Principal parametric resonances of elastic plates actuated by periodic in-plane stresses prescribed by embedded piezoelectric wires are investigated to describe the morphing scenarios of flexible, ultra-lightweight panels. A mechanical model of elastic plate including geometric nonlinearities, and considering the parametric actuation provided by the piezoelectric wires, is adopted to formulate the nonlinear equation of motion. Bifurcation analysis is carried out by means of an asymptotic approach based on the method of multiple scales leading to a comprehensive parametric study on the effect of the wires cross-sectional size on the morphing regions (i.e., parametric instability regions) associated with the principal parametric resonances. The threshold voltages for the activation 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

Division / Sponsors: 
Design Engineering Division and Computers & Information In Engineering Division


Paper Proceedings: https://asmedigitalcollection.asme.org/IDETC-CIE/IDETC-CIE2020/volume/83907

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