NORMAL-MODES AND NEAR-RESONANCE RESPONSE OF BEAMS WITH NONLINEAR EFFECTS

Citation
G. Chakraborty et al., NORMAL-MODES AND NEAR-RESONANCE RESPONSE OF BEAMS WITH NONLINEAR EFFECTS, Journal of sound and vibration, 210(1), 1998, pp. 19-36
Citations number
8
Categorie Soggetti
Acoustics
ISSN journal
0022460X
Volume
210
Issue
1
Year of publication
1998
Pages
19 - 36
Database
ISI
SICI code
0022-460X(1998)210:1<19:NANROB>2.0.ZU;2-1
Abstract
Non-linear normal modes and the associated frequencies of a uniform be am with simply-supported or clamped conditions at both ends have been derived. Some restricted orthogonality conditions have been pointed ou t. The effects of the longitudinal inertia on the non-linear transvers e motion are shown to be extremely small. The efficacy of using the no n-linear normal modes towards computation of near-resonance response h as been clearly brought out. (C) 1998 Academic Press Limited.