This work concerns the modeling and analysis of nonlinear vibrations of thin structures with piezoelectric transduction. This type of structures is used in numerous applications and in particular for the design of micro-electro-mechanical systems (MEMS). This study proposes a numerical strategy to compute efficiently the dynamics of electromechanical problems with geometric non-linearities, i.e. by taking into account both piezoelectric coupling and large structural displacements. The methodology is based on the computation of independent Reduced-Order Models (ROM) obtained from full-order finite element solutions by using a modal projection technique and a non-intrusive STEP (STiffness Evaluation Procedure) approach.
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