Theory of curved clamped PVDF acoustic transducers

Differential equations in the cylindrical coordinate system have been solved to calculate vibration mode of a curved, clamped, piezoelectric multi-layer film. Type-I has two clamps at straight ends with uniform film curvature and type II has the same two clamps with non-uniform curvature in which the radii are different for the central region and for side regions near clamps. Results of numerical calculations on various unique features of acoustic transducers were presented.