Dynamic buckling analysis of functionally graded beam under thermal shock in Hamilton system

doi:10.11883/1001-1455(2017)03-0431-08

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	Dynamic buckling analysis of functionally graded beam under thermal shock in Hamilton system
	Zhang, Jinghua 1; Zhao, Xingxing 1; Li, Shirong 2
刊名	Baozha Yu Chongji/Explosion and Shock Waves
	2017-05-25
卷号	37 期号:3 页码:431-438
关键词	Eigenvalues and eigenfunctions Functionally graded materials Inverse problems Laplace transforms Plates (structural components) Temperature Thermal shock Bifurcation condition Dynamic buckling Euler beam Functionally graded beams Generalized eigenvalues Power law distribution Symplectic methods Transient temperature fields
ISSN号	10011455
DOI	10.11883/1001-1455(2017)03-0431-08
英文摘要	Based on the Euler beam theory, the dynamic buckling of the functionally graded beam subjected to thermal shock was investigated in the Hamilton system. The material properties of the functionally graded beam were assumed to be graded in the thickness direction according to a simple power law distribution in terms of the volume fractions of the constituents. The transient temperature fields were solved analytically using the Laplace transform and power series method. It was shown that the dynamic buckling problem can be reduced to a zero-eigenvalue problem in the symplectic space, the buckling loading and the buckling mode of the FGM beam correspond to the generalized eigenvalue and eigen solution. The buckling mode and the buckling thermal axial forces can be obtained through bifurcation condition, and the buckling temperature rise of the FGM beam can be obtained by inverse solution. In this research, the solution process for dynamic buckling of the FGM beam subjected to thermal shock using the symplectic method were given, and the effects of the material constitution, geometric parameters and the parameters of thermal shock load on the critical temperature were discussed. © 2017, Editorial Board of EXPLOSION AND SHOCK WAVES. All right reserved.
语种	中文
出版者	Explosion and Shock Waves
内容类型	期刊论文
源URL	[http://ir.lut.edu.cn/handle/2XXMBERH/114630]
专题	理学院
作者单位	1.School of Sciences, Lanzhou University of Technology, Lanzhou; Gansu; 730050, China; 2.School of Civil Science and Engineering, Yangzhou University, Yangzhou; Jiangsu; 225127, China
推荐引用方式 GB/T 7714	Zhang, Jinghua,Zhao, Xingxing,Li, Shirong. Dynamic buckling analysis of functionally graded beam under thermal shock in Hamilton system[J]. Baozha Yu Chongji/Explosion and Shock Waves,2017,37(3):431-438.
APA	Zhang, Jinghua,Zhao, Xingxing,&Li, Shirong.(2017).Dynamic buckling analysis of functionally graded beam under thermal shock in Hamilton system.Baozha Yu Chongji/Explosion and Shock Waves,37(3),431-438.
MLA	Zhang, Jinghua,et al."Dynamic buckling analysis of functionally graded beam under thermal shock in Hamilton system".Baozha Yu Chongji/Explosion and Shock Waves 37.3(2017):431-438.