Exact solutions for free vibration of single-degree-of-freedom systems with nonperiodically varying parameters

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Author(s)

Detail(s)

Original languageEnglish
Pages (from-to)449-462
Journal / PublicationJVC/Journal of Vibration and Control
Volume6
Issue number3
Online published1 Mar 2000
Publication statusPublished - Mar 2000

Abstract

An analysis of free vibration of single-degree-of-freedom (SDoF) systems with nonperiodically varying parameters, such as variable mass and stiffness, is presented and discussed in this paper. The variations, relative to time, of mass and stiffness are expressed by the selection of suitable expressions such as power functions and exponential functions, and the general governing differential equation for free vibration of SDoF systems with nonperiodically varying parameters is established. The exact solutions for free vibration of such time-varying systems are derived. The obtained solutions demonstrate that free vibration of several undamped systems with nonperiodically varying parameters cannot be induced by an initial disturbance. © 2000 Sage Publications, Inc.

Research Area(s)

  • Dynamics of time-varying systems, Free vibration, Parameters excited vibrations, Systems with varying parameters