Theory of a Very Thin Piezoceramic Hollow Sphere Underwater Sound Radiator

摘要

The theory of the thin shell hollow sphere piezoceramic underwater sound radiator is investigated in detail. Starting with the equations of state an equation of motion is derived for the case of pure radial motion. Formulas are deduced for coefficient of electromechanical coupling, velocity, power conversion, mechanical Q, transmitting pressure, impedance, receiving response, and efficiency. Design charts based on the properties of two popular ceramics are also presented. The limits of validity of the derived equation are also discussed. (Author)