Large amplitude three-dimensional free vibrations of inclined sagged elastic cables

N. Srinil, G. Rega, S. Chucheepsakul

Research output: Contribution to journalArticle

45 Citations (Scopus)

Abstract

The nonlinear characteristics in the large amplitude three-dimensionalfree vibrations of inclined sagged elastic cables are investigated. Amodel formulation which is not limited to cables having smallsag-to-span ratios and takes into account the axial deformation effectis considered. Based on a multi-degree-of-freedom cable model, a finitedifference discretization is employed within a numerical solution of thegoverning equations of three-dimensional coupled motion. Variousnumerical examples of arbitrarily inclined sagged cables with initialout-of-plane or in-plane motions are carried out for the case of aspecified end tension. The major findings consist of highlighting theextent of two-and three-dimensional nonlinear couplings, the occurrenceof nonlinear dynamic tensions, and the meaningfulness of modaltransition phenomena ensuing from the activation of various internalresonance conditions. The influence of cable inclination on thenonlinear dynamic behavior is also evaluated. Comprehensive discussionand comparison of large amplitude free vibrations of horizontal andinclined sagged cables are presented.
Original languageEnglish
Pages (from-to)129-154
Number of pages25
JournalNonlinear Dynamics
Volume33
Issue number2
DOIs
Publication statusPublished - 2003

Fingerprint

Free Vibration
Inclined
Cable
Cables
Three-dimensional
Motion
Degrees of freedom (mechanics)
Inclination
Dynamic Behavior
Nonlinear Dynamics
Activation
Horizontal
Vibration
Discretization
Chemical activation
Degree of freedom
Numerical Solution
Formulation

Keywords

  • inclined cable
  • multi-degree-of-freedom model
  • large amplitude three-dimensional free vibration
  • internal resonance
  • modal transition
  • dynamic tension

Cite this

Srinil, N. ; Rega, G. ; Chucheepsakul, S. / Large amplitude three-dimensional free vibrations of inclined sagged elastic cables. In: Nonlinear Dynamics. 2003 ; Vol. 33, No. 2. pp. 129-154.
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Large amplitude three-dimensional free vibrations of inclined sagged elastic cables. / Srinil, N.; Rega, G.; Chucheepsakul, S.

In: Nonlinear Dynamics, Vol. 33, No. 2, 2003, p. 129-154.

Research output: Contribution to journalArticle

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T1 - Large amplitude three-dimensional free vibrations of inclined sagged elastic cables

AU - Srinil, N.

AU - Rega, G.

AU - Chucheepsakul, S.

PY - 2003

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N2 - The nonlinear characteristics in the large amplitude three-dimensionalfree vibrations of inclined sagged elastic cables are investigated. Amodel formulation which is not limited to cables having smallsag-to-span ratios and takes into account the axial deformation effectis considered. Based on a multi-degree-of-freedom cable model, a finitedifference discretization is employed within a numerical solution of thegoverning equations of three-dimensional coupled motion. Variousnumerical examples of arbitrarily inclined sagged cables with initialout-of-plane or in-plane motions are carried out for the case of aspecified end tension. The major findings consist of highlighting theextent of two-and three-dimensional nonlinear couplings, the occurrenceof nonlinear dynamic tensions, and the meaningfulness of modaltransition phenomena ensuing from the activation of various internalresonance conditions. The influence of cable inclination on thenonlinear dynamic behavior is also evaluated. Comprehensive discussionand comparison of large amplitude free vibrations of horizontal andinclined sagged cables are presented.

AB - The nonlinear characteristics in the large amplitude three-dimensionalfree vibrations of inclined sagged elastic cables are investigated. Amodel formulation which is not limited to cables having smallsag-to-span ratios and takes into account the axial deformation effectis considered. Based on a multi-degree-of-freedom cable model, a finitedifference discretization is employed within a numerical solution of thegoverning equations of three-dimensional coupled motion. Variousnumerical examples of arbitrarily inclined sagged cables with initialout-of-plane or in-plane motions are carried out for the case of aspecified end tension. The major findings consist of highlighting theextent of two-and three-dimensional nonlinear couplings, the occurrenceof nonlinear dynamic tensions, and the meaningfulness of modaltransition phenomena ensuing from the activation of various internalresonance conditions. The influence of cable inclination on thenonlinear dynamic behavior is also evaluated. Comprehensive discussionand comparison of large amplitude free vibrations of horizontal andinclined sagged cables are presented.

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KW - modal transition

KW - dynamic tension

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