基于椭圆法的摆线轮齿廓修形
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摘要
为得到更加理想的摆线轮齿廓线型,提出一种新的摆线轮齿廓修形方法。在保证短幅系数,偏心距不变的情况下,利用椭圆对摆线轮的标准理论轮廓线滚动切割修形,得到修形后的齿面轮廓线,并推导出其方程表达式。与常用的齿廓修形方法相比,修形后的齿廓曲线在主要工作段更加逼近完全共轭齿廓,并且通过控制椭圆的形状参数,可对摆线轮与针齿轮的啮合间隙进行调整,简单灵活。分析该修形齿廓的法向齿廓间隙、初始啮合间隙、接触应力以及回差影响,验证了该修形方法的合理性。
In order to get a more ideal cycloidal profile,a new cycloid profile modification method is proposed. Under the circumstance of keeping the short coefficient and the eccentricity constant,the contour line of the modified tooth profile is obtained by the elliptical crocheting of the standard theoretical contour line,and the expression of the equation is deduced. Compared with the commonly used method of tooth profile modification,the modified tooth profile curve is much closer to the complete conjugate tooth profile on the main meshing areas,and the meshing clearance between the cycloid wheel and the pin wheel can be made adjustment by controlling the shape parameters of the ellipse,which is simple and flexible. The normal tooth profile clearance,initial meshing clearance,contact stress and backlash are analyzed to verify the rationality of the modified method.
In order to get a more ideal cycloidal profile,a new cycloid profile modification method is proposed. Under the circumstance of keeping the short coefficient and the eccentricity constant,the contour line of the modified tooth profile is obtained by the elliptical crocheting of the standard theoretical contour line,and the expression of the equation is deduced. Compared with the commonly used method of tooth profile modification,the modified tooth profile curve is much closer to the complete conjugate tooth profile on the main meshing areas,and the meshing clearance between the cycloid wheel and the pin wheel can be made adjustment by controlling the shape parameters of the ellipse,which is simple and flexible. The normal tooth profile clearance,initial meshing clearance,contact stress and backlash are analyzed to verify the rationality of the modified method.
引文
[1]杨玉虎,张洁,许立新. RV传动机构精度分析[J].天津大学学报(自然科学与工程技术版),2013(7):623-628.
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[4]魏波,周广武,杨荣松,等. RV减速器摆线轮齿廓修形方法对比研究[J].机械设计与研究,2016(1):41-44.
[5]李力行.摆线针轮行星传动的齿形修正及受力分析[J].大连交通大学学报,1984,22(4):32-43.
[6]李力行,洪淳赫.摆线针轮行星传动中摆线轮齿形通用方程式的研究[J].大连铁道学院学报,1992(1):7-12.
[7]关天民,张东生,雷蕾. FA新型摆线针轮行星传动受力分析方法与齿面接触状态有限元分析[J].机械设计,2005,22(3):31-34.
[8]日高照晃,王宏猷,石田武,et al.サイクロイド!车を用いたK-H-V形?星!车装置の回"碝达误差に开するオフ研究:第1报,解析方法[J].日本机械学会论文集C编,1994:655.
[9] LI X,LI C,WANG Y,et al. Analysis of a cycloid speed reducer considering tooth profile modification and clearance-fit output mechanism[J]. Journal of Mechanical Design,2016,139(3):033303.
[10]关天民,张东生.摆线针轮行星传动中反弓齿廓研究及其优化设计[J].机械工程学报,2005,41(1):151-156.
[11]聂少文,胡吉全,李波,等. RV减速机摆线针轮齿廓修形优化分析[J].机械设计与研究,2016(6):49-52.
[12] ZHU C,SUN Z,LIU H,et al. Effect of tooth profile modification on lubrication performance of a cycloid drive[J]. ARCHIVE Proceedings of the Institution of Mechanical Engineers Part J:Journal of Engineering Tribology 1994-1996(vols 208-210),2015,229(7):785-194.
[13] YU H L,YI J H,HU X,et al. Study on teeth profile modification of cycloid reducer based on non-Hertz elastic contact analysis[J].Mechanics Research Communications,2013,48(1):87-92.
[14] LIN W S,SHIH Y P,LEE J J. Design of a two-stage cycloidal gear reducer with tooth modifications[J]. Mechanism&Machine Theory,2014,79:184-197.
[15]朱孝录.齿轮传动设计手册[M].北京:化学工业出版社,2010:560-563.
[16]徐灏.机械设计手册[M].北京:机械工业出版社,2003:136-138.
[2] XU H H,LIU X A. Analysis for assembly dimension chain of rv reducer[J]. Applied Mechanics&Materials,2014,635-637:1826-1829.
[3]关天民.摆线针轮行星传动中摆线轮最佳修形量的确定方法[J].中国机械工程,2002,13(10):811-814.
[4]魏波,周广武,杨荣松,等. RV减速器摆线轮齿廓修形方法对比研究[J].机械设计与研究,2016(1):41-44.
[5]李力行.摆线针轮行星传动的齿形修正及受力分析[J].大连交通大学学报,1984,22(4):32-43.
[6]李力行,洪淳赫.摆线针轮行星传动中摆线轮齿形通用方程式的研究[J].大连铁道学院学报,1992(1):7-12.
[7]关天民,张东生,雷蕾. FA新型摆线针轮行星传动受力分析方法与齿面接触状态有限元分析[J].机械设计,2005,22(3):31-34.
[8]日高照晃,王宏猷,石田武,et al.サイクロイド!车を用いたK-H-V形?星!车装置の回"碝达误差に开するオフ研究:第1报,解析方法[J].日本机械学会论文集C编,1994:655.
[9] LI X,LI C,WANG Y,et al. Analysis of a cycloid speed reducer considering tooth profile modification and clearance-fit output mechanism[J]. Journal of Mechanical Design,2016,139(3):033303.
[10]关天民,张东生.摆线针轮行星传动中反弓齿廓研究及其优化设计[J].机械工程学报,2005,41(1):151-156.
[11]聂少文,胡吉全,李波,等. RV减速机摆线针轮齿廓修形优化分析[J].机械设计与研究,2016(6):49-52.
[12] ZHU C,SUN Z,LIU H,et al. Effect of tooth profile modification on lubrication performance of a cycloid drive[J]. ARCHIVE Proceedings of the Institution of Mechanical Engineers Part J:Journal of Engineering Tribology 1994-1996(vols 208-210),2015,229(7):785-194.
[13] YU H L,YI J H,HU X,et al. Study on teeth profile modification of cycloid reducer based on non-Hertz elastic contact analysis[J].Mechanics Research Communications,2013,48(1):87-92.
[14] LIN W S,SHIH Y P,LEE J J. Design of a two-stage cycloidal gear reducer with tooth modifications[J]. Mechanism&Machine Theory,2014,79:184-197.
[15]朱孝录.齿轮传动设计手册[M].北京:化学工业出版社,2010:560-563.
[16]徐灏.机械设计手册[M].北京:机械工业出版社,2003:136-138.