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Archive of Applied Mechanics
Erschienen in: Archive of Applied Mechanics 4/2016

14.08.2015 | Original

A boundary modulation formulation for cable’s non-planar coupled dynamics under out-of-plane support motion

verfasst von: Tieding Guo, Houjun Kang, Lianhua Wang, Yueyu Zhao

Erschienen in: Archive of Applied Mechanics | Ausgabe 4/2016

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Abstract

Suspended cable’s non-planar resonant coupled dynamics under out-of-plane support motion is investigated by the multiple- scale method, with a boundary modulation formulation established and nonlinear dynamic responses analyzed. Explicitly, to cope with the difficulty due to moving boundary, the small resonant support motion is properly rescaled and incorporated into cable’s modulation equations as a boundary resonant modulation term, through constructing solvability conditions of the multi-scale expansions. And the boundary resonance dynamic coefficient, characterizing the boundary modulation effect, is derived analytically for cable’s two-to-one resonant coupled dynamics. Numerical results for cable’s non-planar coupled dynamic responses, including stability and bifurcation analysis for the equilibrium solutions of modulation equations, are obtained and presented in the end, with both saddle-node bifurcations and Hopf bifurcations detected.
Vorheriger Artikel The mixed-mode analysis of a functionally graded orthotropic half-plane weakened by multiple curved cracks
Nächster Artikel Generalized Reynolds equation for fluid film problems with arbitrary boundary conditions: application to double-sided spiral groove thrust bearings

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Metadaten
Titel
A boundary modulation formulation for cable’s non-planar coupled dynamics under out-of-plane support motion
verfasst von
Tieding Guo
Houjun Kang
Lianhua Wang
Yueyu Zhao
Publikationsdatum
14.08.2015
Verlag
Springer Berlin Heidelberg
Erschienen in
Archive of Applied Mechanics / Ausgabe 4/2016
Print ISSN: 0939-1533
Elektronische ISSN: 1432-0681
DOI
https://doi.org/10.1007/s00419-015-1058-8

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