Exact solutions for thermal post-buckling of shear deformable beams

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	Exact solutions for thermal post-buckling of shear deformable beams
	Ma, Lian-Sheng; Gu, Chun-Long
	2012-02-01
发表期刊	Gongcheng Lixue/Engineering Mechanics
ISSN	10004750
卷号	29 期号:2 页码:172-176+191
摘要	An exact and closed form solution is obtained for the nonlinear static responses of beams subjected to uniform in-plane thermal loading. The equations governing the axial and transverse deformations of FGM beams are derived based on the nonlinear first-order shear deformation beam theory (FBT). The three equations are reduced to a single nonlinear fourth-order integral-differential equation governing the transverse deformations. The equation and the corresponding boundary conditions lead to differential eigenvalue problem. The nonlinear equation is directly solved without any approximation and a closed-form solution for thermal post-buckling deformation is obtained as a function of the applied thermal load. By using the solution, one can obtain the analytical relation of critical buckling load between the shear deformable beams and the classical ones. To demonstrate the influence of in-plane loading, as well as transverse shear deformation and boundary conditions, numerical examples based on the exact solutions are presented, and the post-buckling responses of the beams are discussed. The exact solutions obtained herein can be served as benchmarks to verify and improve various approximate theories and numerical methods.
关键词	Beams and girders Boundary conditions Eigenvalues and eigenfunctions Nonlinear equations Numerical methods Plates (structural components) Shear deformation Thermal load Beam Beam theories Exact solution Postbuckling Thermal loadings
收录类别	EI
语种	中文
出版者	Tsinghua University
EI入藏号	20121014841852
EI主题词	Buckling
EI分类号	408.2 Structural Members and Shapes - 921.6 Numerical Methods
来源库	Compendex
分类代码	408.2 Structural Members and Shapes - 921.6 Numerical Methods
文献类型	期刊论文
条目标识符	https://ir.lut.edu.cn/handle/2XXMBERH/110987
专题	理学院
作者单位	School of Science, Lanzhou University of Technology, Lanzhou 730050, China
第一作者单位	兰州理工大学
第一作者的第一单位	兰州理工大学
推荐引用方式 GB/T 7714	Ma, Lian-Sheng,Gu, Chun-Long. Exact solutions for thermal post-buckling of shear deformable beams[J]. Gongcheng Lixue/Engineering Mechanics,2012,29(2):172-176+191.
APA	Ma, Lian-Sheng,&Gu, Chun-Long.(2012).Exact solutions for thermal post-buckling of shear deformable beams.Gongcheng Lixue/Engineering Mechanics,29(2),172-176+191.
MLA	Ma, Lian-Sheng,et al."Exact solutions for thermal post-buckling of shear deformable beams".Gongcheng Lixue/Engineering Mechanics 29.2(2012):172-176+191.