Compensation method for the alignment angle error in pitch deviation measurement

When measuring the tooth flank of an involute helical gear by gear measuring center (GMC), the alignment angle error of a gear axis, which was caused by the assembly error and manufacturing error of the GMC, will affect the measurement accuracy of pitch deviation of the gear tooth flank. Based on the model of the involute helical gear and the tooth flank measurement theory, a method is proposed to compensate the alignment angle error that is included in the measurement results of pitch deviation, without changing the initial measurement method of the GMC. Simulation experiments are done to verify the compensation method and the results show that after compensation, the alignment angle error of the gear axis included in measurement results of pitch deviation declines significantly, more than 90% of the alignment angle errors are compensated, and the residual alignment angle errors in pitch deviation measurement results are less than 0.1 μm. It shows that the proposed method can improve the measurement accuracy of the GMC when measuring the pitch deviation of involute helical gear.

[1]  Masaharu Komori,et al.  Design and Error Analysis of Multiball Artifact Composed of Simple Features to Evaluate Pitch Measurement Accuracy , 2009 .

[2]  Stefan Björklund,et al.  The influence of manufacturing method on the running-in of gears , 2011 .

[3]  Masaharu Komori,et al.  Artifact Design and Measurement Error Analysis in the Evaluation of Lead Measurement Accuracy of Helical Gear Using Wedge Artifact , 2010 .

[4]  Masaharu Komori,et al.  Gear checker analysis and evaluation using a virtual gear checker , 2009 .

[5]  M. J. Cunningham,et al.  The accuracy of image analysis methods in spur gear metrology , 1995 .

[6]  Jin Yuan Tang,et al.  Transmission Error Calculation Based on Manufacturing Errors and Load , 2014 .

[7]  Wang,et al.  Effects of Comprehensive Eccentricity of Involute Cam on Gear Profile Deviations , 2011 .

[8]  Robert J. Hocken,et al.  Evaluation of Runout Deviation at Bevel Gears based on Pitch Measurements , 2006 .

[9]  Suk-Hwan Suh,et al.  Geometric error measurement of spiral bevel gears using a virtual gear model for STEP-NC , 2002 .

[10]  Gert Goch,et al.  Future gear metrology based on areal measurements and improved holistic evaluations , 2017 .

[11]  Wang Hong,et al.  A new kind of gear measurement technique , 1997 .

[12]  Alberto Luiz Serpa,et al.  Investigation of tooth contact deviations from the plane of action and their effects on gear transmission error , 2005 .

[13]  S. Senthilvelan,et al.  Influence of reinforcement on composite gear metrology , 2008 .

[14]  William D. Mark METHOD FOR PRECISION CALIBRATION OF ROTARY SCALE ERRORS AND PRECISION DETERMINATION OF GEAR TOOTH INDEX ERRORS , 1998 .

[15]  Mohammad A. Younes,et al.  Automatic measurement of spur-gear dimensions using laser light. Part 1: measurement of tooth thickness and pitch , 2005 .

[16]  Leonardo De Chiffre,et al.  Development and validation of a new reference cylindrical gear for pitch measurement , 2000 .

[17]  Bengt-Göran Rosén,et al.  Optimization of Gear Tooth Surfaces , 1998 .

[18]  Suping Fang,et al.  Compensation method for the alignment angle error of a gear axis in profile deviation measurement , 2013 .

[19]  W. Lotze,et al.  3D Gear Measurement By CMM , 1970 .

[20]  Mohammad A. Younes,et al.  Automatic measurement of spur gear dimensions using laser light, part 2: measurement of flank profile , 2005 .

[21]  Masaharu Komori,et al.  Evaluation of instruments for helix measurement using wedge artifact , 2010 .

[22]  Masaharu Komori,et al.  Calibration method for magnetically self-aligned multiball pitch artifact and accuracy upon reassembly , 2016 .

[23]  Masaharu Komori,et al.  Magnetically self-aligned multiball pitch artifact using geometrically simple features , 2015 .

[24]  Suping Fang,et al.  Research on the compensation method for the measurement error of cycloidal gear tooth flank , 2014 .

[25]  Wei Gao,et al.  Pitch deviation measurement of an involute spur gear by a rotary profiling system , 2015 .