为检测滚动直线导轨副滑块内滚道的位置、圆弧半径，提出了一种基于激光位移传感器测距的滑块内滚道的检测方法，该方法将激光位移传感器相对内轨道轴线以一定角度倾斜,通过扫描内滚道轮廓得出一个半椭圆轮廓，以最小二乘法进行椭圆拟合。通过数学分析,内滚道位置和半径大小可以转化为拟合椭圆的形心位置和椭圆的短轴长。通过对高精度圆柱做等效验证试验，验证了测量方案的可行性，最后进行了多方面的误差分析。
Abstract
In order to obtain the Position and radius value of the slider inner raceway about Linear Rolling Guide , A method based on the laser displacement sensor to detect the slider inner raceway is presented. In this method, The laser displacement sensor relative to the inner rail axis inclined at an angle, obtained a semi elliptical contour by scanning the inner raceway contours, and then combined with the Least Squares to complete ellipse fitting. Through mathematical analysis, the value of the positional tolerance and radius of the inner raceway can be turn into the semi-short axis length and the poid of the fitting ellipse. By using the High precision cylinder, The feasibility of measuring method is validated in the verification experiment, Finally error analysis was carried out from various aspects.
关键词
滑块内滚道 /
位置 /
半径 /
椭圆拟合 /
验证试验
{{custom_keyword}} /
Key words
the slider inner raceway /
Positional Tolerance /
radius value /
ellipse fitting /
verification experiment
{{custom_keyword}} /
{{custom_sec.title}}
{{custom_sec.title}}
{{custom_sec.content}}
参考文献
[1] Ohta H.;Hayashi E..Vibration of linear guideway type recirculating linear ball bearings[J].Journal of Sound and Vibration.2000(NO.5).
[2] Hiroyuki Ohta. Sound of Linear Guideway Type Recirculating Linear Ball Bearings[J].Journal of Tribology.1999(No.4).
[3] Hiroyuki Ohta; Takumi Nakagawa. Using Ceramic Balls to Reduce Noise in a Linear Guideway Type Recirculating Linear Ball Bearing[J].Journal of Tribology.2003(NO.3).
[4] Hiroyuki Ohta; Yoshiki Kitajima; Soichiro Kato; Yutaka Igarashi.Effects of Ball Groupings on Ball Passage Vibrations of a Linear Guideway Type Ball Bearing (Pitching and Yawing Ball Passage Vibrations)[J].Journal of Tribology.2006(No.1).
[5] Ohta, Hiroyuki; Kato, Soichiro; Matsumoto, Jun; Nakano, Kenta. A Design of Crowning to Reduce Ball Passage Vibrations of a Linear Guideway Type Recirculating Linear Ball Bearing[J].Journal of Tribology.2005(NO.2).
[6] 王玉霞,冯栓良,李全胜等.平板类零件平面度平行度的测量[J].内燃机与配件,2010,(6):25-28,35.DOI:10.3969/j.issn. 1674-957X.2010.06.009.
Wang Yu-xia; Feng Shuan-liang; Li Quan-sheng; Duan Cheng-hua. Measuring Parallelism and Flatness of Flat parts. Internal Combustion Engine & Part. 2010（6）25-28,35
[7] 黄富贵.平面度误差各种评定方法的比较[J].工具技术,2007,41(8):107-109.DOI:10.3969/j.issn.1000-7008.2007.08.033.
Huang Fu-gui. Comparison of Various Evaluating Methods for Flatness Error [J]. Tool Engineering. 2007, 41(8),107-109.
[8] 王小林，熊新海，张高峰等. 基于椭圆最小二乘法和圆度轮廓误差评定的椭圆提取方法[J].河南理工大学学报（自然科学版）,2008,27(3)294-298.DOI:10.3969/j.issn.1673-9787. 2008.03.008.
Wang Xiao-lin;Xiong Xin-hai;Zhang Gao-feng.The method of ellipse contour extraction based on Least-squares and elliptic roundness error[J]. Journal of HeNan polytechnic University (Nature Science).2008,27(3).294-298
[9] 潘国荣，赵鹏飞.基于空间向量的三维基准转换模型[J].大地测量与地球动力学,2009,29(6):79-82.DOI:10.3969/ j.issn.1671-5942.2009.06.018.
Pan Guo-rong; Zhao Peng-fei; 3D DATUM TRANSFOR- MATION MODEL BASED ON SPACE VECTOR[J]. Journal of Geodesy and Geodynamics.2009,29(6),78-82
[10] 张文睿,张保成.连杆孔中心线平行度测量计算方法研究[J].机械研究与应用,2012,(5):27-29,32.DOI:10.3969/ j.issn.1007-4414.2012.05.010.
Zhang Wen-rui; Zhang Bao-cheng. Calculation method research on the parallel measurements of connecting rod centerline[J]. Mechanical Research & Application.2012,5,27-29,32.
[11] 闫蓓,王斌,李媛等.基于最小二乘法的椭圆拟合改进算法[J].北京航空航天大学学报,2008,34(3):295-298.
Yan bei; Wang Bin; Li Yuan. Optimal ellipse fitting method based on least-square principle. Journal of BeiJing University of Aeronautics.2008,34(3),295-298.
{{custom_fnGroup.title_cn}}
脚注
{{custom_fn.content}}
PDF(1883 KB)
