Principal parametric resonances of elastic plates actuated by periodic in-plane stresses effected by embedded piezoelec-tric wires are investigated to describe the morphing scenarios of flexible, ultra-lightweight panels. A mechanical model of elastic plate including geometric nonlinearities and the parametric actuation provided by the piezoelectric wires, is adopted to for-mulate the nonlinear equation of motion. A bifurcation analysis is carried out by means of an asymptotic approach based on the method of multiple scales leading to a comprehensive paramet-ric study on the effect of the wires width on the morphing regions (i.e., parametric instability regions) associated with the princi-pal parametric resonances. The threshold voltages triggering the onset of the principal parametric resonances of the lowest three symmetric modes are also calculated as a function of the wires size so as to determine the voltage requirements for the morphing activation.
DYNAMIC MORPHING of ELASTIC PLATES VIA PRINCIPAL PARAMETRIC RESONANCE / Arena, A.; Lacarbonara, W.. - 2:(2020), pp. 1-8. (Intervento presentato al convegno ASME 2020 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC-CIE 2020 tenutosi a Virtual, online) [10.1115/DETC2020-22470].
DYNAMIC MORPHING of ELASTIC PLATES VIA PRINCIPAL PARAMETRIC RESONANCE
Arena A.
Primo
;Lacarbonara W.
2020
Abstract
Principal parametric resonances of elastic plates actuated by periodic in-plane stresses effected by embedded piezoelec-tric wires are investigated to describe the morphing scenarios of flexible, ultra-lightweight panels. A mechanical model of elastic plate including geometric nonlinearities and the parametric actuation provided by the piezoelectric wires, is adopted to for-mulate the nonlinear equation of motion. A bifurcation analysis is carried out by means of an asymptotic approach based on the method of multiple scales leading to a comprehensive paramet-ric study on the effect of the wires width on the morphing regions (i.e., parametric instability regions) associated with the princi-pal parametric resonances. The threshold voltages triggering the onset of the principal parametric resonances of the lowest three symmetric modes are also calculated as a function of the wires size so as to determine the voltage requirements for the morphing activation.File | Dimensione | Formato | |
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