| Carbon Nanotubes is an important New kind of Nanomaterials discovered in 1991,with its small scale,low density,high strength and high hardness and perfect hollow cylindrical geometry,CNTs have become an important carrier for fluid storage and transport at nanoscale,It is expected to be widely used in storage of hydrogen,drug transportation,chip manufacturing,wearable devices,smart furniture and nanoelectronics.Accordingly,as a typical fluid-solid coupling system with small scale and high velocity,the dynamics of fluid-transporting carbon nanotubes has attracted a great deal of theoretical research at home and abroad.The paper mainly studies how to make carbon nanotube transport fluid more efficient and stable.Based on the nonlocal elastic theory,use Euler-Bernoulli beam model to study the dynamic characteristics of carbon nanotubes in a conservative system under the interaction of temperature field and magnetic field.The contents of this paper are as follows:Firstly,study the dynamics of empty carbon nanotubes under the interaction of temperature field and magnetic field.The vibration control equations and boundary conditions of the system are obtained by using Hamiltonian principle,and then the DTM method is used to solve the higher order partial differential equations.Finally,discuss the effects of applied temperature field and magnetic field on the first order dimensionless natural frequency of the system.Secondly,study the vibration and instability of carbon nanotubes filled with fluid.The Knudsen number is introduced to modify the velocity of fluid in the tube,and the relationship between the velocity of fluid and the mass ratio β of fluid to tube and the fundamental frequency of vibration of the system is discussed in detail.Finally,study the vibration and instability of carbon nanotubes carrying current under the coupling of temperature field and magnetic field.The effects of temperature field,axial magnetic field Knudsen number and small scale parameters on the vibration frequency and the critical velocity of instability are discussed in detail. |
