滚珠蜗杆传动的研究
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摘要
探索研究用滚动摩擦代替滑动摩擦的新型蜗杆传动结构型式,是提高蜗杆传动效率的一条有效途径。本文对滚珠蜗杆传动进行了初步的研究,主要的研究内容如下:
首先,介绍了以滚动摩擦为主的几种蜗杆传动的结构型式的设计方案,综合比较了这几种蜗杆传动结构型式的特点。研究结果表明滚珠蜗杆传动结构型式具有研制开发价值和应用前景。
其次对目前各种结构型式设计方案的滚珠蜗杆传动的结构特点进行了分类研究。结果表明,与传统蜗杆相比,滚珠蜗杆的承载能力相对较小且存在滚珠不畅的问题。
再次,运用共轭曲面原理,建立了滚珠蜗杆传动的蜗杆、蜗轮的齿面方程。推导了一类、二类界限曲线,估算了滚珠蜗杆的传动效率,推导了设计滚珠蜗杆所必需的参数公式。
最后,借鉴了滚珠丝杠及角接触球轴承承载能力的计算方法,采用Lundberg-Palmgren理论对滚珠蜗杆的承载能力计算进行了研究,得出了滚珠蜗杆传动承载能力的计算公式。基于遗传算法对滚珠蜗杆传动进行了参数优化设计,较为有效地提高了滚珠蜗杆传动的承载能力。
It is an effective way to improve the transmission efficiency of worm to explore and reseach the new type of worm structure which replaces the sliding friction with rolling friction. This paper has conducted a preliminary study of the ball globoid worm. The main contents are as follows.
First,the paper has introduced several designs of worm struction which mainly depends on rolling friction and has compared comprehensively the features of the worm structure forms. The resulits show that the ball globoid worm gear driving device (BGWGDD) has more developable values.
Secondly,the paper has studied the category of BGWGDD at present.The results show that the carrying power of BGWGDD is smaller and has the problem that the cycle of balls is sluggish, compared with the traditional worm.
Moreover,the worm and worm wheel gear surface equation of the BGWGDD are established by using the principle of conjugation of curved surface. Two kinds of border curve are also deduced. The paper has estimated the transmission efficiency of BGWGDD and has deduced the necessary parameters for the design of BGWGDD.
Finally, On the basis of the calculation method of ball screw and angular contact ball bearing and Theory of Lundberg-Palmgren,the paper has studied the bearing capacity of BGWGDD. Based on genetic algorithm, the paper has optimized the design parameters. It is more effective to raise the bearing capacity of BGWGDD.
首先,介绍了以滚动摩擦为主的几种蜗杆传动的结构型式的设计方案,综合比较了这几种蜗杆传动结构型式的特点。研究结果表明滚珠蜗杆传动结构型式具有研制开发价值和应用前景。
其次对目前各种结构型式设计方案的滚珠蜗杆传动的结构特点进行了分类研究。结果表明,与传统蜗杆相比,滚珠蜗杆的承载能力相对较小且存在滚珠不畅的问题。
再次,运用共轭曲面原理,建立了滚珠蜗杆传动的蜗杆、蜗轮的齿面方程。推导了一类、二类界限曲线,估算了滚珠蜗杆的传动效率,推导了设计滚珠蜗杆所必需的参数公式。
最后,借鉴了滚珠丝杠及角接触球轴承承载能力的计算方法,采用Lundberg-Palmgren理论对滚珠蜗杆的承载能力计算进行了研究,得出了滚珠蜗杆传动承载能力的计算公式。基于遗传算法对滚珠蜗杆传动进行了参数优化设计,较为有效地提高了滚珠蜗杆传动的承载能力。
It is an effective way to improve the transmission efficiency of worm to explore and reseach the new type of worm structure which replaces the sliding friction with rolling friction. This paper has conducted a preliminary study of the ball globoid worm. The main contents are as follows.
First,the paper has introduced several designs of worm struction which mainly depends on rolling friction and has compared comprehensively the features of the worm structure forms. The resulits show that the ball globoid worm gear driving device (BGWGDD) has more developable values.
