Vibration Analysis And Active Vibration Control Of Intelligent Beam Structure With Stochastic Parameters

Active vibration control for intelligent structures containing piezoelectric materials is a new and challenging field in the project of structure vibration control. This paper deduces the finite element formulation of piezoelectric intelligent beam structures using Hamilton principle adopting finite element model of 6 DOF with 2 electrical DOF. Considering the randomness of physics parameters, geometric parameters and piezoelectric parameters of main structural material and piezoelectric materials and applied static loads, the problem of the structural static response and output voltage analysis based on probability is studied. Considering the randomness of physics parameters, geometric parameters and control gain, the problems of the structural open and closed loop dynamic characteristic analysis based on probability are studied. The problems of dynamic response analysis of closed loop control system based on reliability for the intelligent beam structures with random parameters are studied, in which the randomness of physics parameters and geometric parameters of materials and applied loads and control forces are considered. The formulations of the structural static response, dynamic characteristics and dynamic response based on sensitivity analysis are also deduced in this paper. Finally, the problem of active vibration control for the piezoelectric intelligent beam structure is studied under the PD negative feedback control. The validity of the formulations deduced in this paper and active vibration control model for the piezoelectric intelligent beam structures is demonstrated by means of some examples and the computer simulation.