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Indexed by:期刊论文

Date of Publication:2016-09-30

Journal:MATHEMATICAL METHODS IN THE APPLIED SCIENCES

Included Journals:SCIE、EI、Scopus

Volume:39

Issue:14

Page Number:3932-3946

ISSN No.:0170-4214

Key Words:viscoelasticity; static/dynamic stability; adaptive algorithm; column

Abstract:This paper presents a new numerical approach for the static and dynamic stabilities analysis of viscoelastic columns. By expanding all variables in a discretized time interval, a time and space coupled integral-differential equation system is converted into a series of recursive spatial problems that are solved via FEM. A temporally piecewised adaptive algorithm is developed to maintain computing accuracy. Consequently, the descriptions of static stability of imperfect viscoelastic columns and dynamic stability of perfect viscoelastic columns are realized, respectively. Numerical examples are presented to verify the proposed approach. Additionally, two analytical expressions are derived for the dynamic stability analysis of linear and Burgers models, respectively. Copyright (C) 2016 John Wiley & Sons, Ltd.