Secondly,the paper has studied the category of BGWGDD at present.The results show that the carrying power of BGWGDD is smaller and has the problem that the cycle of balls is sluggish, compared with the traditional worm.
Moreover,the worm and worm wheel gear surface equation of the BGWGDD are established by using the principle of conjugation of curved surface. Two kinds of border curve are also deduced. The paper has estimated the transmission efficiency of BGWGDD and has deduced the necessary parameters for the design of BGWGDD.
Finally, On the basis of the calculation method of ball screw and angular contact ball bearing and Theory of Lundberg-Palmgren,the paper has studied the bearing capacity of BGWGDD. Based on genetic algorithm, the paper has optimized the design parameters. It is more effective to raise the bearing capacity of BGWGDD.
引文
[1]吴大任,微分几何讲义,北京:人民教育出版社,1981
[2]吴序堂,齿轮啮合原理,北京:机械工业出版社,1982
[3]沈蕴方,空间啮合原理,北京:冶金工业出版社,1983.3
[4]吴大任,骆家舜,齿轮啮合理论,北京:科学出版社,1985.10
[5]小林昭七著,王远达译,曲线与曲面的微分几何,沈阳:沈阳市数学会出版,1980
[6]苏步青,微分几何五讲,上海:上海科学出版社,1979.10
[7] Martuin﹒M利普舒茨[美],杨正清,李世杰译,微分几何的理论和习题,上海:上海科学出版社,1989.9
[8]Φ,JI,李特文著,丁淳译,齿轮啮合原理,上海:上海科技出版社,1984.12
[9]Φ,JI,李特文著,丁淳译,新型圆柱蜗杆传动,上海:上海科技出版社,1965
[10]王树人,刘平娟,圆柱蜗杆传动啮合原理,天津:天津科技出版社,1982
[11]傅则绍,微分几何与齿面啮合原理,山东:石油大学出版社,1999.8
[12]太原工学院齿轮研究室,圆弧齿轮,北京:机械工业出版社,1980.3
[13]黄锡凯,郑文伟,机械原理,北京;高等教育出版社,1981.6
[14] [法]昂里奥著,王北文译,齿轮的理论与实践,北京:机械工业出版社,1986.2
[15]吴序堂,齿轮手册编委会,齿轮手册,上、下册,北京:机械工业出版社,1990.11
[16]美鸿业,张亚雄,蜗杆传动设计,上、下册,北京:机械工业出版社,1986.12
[17]傅则绍,赵松年,新型蜗杆传动,西安:陕西科技出版社,1990.1
[18]程光仁,施祖康,滚珠丝杠传动设计基础,北京:机械工业出版社,1987.8
[19]徐灏,疲劳强度设计,北京:机械工业出版社,1981
[20]余俊,滚动轴承计算,北京:高等教育出版社,1993
[21]吴鸿业,齿轮啮合原理,哈尔滨:哈尔滨工业大学出版社,1979
[22]张光辉,滚锥包络环面蜗轮副的研制与试验,重庆:重庆大学学报,1992:1~2
[23]沈煜,滚柱包络环面蜗杆传动的运动学分析,北京:机械设计,2003:1~2
[24]黄建晰,带滚动体的蜗杆蜗轮机构,中国专利,91232583.6,1992-7-22
[25]温正忠,滚锥蜗杆传动机构,中国专利,93103243.1,1994-1-5
[26]陈信,V型槽滚动齿蜗轮副,中国专利,88209852.7,1989-8-2
[27]余茂芃,导管式滚珠蜗杆,中国专利,85104974,1987-01-7
[28]以光明,滚珠蜗轮副,中国专利,95229579.2,1996-10-23
