Precision compensation method for tooth flank measurement error of hypoid gear

Abstract When measuring the tooth flank of hypoid gear, the measurement datum surface (the large end surface of the gear) does not always coincide with the design bases (the theoretical mounting distance), and this non-coincidence error would affect the tooth flank measurement results. Based on the measurement theory of the hypoid gear tooth flank, a precision matching method of the theoretical tooth surface and the measured tooth surface is designed, the objective function of the tooth flank matching method is established, and the search iterative method was used to calculate the compensation value of the measurement error of the tooth flank, when the two gear tooth surface is most accurately matched. As the mounting distance of the hypoid gear changes, two experiments are done to verify the proposed method. The experiment results show that, for different tooth flank of the measured gear, the measuring error of the tooth flank along Z -axis dropped significantly after compensated by this method, more than 80% of the error along Z -axis are compensated. It is obvious that this method could improve the measurement accuracy of the tooth flank form of hypoid gear.

[1]  Faydor L. Litvin,et al.  Minimization of Deviations of Gear Real Tooth Surfaces Determined by Coordinate Measurements , 1993 .

[2]  M. S. Shunmugam,et al.  Establishing gear tooth surface geometry and normal deviationPart II—bevel gears , 1998 .

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

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

[5]  Takehiro Ito,et al.  High-precision measurement of an involute artefact by a rolling method and comparison between measuring instruments , 2009 .

[6]  Grzegorz Budzik,et al.  Experimental method of tooth contact analysis (TCA) with rapid prototyping (RP) use , 2008 .

[7]  Xing Bin Machine-settings Correction of Spiral Bevel Gear Based on Coordinate Measuring Machine , 2010 .

[8]  Masaharu Komori,et al.  Design Method of Double Ball Artifact for Use in Evaluating the Accuracy of a Gear-Measuring Instrument , 2010 .

[9]  Masaharu Komori,et al.  Development of scanning measurement of tooth flankform of generated face mill hypoid gear pair with reference to the conjugate mating tooth flank form using 2 axes sensor , 2011 .

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

[11]  V. Simon Influence of tooth errors and misalignments on tooth contact in spiral bevel gears , 2008 .

[12]  Andreas Griewank,et al.  Direct gear tooth contact analysis for hypoid bevel gears , 2002 .

[13]  Masaharu Komori,et al.  Evaluation method of lead measurement accuracy of gears using a wedge artefact , 2009 .

[14]  中厚 汪,et al.  ハイポイドギヤ・べベルギヤの運転性能解析法 : 第2報,歯面形状定義基準面のとり方がシミュレーション精度に及ぼす影響 , 1996 .

[15]  Shinji Yamamoto,et al.  Performance analysis of generated hypoid gear based on measured tooth flank form data , 2014 .

[16]  Xue-mei Cao,et al.  Geometric error measurement of spiral bevel gears and data processing , 2008, International Symposium on Precision Mechanical Measurements.

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

[18]  Edoardo Battaglia,et al.  On the estimation of continuous mappings from cradle-style to 6-axis machines for face-milled hypoid gear generation , 2011 .

[19]  Shuichi Fukuda,et al.  New World Situation: New Directions in Concurrent Engineering, Proceedings of the 17th ISPE International Conference on Concurrent Engineering, Cracow, Poland, September 6-10, 2010 , 2010, ISPE CE.

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