Mathematical modling of subharmonic and superharmonic resonances of piezoelectric sandwich beams
نویسنده
چکیده
The proportional and derivative nonlinear potential feedback controls via piezoelectric sensor and actuator layers are used. A simple and consistent model combining the geometrical nonlinear affects and the feedback control of a piezoelectric/elastic/piezoelectric sandwich beams is derived. A mathematical methodology based on the multiple scales method for nonlinear vibration control of secondary resonances is elaborated. The control of sub and superharmonic resonances is developed. The effects of the two feedback control parameters on the piezoelectric sandwich beams subjected to a harmonic excitation are studied for small and large vibration amplitudes. Frequency-amplitude, phase-amplitude and time response relationships related to sub and superharmonic resonances are explicitly given. The proportional and derivative feedback effects leading to suppression, amplification and translation of the sub and superharmonic resonances are investigated.
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