Ff. Zhang et al., Calculation of equivalent circuits and impedance response of radially polarized cylindrical thin shell, PROG NAT SC, 11, 2001, pp. S22-S26
Combining the energy and the motion equations in materials, die equivalent
circuits of self-supported and thin film deposited on substrate piezoelectr
ic cylindrical shells are obtained. The simulated results of the impedance
responses of both structures are calculated and discussed.