基于Matlab的渐开线少齿差行星齿轮变位系数取值方法研究
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摘要
根据少齿差行星齿轮传动的定义可知,变位系数的取值是少齿差行星齿轮减速器设计的关键;通过分析和对比常用变位系数选取方法,基于变位齿轮变位系数选择的限制条件理论,并使用Matlab软件进行辅助计算,提出了一个渐开线少齿差行星齿轮变位系数的取值方法;实例验证得到Matlab编程比常规设计计算出的外齿轮变位系数小但重合度却大,结果表明Matlab编程可行性较高。
According to the definition of planetary gear transmission with small teeth difference,the selection of value of modification coefficient is the key in the design of planetary gear reducer with small teeth difference. By analyzing and comparing common modification coefficient selection method,based on the constraints theory of the displacement gear modification coefficient selection and using Matlab software assisted calculation,a small teeth difference planetary involute gear modification coefficient value selection method is presented.Through the examples of validation,the external gear modification coefficient calculated by Matlab programming is smaller than calculated by conventional design,but has a large degree of the contact ratio,the results show the feasibility of Matlab programming is higher.
According to the definition of planetary gear transmission with small teeth difference,the selection of value of modification coefficient is the key in the design of planetary gear reducer with small teeth difference. By analyzing and comparing common modification coefficient selection method,based on the constraints theory of the displacement gear modification coefficient selection and using Matlab software assisted calculation,a small teeth difference planetary involute gear modification coefficient value selection method is presented.Through the examples of validation,the external gear modification coefficient calculated by Matlab programming is smaller than calculated by conventional design,but has a large degree of the contact ratio,the results show the feasibility of Matlab programming is higher.
引文
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[6]BAHK C J,PARKER R G.Analytical investigation of tooth profile modification effects on planetary gear dynamics[J].Mechanism and Machine Theory,2013,70:298-319.
[7]YI W C,WANG B Y,HE S.Tooth profile generation of point-contact involute planetary gear drive with small teeth difference[J].Applied Mechanics and Materials,2014,441:561-567.
[8]CHEN E,WALTON D.The optimum design of KHV planetary gears with small tooth differences[J].International Journal of Machine Tools and Manufacture,1990,30(1):99-109.
[9]YUKSEL C,KAHRAMAN A.Dynamic tooth loads of planetary gear sets having tooth profile wear[J].Mechanism and Machine Theory,2004,39(7):695-715.
[10]余跃海.少齿差内啮合齿轮的计算机辅助几何设计及参数优化[D].天津:天津大学,2005:19-21.
[11]YE Zhonghe,LAN Zhaohui,Smith M R.Mechanisms and machine theory[M].Beijing:Higher Education Press,2011:110-113.
[12]汪萍,候慕英.插切齿轮传动设计及封闭图CAD数模分析[M].武汉:中国地质大学出版社,2001:98-113.
[13]张春林,姚九成,吕俊林.渐开线少齿差行星传动的变位系数的选择[J].北京理工大学学报,1998(5):563-566.
[2]马贵飞,冷承业.基于CAD的渐开线少齿差行星齿轮传动变位系数的选取[J].机械设计及制造,2002(12):69-70.
[3]李飞,谢庆繁,冯定.新型减速涡轮钻具应用研究[J].石油天然气学报(江汉石油学院学报),2005(S4):164-165.
[4]张展.渐开线少齿差行星齿轮传动装置[M].北京:机械工业出版社,2012:60-61,69-72.
[5]LI Shuting.Contact problem and numeric method of a planetary drive with small teeth number difference[J].Mechanism and Machine Theory,2008,43(9):1065-1086.
[6]BAHK C J,PARKER R G.Analytical investigation of tooth profile modification effects on planetary gear dynamics[J].Mechanism and Machine Theory,2013,70:298-319.
[7]YI W C,WANG B Y,HE S.Tooth profile generation of point-contact involute planetary gear drive with small teeth difference[J].Applied Mechanics and Materials,2014,441:561-567.
[8]CHEN E,WALTON D.The optimum design of KHV planetary gears with small tooth differences[J].International Journal of Machine Tools and Manufacture,1990,30(1):99-109.
[9]YUKSEL C,KAHRAMAN A.Dynamic tooth loads of planetary gear sets having tooth profile wear[J].Mechanism and Machine Theory,2004,39(7):695-715.
[10]余跃海.少齿差内啮合齿轮的计算机辅助几何设计及参数优化[D].天津:天津大学,2005:19-21.
[11]YE Zhonghe,LAN Zhaohui,Smith M R.Mechanisms and machine theory[M].Beijing:Higher Education Press,2011:110-113.
[12]汪萍,候慕英.插切齿轮传动设计及封闭图CAD数模分析[M].武汉:中国地质大学出版社,2001:98-113.
[13]张春林,姚九成,吕俊林.渐开线少齿差行星传动的变位系数的选择[J].北京理工大学学报,1998(5):563-566.