[29]孙达,短滚道滚动蜗杆减速器,中国专利,94210458.7,1994-04-27
[30]孙达,钢球循环滚动蜗杆减速器,中国专利,85107567,1985-10-10
[31]冉春晖,滚珠蜗杆传动器,中国专利,90105872.6,1990-8-24
[32]罗义银,滚珠蜗杆,中国专利,91214524.2,1992-6-17
[33]罗义银,滚珠蜗杆传动的研究,重庆:重庆大学学报,1996.7:1~2
[34]李铬,矿用滚动蜗杆传动几何摩擦功率损失研究,北京:机械工程学报,1990.10:1~3
[35]朱益华,空间曲线弧长公式的一个简洁证明,苏州:苏州大学学报,1989.10:1~3
[36]毛梦云,滚珠包络环面蜗杆传动的运动学分析,北京:机械设计,2003.6:1
[37]路懿,环面滚珠蜗杆磨削问题的探讨,东北:东北重型机械学报,1989:2~6
[38]毛梦云,滚珠环面蜗杆传动的加工和啮合分析,北京:机械工程学报,1989,6
[39]郑家骏,滚珠蜗杆付,中国专利,86108414,1988-6-8
[40]龚国贤,环面蜗杆的法面导程角,上海:上海轻工业高等专科学校学报,2000.6:1~3
[41]李祥满,滚珠蜗杆减速器,中国专利,87209135,1987-6-10
[42]奚方,滚子式蜗轮蜗杆减速器,中国专利,96232062.5,1997-11-12
[43]潘旦君,双包环面滚珠蜗杆传动,中国专利,89105422.7,1990-1-24
[44]邹军,循环滚珠蜗杆,中国专利,02226300.4,2002.03.18
[45]刘鹄然,钢球包络环面蜗杆,北京:机械设计与制造,1999:1
[46]王华生,螺旋焊管成型内压辊形曲线初探,焊管,1993:1~4
[47]李菊南,新型滚珠蜗杆传动机构,北京:机械设计,1989:1
[48]饶振刚,王勇为,滚珠丝杠副及自锁装置,北京:国防工业出版社,1990.12
[49]徐灏,安全系数和许用应力,北京:机械工业出版社,1981
[50]武汉工学院机械原理零件教研室,齿轮啮合原理,1986.6
[51]武汉工学院机械原理零件教研室,滚动蜗轮副研制报告,1985.11
[52]郭亚强,蜗杆传动的质量分析,北京:机械工业出版社,1963
[53] J.E.shigley,Mechanical Engineering Desgin,third edition,1977
[54] New buching Can take bigger loads ,Mechinery and production engineering, Vol 136 1983.3
[55] R.E.Sauzedde,The design of roller one-way clutches in current passenger Car Automalie transmission ,Advances in engineering,Vol 1976
[56] Boris . A . Shtipelman.Ph.D.,Design and manufacture of hypoid gears,Jolm.Wiley & Sons 1980
[57] Edward.B.Haugen,Probabilistic Mechanical Design Jahn Wiley & Sons 1980
[2]吴序堂,齿轮啮合原理,北京:机械工业出版社,1982
[3]沈蕴方,空间啮合原理,北京:冶金工业出版社,1983.3
[4]吴大任,骆家舜,齿轮啮合理论,北京:科学出版社,1985.10
[5]小林昭七著,王远达译,曲线与曲面的微分几何,沈阳:沈阳市数学会出版,1980
[6]苏步青,微分几何五讲,上海:上海科学出版社,1979.10
[7] Martuin﹒M利普舒茨[美],杨正清,李世杰译,微分几何的理论和习题,上海:上海科学出版社,1989.9
[8]Φ,JI,李特文著,丁淳译,齿轮啮合原理,上海:上海科技出版社,1984.12
[9]Φ,JI,李特文著,丁淳译,新型圆柱蜗杆传动,上海:上海科技出版社,1965
[10]王树人,刘平娟,圆柱蜗杆传动啮合原理,天津:天津科技出版社,1982
[11]傅则绍,微分几何与齿面啮合原理,山东:石油大学出版社,1999.8
[12]太原工学院齿轮研究室,圆弧齿轮,北京:机械工业出版社,1980.3
[13]黄锡凯,郑文伟,机械原理,北京;高等教育出版社,1981.6
[14] [法]昂里奥著,王北文译,齿轮的理论与实践,北京:机械工业出版社,1986.2
[15]吴序堂,齿轮手册编委会,齿轮手册,上、下册,北京:机械工业出版社,1990.11
