大学物理 ›› 2025, Vol. 44 ›› Issue (2): 24-.doi: 10.16854/j.cnki.1000-0712.240264

• 教学讨论 • 上一篇    下一篇

旋转喷水龙头动力学分析

谢建华   

  1. 西南交通大学力学与航空航天学院,四川 成都610031
  • 收稿日期:2024-06-02 修回日期:2024-09-29 出版日期:2025-04-18 发布日期:2025-04-24
  • 作者简介:谢建华(1957—),男,博士,教授,研究方向为非线性动力学.
  • 基金资助:
    国家自然科学基金(12172306; 12362002)资助

The dynamics of the rotary watering sprinkler

XIE Jianhua   

  1. School of Mechanics and Aerospace Engineering,Southwest Jiaotong University,Chengdu,Sichuan 610031,China
  • Received:2024-06-02 Revised:2024-09-29 Online:2025-04-18 Published:2025-04-24

摘要: 本文通过分析水流反冲力的作用,建立了旋转喷水龙头的运动微分方程,确定了临界喷射角和临界流速,证明系统唯一的定常运动是大范围渐近稳定的;在此基础上,给出了水龙头灌溉区域的形状和面积计算公式;最后讨论了水流周期性脉动的影响.

关键词: 旋转喷水龙头, 定常运动, 稳定性, 灌溉面积

Abstract:  By analyzing the dynamic reaction force of water flow,the motion differential equation of the rotary watering sprinkler is established. The critical ejection angle and the critical flow velocity are determined,and it is proved that the unique steady motion of the system is asymptotically stable in a wide range. On this basis,the shape and the irrigation area of the sprinkler are given. Finally,the influence of periodic water flow pulsation is discussed.

Key words: rotary watering sprinkler, steady motion, stability, irrigation area