Nonlinear Dynamic Behaviors of Viscoelastic Shallow Arches

YI Zhuang-peng; WANG Lian-hua; ZHAO Yue-yu

doi:10.3879/j.issn.1000-0887.2009.06.011

Volume 30 Issue 6

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YI Zhuang-peng, WANG Lian-hua, ZHAO Yue-yu. Nonlinear Dynamic Behaviors of Viscoelastic Shallow Arches[J]. Applied Mathematics and Mechanics, 2009, 30(6): 719-724. doi: 10.3879/j.issn.1000-0887.2009.06.011

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Nonlinear Dynamic Behaviors of Viscoelastic Shallow Arches

doi: 10.3879/j.issn.1000-0887.2009.06.011

1.
School of Civil Engineering and Architecture, Changsha University of Science and Technology, Changsha 410114, P. R. China;

Received Date: 2008-08-22
Rev Recd Date: 2009-02-25
Publish Date: 2009-06-15

Abstract

Abstract

The nonlinear dynamic of nonlinear viscoelastic shallow arches subjected to the external excitation is investigated.Based on the d.Alembert principle and the Euler-Bernoulli assumption,the governing equation of shallow arch was obtained,where the Leaderman constitutive relation was applied.The Galerkin method and numerical integration were used to study the nonlinear dynamic properties of the viscoelastic shallow arches.Moreover,the effects of the rise,the material parameter and excitation on the nonlinear dynamic of shallow arch were investigated.The results show that viscoelastic shallow arches may have chaotic motion for certain condition.
- viscoelastic shallowarch,
- Leaderman constitutive relation,
- Galerkin method,
- bifurcation,
- chaos

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References(17)

References

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