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Journal of Vibration and Control
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Behavioral Investigation of a Nonlinear Nonideal Vibrating System

Ayman A. El-Badawy

Department of Mechanical Engineering, Al-Azhar University, Cairo, Egypt abadawy{at}aucegypt.edu

This work demonstrates that a simple, reduced-order, nonlinear model provides an effective analytical tool for the treatment of source-structure interactions by applying the theory to an actual structure and developing the appropriate model. The equations of motion were analyzed using perturbation analysis to determine the frequency response of the system in the vicinity of the primary resonance. The theoretical and experimental frequency response curves were compared to deduce the effective nonlinearity coefficient, and it is shown that, at certain critical speeds, the excitation source is severely limited by the structural vibrations generated.

Key Words: Nonideal system • limited power supply • Sommerfeld effect • perturbation

Journal of Vibration and Control, Vol. 13, No. 2, 203-217 (2007)
DOI: 10.1177/1077546307073674
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