Inverse model of the piezoelectric ceramic polarization under wide bandwidth mechanical excitations with fractional derivative consideration

Abstract : This paper presents an inverse piezoelectric ceramic polarization model, T(P)), working in wide bandwidth under various mechanical excitations. The model was derived from the polarization model under electric field, P (E), by use of the correlation (E = α · T · P) between the external mechanical excitation and piezoelectric ceramic electric field. Using the model, T(P), a given polarization could be obtained by calculating the mechanical stress waveform applied to the ceramic. The piezoelectric ceramic P188 was investigated in the experiment; measurement bench and procedures have been developed to evaluate the accuracy of the model. By means of modeling dynamic counterpart (a fractional derivative part), large range of frequency 10 -3 Hz < f < 10 Hz) imposed polarization have been examined and experimental results turned out to be good both with sinusoidal and triangular waveforms. The same fractional derivative operator is universal both in mechanical and electrical excitations. © 2013 Springer Science+Business Media New York.
Document type :
Journal articles
Liste complète des métadonnées

https://hal.archives-ouvertes.fr/hal-01770270
Contributor : Hal Lgef <>
Submitted on : Wednesday, April 18, 2018 - 5:41:33 PM
Last modification on : Wednesday, December 12, 2018 - 3:18:04 PM

Identifiers

Collections

Citation

B. Zhang, B. Ducharne, D. Guyomar. Inverse model of the piezoelectric ceramic polarization under wide bandwidth mechanical excitations with fractional derivative consideration. Optical and Quantum Electronics, Springer Verlag, 2014, 46 (1), pp.103-110. ⟨10.1007/s11082-013-9710-4⟩. ⟨hal-01770270⟩

Share

Metrics

Record views

39