Abstract Nonlinear vibrations and energy exchange of single-walled carbon nanotubes. Radial breathing modes
  • 主题
高级搜索  >
历史搜索 清空历史
首页> 外文期刊>Composite Structures >Nonlinear vibrations and energy exchange of single-walled carbon nanotubes. Radial breathing modes
【24h】

Nonlinear vibrations and energy exchange of single-walled carbon nanotubes. Radial breathing modes

机译：单壁碳纳米管的非线性振动和能量交换。径向呼吸模式

获取原文
获取原文并翻译 | 示例
       
页面导航
  • 摘要
  • 著录项
  • 相似文献
  • 相关主题

摘要

AbstractIn this paper, the nonlinear vibrations and energy exchange of single-walled carbon nanotubes (SWNTs) are analysed. The Sanders-Koiter shell theory is used to model the nonlinear dynamics of the system in the case of finite amplitude of vibration. The SWNT deformation is described in terms of longitudinal, circumferential and radial displacement fields. Simply supported, clamped and free boundary conditions are applied. The resonant interaction between radial breathing (axisymmetric) modes (RBMs) is analysed. An energy method, based on the Lagrange equations, is considered in order to reduce the nonlinear partial differential equations of motion to a set of nonlinear ordinary differential equations, which is then solved applying the implicit Runge-Kutta numerical method. The present model is validated in linear field comparing the RBM natural frequencies numerically predicted with data reported in the literature from experiments and molecular dynamics simulations. The nonlinear energy exchange between the two halves along the SWNT axis in the time is studied for different amplitudes of initial excitation applied to the two lowest frequency resonant RBMs. The influence of the SWNT aspect ratio on the numerical value of the nonlinear energy beating period under different boundary conditions is analysed.
机译： 摘要 本文分析了单壁碳纳米管（SWNT）的非线性振动和能量交换。在振动幅度有限的情况下，使用Sanders-Koiter壳理论对系统的非线性动力学进行建模。 SWNT变形是根据纵向，圆周和径向位移场来描述的。应用简单支持，限制和自由边界条件。分析了径向呼吸（轴对称）模式（RBM）之间的共振相互作用。为了将运动的非线性偏微分方程简化为一组非线性常微分方程，考虑了一种基于拉格朗日方程的能量方法，然后使用隐式Runge-Kutta数值方法进行求解。本模型在线性场中得到了验证，将数值预测的RBM自然频率与文献中从实验和分子动力学模拟中报告的数据进行了比较。对于施加到两个最低频率谐振RBM的初始激励的不同幅度，研究了沿时间沿SWNT轴在两半之间的非线性能量交换。分析了SWNT长宽比对不同边界条件下非线性能量跳动周期数值的影响。

著录项

相似文献

  • 外文文献
  • 中文文献
  • 专利
获取原文

客服邮箱：kefu@zhangqiaokeyan.com

京公网安备：11010802029741号 ICP备案号：京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有

  • 客服微信

  • 服务号