• 主题
高级搜索  >
历史搜索 清空历史
首页> 外文会议>International Conference on Mechanical Engineering and Mechanics vol.1; 20051026-28; Nanjing(CN) >Efficient Implicit Symplectic Integration Based Method for Numeric Computation of Nonlinear Vibration of a Lennard-Jones Oscillator
【24h】

Efficient Implicit Symplectic Integration Based Method for Numeric Computation of Nonlinear Vibration of a Lennard-Jones Oscillator

机译：Lennard-Jones振荡器非线性振动数值计算的基于隐式辛辛积分的有效方法

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

The nonlinear dynamic behavior of a Lennard-Jones oscillator is investigated. In order to model such an oscillator, the potential of unit area between two plates is derived based on Lennard-Jones potential. The dimensionless variables are introduced to make modeling of the dynamical system convenient. The differential equations for the forced vibration of a Lennard-Jones oscillator are formulated, where the Van der Waals force is taken into consideration. To distinguish between regular and chaotic motions, Lyapunov characteristic exponents (LCEs) must be computed, therefore the differential equations of the motion and its perturbation must be numerically integrated. Numerical experiments show that converged results can not be retrieved using the conventional explicit four-order Runge-Kutta method when the system motion is chaotic. An implicit and symplectic Runge-Kutta approach is applied to solve the differential equations, and renormalization of the Lyapunov direction vector is conducted for preventing from emergence of overflow error. Numerical examples illustrating the stability of calculating Lyapunov characteristic exponents of the presented algorithm are given.
机译：研究了Lennard-Jones振荡器的非线性动力学行为。为了对这种振荡器进行建模，基于Lennard-Jones势来推导两个板之间的单位面积电势。引入了无量纲变量，以简化动力学系统的建模。公式化了Lennard-Jones振荡器的强迫振动的微分方程，其中考虑了范德华力。为了区分规则运动和混沌运动，必须计算Lyapunov特征指数（LCE），因此必须对运动及其扰动的微分方程进行数值积分。数值实验表明，当系统运动混沌时，采用传统的显式四阶Runge-Kutta方法无法获得收敛结果。采用隐式辛辛格的Runge-Kutta方法求解微分方程，并对Lyapunov方向矢量进行重新归一化以防止出现溢出误差。给出了说明所提出算法的Lyapunov特征指数计算稳定性的数值示例。

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