Dynamic Stability and Active Control of Cantilevered Pipes Conveying Fluid : An Attempt of Stabilization by Tendon Control Method

Abstract

Theoretical studies on the dynamic stability and active control of cantilevered pipes conveying fluid are conducted. In order to control the response of the cantilevered pipe, an active control force is derived by the torque produced by a pair of tendons attached to the pipe. The problem is solved by means of the Galerkin method, in conjunction with the optimal regulator theory. The effect of a tendon on the stability of a cantilevered pipe conveying fluid in the uncontrolled system is clarified. Furthermore, the effect of the internal damping is taken into consideration in the present study. The numerical simulation of the response of a cantilevered pipe conveying fluid is also carried out for various conditions. It is found that the active tendon control method is effective to stabilize the cantilevered pipe conveying fluid, even if the control input is limited.