LOW-DIMENSIONAL MODELS OF SHELL VIBRATIONS PARAMETRICALLY EXCITED VIBRATIONS OF CYLINDRICAL-SHELLS

Citation
Aa. Popov et al., LOW-DIMENSIONAL MODELS OF SHELL VIBRATIONS PARAMETRICALLY EXCITED VIBRATIONS OF CYLINDRICAL-SHELLS, Journal of sound and vibration, 209(1), 1998, pp. 163-186
Citations number
28
Categorie Soggetti
Acoustics
ISSN journal
0022460X
Volume
209
Issue
1
Year of publication
1998
Pages
163 - 186
Database
ISI
SICI code
0022-460X(1998)209:1<163:LMOSVP>2.0.ZU;2-0
Abstract
Vibrations of cylindrical shells parametrically excited by axial forci ng are considered. The governing system of two coupled non-linear part ial differential equations is discretized by using Lagrange equations. The computation is simplified significantly by the application of com puter algebra and as a result low dimensional models of shell vibratio ns are readily obtained. After applying numerical continuation techniq ues and ideas from dynamical systems theory, complete bifurcation diag rams are constructed. The principal aim is to investigate the interact ion between different modes of shell vibration. Results for system mod els with two of the lowest modes are discussed. (C) 1998 Academic Pres s Limited.