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论文类型：期刊论文

发表时间：2016-09-30

发表刊物：MATHEMATICAL METHODS IN THE APPLIED SCIENCES

收录刊物：SCIE、EI、Scopus

卷号：39

期号：14

页面范围：3932-3946

ISSN号：0170-4214

关键字：viscoelasticity; static/dynamic stability; adaptive algorithm; column

摘要：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.