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Meyer Y.,Superior Institute of Mechanics of Paris SUPMECA Paris | Yvars P.-A.,Superior Institute of Mechanics of Paris SUPMECA Paris
Engineering Optimization

This article is concerned with the optimization of the mechanical structure of a one-degree-of-freedom vibration isolator. An efficient optimization algorithm based on an interval-computation method is used. The authors general objective is to include and develop an optimization step in the pre-design process of a smart structure. In this article, the idea of this pre-design is to obtain, very quickly and very simply, the global structural geometry of the passive isolation device. For this purpose, a simplified mathematical model is built, which describes the main natural mode shapes of the suspension device. The method is applicable to large-scale dynamic systems for a first optimization process step because it's clearly an effective time-saving optimization approach. The results obtained are quite sufficient for a first pre-design step. For a real case scenario, the optimized structure is applied to a numerical active vibration control process. © 2012 Copyright Taylor and Francis Group, LLC. Source

Meyer Y.,Superior Institute of Mechanics of Paris SUPMECA Paris | Cumunel G.,Superior Institute of Mechanics of Paris SUPMECA Paris
Smart Materials and Structures

Piezoelectric and geometrical nonlinear effects on a MEMS isolation device are studied in this paper. The objective is to obtain an accurate modeling of the microstructure, which is a laminated piezocomposite clamped-clamped beam, in order to develop high performance active vibration isolation devices. First, a mathematical modeling, with the governing equations of the beam taking into account geometrical nonlinearities as well as piezoelectric nonlinearities is described and implemented into COMSOL software. Then, the geometrical nonlinear effects of our modeling are validated by comparison with a benchmark from literature. For piezoelectric nonlinearities, the piezoelectric coefficient of actuators is experimentally identified and its polynomial dependence on input voltage is shown. Finally, the frequency-response curves obtained with our modeling for different input voltage amplitudes are presented and discussed. The limitations of the usual basic formulation, where the governing equations are linear and the piezoelectric coefficient is constant, are given. © IOP Publishing Ltd. Source

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