Understanding the electromechanical admittance of piezoelectric transducers collocated on a finite beam from the perspective of wave propagation

This article analytically investigates the electromechanical admittance of piezoelectric transducers collocated on a finite beam from the perspective of wave propagation. First, the analytic solutions are derived for flexural waves induced by piezoelectric transducers collocated on an infinite beam. Then, the concept of a flexural wave group is used to express the analytic solutions for flexural waves reverberating on a finite beam. Detailed formulation is presented to describe the evolution of resonance of a beam and the corresponding electromechanical signatures induced by flexural wave groups. The validity of the proposed formulation has been demonstrated through a proof-of-concept numerical simulation providing more rigorous physical insight on the relevance between the flexural wave groups and the electromechanical signatures within the relatively low-frequency range.