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Acta Mechanica Solida Sinica

, Volume 22, Issue 4, pp 369–376 | Cite as

On Galerkin Discretization of Axially Moving Nonlinear Strings

  • Liqun Chen
  • Weijia Zhao
  • Hu Ding
Article

Abstract

A computational technique is proposed for the Galerkin discretization of axially moving strings with geometric nonlinearity. The Galerkin discretization is based on the eigenfunctions of stationary strings. The discretized equations are simplified by regrouping nonlinear terms to reduce the computation work. The scheme can be easily implemented in the practical programming. Numerical results show the effectiveness of the technique. The results also highlight the feature of Galerkin’s discretization of gyroscopic continua that the term number in Galerkin’s discretization should be even. The technique is generalized from elastic strings to viscoelastic strings.

Key words

Galerkin discretization partial differential equation nonlinearity transverse vibration axially moving string viscoelasticity 

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Copyright information

© The Chinese Society of Theoretical and Applied Mechanics and Technology 2009

Authors and Affiliations

  1. 1.Department of MechanicsShanghai UniversityShanghaiChina
  2. 2.Shanghai Institute of Applied Mathematics and MechanicsShanghaiChina
  3. 3.Department of MathematicsQingdao UniversityQingdaoChina

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