Thermal post-buckling of functionally graded material Timoshenko beams | |
Li, Shi-Rong; Zhang, Jing-Hua![]() | |
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. |
条目包含的文件 | 条目无相关文件。 |
除非特别说明,本系统中所有内容都受版权保护,并保留所有权利。
修改评论