Abstract
A new scheme of time stepping for solving the dynamic viscoelastic problems are presented. By expanding variables at a discrete 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.
Similar content being viewed by others
References
Christensen R M. Theory of Viscoelasticity[M]. New York: Academic Press,1982.
TAO Bao-qi. Smart Materials and Structures[M]. Beijing: Defence Industrial Press, 1999. (in Chinese)
YANG Hai-tian, WU Rui-feng, SHA De-song. Dynamic analysis of steady-state for viscoelastic frame structures[J]. Chinese Journal of Earthquake and Engineering Vibration, 1991,11(1):64-75. (in Chinese)
YANG Hai-tian, WU Rui-feng, YANG Chun-qiu. Analysis of free vibration for viscoelastic structures[J]. Chinese Journal of Computational Structural Meehanics and Application, 1993,10(1):30
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Yang, Ht., Gao, Q., Guo, Xl. et al. A New Algorithm of Time Stepping in Dynamic Viscoelastic Problems. Applied Mathematics and Mechanics 22, 650–657 (2001). https://doi.org/10.1023/A:1016341717385
Issue Date:
DOI: https://doi.org/10.1023/A:1016341717385