To enhance the generality and flexibility of active constrained layer damped (ACLD) forms
used in vibration control for circular cylindrical shells, the piezoelectric layer of the ACLD
form is divided into several sub-blocks by thin insulated layers, and the sub-blocks are
integrated on the viscoelastic layer continuously in the circumferential direction. In
addition, on the basis of the authors' recent research on passive constrained layer
damped (PCLD) circular cylindrical shells, the piezoelectric effects of the constrained layer
(made of piezoelectric material) are further considered. Then, the integrated first-order
differential equation for such an ACLD (partially treated in the axial direction) circular
cylindrical shell is derived by reformulating the integrated first-order differential
equation for the PCLD circular cylindrical shell. Next, employing the extended
homogeneous capacity precision integration approach and the superposition principle,
a high precision semi-analytical method is developed for solving the dynamic
problem for such ACLD circular cylindrical shells. Subsequently, several kinds of
circumferential modal control strategy are compared by the method presented.
Furthermore, the concept of a circumferential dominant modal control strategy
is proposed, which is different from the traditional modal control method. The
numerical results show that, on applying the circumferential dominant modal
control strategy, the ACLD cylindrical shell attenuates the vibration better. Lastly,
some influence factors for the circumferential dominant modal control strategy
affecting the damping effect of ACLD circular cylindrical shells are also investigated.