Vibration control

Ce mémoire propose une synthèse des travaux de recherche que j’ai réalisés depuis mon arrivée au Laboratoire de Mécanique des Structures et des Systèmes Couplés (LMSSC - EA 3196) du Conservatoire National des Arts et Métiers en septembre 2011 en tant que maître de conférences. Ces travaux ont été menés en collaboration avec d'autres membres du laboratoire, des partenaires académiques aussi bien français qu’étrangers, mais également en partenariat avec des entreprises dans le cadre de contrats de recherche.

Vibration mitigation solutions involving piezoelectric components as sensors and actuators are relatively widespread in the active control community. Yet, structural vibrations can also be reduced by employing piezoelectric material as passive electromechanical transducers able to convert the vibration energy into electrical energy...

A novel finite element (FE) formulation involving external electrical degrees of freedom is proposed for cases dealing with the coupling of mechanical and electrical waveguides through an array of piezoelectric patches. Interconnections between successive periodic unit cells enable the use of the transfer matrix (TM) formalism...

Vibrations of a mechanical structure can be reduced through a piezoelectric coupling to a passive electrical network exhibiting similar modal properties. For the control of a plate, the design of a two-dimensional analogous electrical network is considered...

Le principe du shunt piézoélectrique résonant est étendu au contrôle d'une structure multimodale par multiplication du nombre de patchs piézoélectriques. Ceux-ci sont interconnectés via un réseau élec-trique ayant un comportement modal approximant celui de la structure à contrôler...

The resonant piezoelectric shunt requires specific inductance and resistance values in order to reach an optimum in terms of vibration reduction. Yet, practical limits appear in the low frequency range - the required inductance and the corresponding quality factor are often too high to be satisfied with standard passive components...

A novel Finite Element formulation is proposed for cases involving the coupling of mechanical and electrical waveguides. This allows using the Transfer Matrix formalism proposed in the Wave Finite Element method...

Multimodal damping can be achieved by coupling a mechanical structure to an electrical network exhibiting similar modal properties. Focusing on a plate, a new topology for such an electrical analogue is found from a finite difference approximation of the Kirchhoff–Love theory and the use of the direct electromechanical analogy...

Wave propagation in mechanical structures can be controlled by a coupling to an electrical network exhibiting a similar dispersion relation. The energy transfer between the two media is maximized on a broad frequency range when choosing a network that is the electrical analogue of the structure to control...