Vibration suppression of a rotating flexible cantilever pipe conveying fluid using piezoelectric layers

Abstract

In this study, the governing equations of a rotating cantilever pipe conveying fluid are derived and the longitudinal and lateral induced vibrations are controlled. The pipe considered as an Euler Bernoulli beam with tip mass which piezoelectric layers attached both side of it as sensors and actuators. The follower force due to the fluid discharge causes both conservative and non-conservative work. For mathematical modeling, the Lagrange-Rayleigh-Ritz technique is utilized. An adaptive-robust control scheme is applied to suppress the vibration of the pipe. The adaptive-robust control method is robust against parameter uncertainties and disturbances. Finally, the system is simulated and the effects of varying parameters are studied. The simulation results show the excellent performance of the controller.

Influence of Dry Friction on the Dynamics of Cantilevered Pipes Conveying Fluid

“…Substituting Equations ( 4)- (6) into Equation (1), one can obtain the governing equation for the cantilevered pipe with dry friction: The following assumptions are introduced: (1) the pipe centerline is inextensible;…”

“…During vibration, harsh and harmful noise may be generated and the pipe system tends to be fatigued and damaged, which may cause economic losses and serious safety accidents [3]. Therefore, the dynamic analysis and vibration control of pipes conveying fluid have attracted much attention [4][5][6][7].…”

Dynamic Properties of Coupled Tube-Array Structures with the Axial Loads

“…Hence, the fluid effects on the dynamics of a heat exchanger system must be examined, and they bring the so-called fluid induced vibration. Investigations such as [Papp and Chen (1994), Tian et al (2000), Khajehpoura and Azadib (2015)] have paid attentions to the fluid effect on the dynamic behaviors in a system. It was found that the fluid effect changes markedly the dynamic characteristics of a system.…”

Dynamical Stability of Cantilevered Pipe Conveying Fluid with Inerter-Based Dynamic Vibration Absorber

“…It is generally known that a cantilevered pipe may become unstable and flutter instability would occur when the velocity of the fluid flow in the pipe exceeds a critical value. Indeed, a lot of researchers have endeavored to enhance the stability of cantilevered pipes conveying fluid [7][8][9][10][11][12][13][14][15][16][17], by using either passive or active methods. For instance, Tani et al [12,13] applied a torsional moment to a certain position of the cantilevered fluid-conveying pipe, and then experimentally and numerically studied the suppression effect of the torque on the oscillation responses of the pipe.…”