Nonlinear Vibration Analysis of Fluid Conveying Microtube under Parametric Magnetic Excitation

In this research, effects of various system parameters on nonlinear response of transverse vibrations of beam-like fluid conveying microtube with fixed simply supported boundary conditions under axial magnetic parametric resonance condition is investigated. Reddy’s first order shear deformation theory and Eringen nonlocal elasticity theory are used to derive microtube nonlinear equations of transverse motion considering nonlinear geometric terms of von-Karman. For fluid flow velocities more than flutter critical velocity, behavior of 2 DoF nonlinear system is studied under parametric magnetic resonance condition. By deriving nonlinear response curves, effects of various parameters including magnetic excitation amplitude, parameter of excitation frequency and nonlocal stress parameter on resonance amplitude is investigated and discussed.