Exact solutions for free vibration of single-degree-of-freedom systems with nonperiodically varying parameters
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
Author(s)
Detail(s)
Original language | English |
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Pages (from-to) | 449-462 |
Journal / Publication | JVC/Journal of Vibration and Control |
Volume | 6 |
Issue number | 3 |
Online published | 1 Mar 2000 |
Publication status | Published - Mar 2000 |
Link(s)
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
Citation Format(s)
Exact solutions for free vibration of single-degree-of-freedom systems with nonperiodically varying parameters. / Li, Q. S.; Fang, J. Q.; Liu, D. K.
In: JVC/Journal of Vibration and Control, Vol. 6, No. 3, 03.2000, p. 449-462.
In: JVC/Journal of Vibration and Control, Vol. 6, No. 3, 03.2000, p. 449-462.
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review