粘弹性动力问题中的一种新的时域递进算法

留言板

尊敬的读者、作者、审稿人, 关于本刊的投稿、审稿、编辑和出版的任何问题, 您可以本页添加留言。我们将尽快给您答复。谢谢您的支持!

姓名

邮箱

手机号码

标题

留言内容

验证码

基金项目: 教育部归国人员启动基金资助项目(1998-679)

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

摘要: 提出一种新的求解粘弹性动力问题的时域递进技术,在离散时段内将各物理量展开,导出有限元形式的递推计算格式。对不同的时间步长,可做自适应计算,以保证计算精度。数值验证给出了令人满意的结果。
- 粘弹性 /
- 动力问题 /
- 有限元
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

[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.