力-热-磁耦合场中碳纳米管振动问题研究

Vibration of carbon nanotubes in stress-thermal-magnetic coupling field

采用由Eringen非局部理论和梯度弹性模型相结合的统一应力应变梯度弹性模型,推导了置于Kelvin-Voigt粘弹性基础上的碳纳米管在力-热-磁耦合场中的振动控制方程.考虑单壁碳纳米管的小尺度效应、粘弹性阻尼和力-热-磁耦合场因素,得到了初始轴向应力、温度、磁场强度和非局部系数等参数对振动频率的影响.通过与已有文献结果对比,证明了所建立方程和计算结果的正确性.

A unified stress-strain gradient elastic model based on Eringen nonlocal theory and gradient elastic model is used to derive the vibration governing equations of carbon nanotubes based on Kelvin-Voigt viscoelasticity in the stress-thermal-magnetic coupling field.The influences of initial axial stress,temperature,magnetic field strength and nonlocal coefficient on the vibration frequency are obtained by considering the small-scale effect,viscoelastic damping and stress-therm al-magnetic coupling field of single-walled carbon nanotubes.The correctness of the established equations and calculated results is proved by comparing with the results in the literature。