基于欧拉梁模型的充流单壁碳纳米弯管波动性能研究

The Study of Wave Propagation of Single-walled Curved Carbon Nanotube Full Filled with Fluid Based on Euler Beam

本文研究了充满流体的弯曲单壁碳纳米管与流体相互耦合作用下的振动力学行为,利用Hamilton变分原理推导出弯曲的单壁碳纳米管与流体耦合作用下的控制方程,考察了在考虑流体边界条件下的纳观尺度效应、管长、管的曲率半径、流体流速和振幅对碳纳米管的流固耦合振动的影响,最后得到结论:纳观尺度、管长、振幅和曲率半径的增加都会导致碳纳米管耦合振动的频率大幅增加;纳观尺度与管长同时增加时,频率增加的幅度会减小;振幅与曲率同时增加时,碳管振动幅度会有很大提高。

The vibration physic behavior of full filled with fluid curved carbon nanotube fixed on the Winkler foundation is studied in this paper.Hamilton variational principle was used to get the control equations of the curved carbon nanotube coupled with fluid and this paper takes nanosacle,length,curvature ratio,fluid velocity and wave amplitude into consideration as significant factors to study the wave propagation of curved carbon nanotube.It gets that with the increasing of the nanoscale,length,curvature ratio,fluid velocity and wave amplitude,the couple vibration frequency ratio will increase heavily.But when nanoscale and the length of carbon nanotube increase at the same time,the increasement of the frequency ratio will be smaller.With wave amplitude and curvature ratio increasing at the same time,the frequency ratio will increase heavily too.