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
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.