Stabilization of a cantilever pipe conveying fluid using electromagnetic actuators of the transformer type

Abstract The article presents an investigation of the stabilization a cantilever pipe discharging fluid using electromagnetic actuators transformer type. With flow velocity reaching critical value, straight equilibrium position becomes unstable, and self-excited lateral vibrations arise. Supplying voltage to yields two opposite effects. First, each attracts pipe, thus introduces effect negative stiffness which destabilizes middle equilibrium. Second, change gap in magnetic circuits actuators, leads oscillations field cores phenomena induction hysteresis that impede motion pipe. combination these non-linear effects is ambiguous, so problem explored both theoretically experimentally. mathematical model system form partial differential equation governing dynamics coupled with ordinary equations electro-magnetodynamics presented. Then, pipe’s discretized Galerkin procedure, resultant set solved numerically. It has been shown overall action positive: increased amplitude post-critical reduced. These results have validated experimentally on test stand.