Abstract
A recently proposed tuning method for resistive-inductive (RL) shunts is implemented in a commercial finite element (FE) code (ANSYS®). A main result of the paper is therefore the consistent formulation of the tuning method in terms of variables directly available as solutions in any commercial FE code: The two natural frequencies associated with short- and open-circuit (SC and OC) electrodes and a modal charge obtained as the electrical SC reaction force. An alternative method is based on quasi-static solutions with SC and OC electrodes, convenient for both numerical analysis and experiments. The proposed shunt tuning method is suitable for implementation in any commercial FE software supporting electromechanical analysis and ANSYS® has been used to assess its accuracy for a piezoelectric smart plate benchmark problem. The method is finally extended to multiple piezoceramic patches, placed symmetrically on the structure and shunted to a single RL network, whereby more vibration modes can be effectively controlled for the specific plate problem.
Highlights
Piezoelectric transducers attached locally to a host structure enable dissipation of converted mechanical energy into heat by a supplemental resonant shunt
A newly proposed RL shunt calibration procedure based on the effective electromechanical coupling coefficient (EMCC) is generalized and demonstrated suitable for implementation in the commercial ANSYS® finite element (FE) code
The calibration procedure includes the effects of the non-resonant vibration modes, which are assumed to contribute by flexibility and inertia effects
Summary
Piezoelectric transducers attached locally to a host structure enable dissipation of converted mechanical energy into heat by a supplemental resonant shunt The latter is often designed as a series or parallel connection of a resistance (R) and an inductance (L), whereby the effect on the host structure from the electromechanical transducer corresponds to an inerter-based absorber [1]. Actual calibration procedures were subsequently derived first for the series [3] and since for the parallel shunt circuit [4] Both calibration methods are based on a single mode representation of the vibrating host structure and are governed by the resonant frequency of a targeted vibration form and the capacitive properties of the piezoelectric transducer(s). Correction terms, that represent the interaction with non-resonant modes, are consistently derived from the natural frequencies obtained by the three eigenvalue problems associated with piezoelectric SC and OC electrodes and a pure inductive shunt. The aim of the paper is to introduce an adapted calibration procedure that is suitable for use and implementation in commercial FE software and consistently incorporates the effective EMCC to accurately represent the effects from non-resonant modes in a flexible structure
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