Affordable Access

Publisher Website

THE PASSAGE THROUGH RESONANCE IN A CATENARY–VERTICAL CABLE HOISTING SYSTEM WITH SLOWLY VARYING LENGTH

Authors
Journal
Journal of Sound and Vibration
0022-460X
Publisher
Elsevier
Publication Date
Volume
208
Issue
2
Identifiers
DOI: 10.1006/jsvi.1997.1220
Disciplines
  • Mathematics

Abstract

Abstract A passage through resonance in a catenary–vertical cable system with periodic external excitation is analyzed. Due to the time-varying length of the vertical cable the natural frequencies of the system vary slowly, and a transient resonance may occur when one of the frequencies coincides with the frequency of an external excitation at some critical time. A simplified model of the system with proportional damping is proposed. This model is analyzed by using a combined perturbation and numerical technique. The method of multiple scales is used to formulate a uniformly valid perturbation expansion for the response near the resonance, and a system of first order ordinary differential equations for the slowly varying amplitude and phase of the response results. This system is integrated numerically on a slow time scale. A model example is discussed, and the behavior of the essential dynamic properties of the system during the transition through resonance is examined.

There are no comments yet on this publication. Be the first to share your thoughts.