DERIVATION OF A FORCE FACTOR EQUATION FOR A LANGEVIN-TYPE FLEXURAL MODE TRANSDUCER

We propose a calculation method for the force factor of a Langevin-typ e flexural mode transducer. In this proposed method, after calculating the flexural vibration mode and the resonance frequency using the ana lytical solution given by Miklowitz for the Timoshenko beam theory, th e farce factor is calculated by substituting the obtained vibration di stribution into the piezoelectric equation. In the calculation of vibr ation distribution, piezoelectric elements bound by metal blocks are c onsidered using the matrix expression of the Miklowitz solutions. Diff erences between calculation results and measurements are within 35% fo r several bonded transducers. Therefore. this calculation method is us eful for the design of Langevin-type flexural mode transducers.