Stability and Chaotic Motion in Columns of Nonlinear Viscoelastic Material

CHEN Li-qun; CHENG Chang-jun

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Article Navigation > Applied Mathematics and Mechanics > 2000 > 21(9): 890-896

CHEN Li-qun, CHENG Chang-jun. Stability and Chaotic Motion in Columns of Nonlinear Viscoelastic Material[J]. Applied Mathematics and Mechanics, 2000, 21(9): 890-896.

Citation:

CHEN Li-qun, CHENG Chang-jun. Stability and Chaotic Motion in Columns of Nonlinear Viscoelastic Material[J]. Applied Mathematics and Mechanics, 2000, 21(9): 890-896.

Citation:

CHEN Li-qun, CHENG Chang-jun. Stability and Chaotic Motion in Columns of Nonlinear Viscoelastic Material[J]. Applied Mathematics and Mechanics, 2000, 21(9): 890-896.

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Stability and Chaotic Motion in Columns of Nonlinear Viscoelastic Material

CHEN Li-qun^1,2,
CHENG Chang-jun^1,2

1.
Shanghai Institute of Applied Mathematics and Mechanics, Shanghai 200072, P R China;
2.
Department of Mechanics, Shanghai Univesity, Shanghai 201800, P R China

Received Date: 1999-06-25
Rev Recd Date: 2000-05-25
Publish Date: 2000-09-15

Abstract

Abstract

The dynamical stability of a homogeneous,simple supported column,subjected to a periodic axial force,is investigated.The viscoelastic material is assumed to obey the Leaderman nonlinear constitutive ralation.The equation of motion was derived as a nonlinear integro-partial-differential equation,and was simplified into a nonlinear integro-differential equation by the Galerkin method. The averaging method was employed to carry out the stability analysis.Numerical results are presented to compare with the analytical ones.Numerical results also indicate that chaotic motion appears.
- stability,
- chaos,
- averaging method,
- Galerkin method,
- viscoelastic column

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References(18)

References

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