Differential Quadrature Method for Analyzing Stability of Magnetic-fluid Conveying Carbon Nanotube
A vibration differential equation for a single-walled carbon nanotube(SWCNT)conveying magnetic-fluid subjected to a longitudinal magnetic field was established,based on magnetohydrodynamic(MHD)equa-tions and the nonlocal Euler-Bernoulli beam model.The differential quadrature method(DQM)was applied to solve this high-order partial differential equation under clamped boundary conditions,focusing on the effects of magnetic fluid,axial magnetic field,and small-scale parameters(magnetic fluid Knudsen number Kn and car-bon nanotube small-scale coefficient)on the vibration and instability characteristics of the system.Numerical results show that the longitudinal magnetic field enhances system stiffness and stability,while small-scale parameters reduce system stability.Specifically,in a clamped boundary system,the magnetic fluid reduces the stiffness of the conveying system under the influence of a magnetic field,but it can enhance the stability.
carbon nanotubemagnetic-fluidlongitudinal magnetic fieldsmall-scale effect
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