[16]美鸿业,张亚雄,蜗杆传动设计,上、下册,北京:机械工业出版社,1986.12
[17]傅则绍,赵松年,新型蜗杆传动,西安:陕西科技出版社,1990.1
[18]程光仁,施祖康,滚珠丝杠传动设计基础,北京:机械工业出版社,1987.8
[19]徐灏,疲劳强度设计,北京:机械工业出版社,1981
[20]余俊,滚动轴承计算,北京:高等教育出版社,1993
[21]吴鸿业,齿轮啮合原理,哈尔滨:哈尔滨工业大学出版社,1979
[22]张光辉,滚锥包络环面蜗轮副的研制与试验,重庆:重庆大学学报,1992:1~2
[23]沈煜,滚柱包络环面蜗杆传动的运动学分析,北京:机械设计,2003:1~2
[24]黄建晰,带滚动体的蜗杆蜗轮机构,中国专利,91232583.6,1992-7-22
[25]温正忠,滚锥蜗杆传动机构,中国专利,93103243.1,1994-1-5
[26]陈信,V型槽滚动齿蜗轮副,中国专利,88209852.7,1989-8-2
[27]余茂芃,导管式滚珠蜗杆,中国专利,85104974,1987-01-7
[28]以光明,滚珠蜗轮副,中国专利,95229579.2,1996-10-23
[29]孙达,短滚道滚动蜗杆减速器,中国专利,94210458.7,1994-04-27
[30]孙达,钢球循环滚动蜗杆减速器,中国专利,85107567,1985-10-10
[31]冉春晖,滚珠蜗杆传动器,中国专利,90105872.6,1990-8-24
[32]罗义银,滚珠蜗杆,中国专利,91214524.2,1992-6-17
[33]罗义银,滚珠蜗杆传动的研究,重庆:重庆大学学报,1996.7:1~2
[34]李铬,矿用滚动蜗杆传动几何摩擦功率损失研究,北京:机械工程学报,1990.10:1~3
[35]朱益华,空间曲线弧长公式的一个简洁证明,苏州:苏州大学学报,1989.10:1~3
[36]毛梦云,滚珠包络环面蜗杆传动的运动学分析,北京:机械设计,2003.6:1
[37]路懿,环面滚珠蜗杆磨削问题的探讨,东北:东北重型机械学报,1989:2~6
[38]毛梦云,滚珠环面蜗杆传动的加工和啮合分析,北京:机械工程学报,1989,6
[39]郑家骏,滚珠蜗杆付,中国专利,86108414,1988-6-8
[40]龚国贤,环面蜗杆的法面导程角,上海:上海轻工业高等专科学校学报,2000.6:1~3
[41]李祥满,滚珠蜗杆减速器,中国专利,87209135,1987-6-10
[42]奚方,滚子式蜗轮蜗杆减速器,中国专利,96232062.5,1997-11-12
[43]潘旦君,双包环面滚珠蜗杆传动,中国专利,89105422.7,1990-1-24
[44]邹军,循环滚珠蜗杆,中国专利,02226300.4,2002.03.18
[45]刘鹄然,钢球包络环面蜗杆,北京:机械设计与制造,1999:1
[46]王华生,螺旋焊管成型内压辊形曲线初探,焊管,1993:1~4
[47]李菊南,新型滚珠蜗杆传动机构,北京:机械设计,1989:1
[48]饶振刚,王勇为,滚珠丝杠副及自锁装置,北京:国防工业出版社,1990.12
[49]徐灏,安全系数和许用应力,北京:机械工业出版社,1981
[50]武汉工学院机械原理零件教研室,齿轮啮合原理,1986.6
[51]武汉工学院机械原理零件教研室,滚动蜗轮副研制报告,1985.11
[52]郭亚强,蜗杆传动的质量分析,北京:机械工业出版社,1963
[53] J.E.shigley,Mechanical Engineering Desgin,third edition,1977
[54] New buching Can take bigger loads ,Mechinery and production engineering, Vol 136 1983.3
[55] R.E.Sauzedde,The design of roller one-way clutches in current passenger Car Automalie transmission ,Advances in engineering,Vol 1976
[56] Boris . A . Shtipelman.Ph.D.,Design and manufacture of hypoid gears,Jolm.Wiley & Sons 1980
[57] Edward.B.Haugen,Probabilistic Mechanical Design Jahn Wiley & Sons 1980