STABILITY AND STABILIZATION OF THERMALLY INDUCED VIBRATIONS OF CYLINDRICAL SHELLS

Abstract

A review of the analytical research of smart composite structures that have a relevance to buckling, vibrations, parametric vibrations, and dynamic stability of oneand two-dimensional mechanical systems applied in mechanical and civil engineering is presented. Special attention is paid to the dynamic behavior of circular cylindrical shells due to nonuniform time-dependent temperature fields. The shell is heated, and it is assumed that a time- and space-dependent temperature field is known. To stabilize thermally induced transverse vibrations the host structure is integrated with a control system consisting of piezoelectric sensors and actuators. Distributed piezoelectric elements are implemented to suppress the motion caused by thermal disturbances. Two particular problems are analyzed in detail. The first is devoted to the stability analysis of a closed cylindrical shell subjected to a time-dependent temperature field. The stabilization is obtained by applying the velocity feedback and electroded piezoelectric sensors/actuators with a suitable polarization profile. In the second problem the technique of the dynamic stability analysis is extended to the thermally activated shape memory alloy hybrid rotating cylindrical shell.