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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Dynamics and wave propagation in nonlinear piezoelectric metastructures

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Author(s):
Mosquera-Sanchez, J. A. [1] ; De Marqui, C. [1]
Total Authors: 2
Affiliation:
[1] Univ Sao Paulo, Sao Carlos Sch Engn, Dept Aeronaut Engn, Av Joao Dagnone 1100, BR-13563120 Sao Carlos, SP - Brazil
Total Affiliations: 1
Document type: Journal article
Source: NONLINEAR DYNAMICS; v. 105, n. 4 AUG 2021.
Web of Science Citations: 0
Abstract

This paper reports dynamical effects in one-dimensional locally resonant piezoelectric metastructures leveraged by nonlinear electrical attachments featuring either combined quadratic and quartic, or essentially quartic potentials. The nonlinear electromechanical unit cell is built upon a linear host oscillator coupled to a nonlinear electrical circuit via piezoelectricity. Semi-analytical harmonic balance (HB)-based dispersion relations are derived to predict the location and edges of the nonlinear attenuation band. Numerical responses show that weakly and moderately nonlinear piezoelectric metastructures (NPMSs) promote a class of nonlinear attenuation band where a bandgap and a wave supratransmission band coexist, while also imparting nonlinear attenuation at the resonances around the underlying linear bandgap. Besides, strongly nonlinear regimes are shown to elicit broadband chaotic attenuation. Negative capacitance (NC)-based essentially cubic piezoelectric attachments are found to expand the aforementioned effects over a broader bandwidth. Excellent agreement is found between the predictions of the HB-based dispersion relations and the nonlinear transmissibility functions of undamped and weakly damped NPMSs at weakly and moderately nonlinear regimes, even in the presence of NC circuits. This research is expected to pave the way toward fully tunable smart periodic metastructures for vibration control via nonlinear piezoelectric attachments. (AU)

FAPESP's process: 18/15894-0 - Periodic structure design and optimization for enhanced vibroacoustic performance: ENVIBRO
Grantee:Carlos de Marqui Junior
Support Opportunities: Research Projects - Thematic Grants
FAPESP's process: 18/14546-9 - Control and energy harvesting from low-frequency vibro-acoustic disturbances with smart metastructures
Grantee:Jaime Alberto Mosquera Sánchez
Support Opportunities: Scholarships in Brazil - Post-Doctoral