STABILITY AND CHAOTIC MOTION IN COLUMNS OF NONLINEAR VISCOELASTIC MATERIAL

Applied Mathematics and Mechanics (English Edition) ›› 2000, Vol. 21 ›› Issue (9): 987-994.

STABILITY AND CHAOTIC MOTION IN COLUMNS OF NONLINEAR VISCOELASTIC MATERIAL

陈立群^1,2, 程昌钧^1,2

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

收稿日期:1999-06-25 修回日期:2000-05-25 出版日期:2000-09-18 发布日期:2000-09-18
基金资助:
the National Natural Science Foundation of China(19727027);China Postdoctoral Science Foundation;Shanghai Municipal Development Foundation of Science and Technology(98JC14032,98 SHB1417)

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 University, Shanghai 201800, P. R. China

Received:1999-06-25 Revised:2000-05-25 Online:2000-09-18 Published:2000-09-18
Supported by:
the National Natural Science Foundation of China(19727027);China Postdoctoral Science Foundation;Shanghai Municipal Development Foundation of Science and Technology(98JC14032,98 SHB1417)

摘要/Abstract

摘要： 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 relation. 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.

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 relation. 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.

中图分类号:

O322

陈立群;程昌钧. STABILITY AND CHAOTIC MOTION IN COLUMNS OF NONLINEAR VISCOELASTIC MATERIAL[J]. Applied Mathematics and Mechanics (English Edition), 2000, 21(9): 987-994.

CHEN Li-qun;CHENG Chang-jun. STABILITY AND CHAOTIC MOTION IN COLUMNS OF NONLINEAR VISCOELASTIC MATERIAL[J]. Applied Mathematics and Mechanics (English Edition), 2000, 21(9): 987-994.

参考文献

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STABILITY AND CHAOTIC MOTION IN COLUMNS OF NONLINEAR VISCOELASTIC MATERIAL

STABILITY AND CHAOTIC MOTION IN COLUMNS OF NONLINEAR VISCOELASTIC MATERIAL

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