力学与实践 ›› 2014, Vol. 36 ›› Issue (5): 611-616,589.DOI: 10.6052/1000-0879-14-004

• 应用研究 • 上一篇    下一篇

球链中冲击扰动的传播

靳晓庆, 张振亚, 段忠, 周风华   

  1. 冲击与安全工程教育部重点实验室, 宁波大学, 浙江宁波 315211
  • 收稿日期:2014-01-10 出版日期:2014-10-15 发布日期:2014-02-25
  • 通讯作者: 段忠,男,硕士研究生,研究方向为冲击动力学;周风华,男,研究员.E-mail:zhoufenghua@nbu.edu.cn
  • 基金资助:

    国家自然科学基金资助项目(11272163).

PROPAGATION OF IMPACT PULSE IN A CHAIN OF ELASTIC BALLS

JIN Xiaoqing, ZHANG Zhengya, DUAN Zhong, ZHOU Fenghua   

  1. MOE Key Laboratory of Impact and Safety Engineering, Ningbo University, Zhejiang, Ningbo 315211, China
  • Received:2014-01-10 Online:2014-10-15 Published:2014-02-25

摘要:

采用Hertz 接触理论处理牛顿摆中球与球之间的相互接触,建立球链碰撞模型,观察到碰撞过程中类似孤立波的传播现象。为了便于处理“nm”碰撞的计算,编写了带有GUI (graphic user interface) 界面的计算程序,可以研究不同撞击球个数对撞击过程的影响,包括球心位置、球心速度以及相邻小球间的变形量与相互作用力随时间的变化规律。进一步比较了一维球链模型和三维有限元模型的结果,并实验观察了碰撞过程的细节,得到一致性结论。

关键词:

牛顿摆|Hertz 接触|球链碰撞模型|动量传播|孤立波

Abstract:

For the Newton's pendulum, a new model is established using the Hertzian contact theory to represent the interactions between adjacent balls. This model is applied to solve the problems of a ball chain collision, with the impulse wave propagation in the chain. By changing the number of the balls, the influence of the ball-chain length is studied. Numerical calculations provide information of the position, the velocity of each ball, and the deformations and the interaction forces between the adjacent balls, as functions of time. A computer tool with graphic user interface (GUI) is developed to solve the ball-chain impact problems in different situations. The high speed camera is used in the collision experiments to study the detailed process, showing that the numerical model gives good predictions.

Key words:

Newton's cradles|Hertz contact|a chain of elastic balls' collision|transmission of momentum|solitary wave

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