Active modal control of Timoshenko pipes conveying fluid

This paper deals with vibration control of Timoshenko pipes conveying fluid . Excessive vibration in this flow induced vibration problem is suppressed via an active feedback control scheme. The strategy of the active vibration suppression technique will be presented and system dynamics formulated. Op timal independent modal space control technique is applied for best obtaina ble system performance. The computation consideration. implementation of co ntrol strategy, and the effectiveness of the control scheme are addressed. A finite element method is used for both the vibration and control analyses of the problem considered. Classical analysis by solving the partial diffe rential equation is only applicable to systems with simple boundary conditi ons, such as simply supported pipes. When a more complex situation occurs, a closed form expression becomes very difficult, if not impossible, to obta in. The use of a finite element approach alleviates such deficiencies and i s readily applicable to pipes with intermediate supports, nonuniform cross sections, and flexible supports. The problem of a large model size for the control system due to the use of the finite element approach is avoided by using the control technique presented. It is demonstrated in this work that a critical damping design can be achieved for the targeted mode controlled disregarding how large the model size is.