Active Control Of Vibration Of Pipes Supported On Both Ends Conveying Pulsating Fluid

This paper deal with the problem about active control of parametric resonance of pinned-pinned and clamped-clamped pipes conveying pulsating fluid. In the first place, the stabilities of the pipes are analysed. Then the active controllers are designed in view of the parametric resonance. Piezoelectric ceramics are used as actuators and mode transducer in control.The core part of the paper is the design of controllers. First, on the basis of linear quadratic optimal control theory, the optimal controller is designed in accordance with the linear time invariant part of the system, because the stabilities of the pipes are mainly determined by their linear part and the speed of pulsating fluid varies in small range. Second, on the basis of optimal controller, the independent modal space controller is designed in accordance with the concept of independent modal space. At last, the adaptive controller is designed according to the model reference adaptive control theory.The validity of controllers is examined by numerical simulation. The result of the numerical simulation states that every controller has its characteristic respectively and is very effective to control the parametric resonance of the pipes and to resist parametric turbulence. In addition, the impact of the system parameters on performance of the controllers is discussed in this paper.