Thermal post-buckling of functionally graded material Timoshenko beams

doi:10.1007/s10483-006-0611-y

IR > 理学院

	Thermal post-buckling of functionally graded material Timoshenko beams
	Li, Shi-Rong; Zhang, Jing-Hua; Zhao, Yong-Gang
	2006-06-01
发表期刊	Applied Mathematics and Mechanics (English Edition)
ISSN	02534827
卷号	27 期号:6 页码:803-810
摘要	Analysis of thermal post-buckling of FGM (Functionally Graded Material) Timoshenko beams subjected to transversely non-uniform temperature rise is presented. By accurately considering the axial extension and transverse shear deformation in the sense of theory of Timoshenko beam, geometrical nonlinear governing equations including seven basic unknown functions for functionally graded beams subjected to mechanical and thermal loads were formulated. In the analysis, it was assumed that the material properties of the beam vary continuously as a power function of the thickness coordinate. By using a shooting method, the obtained nonlinear boundary value problem was numerically solved and thermal buckling and post-buckling response of transversely non-uniformly heated FGM Timoshenko beams with fixed-fixed edges were obtained. Characteristic curves of the buckling deformation of the beam varying with thermal load and the power law index are plotted. The effects of material gradient property on the buckling deformation and critical temperature of beam were discussed in details. The results show that there exists the tension-bend coupling deformation in the uniformly heated beam because of the transversely non-uniform characteristic of materials.
关键词	Beams and girders Boundary value problems Deformation Functionally graded materials Heating Loads (forces) Nonlinear equations Thermal load Fixed-fixed edges Numerical result Shooting method Thermal post-buckling Timoshenko beam
DOI	10.1007/s10483-006-0611-y
收录类别	EI
语种	英语
出版者	Shanghai University
EI入藏号	20063310068226
EI主题词	Buckling
EI分类号	408.2 Structural Members and Shapes - 415 Metals, Plastics, Wood and Other Structural Materials - 421 Strength of Building Materials ; Mechanical Properties - 643.1 Space Heating - 921.1 Algebra - 921.6 Numerical Methods
来源库	Compendex
分类代码	408.2 Structural Members and Shapes - 415 Metals, Plastics, Wood and Other Structural Materials - 421 Strength of Building Materials; Mechanical Properties - 643.1 Space Heating - 921.1 Algebra - 921.6 Numerical Methods
引用统计	无
文献类型	期刊论文
条目标识符	https://ir.lut.edu.cn/handle/2XXMBERH/112007
专题	理学院
作者单位	Department of Engineering Mechanics, 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	Li, Shi-Rong,Zhang, Jing-Hua,Zhao, Yong-Gang. Thermal post-buckling of functionally graded material Timoshenko beams[J]. Applied Mathematics and Mechanics (English Edition),2006,27(6):803-810.
APA	Li, Shi-Rong,Zhang, Jing-Hua,&Zhao, Yong-Gang.(2006).Thermal post-buckling of functionally graded material Timoshenko beams.Applied Mathematics and Mechanics (English Edition),27(6),803-810.
MLA	Li, Shi-Rong,et al."Thermal post-buckling of functionally graded material Timoshenko beams".Applied Mathematics and Mechanics (English Edition) 27.6(2006):803-810.