Modal interactions in an autoparametric vibration absorber to narrow band random excitation
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The main objectives of this study are to examine the random responses of a vibration absorber system with autoparametric coupling in the neighborhood of internal resonance subjected to narrow band random excitation by Gaussian closure scheme and to compare the results with those obtained by Monte Carlo simulation. The Monte Carlo simulation is found to support the main features of the nonlinear modal interaction in the neighborhood of internal resonance conditions. The jump phenomenon of the cantilever mode and saturation phenomenon of the main system are shown to occur if the excitation bandwidth is sufficiently small.
Key WordsInternal Resonance Autoparametric Vibration Absorber Narrow Band Random Excitation Gaussian Closure Scheme Jump Saturation Phenomenon Monte Carlo Simulation
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- Haxton, R. S. and Barr, A. D. S., 1972, “The Autoparametric Vibration Absorber,”ASME Journal of Engineering for Industry, Vol. 94, pp. 119–125.Google Scholar
- Ibrahim, R. A., 1991, “Nonlinear Random Vibration: Experimental Results,”Applied Mechanics Review, Vol. 44, pp. 423–446.Google Scholar
- Lee. W. K. and Cho, D. S, 1998, “Influence of Internal Resonance on Responses of a Spring-Pendulum System under Broad Band Random Excitatiom,”Journal of KSNVE, Vol. 8, No. 3, pp. 399–407.Google Scholar
- Lin, Y. K. and Cai, G. Q., 1995,Probabilistic Structural Dynamics Advanced Theory and Application, McGraw-Hill, Inc.Google Scholar
- Nayfeh, A. H. and Mook, D. T., 1979,Nonlinear Oscillation, Wiley-Interscience.Google Scholar