The Elastic Cable: From Formulation to Computation

  • Walter Lacarbonara
Chapter
First Online:

Abstract

This chapter addresses the derivation of the nonlinear problem of purely extensible elastic cables, treated as a one-dimensional continuum. The cable problem combines the striking simplicity of its nonlinear formulation with its eminently complex structural behavior. The cable problem is employed here as a powerful illustrative problem which allows the chief steps in a full nonlinear reduced formulation of the governing equations to be introduced, together with the leading computational steps in nonlinear structural analyses and further provides the motivation for studying nonlinear structural systems such as beams, arches, and rings within the more general context of three-dimensional theory. Cable applications feature the nonlinear formulation for tethered satellite systems employed in space applications and the study of the galloping instability of iced cables subject to steady winds.

Keywords

Cable String Stretch Tension Pure extension Hydrostatic pressure Catenary Elastic catenary Weak form of the equations of motion Geometric stiffness Linearization Frequency Mode shapes Suspension bridge Tethered Satellite System Galloping 
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Copyright information

© Springer Science+Business Media New York 2013

Authors and Affiliations

  • Walter Lacarbonara
    • 1
  1. 1.Sapienza University of RomeRomeItaly

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