Analysis on radial vibration of a stack of piezoelectric shells

Abstract The vibration properties of layers of piezoelectric shells are investigated by theoretical analysis, finite element simulation, and experimental measurement. The equivalent admittance of a 2-layered shell is first analyzed based on the admittance equation of a single shell, and the resonant frequencies of shell stacks are then deduced by setting the equivalent admittance to infinity. The analytical expressions are calculated numerically, and the results are expressed in terms of resonant frequencies and bandwidths as a function of average radius. Comparisons with calculation, finite element analysis and measurement show general agreement, although the bandwidth figures show some variations.