Error Measurement of Non-circular Gear Sector Profile of Rocker Arm Shaft of Steering Gear
-
摘要: 汽车转向器摇臂轴非圆齿扇是一种锥面上端截面的变位系数随端截面位置不同而变化的结构复杂的齿轮, 目前还没有专用的测量软件。本文提出了一种汽车转向器摇臂轴非圆齿扇齿廓误差测量方法, 将用齿廓法线法计算得到的理论齿廓坐标导入Kligenberg P26中的Sprocket profile模块对已知理论齿廓坐标的非圆齿扇进行测量。根据非圆齿扇齿条副的啮合特性, 计算并绘制出非圆齿扇齿条副的啮合瞬心点; 根据willis定理计算非圆齿扇的齿廓, 并用仿真软件绘制齿廓; 为了更直观的显示非圆齿扇齿齿面的误差, 将齿面网格划分, 并将同一齿槽的若干截面整合为一个完整的齿面误差模型。
-
关键词:
- 非圆齿扇 /
- Kligenberg /
- 齿廓误差测量
Abstract: The non-circular gear sector of the automobile steering gear rocker shaft is a complex structure gear whose displacement coefficient of the upper cross section of the tapered surface changes with different end cross section positions. There is currently no dedicated measurement software. This paper presents a method for measuring the tooth profile error of the non-circular gear sector of the rocker arm of the steering gear of an automobile. The theoretical tooth profile coordinates calculated by the tooth profile normal method are imported into the Sprocket profile module in Kligenberg P26 to measure non-circular gear sector with known theoretical tooth profile coordinates. According to the meshing characteristics of the non-circular gear sector rack pair, the instantaneous center of meshing of the non-circular gear sector rack pair is calculated and drawn; the tooth profile of the non-circular gear sector according to the Willis theorem is calculated, and the tooth profile by using the simulation software to is drawn; the error of the tooth surface of the non-circular tooth is intuitively displayed, the tooth surface mesh is divided, and several sections of the same tooth groove is integrated into a complete tooth surface error model.-
Key words:
- non-circular gear sector /
- Kligenberg /
- error measurement of tooth profile
-
表 1 刀具参数
参数名称 数值 齿数 4 齿全高h/mm 9 齿顶高t/mm 5 齿形角α1~α2/(°) 26.18 齿形角β1~β2(°) 26.18 齿厚t1/mm 6.18 齿厚t2/mm 6.08 齿槽宽d1/mm 6.48 齿槽宽d2/mm 6.28 刀具圆角r/(°) 0.8 
下载: 导出CSV
表 3 工件参数以及加工参数
参数名称 数值 大端齿顶圆直径dmax/mm 75.7 切削角γ/(°) 6.5 切削深度ap/mm 8 滚珠丝杆螺母导程L0/mm 9.5 齿扇极限角cmax/(°) 40 齿扇齿宽w/mm 30
下载: 导出CSV
-
[1] 周红浪, 张海峰. 摇臂轴变厚齿扇的精确建模与应用[J]. 机械工程与自动化, 2019(4): 70-72 https://www.cnki.com.cn/Article/CJFDTOTAL-SXJX201904027.htmZHOU H L, ZHANG H F. Precise modeling and application of rocker shaft thickened tooth[J]. Mechanical Engineering & Automation, 2019(4): 70-72 (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-SXJX201904027.htm [2] 吴序堂, 张振林, 言鸿祥, 等. 变传动比转向器齿轮副的传动原理及设计[J]. 机械设计, 1990(2): 53-57 https://www.cnki.com.cn/Article/CJFDTOTAL-JXSJ199002014.htmWU X T, ZHANG Z L, YAN H X, et al. Transmission principle and design of gear pair of variable ratio steering gear[J]. Journal of Machine Design, 1990(2): 53-57 (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-JXSJ199002014.htm [3] 丁国龙, 余金舫, 周国和, 等. 一种汽车转向器齿扇齿条副的设计方法: 中国, 104728378A[P]. 2015-06-24DING G L, YU J F, ZHOU G H, et al. Design method of automobile steering device gear sector and rack pair: CN, 104728378A[P]. 