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
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.