Modelling and comparison of cantilever beams withan active-passive hybrid piezoelectric network

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Journal of Vibration and Shock ›› 2017, Vol. 36 ›› Issue (3) : 98-104.

LI Mingming1,HUANG Chunrong2,FANG Bo3,DUAN Lei1

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Abstract

Taking an Euler-Bernoulli cantilever beam as the study object, active-passive hybrid piezoelectric network (APPN) was analyzed and optimized. Hamilton’s principle and Rayleigh-Ritz method were used to build the dynamic models of the cantilever beam with integrated and separated APPNs, respectively. Parametric optimization was performed for resistance and inductance in the APPN. Furthermore, the velocity feedback control was employed to design the active controller and the open-loop and closed-loop characteristics of the cantilever beams with integrated and separated APPNs, respectively were simulated andn analyzed. The numerical results showed that both integrated and separated APPNs can suppress the structures’ vibrations effectively; compared with the pure active control, the integrated APPN has a better vibration control performance in narrow frequency bands, while the separated APPN has a better vibration control performance in broader frequency bands than both the integrated APPN and the pure active control do.

Key words

active-passive hybrid piezoelectric network / Euler-Bernoulli cantilever beam / Hamilton's principle / Rayleigh-Ritz method / velocity feedback control

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LI Mingming1,HUANG Chunrong2,FANG Bo3,DUAN Lei1. Modelling and comparison of cantilever beams withan active-passive hybrid piezoelectric network[J]. Journal of Vibration and Shock, 2017, 36(3): 98-104

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