NONPERTURBATIVE STABILITY ANALYSIS OF PERIODIC RESPONSES IN DRIVEN NONLINEAR OSCILLATORS

Authors
THYLWE KE GRAVADOR E
Citation
Ke. Thylwe et E. Gravador, NONPERTURBATIVE STABILITY ANALYSIS OF PERIODIC RESPONSES IN DRIVEN NONLINEAR OSCILLATORS, Journal of sound and vibration, 182(2), 1995, pp. 191-207
Citations number
16
Categorie Soggetti
Acoustics
Journal title
Journal of sound and vibration → ACNP
ISSN journal
0022460X
Volume
182
Issue
2
Year of publication
1995
Pages
191 - 207
Database
ISI
SICI code
0022-460X(1995)182:2<191:NSAOPR>2.0.ZU;2-M
Abstract
A linear stability theory for non-linear periodic solutions is present ed in which higher order phase-integral asymptotic approximations are used. The stability matrix is derived in an exact formalism which comb ines Floquet and phase-integral theory. The periodic responses are ass umed given in analytic forms which are accurate in the strongly non-li near regime of system parameters.