ZHAO Wei-jia, CHEN Li-qun, Jean W Zu. Finite Difference Method for Simulatting Transverse Vibrations of an Axially Moving Viscoelatic String[J]. Applied Mathematics and Mechanics, 2006, 27(1): 21-27.
Citation: ZHAO Wei-jia, CHEN Li-qun, Jean W Zu. Finite Difference Method for Simulatting Transverse Vibrations of an Axially Moving Viscoelatic String[J]. Applied Mathematics and Mechanics, 2006, 27(1): 21-27.

Finite Difference Method for Simulatting Transverse Vibrations of an Axially Moving Viscoelatic String

  • Received Date: 2003-05-30
  • Rev Recd Date: 2005-09-06
  • Publish Date: 2006-01-15
  • Finite difference method is presented to simulate transverse vibrations of an axially moving string.The equation of motion is derived first.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 resulting 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.It also shows stability for small initial values,so it can be used in analyzing the nonlinear vibration of viscoelastic moving string effectively.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.
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