F. Lalande et al., IMPEDANCE-BASED MODELING OF ACTUATORS BONDED TO SHELL STRUCTURES, Journal of intelligent material systems and structures, 6(6), 1995, pp. 765-775
When discrete piezoelectric actuator patches bonded on structures are
used for active shape, vibration, and acoustic control, the desired de
formation field in the structure is obtained through the application o
f localized line forces and moments generated by expanding or contract
ing bonded piezoelectric actuators. An impedance-based model to predic
t the dynamic response of cylindrical shells subjected to excitation f
rom surface-bonded induced strain actuators is presented. The essence
of the impedance approach is to match the actuator impedance with the
structural impedance at the ends of the actuators, which will retain t
he dynamic characteristics of the actuators. A detailed derivation of
the actuator and structural impedance is included. It is found that th
e actuator's output dynamic force in the axial and tangential directio
n are not equal. Various case studies of a cylindrical thin shell are
performed to illustrate the capabilities of the developed impedance mo
del. Out-of-phase actuation is shown to be the most efficient in excit
ing the lower order bending modes of shell structures. The paper is co
ncluded with a finite element analysis verification of the derived imp
edance model.