Nonlinear geometrically exact dynamics of fluid-conveying cantilevered hard magnetic soft pipe with uniform and nonuniform magnetizations

It is generally acknowledged that a hanging cantilevered pipe conveying fluid becomes unstable by flutter-type instability at critical flow velocity; moreover, the undergoes periodic self-excited oscillations in post-flutter region. Additionally, velocity increases when magnetized exposed to an actuating parallel magnetic field. The question arises as whether field leads lessening oscillation amplitude of system nonlinear responses fluid-conveying hard soft with uniform and nonuniform magnetizations under are examined answer question. In case magnetization, pipe’s mass density elastic modulus addition its residual flux density, vary along length. mathematical formulation constructed via geometrically exact model solved employing Galerkin technique conjunction Runge-Kutta finite difference scheme. numerical results then analyzed reveal role magnetization system's magneto-hydro-elastic field's absence presence.