Active vibration control of a submerged cylindrical shell by piezoelectric sensors and actuators

The active vibration control of a submerged cylindrical shell by piezoelectric sensors and actuators is investigated. The fluid is assumed to be inviscid and irrotational in developing a theoretical model. The cylindrical shell is modelled by using the Rayleigh- Ritz method based on the Donnell-Mushtari shell theory. The fluid motion is modelled based on the baffled shell model, which is applied to the fluid-structure interaction problem. The kinetic energy of the fluid is derived by solving the boundary-value problem. The resulting equations of motion are expressed in matrix form, which enables us to design control easily. The natural vibration characteristics of the cylindrical shell in air and in water are investigated both theoretically and experimentally. The experimental results show that the natural frequencies of the submerged cylindrical shell decrease to a great extent compared the natural frequencies in air. However, the natural mode shapes for lower modes are not different from the mode shapes in air. Two MFC actuators were glued to the shell and the positive position feedback control was applied. Experiments on the active vibration control of the submerged cylindrical shell were carried out in water tank. Both theoretical and experimental results showed that both vibrations and sound radiation can be suppressed by piezoelectric actuators.