插齿切削模型的理论与试验研究
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摘要
为研究插齿切削时的主切削力,以插削为基础,从剪切滑移理论出发,揭示了插齿加工的切削机理,并建立了切削力的计算模型,得到插齿切削时主切削力和插齿刀与工件在端平面内的投影重合面积成正比的结论;通过分析插齿的运动过程,建立了插齿切削的运动学模型,利用MATLAB软件求出投影面积,进而得到主切削力,并以试验测得的切削力进行拟合验证并预测,证实了该切削力计算模型的正确性与可行性。
In order to study the main cutting force during the cutting of the teeth,this paper is revealed the cutting mechanism of the gear shaping process based on the theory of shear slip,and it′s established a calculation model of cutting force,which all come to a conclusion that the main cutting force during the cutting of the gear is proportional to the projection coincidence area of the shaper in the end plane.The kinematics model of the gear cutting is established by analyzing the motion process of the gear shaping.MATLAB is used to find the projected area and to get the main cutting force,combined with experimental fitting verification and prediction,confirming the correctness and feasibility of the cutting force calculation model.
In order to study the main cutting force during the cutting of the teeth,this paper is revealed the cutting mechanism of the gear shaping process based on the theory of shear slip,and it′s established a calculation model of cutting force,which all come to a conclusion that the main cutting force during the cutting of the gear is proportional to the projection coincidence area of the shaper in the end plane.The kinematics model of the gear cutting is established by analyzing the motion process of the gear shaping.MATLAB is used to find the projected area and to get the main cutting force,combined with experimental fitting verification and prediction,confirming the correctness and feasibility of the cutting force calculation model.
引文
[1]Luk W K.The mechanics of symmetrical circular form tool cutting[J].International Journal of Machine Tool Design & Research,1970,10(2):293-303.
[2]Lee E H,Shaffer B W.The theory of plasticity applied to a problem of machining[J].Journal of Applied Mechanics,1951,5(18):405-413.
[3]Erkorkmaz K,Katz A,Hosseinkhani Y,et al.Chip geometry and cutting forces in gear shaping[J].CIRP Annals-Manufacturing Technology,2016,65(1):133-136.
[4]袁哲俊.齿轮刀具设计[M].北京:国防工业出版社,2014.
[5]凌四营,宋润州,王庆男,等.插齿刀齿形角修正算法与精度探讨[J].机械设计与制造,2011(1):164-166.
[6]夏伟,周泽华.圆弧形槽切削的切削力研究[J].华南理工大学学报(自然科学版),1989(1):50-59.
[7]夏伟,李元元,周泽华.梯形槽切削的切削力数学模型[J].华南理工大学学报(自然科学版),1997(3):7-11.
[8]许小村,刘世臣,赵伯颖,等.对称V形槽切削的切削力研究[J].哈尔滨理工大学学报,1996(2):27-31.
[9]静永杰.变圆周进给等切削面积插齿工艺综合优化[D].天津:天津大学,2016.
[10]周后火.插齿加工切削力数值模拟与试验研究[D].天津:天津大学,2014.
[11]陈立海.插齿切削稳定性研究及应用[D].天津:天津大学,2016.
[12]陈立海,张连洪,于冰,等.大型插齿机变圆周进给高效加工优化算法研究[J].机械设计,2017(10):1-6.
[2]Lee E H,Shaffer B W.The theory of plasticity applied to a problem of machining[J].Journal of Applied Mechanics,1951,5(18):405-413.
[3]Erkorkmaz K,Katz A,Hosseinkhani Y,et al.Chip geometry and cutting forces in gear shaping[J].CIRP Annals-Manufacturing Technology,2016,65(1):133-136.
[4]袁哲俊.齿轮刀具设计[M].北京:国防工业出版社,2014.
[5]凌四营,宋润州,王庆男,等.插齿刀齿形角修正算法与精度探讨[J].机械设计与制造,2011(1):164-166.
[6]夏伟,周泽华.圆弧形槽切削的切削力研究[J].华南理工大学学报(自然科学版),1989(1):50-59.
[7]夏伟,李元元,周泽华.梯形槽切削的切削力数学模型[J].华南理工大学学报(自然科学版),1997(3):7-11.
[8]许小村,刘世臣,赵伯颖,等.对称V形槽切削的切削力研究[J].哈尔滨理工大学学报,1996(2):27-31.
[9]静永杰.变圆周进给等切削面积插齿工艺综合优化[D].天津:天津大学,2016.
[10]周后火.插齿加工切削力数值模拟与试验研究[D].天津:天津大学,2014.
[11]陈立海.插齿切削稳定性研究及应用[D].天津:天津大学,2016.
[12]陈立海,张连洪,于冰,等.大型插齿机变圆周进给高效加工优化算法研究[J].机械设计,2017(10):1-6.