Static and Dynamic Analysis of Axially Loaded Wire Ropes
Butson, Gary James
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https://hdl.handle.net/2142/68517
Description
Title
Static and Dynamic Analysis of Axially Loaded Wire Ropes
Author(s)
Butson, Gary James
Issue Date
1981
Department of Study
Theoretical and Applied Mechanics
Discipline
Theoretical and Applied Mechanics
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
Ph.D.
Degree Level
Dissertation
Keyword(s)
Applied Mechanics
Language
eng
Abstract
The object of this study is to investigate the static and dynamic behavior of axially loaded wire rope. The longitudinal, torsional, and transverse displacements are determined for a rope which is initially straight in the reference configuration and loaded by an axial force and twisting moment. The static response of wire rope is analyzed using a recently developed technique in which the individual wires in a rope are examined.
The effect of friction between adjacent wires on the nonlinear response is determined for the simplest wire rope geometry. Constitutive relations which follow from the static analysis for frictionless rope are used to study ropes loaded by their own weight and to study the dynamic response of wire ropes.
The dynamic behavior of wire rope is analyzed for small displacements about the static equilibrium position. It is shown that the longitudinal and torsional displacements are coupled to each other but not to the transverse displacements. It is further shown that transverse displacement in one plane is coupled to transverse displacement in the perpendicular plane.
Solutions for some initial value problems for suspended wire ropes are determined by means of a Laplace transform with a numerical inversion technique. Solutions for the natural modes of vibration of taut rope are found by an eigenvalue approach.
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