Finite difference method for simulating transverse vibrations of an axially moving viscoelastic string

Wei Jia Zhao, Li Qun Chen, Jean W. Zu

Research output: Contribution to journalArticlepeer-review

14 Scopus citations

Abstract

A finite difference method is presented to simulate transverse vibrations of an axially moving string. By discretizing the governing equation and the equation of stress-strain relation at different frictional knots, two linear sparse finite difference equation systems are obtained. The two explicit difference schemes can be calculated alternatively, which make the computation much more efficient. The numerical method makes the nonlinear model easier to deal with and of truncation errors, O(Δt2 + Δx2). It also shows quite good stability for small initial values. Numerical examples are presented to demonstrate the efficiency and the stability of the algorithm, and dynamic analysis of a viscoelastic string is given by using the numerical results.

Original languageEnglish
Pages (from-to)23-28
Number of pages6
JournalApplied Mathematics and Mechanics (English Edition)
Volume27
Issue number1
DOIs
StatePublished - Jan 2006

Keywords

  • Alternating iterative
  • Axially moving strings
  • Dynamical analysis
  • Finite difference
  • Transverse vibration
  • Viscoelastic

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