滚子包络端面啮合蜗杆传动的啮合性能分析
|
摘要
为了提高蜗杆的承载能力、传动精度和效率,提出一种新型蜗杆传动形式——滚子包络端面啮合蜗杆传动。根据微分几何和齿轮啮合原理建立坐标系,推导蜗杆齿面方程,以及诱导法曲率、润滑角、卷吸速度和自转角等齿面啮合参数计算公式,研究蜗杆主要设计参数对啮合性能的影响规律。研究结果表明:滚子包络端面啮合蜗杆传动的单段蜗杆与蜗轮同时啮合齿对数为5,具有较高的承载能力;最大润滑角达到89°以上,具有良好的润滑性能,为后续的优化设计确定了参数合理的取值范围。
A new type of transmission-roller enveloping end meshing worm drive is proposed in order to enhance the loading capacity, transmission accuracy and efficiency of worm. According to the principle of differential geometry and gear meshing, the coordinate system is established, the worm tooth surface equation is deduced, and the formulas for calculating the meshing parameters such as normal curvature, lubrication angle, entrainment speed and rotation angle are derived. The influence of main design parameters of worm on the meshing performance is studied. The results show that: the number of simultaneous meshing pairs of single-section worm with worm gear reaches 5, which indicates this new type of worm drive has high loading capacity; and its maximum lubrication angle is over 89°, with good lubrication performance. A reasonable range of parameters is provided for subsequent optimal design of worms.
A new type of transmission-roller enveloping end meshing worm drive is proposed in order to enhance the loading capacity, transmission accuracy and efficiency of worm. According to the principle of differential geometry and gear meshing, the coordinate system is established, the worm tooth surface equation is deduced, and the formulas for calculating the meshing parameters such as normal curvature, lubrication angle, entrainment speed and rotation angle are derived. The influence of main design parameters of worm on the meshing performance is studied. The results show that: the number of simultaneous meshing pairs of single-section worm with worm gear reaches 5, which indicates this new type of worm drive has high loading capacity; and its maximum lubrication angle is over 89°, with good lubrication performance. A reasonable range of parameters is provided for subsequent optimal design of worms.
引文
[1]王进戈,张均富,洪雷.无侧隙双滚子包络环面蜗杆传动机构:CN101290042[P].2008-10-22.
[2]邓星桥,王进戈,郑有春.两段式包络环面端面啮合蜗杆传动装置:CN203488637U[P].2013-12-04.
[3]邓星桥,向中凡,王进戈.加工和安装误差对无侧隙蜗杆传动接触线及齿廓的影响[J].西安交通大学学报,2011,45(2):111-116.DENG Xingqiao,XIANG Zhongfan,WANG Jinge.Effects of errors on tooth profile and contact curve of non-backlash double-roller enveloping hourglass worm[J].Journal of Xi’an Jiaotong University,2011,45(2):111-116.
[4]陈尚友.无侧隙滚柱包络端面啮合蜗杆传动建模与研究[D].成都:西华大学,2015:25-30.
[5]孙月海,段路茜,王树人,等.基于接触线的二次包络TI蜗杆传动啮合性能分析[J].机械工程学报,2005,41(6):44-49.SUN Yuehai,DUAN Luqian,WANG Shuren,et al.Contact performance analysis of double enveloping TIworm gearing based on contact lines[J].Chinese Journal of Mechanical Engineering,2005,41(6):44-49.
[6]柳在鑫,王进戈,张均富,等.交错轴双滚子包络环面蜗杆传动啮合分析[J].四川大学学报(工程科学版),2012,44(4):221-225.LIU Zai-xin,WANG Jin-ge,ZHANG Jun-fu,et al.Meshing analysis of non-parallel double-roller enveloping hourglass worm gearing[J].Journal of Sichuan University(Engineering Science Edition),2012,44(4):221-225.
[7]陈永洪,张光辉,陈兵奎,等.平面内齿轮包络凸环面蜗杆传动啮合性能分析[J].重庆大学学报,2012,35(3):1-7.CHEN Yong-hong,ZHANG Guang-hui,CHEN Bingkui,et al.Meshing performance analysis of planar internal gear enveloping crown worm driving[J].Journal of Chongqing University,2012,35(3):1-7.
[8]王凯,王进戈,邓星桥.无侧隙双滚子包络环面蜗杆传动的啮合性能分析[J].机械传动,2009,33(6):12-15.WANG Kai,WANG Jinge,DENG Xingqiao.Meshing analysis of non-backlash double roller enveloping hourglass worm gearing[J].Journal of Mechanical,2009,33(6):12-15.
[9]洪雷,王进戈,张均富.无侧隙双滚子包络环面蜗杆传动的啮合分析[J].西华大学学报(自然科学版),2008,27(3):18-20.HONG Lei,WANG Jinge,ZHANG Junfu,et al.Meshing analysis of non-backlash double-roller enveloping hourglass worm gearing[J].Journal of Xihua University(Natural Science Edition),2008,27(3):18-20.
