弧线齿圆柱齿轮四阶传动误差设计与分析

详细信息    查看全文 | 推荐本文 |

英文篇名：Design and Analysis of Fourth Order Transmission Error of Circular-arc Curvilinear of Cylindrical Gear 作者：苏进展 ; 方宗德 英文作者：Su Jinzhan;Fang Zongde;Key Laboratory of Road Construction Technology and Equipment of Ministry of Education,Chang'an University;School of Mechanical Engineering,Northwestern Polytechology University; 关键词：弧线齿圆柱齿轮 ; 四阶传动误差 ; 齿面展成 ; 安装误差 英文关键词：Cylindrical gear with circular-arc curvilinear tooth Fourth order transmission error Tooth surface generation Assemble error 中文刊名：JXCD 英文刊名：Journal of Mechanical Transmission 机构：长安大学道路施工技术与装备教育部重点实验室;西北工业大学机电学院; 出版日期：2014-09-15 出版单位：机械传动 年：2014 期：v.38;No.213 基金：国家自然科学基金(51205310,51175423);; 中央高校基本科研业务费专项资金(2014G1251031) 语种：中文; 页：JXCD201409004 页数：5 CN：09 ISSN：41-1129/TH 分类号：22-25+30

摘要

为了改善弧线齿圆柱齿轮传动的平稳性和轮齿强度,采用四阶传动误差曲线设计齿轮副。首先确定四阶传动误差曲线的系数,用有具有刀倾的刀盘形成的弧线产形齿条和假想小轮的方法,根据坐标变换和啮合方程,分别推导大轮和小轮的齿面方程。由两齿面在啮合中的连续相切条件,建立了考虑安装误差的轮齿接触分析(TCA)模型。齿轮副啮合仿真的结果表明,该方法可实现四阶传动误差,增大啮合转换点处夹角可使齿轮副平稳过渡,减小齿根的修形量可提高轮齿强度,可降低传动误差曲线对安装误差的敏感性。
        The fourth order transmission error is applied to improve the transmission stability and tooth strength of circular-arc curvilinear of cylindrical gear.The coefficient of fourth order transmission error curve is determined,the curvilinear shaped imaginary rack cutter is formed by the tilted head cutter,and the imaginary pinion is introduced to establish the tooth surface equation of pinion and gear by the coordinate systems transformation and the mesh equation,respectively.And the tooth contact analysis model which also considered assembly errors is established on the conditions of continuous tangency of two contact surfaces.The computerized simulation of meshing and contact shows that the fourth order transmission error can be achieved by the proposed method,and the stability transmission can be performed by increasing the angle of the transformation point between the adjacent meshing cycles,the tooth fillet strength can be enhanced for decreasing the modification amounts nearby tooth root,finally,the sensitivity of assemble errors of the transmission curve can be reduced.

引文

[1]Wu Yicheng,Chen Kuanyu,Tsay Chungbiau,et al.Contact characteristics of circular-arc curvilinear tooth gear drives[J].Journal of Mechanical Design,2009,131(9):081003:1-8.
    [2]Tseng Ruitang,Tsay Chungbiau.Undercutting and contact characteristics of cylindrical gears with curvilinear shaped teeth generated by hobbing[J].Journal of Mechanical Design,2006,128(5):634-643.
    [3]Tseng Ruitang,Tsay Chungbiau.Contact characteristics of cylindrical gears with curvilinear shaped teeth[J].Mechanism and Machine Theory,2004,39(4):905-919.
    [4]马振群,王小椿,沈冰.对称弧线齿线圆柱齿轮的真实齿面接触分析研究[J].西安交通大学学报,2005,39(7):722-725.
    [5]马振群.对称弧线圆柱齿轮的设计制造机关键技术研究[D].西安:西安交通大学,2005:1-10.
    [6]戴玉堂,有贺幸则,姜德生.圆弧齿线圆柱齿轮的数控滚切机理与试验研究[J].中国机械工程,2006,17(6):706-709.
    [8]Litvin F L,Fuents A.Gear Geometry and Applied Theory[M].Cambridge:Cambridge University Press,2004:242-245.
    [9]Wang Peiyu,Fong Zhanghua.Fourth-order kinematic synthesis for face-milling spiral bevel gears with modified radial motion(MRM)correction[J].Journal of Mechanical Design,2006,128(3):457-467.
    [10]Stadtfeld Hermann J,Uwe Gaiser.The ultimate motion graph[J].Journal of Mechanical Design,2000,122(9):317-322.
    [11]Lee Chengkang.Manufacturing process for a cylindrical crown gear derive with a controllable fourth order polynomial function of transmission error[J].Journal of Materials Processing Technology,2009,209(1):3-13.
    [12]魏冰阳,方宗德,周彦伟,等,基于变性法的高阶传动误差设计与分析[J].西北工业大学学报,2003,21(6):757-760.