The transient dynamics of a cable-mass system due to the motion of an attached accelerating mass

Research output: Contribution to journalArticle

16 Citations (Scopus)

Abstract

The objective of this paper is an analytical and numerical study of the transient vibrations of a taut inclined cable with a riding accelerating mass that is suspended in space. The moving mass is accelerated by a thrust down the inclined cable and is able to be aerodynamically brought to a halt. The thrust is a follow force that is tangential to the deformed configuration of the cable. The cable is suspended from two points of different elevation. The higher point of the cable is anchored to the ground, and the lower point of the cable is controlled so that its tension at that point is held at a constant level. Hence, the length of the cable is not fixed and is a parameter to be determined during any run. The restriction in which an inextensible cannot vibrate in the limit of vanishing sag then is removed. The mechanics of the problem is Newtonian. Methods of analysis will consist of the dynamics of small deformations superimposed on the static catenary state. The problem is nonlinear due to the presence of friction and the convective acceleration interaction of the moving mass and the cable. Galerkin's procedure for removal of spatial dependence and numerical integration are used to obtain convergent solutions.

Original languageEnglish
Pages (from-to)1361-1383
Number of pages23
JournalInternational Journal of Solids and Structures
Volume37
Issue number9
DOIs
Publication statusPublished - 1999 Dec 10

Fingerprint

Transient Dynamics
Cable
cables
Cables
Motion
Inclined
thrust
Catenary
Vibrate
Inextensible
Spatial Dependence
numerical integration
Galerkin
Numerical integration
Mechanics
Numerical Study
Friction
constrictions
friction
Vibration

All Science Journal Classification (ASJC) codes

  • Modelling and Simulation
  • Materials Science(all)
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering
  • Applied Mathematics

Cite this

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The transient dynamics of a cable-mass system due to the motion of an attached accelerating mass. / Wang, Yi-Ming.

In: International Journal of Solids and Structures, Vol. 37, No. 9, 10.12.1999, p. 1361-1383.

Research output: Contribution to journalArticle

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