Finite elements based reduced order models for nonlinear dynamics of piezoelectric and dielectric laminated micro/nanostructures
Abstract
This paper presents a general methodology to predict the dynamics of geometrically nonlinear Micro/Nano Electro-Mechanical Systems (M/NEMS) with piezoelectric and dielectric transducers, modelled as laminated thin structures. Modal Reduced Order Models (ROM) are built using finite-element software thanks to a non-intrusive strategy. The resulting system of coupled oscillators is solved with the Harmonic Balance Method (HBM) coupled to an Asymptotic Numerical Method (ANM). The present study focuses on the computation of the ROM, that include the geometrical nonlinear terms and the direct and converse electromechanical couplings. Then, frequency responses and nonlinear modes, including possible internal resonances, are proposed for some particular beams and circular plates M/NEMS architectures.
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