DYNAMICAL BEHAVIOR OF NONLINEAR VISCOELASTIC BEAMS

Applied Mathematics and Mechanics (English Edition) ›› 2000, Vol. 21 ›› Issue (9): 995-1001.

DYNAMICAL BEHAVIOR OF NONLINEAR VISCOELASTIC BEAMS

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:1999-07-09 修回日期:2000-05-10 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(98JC14032,98SHB1417)

DYNAMICAL BEHAVIOR OF NONLINEAR VISCOELASTIC BEAMS

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:1999-07-09 Revised:2000-05-10 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(98JC14032,98SHB1417)

摘要/Abstract

摘要： The integro-partial-differential equation that governs the dynamical behavior of homogeneous viscoelastic beams was established. The material of the beams obeys the Leaderman nonlinear constitutive relation. In the case of two simply supported ends, the mathematical model is simplified into an integro-differential equation after a 2nd-order truncation by the Galerkin method. Then the equation is further reduced to an ordinary differential equation which is convenient to carry out numerical experiments. Finally, the dynamical behavior of 1st-order and 2nd-order truncation are numerically compared.

Abstract: The integro-partial-differential equation that governs the dynamical behavior of homogeneous viscoelastic beams was established. The material of the beams obeys the Leaderman nonlinear constitutive relation. In the case of two simply supported ends, the mathematical model is simplified into an integro-differential equation after a 2nd-order truncation by the Galerkin method. Then the equation is further reduced to an ordinary differential equation which is convenient to carry out numerical experiments. Finally, the dynamical behavior of 1st-order and 2nd-order truncation are numerically compared.

中图分类号:

O175.29

陈立群;程昌钧. DYNAMICAL BEHAVIOR OF NONLINEAR VISCOELASTIC BEAMS[J]. Applied Mathematics and Mechanics (English Edition), 2000, 21(9): 995-1001.

CHEN Li-qun;CHENG Chang-jun. DYNAMICAL BEHAVIOR OF NONLINEAR VISCOELASTIC BEAMS[J]. Applied Mathematics and Mechanics (English Edition), 2000, 21(9): 995-1001.

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DYNAMICAL BEHAVIOR OF NONLINEAR VISCOELASTIC BEAMS

DYNAMICAL BEHAVIOR OF NONLINEAR VISCOELASTIC BEAMS

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