• CN:11-2187/TH
  • ISSN:0577-6686

机械工程学报 ›› 2019, Vol. 55 ›› Issue (7): 199-206.doi: 10.3901/JME.2019.07.199

• 制造工艺与装备 • 上一篇    下一篇

磨削弧区高阶函数热源分布模型研究

何玉辉1, 徐彦斌1, 唐进元1, 赵波2   

  1. 1. 中南大学高性能复杂制造国家重点实验室 长沙 410083;
    2. 河南理工大学机械与动力工程学院 焦作 454000
  • 收稿日期:2018-04-11 修回日期:2018-09-20 出版日期:2019-04-05 发布日期:2019-04-05
  • 作者简介:何玉辉,男,1974年出生,博士,副教授。主要研究方向为超声振动切削加工原理、工艺及设备。E-mail:csuhyh@163.com
  • 基金资助:
    国家重点研发计划(2017YFB1300702)、国家自然科学基金重点(51535012,U1604255)和湖南省重点研发计划(2016JC2001)资助项目。

Study on Heat Source Distribution Model of High-order Function in Grinding Arc Area

HE Yuhui1, XU Yanbin1, TANG Jinyuan1, ZHAO Bo2   

  1. 1. State Key Laboratory of High Performance Complex Manufacturing, Central South University, Changsha 410083;
    2. School of Mechanical and Power Engineering, Henan Polytechnic University, Jiaozuo 454000
  • Received:2018-04-11 Revised:2018-09-20 Online:2019-04-05 Published:2019-04-05

摘要: 假设磨粒形状为球形,其粒径和突出高度服从瑞利分布,将磨粒接触半径表达式应用泰勒公式展开,建立磨削弧区高阶函数曲线热源模型。通过对比分析三至六阶函数热源模型的拟合误差,发现当函数阶数达到五阶后,其误差值小于2.5%且下降程度趋于平缓,故提出一种新型五阶热源模型。将新建的五阶热源模型与传统的矩形、三角形热源应用于磨削温度场仿真,并与热电偶测量结果进行对比分析,结果表明:五阶函数曲线热源相对于三角形热源和矩形热源而言,不论是整体符合程度、磨削弧区最高温度位置,还是实测结果应有的滞后性,其结果都更接近实际情况,从而验证了高阶函数曲线热源模型的正确性和优越性。

关键词: 磨削弧区, 热源分布, 温度场, 五阶热源

Abstract: It is assumed that the shape of the abrasive grains is spherical, its particle size and height are obeyed Rayleigh distribution, and the abrasive grain contact radius expression is extended by Taylor formula to establish the high-order function curve heat source model of grinding arc region. By comparing and analyzing the fitting error of the third-order function heat source to the sixth-order function heat source model, it is found that when the order of function reaches fifth-order, the error is less than 2.5% and the decreasing degree tends to be gentle. Therefore, a new fifth-order heat source model is proposed. It is found that when the function order reaches the fifth-order, the error value is very small and the degree of decline tends to be gentle, so a new fifth-order heat source model. The new fifth-order heat source model is compared with the traditional rectangular and triangular heat source in the grinding temperature field simulation. The results show that the fifth-order function curve heat source is relative to triangle and rectangular heat sources, regardless of the overall consistency, the highest temperature position of the grinding arc region, or the lag of the measured results. The results are closer to the actual situation, which verifies the correctness and superiority of the high-order function curve heat source model.

Key words: fifth-order heat source model, grinding arc area, heat source distribution, temperature field

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