Different Point Contact Error and Correction Method in Gear Integrated Error Measurement

doi:10.3901/JME.2017.19.166

Abstract

Abstract: In the area of gear integrated error technology of gear measurement, the problem that existing difference between the results of gear integrated error measurement and the single parameter measurement has not been solved well. By analyzing the phenomena of different point contact in gear integrated error measurement, the definition and calculation method of different point contact error, and the error correction method based on quasi-morphological filtering is proposed. The inherent difference between the errors resulted from different point contact and curvature interference are identified. Simulations of different point contact error correction and experiments of different point contact error correction for actual measured data are conducted. Theoretical analysis and experimental data show that the measurement result after correction are closer to the true shape of the actual measured tooth profile, the application of this method of error correction has significant effect and can improve the measurement accuracy of the gear instruments which based on integrated error technology.

Key words: different point contact, error correction, gear integrated error, quasi morphological filtering

CLC Number:

TG86

WANG Xiaoyi, SHI Zhaoyao, SHU Zanhui, YU Bo. Different Point Contact Error and Correction Method in Gear Integrated Error Measurement[J]. Journal of Mechanical Engineering, 2017, 53(19): 166-175.

References

[1] 黄立里,钟行群. 齿轮的动态全误差曲线及其测量方法[J]. 中国科学,1973(4):434-453. HUANG Lili,ZHONG Xingqun. Dynamic whole error curves of gear and measuring method[J]. Science in China,1973(4):434-453.
[2] 石照耀,王笑一,于渤,等. 齿轮整体误差测量中齿廓评价区域确定方法[J]. 机械工程学报,2017,53(3):34-42. SHI Zhaoyao,WANG Xiaoyi,YU Bo,et al. New method to determine the profile evaluation area in gear integrated error measurement[J]. Journal of Mechanical Engineering,2017,53(3):34-42.
[3] GOCH G. Gear metrology[J]. CIRP Annals-Manufacturing Technology,2003,52(2):659-695.
[4] LIU Jian,WANG Zhaobing,WU Hongji,et al. Single flank total composite error analysis and noise prediction of gears[J]. Precision Engineering,1987,9(2):83-90.
[5] 黄潼年. 齿轮动态整体误差测量新技术[J]. 四川机械. 1979(1):1-26. HUANG Tongnian. Gear dynamic integrated error measurement new technology[J]. Machinery,1979(1):1-26.
[6] 张兆龙,黄尚廉,黄潼年. 齿轮误差单面啮合运动测试技术的展望[J]. 现代计量测试,1995(6):2-7. ZHANG Zhaolong,HUANG Shanglian,HUANG Tongnian. Review of gear measurement using single flank meshing movement method[J]. Modern Measurement and Test,1995(6):2-7.
[7] 柏永新,柏又青. 齿轮全齿宽整体误差的计算机处理[J]. 计量技术,1996(5):6-9. BAI Yongxin,BAI Youqing. Computerized processing of gear integrated error of full face width[J]. Measurement Technique,1996(5):6-9.
[8] 石照耀,康焱. 齿轮副整体误差及其获取方法[J]. 天津大学学报,2012(2):128-134. SHI Zhaoyao,KANG Yan. Gear pair integrated error and its measurement method[J]. Journal of Tianjin University,2012(2):128-134.
[9] 张兆龙. 齿轮误差单面啮合测量技术的解析与几何分析[J]. 工具技术,1993(9):42-45. ZHANG Zhaolong. Analytic and geometric expression of gear single meshing measurement[J]. Tool Engineering,1993(9):42-45.
[10] 段振云,金嘉琦,郑鹏,等. 齿轮整体误差测量过程的平差效应[J]. 机械工程学报,2001,37(2):55-57. DUAN Zhenyun,JIN Jiaqi,ZHENG Peng,et al. Mean error effect of gear integrated error measuring process[J]. Chinese Journal of Mechanical Engineering,2001,37(2):55-57.
[11] 商向东,付景顺,段振云,等. 齿轮整体误差测量过程的数字仿真[J]. 机械工程学报,2000,36(5):15-17. SHANG Xiangdong,FU Jingshun,DUAN Zhenyun,et al. Numerical emulation of gear integrated error measuring process[J]. Chinese Journal of Mechanical Engineering,2000,36(5):15-17.
[12] SHI Zhaoyao,WANG Xiaoyi,SHU Zanhui. Theoretical method for calculating the unit curve of gear integrated error[J]. Journal of Mechanical Design,Transactions of the ASME,2016,138(3):333301-1-8.
[13] 谢华锟,冯刚,傅瑛,等. 齿轮精度理论和测量技术的发展[J]. 工具技术,2009(11):3-7. XIE Huakun,FENG Gang,FU Ying,et al. Development on gear accuracy theory and gear measuring technology[J]. Tool Engineering,2009(11):3-7.
[14] WANG Xiaoyi,SHI Zhaoyao,SHU Zanhui,et al. Study on evaluation system of gear accuracy based on statistical analysis[C]//Velex P. International Gear Conference,August 26-28,2014,Lyon. Oxford:Chandos Publishing,2014,905-913.
[15] ISO 1328-1:2013 cylindrical gears-ISO system of accuracy-Part 1:Definitions and allowable values of deviations relevant to corresponding flanks of gear teeth[S]. 2013.
[16] 商向东,段振云,付景顺,等. 小齿形角渐开线蜗杆测量齿轮整体误差研究[J]. 沈阳工业大学学报,1997(5):2-5. SHANG Xiangdong,DUAN Zhenyun,FU Jingshun,et al. Study on measurement of gear whole error with small pressure angle involute worms[J]. Journal of Shenyang University of Technology,1997(5):2-5.
[17] 石照耀,王笑一. 用于接触式测头测量中提取二维轮廓的准形态学滤波方法:中国,201410318667.6[P]. 2014-08-19. SHI Zhaoyao,WANG Xiaoyi. Quasi-morphological filtering method for recovering 2-D outline in measurement of contact probe:China,201410318667.6[P]. 2014-08-19.
[18] LOTZE W,HÄRTIG F. 3D gear measurement by CMM[J]. Laser Metrology and Machine Performance V,2001,34:333-344.
[19] LITVIN F L,LU J,TOWNSEND D P,et al. Computerized simulation of meshing of conventional helical involute gears and modification of geometry[J]. Mechanism and Machine Theory,1999,34(1):123-147.
[20] PFEIFER T,KUROKAWA S,MEYER S. Derivation of parameters of global form deviations for 3-dimensional surfaces in actual manufacturing processes[J]. Measurement,2001,29(3):179-200.
[21] 林虎. 齿轮误差多自由度理论及实践[D]. 北京:北京工业大学,2013. LIN Hu. Theory & practice of multi-degree-of-freedom of gear deviations[D]. Beijing:Beijing University of Technology.