Active Vibration Control of Constrained Gyroelastic Body with Optimal Placement of Actuators

The optimal placement of the actuators and the active vibration suppression of the constrained gyroelastic body is studied. By simplifying the model of a single gyroelastic body with variable-speed control moment gyros, the linearized dynamic model of the constrained gyroelastic body is obtained. A new method is proposed for the optimal placement of the actuators. This method is directly based on the vibration responses and vibration energy to determine the optimal placement of the actuators. The objective function is chosen as the optimal value of the linear quadratic regulator control. The optimal placement of the actuators is formulated in the frame of the combinatorial integer optimization problem. The genetic algorithms (GAs) are used to solve the combination problem of the constrained gyroelastic body with a fixed number of actuators. The optimal placement of the actuators with different installation directions is studied. The optimized configurations are used to realize the active vibration suppression. The effectiveness and feasibility of the optimized results by the proposed method are validated by the numerical simulations.