期刊
COMPTES RENDUS MECANIQUE
卷 343, 期 12, 页码 680-688出版社
ELSEVIER FRANCE-EDITIONS SCIENTIFIQUES MEDICALES ELSEVIER
DOI: 10.1016/j.crme.2015.07.005
关键词
Tunable phononic crystals; Piezoelectric structures; Electric control; Negative capacitance; Quasistatic stopband
类别
资金
- Labex AMADEUS [ANR-10-LABX-0042-AMADEUS]
- competitiveness cluster Aerospace Valley [ANR-12-BS09-0015]
- Agence Nationale de la Recherche (ANR) [ANR-12-BS09-0015] Funding Source: Agence Nationale de la Recherche (ANR)
Normal propagation of the longitudinal wave through the piezoelectric medium with periodically embedded electrodes is considered. Each pair of electrodes is connected via a circuit with capacitance C. The paper analyzes in detail the unusual features of the dispersion spectrum omega(KT) (K is the Floquet Bloch wavenumber, T is the period) arising in the special case of a negative value of C. The solution of the dispersion equation shows explicitly the evolution of the passbands and stopbands tunable by varying C < 0. One of the striking features is the existence of the poles of ImKT (infinite attenuation) and of the corresponding jumps of the phase ReKT from 0 to pi in the stopbands for a certain range (C-0, C-1) of negative C. Besides, for C is an element of (C-0, C-infinity) where C-infinity < C1, the spectrum possesses a low-frequency absolute stopband starting from the quasistatic limit omega = 0 and including the tunable pole of ImKT inside. This stopband is related to the negative value of the quasistatic effective elastic constant in the range (C-0, C-infinity). At C = C-infinity, the effective constant is infinite while the spectrum degenerates to the straight line K = 0 at any omega. For C close to C-infinity, the spectrum consists of the branches with high group velocity and of the quasiflat branches. (C) 2015 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.
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