Nonlinear static responses of fgm beams under non-uniform thermal loading

doi:10.6052/j.issn.1000-4750.2015.10.0868

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	Nonlinear static responses of fgm beams under non-uniform thermal loading
	Mao, Li-Juan 1,2; Ma, Lian-Sheng 1,2
刊名	Gongcheng Lixue/Engineering Mechanics
	2017-06-01
卷号	34 期号:6 页码:1-8
关键词	Beams and girders Boundary conditions Deformation Eigenvalues and eigenfunctions Functionally graded materials Thermal load Thermal stress Exact solution Functionally graded material (FGM) Inhomogeneous boundary conditions Integral-differential equations Multi-solutions Physical neutral surfaces Static response Thermal loadings
ISSN号	10004750
DOI	10.6052/j.issn.1000-4750.2015.10.0868
英文摘要	Due to the variation in material properties through the thickness of functionally graded material (FGM) structures, an FGM beam simply supported at both ends exhibits characteristics quite different from those of a FGM beam clamped at both ends. An exact, closed form solution is obtained for nonlinear static responses of FGM beams subjected to non-uniform in-plane thermal loadings. The equations governing the axial and transverse deformations of FGM beams are derived based on the nonlinear classical beam theory and the physical neutral surface concept. The two equations are reduced to a single nonlinear fourth-order integral-differential equation governing the transverse deformation. For an FGM beam clamped at both ends, the equation and the corresponding boundary conditions lead to a differential eigenvalue problem, whereas for an FGM beam simply supported at both ends, an eigenvalue problem does not arise due to the inhomogeneous boundary conditions. This consequently results in quite different behavior between a clamped and a simply supported FGM beams. The nonlinear equation is directly solved without any use of approximation and a closed-form solution for thermal bending deformation is obtained as a function of the applied thermal load. By using the exact solutions, the nonlinear deformation problems for buckling, postbuckling and nonlinear bending of the beam can be investigated. Finally, the numerical analyses are carried out to investigate the effects of material gradient properties and thermal loads on the nonlinear static responses of FGM beams. © 2017, 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/114682]
专题	理学院
作者单位	1.School of Science, Lanzhou University of Technology, Lanzhou; 730050, China; 2.State Key Laboratory for Strength and Vibration of Mechanical Structures, Xi'an Jiaotong University, Xi'an; 710049, China
推荐引用方式 GB/T 7714	Mao, Li-Juan,Ma, Lian-Sheng. Nonlinear static responses of fgm beams under non-uniform thermal loading[J]. Gongcheng Lixue/Engineering Mechanics,2017,34(6):1-8.
APA	Mao, Li-Juan,&Ma, Lian-Sheng.(2017).Nonlinear static responses of fgm beams under non-uniform thermal loading.Gongcheng Lixue/Engineering Mechanics,34(6),1-8.
MLA	Mao, Li-Juan,et al."Nonlinear static responses of fgm beams under non-uniform thermal loading".Gongcheng Lixue/Engineering Mechanics 34.6(2017):1-8.