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

Zhang Jinghua; Zhao Xingxing; Li Shirong

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

Volume 37 Issue 3

Apr. 2017

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Zhang Jinghua, Zhao Xingxing, Li Shirong. Dynamic buckling analysis of functionally graded beam under thermal shock in Hamilton system[J]. Explosion And Shock Waves, 2017, 37(3): 431-438. doi: 10.11883/1001-1455(2017)03-0431-08

Citation:

Zhang Jinghua, Zhao Xingxing, Li Shirong. Dynamic buckling analysis of functionally graded beam under thermal shock in Hamilton system[J]. Explosion And Shock Waves, 2017, 37(3): 431-438. 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

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

1.
School of Sciences, Lanzhou University of Technology, Lanzhou 730050, Gansu, China
2.
School of Civil Science and Engineering, Yangzhou University, Yangzhou 225127, Jiangsu, China

Received Date: 2015-11-23
Rev Recd Date: 2016-06-20
Publish Date: 2017-05-25

Abstract

Abstract

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.
- functionally graded materials,
- Euler beam,
- thermal shock,
- symplectic method,
- dynamic buckling

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References(17)

References

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