Optimal Position of Piezoelectric Elements in Flexible Structures Active Vibration Control

Based on the linear quadratic Gauss (LQG) optimal control method, the paper introduces an effective procedure to suppress the vibration of flexible structures with the sensors/actuators are symmetrically collocated on both sides of the same position on the host structure. The model of a piezoelectric intelligent cantilever beam is built by the application of ANSYS software. The D-optimal design principle is adopted which is an optimal method which chosen by the maximum determinant of Fisher information matrix as the criteria function. Studies on the modes shapes and dynamic characteristics of the structure, and converts the selected modes into a unitary form by a simple method, the optimal position of the piezoelectric elements can be confirmed by the mode shapes of the structures. Finally, the paper takes a piezoelectric cantilever beam as an example and gives the step response of the system, the results show the effectiveness of this method.