Deducing and verifying the frequency equation set of dual-frequency piezoelectric transducer

Two different operating frequencies were required in dual-frequency piezoelectric transducers, a frequency equation set that satisfy with the requirement were deduced in this paper. Some different dual-frequency piezoelectric transducers were designed; then modal analysis and frequency response analysis for these transducers model were completed with ANSYS software, the frequencies obtained by simulation were very close to the design values. Thereby the frequency equation set has been verified.