Control of smart rotating laminated composite truncated conical shell using ACLD treatment

Abstract

This paper deals with the active vibration control of thin rotating laminated composite truncated conical shells using vertically and obliquely reinforced 1-3 piezoelectric composite (PZC) materials as the constraining layer of an active constrained layer damping (ACLD) treatment. A finite element model has been derived to formulate the dynamics of the rotating thin laminated truncated conical shells integrated with the patches of ACLD treatment. Hamilton′s principle has been used to derive the equations of motion of rotating shell integrated with patches. The finite element model includes the effects of the Coriolis, Centrifugal acceleration, and the initial hoop tension caused due to rotation. The effectiveness of these patches for the vibration attenuation of thin rotating symmetric/antisymmetric cross-ply and antisymmetric angle-ply laminated truncated conical shell has been examined. Both in-plane and out-of-plane actuations of the constraining layer of the ACLD treatment has been utilized. The effects of variation of the semi-cone angle and the rotational speed of the shell on the performance of these patches have been investigated. Particular emphasis has been placed on ascertaining the performance of patches when the orientation angle of the piezoelectric fibers in the constraining layer is varied in two mutually orthogonal vertical planes. It is found that the maximum performance of patches is obtained for the piezoelectric fiber orientation angle of 0° and the vertically and obliquely reinforced 1-3 PZCs have great potential for controlling the vibration of rotating shells.