Stochastic Dynamic Analysis of Nonlinear Vibration of Fluid-conveying Double-walled Carbon Nanotubes Based on Nonlocal Elasticity Theory

摘要

This study deals with the stochastic dynamic behaviors of nonlinear vibration of the fluid-conveying double-walled carbon nanotubes (DWCNTs) by considering the effects of the geometric nonlinearity and the nonlinearity of van der Waals (vdW) force. Besides, the small scale effects of the nonlinear vibration of the DWCNTs are investigated by using the theory of nonlocal elasticity. Some statistical dynamic response of the DWCNTs such as the mean values and standard deviations of the amplitude of the displacement are computed, meanwhile the effects of the flow velocity and small scale coefficients on the statistical dynamic response of the DWCNTs are investigated. It is concluded that the mean value and standard deviation of the amplitude of the displacement increase nonlinearly with the increase of the frequencies and change slightly as the flow velocity increases. Furthermore, small scale coefficients have significant influence on the mean value and standard deviation of the amplitude of the DWCNTs.