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由纵向振动引起的质点与圆锥形杆碰撞问题的解析解

鲍四元 邓子辰

鲍四元, 邓子辰. 由纵向振动引起的质点与圆锥形杆碰撞问题的解析解[J]. 应用数学和力学, 2006, 27(7): 812-818.
引用本文: 鲍四元, 邓子辰. 由纵向振动引起的质点与圆锥形杆碰撞问题的解析解[J]. 应用数学和力学, 2006, 27(7): 812-818.
BAO Si-yuan, DENG Zi-chen. Analytical Solutions for Response of Collision of Particle With Conical Rod Caused by Longitudinal Vibration[J]. Applied Mathematics and Mechanics, 2006, 27(7): 812-818.
Citation: BAO Si-yuan, DENG Zi-chen. Analytical Solutions for Response of Collision of Particle With Conical Rod Caused by Longitudinal Vibration[J]. Applied Mathematics and Mechanics, 2006, 27(7): 812-818.

由纵向振动引起的质点与圆锥形杆碰撞问题的解析解

基金项目: 国家自然科学基金资助项目(10372084;10572119);教育部新世纪优秀人才基金资助项目(NCET-04-0958)
详细信息
    作者简介:

    鲍四元(1980- ),博士(E-mail:bsiyuan@mail.nwpu.edu.cn);邓子辰(1964- ),教授,博士生导师(联系人.Tel:+86-29-88460403;E-mail:dweifan@nwpu.edu.cn).

  • 中图分类号: V214.2

Analytical Solutions for Response of Collision of Particle With Conical Rod Caused by Longitudinal Vibration

  • 摘要: 给出细长圆锥形的截面杆受到质点纵向碰撞时的精确解析解.提出了一种新方法用于分析质点-圆锥形杆碰撞,使用了叠加法给出杆的响应.其结果可验证数值解和其他解析解.所提出方法的优点之一是响应解的解析形式简洁.结论是质量比和一些描述杆几何形状的变量,如倾斜度、杆长和半径在撞击分析中具有重要作用.
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出版历程
  • 收稿日期:  2005-09-26
  • 修回日期:  2006-03-28
  • 刊出日期:  2006-07-15

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