片持送水管の安定性と圧電アクチュエータによる能動制御

抄録

This paper presents a theoretical study on the dynamic stability of a cantilevered pipe conveying fluid and the active control to stabilize it. The active control force is derived from the bending moment produced by a piezoelectric actuator partially attached to the pipe. The equation of motion is reduced to a finite-degree-of-freedom system by Galerkin's method. A control law is determined using the eptimal-regulator theory. It is shown that in the case where fluid is drawn in from the free end, the mass and rigidity of the actuators has an opposite effect on the dynamic stability of the cantilevered pipe to the spouting case, Moreover, the optimal location of the actuator and effects of error in the mass and rigidity of the actuator on the stability of the control system are discussed.