[10]LITVIN F L,PEREZ I G,YUKISHIMA K,et al.Design,simulation of meshing,and contact stresses for an improved worm gear drive[J].Mechanism and Machine Theory,2007,42(8):940-959.
[11]吴序堂.齿轮啮合原理[M].西安:西安交通大学出版社,2009:120-240.
[12]柳在鑫,王进戈,张均富,等.倾斜式双滚子包络环面蜗杆副承载能力研究[J].高技术通讯,2013,23(5):491-496.LIU Zaixin,WANG Jinge,ZHANG Junfu,et al.Research on the load carrying capacity of inclined doubleroller enveloping hourglass worm gears[J].Chinese High Technology Letters,2013,23(5):491-496.
[13]DENG Xingqiao,WANG Jinge,HORSTEMEYER MF.Modification design method for an enveloping hourglass worm with consideration of machining and misalignment errors[J].Chinese Journal of Mechanical Engineering,2013,26(5):948-956.
[2]邓星桥,王进戈,郑有春.两段式包络环面端面啮合蜗杆传动装置:CN203488637U[P].2013-12-04.
[3]邓星桥,向中凡,王进戈.加工和安装误差对无侧隙蜗杆传动接触线及齿廓的影响[J].西安交通大学学报,2011,45(2):111-116.DENG Xingqiao,XIANG Zhongfan,WANG Jinge.Effects of errors on tooth profile and contact curve of non-backlash double-roller enveloping hourglass worm[J].Journal of Xi’an Jiaotong University,2011,45(2):111-116.
[4]陈尚友.无侧隙滚柱包络端面啮合蜗杆传动建模与研究[D].成都:西华大学,2015:25-30.
[5]孙月海,段路茜,王树人,等.基于接触线的二次包络TI蜗杆传动啮合性能分析[J].机械工程学报,2005,41(6):44-49.SUN Yuehai,DUAN Luqian,WANG Shuren,et al.Contact performance analysis of double enveloping TIworm gearing based on contact lines[J].Chinese Journal of Mechanical Engineering,2005,41(6):44-49.
[6]柳在鑫,王进戈,张均富,等.交错轴双滚子包络环面蜗杆传动啮合分析[J].四川大学学报(工程科学版),2012,44(4):221-225.LIU Zai-xin,WANG Jin-ge,ZHANG Jun-fu,et al.Meshing analysis of non-parallel double-roller enveloping hourglass worm gearing[J].Journal of Sichuan University(Engineering Science Edition),2012,44(4):221-225.
[7]陈永洪,张光辉,陈兵奎,等.平面内齿轮包络凸环面蜗杆传动啮合性能分析[J].重庆大学学报,2012,35(3):1-7.CHEN Yong-hong,ZHANG Guang-hui,CHEN Bingkui,et al.Meshing performance analysis of planar internal gear enveloping crown worm driving[J].Journal of Chongqing University,2012,35(3):1-7.
[8]王凯,王进戈,邓星桥.无侧隙双滚子包络环面蜗杆传动的啮合性能分析[J].机械传动,2009,33(6):12-15.WANG Kai,WANG Jinge,DENG Xingqiao.Meshing analysis of non-backlash double roller enveloping hourglass worm gearing[J].Journal of Mechanical,2009,33(6):12-15.
[9]洪雷,王进戈,张均富.无侧隙双滚子包络环面蜗杆传动的啮合分析[J].西华大学学报(自然科学版),2008,27(3):18-20.HONG Lei,WANG Jinge,ZHANG Junfu,et al.Meshing analysis of non-backlash double-roller enveloping hourglass worm gearing[J].Journal of Xihua University(Natural Science Edition),2008,27(3):18-20.
[10]LITVIN F L,PEREZ I G,YUKISHIMA K,et al.Design,simulation of meshing,and contact stresses for an improved worm gear drive[J].Mechanism and Machine Theory,2007,42(8):940-959.
[11]吴序堂.齿轮啮合原理[M].西安:西安交通大学出版社,2009:120-240.
[12]柳在鑫,王进戈,张均富,等.倾斜式双滚子包络环面蜗杆副承载能力研究[J].高技术通讯,2013,23(5):491-496.LIU Zaixin,WANG Jinge,ZHANG Junfu,et al.Research on the load carrying capacity of inclined doubleroller enveloping hourglass worm gears[J].Chinese High Technology Letters,2013,23(5):491-496.
[13]DENG Xingqiao,WANG Jinge,HORSTEMEYER MF.Modification design method for an enveloping hourglass worm with consideration of machining and misalignment errors[J].Chinese Journal of Mechanical Engineering,2013,26(5):948-956.