Optimum placement of piezoelectric ceramic modules for vibration suppression of highly constrained structures

Abstract

The vibration suppression efficiency of so-called shunted piezoelectric systems is decisively influenced by the number, shape, dimensions and position of the piezoelectric ceramic elements integrated into the structure. This paper presents a procedure based on evolutionary algorithms for optimum placement of piezoelectric ceramic modules on highly constrained lightweight structures. The optimization loop includes the CAD software CATIA V5, the FE package ANSYS and DynOPS, a proprietary software tool able to connect the Evolving Object library with any simulation software that can be started in batch mode. A user-defined piezoelectric shell element is integrated into ANSYS 9.0. The generalized electromechanical coupling coefficient is used as the optimization objective. Position, dimensions, orientation, embedding location in the composite lay-up and wiring of customized patches are determined for optimum vibration suppression under consideration of operational and manufacturing constraints, such as added mass, maximum strain and requirements on the control circuit. A rear wing of a racing car is investigated as the test object for complex, highly constrained geometries.

Optimization of Shunted Piezoelectric Patches for Vibration Reduction of Complex Structures: Application to a Turbojet Fan Blade

“…Sous certaines hypothèses, qui sont rappelées ici, [130,46] ont pu passer d'une formulation habituelle avec variables électriques locales, à une formulation faisant intervenir des variables électriques globales pour chaque pastille piézoélectrique (V (p) , Q(p)). Cette formulation simplifiée est ensuite utilisée afin de construire un modèle éléments finis [130,22,24]. Le lecteur est invité à consulter [46,130] pour une description complète des différentes étapes de calcul.…”

“…Comme énoncé précédemment, l'optimisation mécanique est une étape primordiale puisque la position et la géométrie des pastilles piézoélectriques ont une grande influence sur la performance des shunts [24,53]. Plus précisément, trouver les paramètres du système qui maximisent les k i relève du domaine de l'optimisation combinatoire.…”

Vibration Control by Means of Piezoelectric Actuators Shunted withLRImpedances: Performance and Robustness Analysis

“…In addition to the impedance optimization, several studies have investigated the influence of the geometry and placement of the piezoelectric actuator on the performances of the controller. A number of studies to optimize geometry and position of the piezo-actuator have been carried out on the basis of finite element model analysis [11][12][13][14]. Instead Ducarne et al proposed a method to optimise the geometry and the placement of the piezo-actuator, in order to increase the damping efficiency by maximizing the Modal Electro-Mechanical Coupling Factor (MEMCF) [15].…”

Enhanced electromechanical coupling of piezoelectric system for multimodal vibration

“…For example, modal-based correction methods were applied by Rose for the placement of piezoelectric patches on a circular plate [11]. Belloli and Ermanni [12] made the application in practice and his target structure to be controlled was the rear wing of a racing car. The optimal placement of piezoelectric actuators on plate structure for active vibration control was considered and obtained by Vashist and Chhabra using genetic algorithm [13].…”