New piezoelectric shunt tuning method based on the effective electromechanical coupling coefficient: Validation and 3D implementation

In the present work, a newly proposed resonant shunt tuning method is implemented in the commercial ANSYS® finite element (FE) code. For this purpose, the tuning method is written in a more general format that does not explicitly contain the resulting plane stressreduced piezoelectric coupling coefficient. This new compact format of the proposed shunt tuning method is demonstrated suitable for implementation in ANSYS®. Further, ANSYS® three-dimensional (3D) modelling has allowed the assessment of an earlier developed platepatches simplified two-dimensional (2D) FE model and the validation of the corresponding piezoelectric smart beam and plate benchmarks. It was found that the formerly established 2D model, using Kirchhoff plate and purely in-plane FEs, approximates the smart structures rather accurately, when the vertical masses from the piezoceramic patches are included. At last, it was found that the optimal shunt tuning, beneficially can be based on the effective electromechanical coupling coefficient, short circuit target resonant frequency and the associated modal sensed charge of the electromechanical structure.