Nonlinear static responses of fgm beams under non-uniform thermal loading | |
Mao, Li-Juan1,2; Ma, Lian-Sheng1,2![]() | |
2017-06-01 | |
发表期刊 | Gongcheng Lixue/Engineering Mechanics
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ISSN | 10004750 |
卷号 | 34期号:6页码:1-8 |
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. |
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 |
DOI | 10.6052/j.issn.1000-4750.2015.10.0868 |
收录类别 | EI |
语种 | 中文 |
出版者 | Tsinghua University |
EI入藏号 | 20173003967857 |
EI主题词 | Nonlinear equations |
EI分类号 | 408.2 Structural Members and Shapes - 931.2 Physical Properties of Gases, Liquids and Solids |
来源库 | Compendex |
分类代码 | 408.2 Structural Members and Shapes - 931.2 Physical Properties of Gases, Liquids and Solids |
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/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 |
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 | 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. |
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