Electromechanical modelling and vibration control analysis of cyclic symmetric structures with piezoelectric vibration absorber

Abstract

This study explores the application of piezoelectric tuned vibration absorbers (PTVAs) equipped with synthetic circuits for the vibration suppression of cyclic symmetry structures. A cyclic symmetry electro-mechanical model (CSEM) of the structure integrated with PTVAs is introduced to facilitate the design and optimization process of the PTVAs. This model is formulated analytically drawing upon circulant matrices theory, and the dynamic response is computed using the complex mode superposition method with explicit consideration of the intrinsic resistance within the PTVA.Acase study involving a simplified blisk model along with an experimental test rig, has been conducted to validate the proposed CSEM. The validity of the model is confirmed through comparative analysis of both the natural and dynamic characteristics obtained via finite element modeling (FEM) and experimental results. Furthermore, the study explores the impact of synthetic circuit parameters (inductance and negative capacitance values), as well as the placement of piezoelectric patches on the vibration suppression performance of PTVA. The
results suggest optimal inductance alignment with that derived from the analytical formula, while the optimal series negative capacitance is slightly greater than the intrinsic capacitance of the patch. Additionally, mounting the patch at the blade root is shown to confer advantages for vibration suppression.

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ORCID for Jie Yuan: orcid.org/0000-0002-2411-8789

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