2015-06-24 (in Chinese) [4] 韩江, 高婷, 江本赤, 等. 非圆齿轮齿廓特性分析及偏差测量方法研究[J]. 电子测量与仪器学报, 2016, 30(10): 1520-1533 https://www.cnki.com.cn/Article/CJFDTOTAL-DZIY201610011.htmHAN J, GAO T, JANG B C, et al. Tooth profile characteristics analysis and deviation measurement study of non-circular gear[J]. Journal of Electronic Measurement and Instrumentation, 2016, 30(10): 1520-1533 (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-DZIY201610011.htm [5] 丁国龙, 沈观成, 周红浪, 等. 汽车转向器摇臂轴非圆齿扇三维参数化建模方法[J]. 机械科学与技术, 2020, 39(8): 1242-1247 doi: 10.13433/j.cnki.1003-8728.20190207DING G L, SHEN G C, ZHOU H L, et al. Three-dimensional parametric modeling of non-circular gear sector of automobile steering arm[J]. Mechanical Science and Technology for Aerospace Engineering, 2020, 39(8): 1242-1247 (in Chinese) doi: 10.13433/j.cnki.1003-8728.20190207 [6] DANIELI G A, MUNDO D. New developments in variable radius gears using constant pressure angle teeth[J]. Mechanism and Machine Theory, 2005, 40(2): 203-217 doi: 10.1016/j.mechmachtheory.2004.06.005 [7] OTTAVIANO E, MUNDO D, DANIELI G A, et al. Numerical and experimental analysis of non-circular gears and cam-follower systems as function generators[J]. Mechanism and Machine Theory, 2008, 43(8): 996-1008 doi: 10.1016/j.mechmachtheory.2007.07.004 [8] 刘永平, 孙旋, 杨存. 非圆齿轮的跨棒距测量方法研究[J]. 机械传动, 2014, 38(1): 156-158, 161 https://www.cnki.com.cn/Article/CJFDTOTAL-JXCD201401038.htmLIU Y P, SUN X, YANG C. Research of over roller measurement method of non-circular gear[J]. Journal of Mechanical Transmission, 2014, 38(1): 156-158, 161 (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-JXCD201401038.htm [9] 刘永平, 王秀梅, 安建民, 等. 基于三坐标测量机的非圆齿轮误差测量[J]. 机床与液压, 2018, 46(22): 76-79 https://www.cnki.com.cn/Article/CJFDTOTAL-JCYY201822020.htmLIU Y P, WANG X M, AN J M, et al. Error measurement of non-circular gear based on coordinate measuring machine[J]. Machine Tool & Hydraulics, 2018, 46(22): 76-79 (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-JCYY201822020.htm [10] LIN C, FAN Y, WANG Y, et al. A five-axis CNC machining method of orthogonal variable transmission ratio face gear[J]. Journal of Advanced Mechanical Design, Systems, and Manufacturing, 2014, 8(3): 14-00308 http://adsabs.harvard.edu/abs/2014JAMDS...8M..40L [11] AGMA. ANSI/AGMA 2009-B01锥齿轮等级、公差和测量方法[S]. 亚历山大: 美国齿轮制造商协会, 2001AGMA. ANSI/AGMA 2009-B01 Bevel gear classification, tolerances, and measuring methods[S]. Alexander: American Gear Manufacturers Association, 2001 (in Chinese) [12] 刘永平, 邓海青, 廖福林, 等. 非圆齿轮三维齿面误差测量技术研究[J]. 机械传动, 2019, 43(8): 47-51, 58 https://www.cnki.com.cn/Article/CJFDTOTAL-JXCD201908009.htmLIU Y P, DENG H Q, LIAO F L, et al. Research of measurement technology of 3D tooth surface error of non-circular gear[J]. Journal of Mechanical Transmission, 2019, 43(8): 47-51, 58 (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-JXCD201908009.htm -
点击查看大图
图(13) / 表(3)
计量
- 文章访问数: 224
- HTML全文浏览量: 39
- PDF下载量: 19
- 被引次数: 0
