Transfer Matrix Method for Natural Frequency Analysis of a Sandwich Transducer

Abstract

In this paper, the transfer matrix method is studied to achieve a fast and accurate analysis of the natural frequency of a sandwich transducer. Although a sandwich transducer gets its structural parameters based on the half-wavelength theory, there is no easy way to verify its natural frequency, which may cause the transducer to work less efficiently. Firstly, the continuous elastic body became a multi-degree-of-freedom system consisting of a plurality of massless spring sections and mass-concentrated blocks after equivalence and discretization. Secondly, the system's natural frequency was obtained after deriving the system matrix. Finally, it was compared with the results obtained by the finite element method and the pulse excitation method. It is proved that the transfer matrix method can be used to analyze the natural frequency of the sandwich transducer.