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

Citation
Qs. Li et al., Exact solutions for free vibration of single-degree-of-freedom systems with nonperiodically varying parameters, J VIB CONTR, 6(3), 2000, pp. 449-462
Citations number
12
Language
INGLESE
art.tipo
Article
Categorie Soggetti
Mechanical Engineering
Journal title
JOURNAL OF VIBRATION AND CONTROL
ISSN journal
1077-5463 → ACNP
Volume
6
Issue
3
Year of publication
2000
Pages
449 - 462
Database
ISI
SICI code
1077-5463(200003)6:3<449:ESFFVO>2.0.ZU;2-X
Abstract
An analysis of free vibration of single-degree-of-freedom (SDoF) systems wi th 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 expressi ons such as power functions and exponential functions, and the general gove rning differential equation for free vibration of SDoF systems with nonperi odically varying parameters is established. The exact solutions for free vi bration of such time-varying systems are derived. The obtained solutions de monstrate that free vibration of several undamped systems with nonperiodica lly varying parameters cannot be induced by an initial disturbance.