主轴式滚磨光整加工弹塑性接触力修正计算

王娜, 杨胜强, 赵婷婷, 曹波, 赵恺

表面技术 ›› 2020, Vol. 49 ›› Issue (8) : 333-341.

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表面技术 ›› 2020, Vol. 49 ›› Issue (8) : 333-341. DOI: 10.16490/j.cnki.issn.1001-3660.2020.08.039
表面质量控制及检测

主轴式滚磨光整加工弹塑性接触力修正计算

  • 王娜1, 杨胜强1, 曹波1, 赵恺1, 赵婷婷2
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Correction Calculation on Elasto-Plastic Contact Force of Spindle Barrel Finishing

  • WANG Na1, YANG Sheng-qiang1, CAO Bo1, ZHAO Kai1, ZHAO Ting-ting2
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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。

Abstract

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.

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

Key words

spindle barrel finishing processing; EDEM simulation; Hertz contact theory; elastic-plastic contact force; correction factor

引用本文

导出引用
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

基金

国家自然科学基金(U1510118,51875389,51975399);山西省自然科学基金(201801D111002)

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