Optimal dimensioning of a piezoelectric bimorph actuator

This article proposes a methodology of design adapted to the optimal dimensioning of piezoelectric actuators. The study relates to a heterogeneous bimorph bar working in bending quasi-static mode. First an analytical model of the bimorph is established on the basis of classically allowed assumptions in theory of the beams and piezoelectricity. The field of validity of this model is then specified by comparison with a computer code by finite elements. Moreover the results obtained are validated and refined using measurements realised on a model of bimorph. The developed model is then exploited within a procedure of automated dimensioning founded on the implementation of a new method of Global Optimization. The possibilities of the developed method are finally illustrated through the dimensioning of a particular piezoelectric actuator intended for a vibratory magnetometric equipment.