双重螺旋法切齿参数对螺旋锥齿轮啮合特性的影响
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摘要
针对螺旋锥齿轮双重螺旋法加工,考虑切齿参数误差,采用齿面接触分析方法,以双重螺旋法加工的(8×43)准双曲线齿轮副为例,分析了切齿参数对凹凸两齿面啮合特性(接触迹位置、传动误差及瞬时接触椭圆特征)的影响,获得了齿面接触位置对切齿参数误差敏感性特征。结果表明:滚比对接触迹位置的影响最大,正向滚比误差使得接触印痕向轮齿的大端以及齿顶方向移动,造成齿根附近潜在接触区增大;而径向刀位对齿长方向的影响较大,刀具齿形角在齿高方向的影响较为明显,角向刀位对接触迹位置则几乎没有影响。
Aiming at the spiral bevel gear manufactured by duplex helical method,considering the cutting parameters errors of the gear,using the way of tooth contact analysis,take a spiral bevel gear drive( 8 × 43) generated by duplex helical method for example,the influence of the two side of the meshing characteristics,such as the position of contact track line,the function of transmission error and the features of instantaneous contact ellipse,was researched,meanwhile,the quality of the sensitivity of the cutting parameter errors impacted by the position of the tooth contact surface was obtained. The results show that rolling ratio impacts on contact trace position significantly,and the error of positive rolling ratio makes contact track line move to the direction of the top and heel of the gear,which enlarges the potential contact area near the root. The radial distance has a great impact on the direction of tooth length,and the contact track line in the direction of tooth height is obviously influenced by cutter blade angle; the angular distance almost has no effect to the trace position.
Aiming at the spiral bevel gear manufactured by duplex helical method,considering the cutting parameters errors of the gear,using the way of tooth contact analysis,take a spiral bevel gear drive( 8 × 43) generated by duplex helical method for example,the influence of the two side of the meshing characteristics,such as the position of contact track line,the function of transmission error and the features of instantaneous contact ellipse,was researched,meanwhile,the quality of the sensitivity of the cutting parameter errors impacted by the position of the tooth contact surface was obtained. The results show that rolling ratio impacts on contact trace position significantly,and the error of positive rolling ratio makes contact track line move to the direction of the top and heel of the gear,which enlarges the potential contact area near the root. The radial distance has a great impact on the direction of tooth length,and the contact track line in the direction of tooth height is obviously influenced by cutter blade angle; the angular distance almost has no effect to the trace position.
引文
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[9]黄刚,张卫青,郭晓东,等.水平轮位的高阶修正对弧齿锥齿轮齿形及接触区的影响[J].机械传动,2017,41(5):5-9.
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[11]苏进展,方宗德.弧齿锥齿轮误差敏感性优化设计[J].航空动力学报,2012,27(1):183-189.
[12]侯祥颖,方宗德.考虑边缘接触的弧齿锥齿轮有限元接触分析[J/OL].西安交通大学学报,2016(11):69-74.
[13] FAN Qi. Advanced Developments in Computerized Design and Manufacturing of Spiral Bevel and Hypoid Gear Drives[J]. Applied Mechanics and Materials,2011(86):439-442.
[14]杨林,万长龙,张超.多元参数优化调整弧齿锥齿轮齿面接触区域[J].机械研究与应用,2016(1):142-143.
[2] DING Han,ZHOU Yuan sheng,TANG Jinyuan,et al. A novel operation approach to determine initial contact point for tooth contact analysis with errors of spiral bevel and hypoid gears[J]. Mechanism and Machine Theory,2017(109):377-392.
[3]王星,方宗德,王磊,等.刀倾全展成准双曲面齿轮的切齿设计[J/OL].(2016-06-08)[2017-08-16].哈尔滨工业大学学报,2016,48(7):163-168.
[4] ZHUO Yaobin,XIANG Xueyan,ZHOU Xiaojun,et al.一种螺旋锥齿轮齿面接触区和传动误差的全局优化方法(英文)[J]. Journal of Zhejiang University-Science(Applied Physics&Engineering),2017(5):377-392.
[5]卓耀彬.螺旋锥齿轮准静态接触特性分析方法及试验研究[D].杭州:浙江大学,2016.
[6]汪中厚,李刚,久保爱三.基于数字化真实齿面的螺旋锥齿轮齿面接触分析[J].机械工程学报,2014(15):1-11.
[7]孙月海,李小亨.弧齿锥齿轮螺旋变性展成法及其轮齿接触分析[J].天津大学学报(自然科学与工程技术版),2017(4):421-428.
[8]魏冰阳,周伟光,杨建军.高减速比准双曲面齿轮的几何演变[J].河南科技大学学报(自然科学版),2017(3):19-24,4.
[9]黄刚,张卫青,郭晓东,等.水平轮位的高阶修正对弧齿锥齿轮齿形及接触区的影响[J].机械传动,2017,41(5):5-9.
[10]苏进展,方宗德.弧齿锥齿轮印痕稳定性优化设计与试验[J/OL].(2012-11-15)[2017-08-16].航空动力学报,2012,27(11):2622-2628.
[11]苏进展,方宗德.弧齿锥齿轮误差敏感性优化设计[J].航空动力学报,2012,27(1):183-189.
[12]侯祥颖,方宗德.考虑边缘接触的弧齿锥齿轮有限元接触分析[J/OL].西安交通大学学报,2016(11):69-74.
[13] FAN Qi. Advanced Developments in Computerized Design and Manufacturing of Spiral Bevel and Hypoid Gear Drives[J]. Applied Mechanics and Materials,2011(86):439-442.
[14]杨林,万长龙,张超.多元参数优化调整弧齿锥齿轮齿面接触区域[J].机械研究与应用,2016(1):142-143.