系统仿真学报 ›› 2015, Vol. 27 ›› Issue (3): 480-485.

• 仿真建模与仿真算法及数值仿真 • 上一篇    下一篇

滚刀刀齿运动轨迹精确建模与仿真研究

张荣闯1, 王军1,2, 王宛山1   

  1. 1.东北大学机械工程与自动化学院, 沈阳 110819;
    2.沈阳理工大学机械工程学院, 沈阳 110159
  • 收稿日期:2014-03-06 修回日期:2014-08-11 出版日期:2015-03-08 发布日期:2020-08-20
  • 作者简介:张荣闯(1984-),男,辽宁辽阳人,博士生,研究方向为数字化设计与制造;王军(1956-),男,辽宁丹东人,博士,教授、博导,研究方向为先进制造技术;王宛山(1946-),男,辽宁沈阳人,教授、博导,研究方向为数字化制造、精密加工。
  • 基金资助:
    国家863高技术研究发展计划(2012AA041303)

Research on Precise Modeling and Simulation of Hob Tooth Moving Trace

Zhang Rongchuang1, Wang Jun1,2, Wang Wanshan1   

  1. 1. School of Mechanical Engineering and Automation, Northeastern University, Shenyang 110819, China;
    2. School of Mechanical Engineering, Shenyang Ligong University, Shenyang 110159, China
  • Received:2014-03-06 Revised:2014-08-11 Online:2015-03-08 Published:2020-08-20

摘要: 针对仿真中由于模型简化而带来的仿真精度问题,提出了基于实体造型的滚齿加工仿真方法。重点解决了滚刀刀齿空间运动轨迹精确建模问题,提出了基于时间驱动的滚齿加工运动矢量建模方法,获得了刀齿运动轨迹点位置矢量与速度矢量;指定速度矢量为一阶导矢、位置矢量为节点坐标进行样条曲线插值,得到刀齿运动轨迹曲线。分析轨迹曲线在不同数量插值轨迹点下的插值精度,优选出最佳插值轨迹点数量。将插值轨迹曲线应用于所开发的滚齿加工仿真系统,齿轮端面仿真齿廓与理论渐开线齿廓比较,验证了所提出方法的合理性与准确性。

关键词: 滚齿加工, 矢量建模, 滚刀刀齿运动轨迹, 加工仿真

Abstract: To save inevitable modeling insufficiencies owing to the simplified modeling strategie, simulation system of gear hobbing process based on solid modeling was developed. To realize the precise modeling of hob tooth moving trace, the vector model of the gear hobbing motion based time-driven was put forward, and then the position vector and velocity vector for every trace point were obtained. The velocity vector was specified as first-order vector, position vector as node coordinate and both of them were used to get hob tooth moving trace curve by the spline interpolation. Interpolation accuracies of hob tooth trace curve were obtained under different number of interpolation points and the most suitable number was selected. The trace curve was applied to the gear hobbing simulation system developed. The validity and accuracy of the proposed method were confirmed by comparison between the produced gear gap profile and theoretical one.

Key words: gear hobbing, vector modeling, hob tooth moving trace, machining simulation

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