王娜,杨胜强,赵婷婷,曹波,赵恺.主轴式滚磨光整加工弹塑性接触力修正计算[J].表面技术,2020,49(8):333-341.
WANG Na,YANG Sheng-qiang,ZHAO Ting-ting,CAO Bo,ZHAO Kai.Correction Calculation on Elasto-Plastic Contact Force of Spindle Barrel Finishing[J].Surface Technology,2020,49(8):333-341
主轴式滚磨光整加工弹塑性接触力修正计算
Correction Calculation on Elasto-Plastic Contact Force of Spindle Barrel Finishing
投稿时间:2019-08-18  修订日期:2020-08-20
DOI:10.16490/j.cnki.issn.1001-3660.2020.08.039
中文关键词:  主轴式滚磨光整加工  EDEM仿真模拟  Hertz接触理论  弹塑性接触力  修正系数
英文关键词:spindle barrel finishing processing  EDEM simulation  Hertz contact theory  elastic-plastic contact force  correction factor
基金项目:国家自然科学基金(U1510118,51875389,51975399);山西省自然科学基金(201801D111002)
作者单位
王娜 1.太原理工大学 a.机械与运载工程学院 b.精密加工山西省重点实验室,太原 030024 
杨胜强 1.太原理工大学 a.机械与运载工程学院 b.精密加工山西省重点实验室,太原 030024 
赵婷婷 1.太原理工大学 a.机械与运载工程学院 b.精密加工山西省重点实验室,太原 030024; 2.Zienkiewicz Centre for Computational Engineering, College of Engineering, Swansea University, Swansea SA1 8EN, UK 
曹波 1.太原理工大学 a.机械与运载工程学院 b.精密加工山西省重点实验室,太原 030024 
赵恺 1.太原理工大学 a.机械与运载工程学院 b.精密加工山西省重点实验室,太原 030024 
AuthorInstitution
WANG Na 1.a. College of Mechanical and Vehicle Engineering, b. Shanxi Key Laboratory of Precision Machining, Taiyuan University of Technology, Taiyuan 030024, China 
YANG Sheng-qiang 1.a. College of Mechanical and Vehicle Engineering, b. Shanxi Key Laboratory of Precision Machining, Taiyuan University of Technology, Taiyuan 030024, China 
ZHAO Ting-ting 1.a. College of Mechanical and Vehicle Engineering, b. Shanxi Key Laboratory of Precision Machining, Taiyuan University of Technology, Taiyuan 030024, China; 2.Zienkiewicz Centre for Computational Engineering, College of Engineering, Swansea University, Swansea, SA1 8EN, UK 
CAO Bo 1.a. College of Mechanical and Vehicle Engineering, b. Shanxi Key Laboratory of Precision Machining, Taiyuan University of Technology, Taiyuan 030024, China 
ZHAO Kai 1.a. College of Mechanical and Vehicle Engineering, b. Shanxi Key Laboratory of Precision Machining, Taiyuan University of Technology, Taiyuan 030024, China 
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中文摘要:
      目的 基于对主轴式滚磨光整加工弹塑性接触力修正系数研究的思路,探究主轴式滚磨光整加工过程中工件及滚抛磨块之间的碰撞接触力与碰撞接触速度之间的定量关系。方法 采用EDEM系统中的Hertz-Mindlin接触模型进行模拟仿真,首先以Hertz接触理论以及牛顿第二定律为基础,推导弹性正面碰撞接触力与碰撞接触速度之间的关系表达式,然后在Thornton弹塑性假设的基础上建立滚抛磨块与工件之间弹塑性接触力与碰撞接触速度之间的关系表达式,并将不同转速下工件与滚抛磨块之间的弹塑性正面碰撞接触力计算结果与实验测试结果进行对比分析,最后通过量化结构变位系数进一步修正弹塑性接触力计算公式。结果 基于Hertz接触理论、牛顿第二定律以及Thornton接触力学模型,推导了出速度修正系数表达式,且速度修正系数在0.32~0.58之间。同时考虑结构变位修正系数,基于Matlab,经过试算求得结构的变位修正系数在0.50~2.41之间,修正后的弹塑性接触力计算结果与实验测试结果的相对误差在0.122%~8.901%之间。结论 滚抛磨块与工件之间的弹塑性接触力计算公式,理论依据充分,参数明确,可以为滚磨光整加工实际工艺制定提供可信的计算方法。
英文摘要:
      The paper aims to explore the quantitative relationship between the contact force and the contact speed of the workpiece and the roller-grinding media during the spindle barrel finishing process based on the thinking on studying the correction factor for elasto-plastic contact force of spindle barrel finishing process. The Hertz-Mindlin contact model in EDEM system was used for the simulation. The relational expression between the elastic head-on collision contact force and the contact speed was deduced based on the Hertz contact theory and the Newton’s second law. Then the relational expression between the elasto-plastic contact force and the contact speed was established based on the Thornton’s elasto-plastic hypothesis. The calculated results of the elasto-plastic contact force between the workpiece and the roller-grinding media under different rotating speeds were compared with the results in the experiment. The formula of the elasto-plastic contact force was corrected by quantization of the structural correction factor. Based on the Hertz contact theory, the Newton's second law and the Thornton contact mechanics model, the expression of the velocity correction factor was derived with the value between 0.32 and 0.58. Meanwhile, considering the structural displacement correction factor and based on Matlab, the structural displacement factor was obtained between 0.50 and 2.41. The relative error between the corrected calculation results of the elasto-plastic contact force and the experiment results was between 0.122% and 8.901%. The formula for the elasto-plastic contact force between the workpiece and the media is robust in theory and brief in calculation, which can provide a credible help for the design of the barrel finishing process.
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