiffness and material graded index on the stability and vibration behavior of FGM beams are analyzed. © 2019, 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/114290]
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, Feng-Xi. Stability and vibration behavior of FGM beams under hygro-thermal-mechanical-elastic loads[J]. Gongcheng Lixue/Engineering Mechanics,2019,36(9):32-39.
APA	Pu, Yu,&Zhou, Feng-Xi.(2019).Stability and vibration behavior of FGM beams under hygro-thermal-mechanical-elastic loads.Gongcheng Lixue/Engineering Mechanics,36(9),32-39.
MLA	Pu, Yu,et al."Stability and vibration behavior of FGM beams under hygro-thermal-mechanical-elastic loads".Gongcheng Lixue/Engineering Mechanics 36.9(2019):32-39.