Modal-based synthesis of passive electrical networks for multimodal piezoelectric damping

TL;DR

This paper introduces a modal-based method to design passive electrical networks that effectively damp multiple vibration modes in structures using piezoelectric transducers, optimizing resonance and coupling for improved vibration control.

Contribution

It presents a novel modal synthesis approach for passive electrical networks tailored to multimodal piezoelectric damping, ensuring passivity and enhanced electromechanical coupling.

Findings

Effective vibration mitigation demonstrated on a free-free beam.

Optimized electrical resonance frequencies improve damping performance.

Maximized electromechanical coupling enhances energy transfer efficiency.

Abstract

This work presents a new approach to design an electrical network which, when coupled to a structure through an array of piezoelectric transducers, provides multimodal vibration mitigation. The characteristics of the network are specified in terms of modal properties. On the one hand, the electrical resonance frequencies are chosen to be close to those of the targeted set of structural modes. On the other hand, the electrical mode shapes are selected to maximize the electromechanical coupling between the mechanical and electrical modes while guaranteeing the passivity of the network. The effectiveness of this modal-based synthesis is demonstrated using a free-free beam and a fully clamped plate.