Laboratory for Dynamics of Machines and Structures 
Computing the dynamic response of an axially moving continuum
 G. Cepon and M. Boltežar
Journal of Sound and Vibration, 2007, vol 300, is 1-2, 316-329

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Abstract
The aim of this study was to apply an approximate Galerkin finite-element method to solve the initial boundary-value problem of a viscously damped axially moving pre-tensioned beam including arbitrary support excitations. In order to validate the Galerkin finite-element method the results were compared with exact solutions when available and with solutions obtained using the finite-difference and Galerkin methods. The energy dissipation of the system was considered in the form of an equivalent viscous-damping model. It was also shown that for certain values of the parameters, especially at high velocities, the Galerkin method using stationary string eigenfunctions can give a poor prediction of the dynamic response.
Authors

Assistant Professor

Gregor Čepon, PhD

  Ladisk, Faculty of Mechanical Engineering, University of Ljubljana
  gregor.cepon@fs.uni-lj.si
  +386 1 4771 229
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Professor

Miha Boltežar, PhD

  Ladisk, Faculty of Mechanical Engineering, University of Ljubljana
  miha.boltezar@fs.uni-lj.si
  +386 1 4771 608
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