Topology Optimized Vibration Control of a Fluid–Conveying Carbon Nanotube with Non-Uniform Magnetic Field

Abstract

This paper presents an approach to control the fluid-induced vibration of the carbon nanotubes (CNTs) embedded in viscoelastic medium with topology non-uniform magnetic field. Non-local continuum theory and homogenization equivalence are employed to conclude small-scale effects of the carbon nanotube (CNT) and the nanofluid, respectively. Simply supported, fixed–fixed and fixed–pinned fluid–conveying carbon nanotubes (FCCNTs) with sliding and no-sliding ends are chosen as samples to illustrate the control effect of the magnetic field, and the optimal magnetic field distributions are obtained through genetic algorithm (GA). Dynamic characteristics (the eigen-frequencies and the critical velocities) of different FCCNT models are calculated through differential quadrature (DQ) method. The control effects of the magnetic field can be validated through examining the stiffness enhancement of the Ampere’s force. Results present that the eigen-frequencies and critical velocities of different FCCNTs are all raised by 3–13% through the given magnetic fields. Contrasts between different models illustrate that the dynamic stiffness of simply supported FCCNT with no-sliding ends is enhanced mostly by the magnetic field.