论文信息 - Investigation of subcombination internal resonances in cantilever beams

Investigation of subcombination internal resonances in cantilever beams

Activation of subcombination internal resonances in transversely excited cantilever beams is investigated. The effect of geometric and inertia nonlinearities, which are cubic in the governing equation of motion, is considered. The method of time-averaged Lagrangian and virtual work is used to determine six nonlinear ordinary-differential equations governing the amplitudes and phases of the three interacting modes. Frequency- and force-response curves are generated for the case ω ≈ ω4 ≈ 1/2(ω2

Ali H. Nayfeh | Haider N. Arafat

[1] A. Nayfeh,et al. A theoretical and experimental investigation of a three-degree-of-freedom structure , 1994 .

[2] A. H. Nayfeh,et al. An Experimental Investigation of Multimode Responses in a Cantilever Beam , 1997 .

[3] A. Nayfeh. Introduction To Perturbation Techniques , 1981 .

[4] Ali H. Nayfeh,et al. Modal interaction in circular plates , 1990 .

[5] Matthew P. Cartmell,et al. Simultaneous combination resonances in an autoparametrically resonant system , 1988 .

[6] C. L. Zaretzky,et al. Nonlinear flexural-flexural-torsional interactions in beams including the effect of torsional dynamics. I: Primary resonance , 1994, Nonlinear Dynamics.

[7] J. W. Roberts,et al. NON-LINEAR VIBRATORY INTERACTIONS IN SYSTEMS OF COUPLED BEAMS , 1986 .

[8] Ali H. Nayfeh,et al. Nonlinear combination resonances in cantilever composite plates , 1996 .

[9] A. H. Nayfeh,et al. Non-linear resonances in the forced responses of plates, part 1: Symmetric responses of circular plates , 1975 .

[10] K. Weiss. Vibration Problems in Engineering , 1965, Nature.

[11] C. L. Zaretzky,et al. Nonlinear flexural-flexural-torsional interactions in beams including the effect of torsional dynamics. II: Combination resonance , 1994 .

[12] A. Nayfeh,et al. Nonlinear Analysis of the Lateral Response of Columns to Periodic Loads , 1978 .