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Efficient computation for dynamic responses of systems with time-varying characteristics

Authors
  • Ma, Liang1
  • Chen, Yudong1
  • Chen, Suhuan1
  • Meng, Guangwei1
  • 1 Jilin University, Department of Mechanics, Nanling Campus, Changchun, 130025, China , Changchun (China)
Type
Published Article
Journal
Acta Mechanica Sinica
Publisher
Springer-Verlag
Publication Date
Apr 25, 2009
Volume
25
Issue
5
Pages
699–705
Identifiers
DOI: 10.1007/s10409-009-0255-5
Source
Springer Nature
Keywords
License
Yellow

Abstract

Based on Neumman series and epsilon-algorithm, an efficient computation for dynamic responses of systems with arbitrary time-varying characteristics is investigated. Avoiding the calculation for the inverses of the equivalent stiffness matrices in each time step, the computation effort of the proposed method is reduced compared with the full analysis of Newmark method. The validity and applications of the proposed method are illustrated by a 4-DOF spring-mass system with periodical time-varying stiffness properties and a truss structure with arbitrary time-varying lumped mass. It shows that good approximate results can be obtained by the proposed method compared with the responses obtained by the full analysis of Newmark method.

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