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Three-dimensional nonlinear global dynamics of axially moving viscoelastic beams

Journal Article


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Abstract


  • The three-dimensional nonlinear global dynamics of an axially moving viscoelastic beam is investigated numerically, retaining longitudinal, transverse, and lateral displacements and inertia. The nonlinear continuous model governing the motion of the system is obtained by means of Hamilton's principle. The Galerkin scheme along with suitable eigenfunctions is employed for model reduction. Direct time-integration is conducted upon the reduced-order model yielding the time-varying generalized coordinates. From the time histories of the generalized coordinates, the bifurcation diagrams of PoincarĂ© sections are constructed by varying either the forcing amplitude or the axial speed as the bifurcation parameter. The results for the three-dimensional viscoelastic model are compared to those of a three-dimensional elastic model in order to better understand the effect of the internal energy dissipation mechanism on the dynamical behavior of the system. The results are also presented by means of time histories, phase-plane diagrams, and fast Fourier transforms (FFT).

Authors


  •   Farokhi, Hamed (external author)
  •   Ghayesh, Mergen H. (external author)
  •   Hussain, Shahid (external author)

Publication Date


  • 2016

Citation


  • Farokhi, H., Ghayesh, M. H. & Hussain, S. (2016). Three-dimensional nonlinear global dynamics of axially moving viscoelastic beams. Journal of Vibration and Acoustics, Transactions of the ASME, 138 (1), 011007-1-011007-11.

Scopus Eid


  • 2-s2.0-84945921452

Ro Full-text Url


  • http://ro.uow.edu.au/cgi/viewcontent.cgi?article=5838&context=eispapers

Ro Metadata Url


  • http://ro.uow.edu.au/eispapers/4811

Start Page


  • 011007-1

End Page


  • 011007-11

Volume


  • 138

Issue


  • 1

Abstract


  • The three-dimensional nonlinear global dynamics of an axially moving viscoelastic beam is investigated numerically, retaining longitudinal, transverse, and lateral displacements and inertia. The nonlinear continuous model governing the motion of the system is obtained by means of Hamilton's principle. The Galerkin scheme along with suitable eigenfunctions is employed for model reduction. Direct time-integration is conducted upon the reduced-order model yielding the time-varying generalized coordinates. From the time histories of the generalized coordinates, the bifurcation diagrams of PoincarĂ© sections are constructed by varying either the forcing amplitude or the axial speed as the bifurcation parameter. The results for the three-dimensional viscoelastic model are compared to those of a three-dimensional elastic model in order to better understand the effect of the internal energy dissipation mechanism on the dynamical behavior of the system. The results are also presented by means of time histories, phase-plane diagrams, and fast Fourier transforms (FFT).

Authors


  •   Farokhi, Hamed (external author)
  •   Ghayesh, Mergen H. (external author)
  •   Hussain, Shahid (external author)

Publication Date


  • 2016

Citation


  • Farokhi, H., Ghayesh, M. H. & Hussain, S. (2016). Three-dimensional nonlinear global dynamics of axially moving viscoelastic beams. Journal of Vibration and Acoustics, Transactions of the ASME, 138 (1), 011007-1-011007-11.

Scopus Eid


  • 2-s2.0-84945921452

Ro Full-text Url


  • http://ro.uow.edu.au/cgi/viewcontent.cgi?article=5838&context=eispapers

Ro Metadata Url


  • http://ro.uow.edu.au/eispapers/4811

Start Page


  • 011007-1

End Page


  • 011007-11

Volume


  • 138

Issue


  • 1