Venkata R. Sonti
James D. Jones
1077 Ray W. Herrick Labs, School of Mech. Eng., Purdue Univ., West Lafayette, IN 47097-1077
An analytical model of curved piezo-actuators (for active noise and vibration control of cylindrical shells) is developed using Love's theory of thin shells. It is found that a curved uniformly polarized piezo-actuator of standard size exerts five types of effective forces. The amplitude variation of these effective forces as a function of the actuator thickness shows that some of the forces attain an optimum value for a specific thickness. Also, single-sided and double-sided actuator configurations are examined. The double-sided case includes actuators driven in-phase and out-of-phase. It is found that under some of the various configurations considered above different sets of forces reinforce or cancel each other. The model is developed under the assumption that the actuator size is small in comparison to the cylindrical shell and thus it does not cause any appreciable change in the overall mass or stiffness of the system. The validity of the assumption is tested by evaluating the response of the shell to the actuator in two ways, one neglecting and the other including the mass and stiffness of the actuator.