A New Algorithm of Time Stepping in Dynamic Viscoelastic Problems

YANG Hai-tian; GAO Qiang; GUO Xing-lin; WU Rui-feng

Article Contents

Article Navigation > Applied Mathematics and Mechanics > 2001 > 22(6): 579-586

YANG Hai-tian, GAO Qiang, GUO Xing-lin, WU Rui-feng. A New Algorithm of Time Stepping in Dynamic Viscoelastic Problems[J]. Applied Mathematics and Mechanics, 2001, 22(6): 579-586.

Citation:

YANG Hai-tian, GAO Qiang, GUO Xing-lin, WU Rui-feng. A New Algorithm of Time Stepping in Dynamic Viscoelastic Problems[J]. Applied Mathematics and Mechanics, 2001, 22(6): 579-586.

Citation:

YANG Hai-tian, GAO Qiang, GUO Xing-lin, WU Rui-feng. A New Algorithm of Time Stepping in Dynamic Viscoelastic Problems[J]. Applied Mathematics and Mechanics, 2001, 22(6): 579-586.

PDF( 298 KB)

A New Algorithm of Time Stepping in Dynamic Viscoelastic Problems

State Key Laboratory of Structural Analysis of Industrial Equipment, Department of Engineering Mechanics, Dalian University of Technology, Dalian 116023, P R China

Received Date: 1999-12-03
Rev Recd Date: 2000-12-05
Publish Date: 2001-06-15

Abstract

Abstract

A new scheme of time stepping for solving the dynamic viscoelastic problems are presented.By expanding variables at a discretised time interval,FEM based recurrent formulae are derived. A self-adaptive algorithm for different sizes of time steps can be carried out to improve computing accuracy.Numerical validation shows satisfactory performance.
- viscoelasticity,
- dynamic problem,
- finite element

FullText(HTML)

References(8)

References

[1]	Christensen R M. Theory of Viscoelasticity [M]. New York: Academic Press,1982.
[2]	陶宝祺. 智能材料结构[M]. 北京:国防工业出版社,1999.
[3]	杨海天,邬瑞锋,沙德松. 粘弹性杆系结构的稳态动力分析[J]. 地震工程与工程振动,1991,11(1):64-75.
[4]	杨海天,邬瑞锋,杨春秋. 粘弹性结构自由振动分析[J]. 计算结构力学及其应用,1993,10(1):30-35.
[5]	Lewis R W, Morgan K, Thomas H R, et al. The Finite Element Method in Heat Transfer Analysis[M]. New York: Wiley,1996.
[6]	张宝琳,袁国兴,刘兴平,等. 偏微分方程并行有限差分方法[M]. 北京:科学出版社,1994.
[7]	YANG Hai-tian. A new approach of time stepping for solving transfer problems[J]. Communications in Numerical Methods in Engineering,1999,15:325-334.
[8]	徐次达. 固体力学加权残值法[M]. 上海:同济大学出版社,1987.