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A numerical method for simulating transverse vibrations of an axially moving string
- Source :
- Applied Mathematics and Computation. 160:411-422
- Publication Year :
- 2005
- Publisher :
- Elsevier BV, 2005.
-
Abstract
- A modified finite difference method is presented to simulate transverse vibrations of an axially moving string. By discretizing the governing equation and the stress-strain relation at different frictional knots, two linear sparse finite difference equations are obtained, which can be computed alternatively. The numerical method makes the non-linear model easier to deal with and of small truncation errors. It also shows stable for small initial values, so it can be used in analyzing the non-linear vibration of viscoelastic moving string efficiently. A practical way of testing the precise of the numerical results is given by using a conservative quantity. Numerical examples are presented and dynamical analysis is given by using the numerical results.
Details
- ISSN :
- 00963003
- Volume :
- 160
- Database :
- OpenAIRE
- Journal :
- Applied Mathematics and Computation
- Accession number :
- edsair.doi...........b230d31783d212ecdb59fbc3211db7b8