Contact Analysis of Tooth Surface in Gear Meshing Based on Infrared Ray Imagery

Abstract:

Improving accuracy ofthe gear tooth surface has become an important challenge, because the toothsurface accuracy greatly influences vibration of gears. However, for the spiralbevel gear, the tooth surface accuracy is considered to be very difficult toevaluate because the geometrical theory is difficult. Generally, the managementof tooth surface accuracy has conventionally been substituted by the toothsurface contact evaluation with red lead, which is a kind of paint. However,the results of visual examinations are too subjective. We therefore focused onthe infrared ray imagery to investigate the gear tooth meshing. In this research,a high response infrared thermography was used to estimate the tooth contact ofa hypoid gear under running conditions. Specifically, we looked at the increasein temperature on the tooth surface caused by gear meshing. The results clearlyshowed that the temperature was affected by load, sliding speed between toothsurfaces, and the average peripheral speed of tooth surface. We also proposedan equation that predicts tooth surface temperature rise and showed its utility.Thus, the proposed method effectively evaluates the tooth surface accuracy ofhypoid gear.

• Periodical: Materials Science Forum (Volumes 773-774)
• Pages: 563-572
• DOI: https://doi.org/10.4028/www.scientific.net/MSF.773-774.563
• Online since: November 2013
• Authors: Kouji Nakajima, Toshiki Hirogaki, Eiichhi Aoyama, Masaki Nagata
• Keywords: Gear, Hypoid Gear, Middle-Infrared Ray, Tooth Contact Evaluation

References

[1] Kazuo Yoshikawa, Hirofumi Tani, Ichiro Tarutani, Akira Suzuki, Hiroki Maki, Yasushi Ueda, Measurement of Helical Gear Transmission Error and Improvement of Analytical Method, Journal of JSME, Vol.63, No.69 (1997), pp.1775-1782. (in Japanese)

DOI: 10.1299/kikaic.63.1775

[2] J.H. Kuang, A.D. Lin, The Effect of Tooth Wear on the Vibration Spectrum of a Spur Gear Pair, Transactions of the ASME(Journal of Vibration and Acoustics), Vol.123 (2001), pp.311-317.

DOI: 10.1115/1.1379371

[3] Mitsuhiro Umeyama, Masana Kato, Katsumi Inoue, Transmission Error of a Helical Gear Pair with Modified Tooth Surface: 1st Report, Actual Contact Ratio and the Effects of the Load on the Transmission Error, Journal of JSME, Vol.62, No.603 (1996), pp.4332-4348. (in Japanese)

DOI: 10.1299/kikaic.62.4332

[4] Kazumasa Kawasaki, Hirokazu Michiwaki, Kentarou Suzuki, Transmission Error Analysis of Spiral Bevel Gears in Gleason System, Journal of JSME, Vol.65, No.639 (1999), pp.4476-4483. (in Japanese)

DOI: 10.1299/kikaic.65.4476

[5] Susumu Mishima, Akira Yoshida, Hirofumi Sentoku, Design on Spiral Bevel Gear Flank for Forging Die: Part 1, Measurement and Evaluation Methods of Tooth Flank, Design Engineering, Vol.38, No.1 (2003), pp.26-32. (in Japanese)

[6] Takao Koide, Satoshi Oda, Yukiharu Nagata, Shogo Kato, Effects of Spiral Angle on Tooth Bearing, Transmission Error and Root and Contact Stresses of Spiral Bevel Gears, Design engineering, Vol.38, No.8 (2003), pp.45-50. (in Japanese)

[7] Yoshiharu Matsuda, Minoru Hiraoka, Quantified Inspection of Hypoid Gear Tooth Bearing by Image Processing, Society of Automotive Engineer of Japan, Vol.44, No.11 (1990), pp.23-27. (in Japanese)

[8] Takahide Sakagami, Takashi Nishimura, Naoki Yamaguchi, Shiro Kubo, Development of a New Motion Compensation Technique in Infrared Stress Measurement Based on Digital Image Correlation Method, Journal of JSME, Vol.72, No.724 (2006), pp.1853-1859. (in Japanese)

DOI: 10.1007/978-1-4020-6239-1_423

[9] Masanobu Wada, Tyoan Nakano, Infrared Rays Engineering, Kindai Kagaku sha Co., Ltd., (1963), pp.3-30. (in Japanese)

[10] The Japan Society of Infrared Science and Technology, Infrared Rays Engineering -basic and application, Ohm sha, Ltd., (1991), pp.11-20. (in Japanese)

[11] Blok, H., Inst.tribl., T.D. Delft, (1970), p.20.

[12] Gang Deng, Tsutomu Nakanishi, Evaluation of Surface Fatigue Strength Based on Surface Temperature: Surface Temperature Calculation for Rolling-Sliding Contact, Journal of JSME, Vol.65, No.630 (1999), pp.300-305. (in Japanese)

DOI: 10.1299/jsmec.44.217