Shear-horizontal vibration of an elastic circular cylindrical shell with two piezoelectric transducers.

We analyze the excitation and detection of shear-horizontal vibrations in a circular cylindrical elastic shell with 2 piezoelectric actuators, one for excitation and the other for detection. The equations of linear elasticity and linear piezoelectricity are used. The mathematical problem is solved using trigonometric series. Basic vibration characteristics including resonant frequencies, mode shapes, and electric output are calculated. It is found that significant responses occur near resonances. The displacement distribution in the elastic shell is particularly strong under and close to the exciting transducer.