Abstract
To avoid tooth edge contact of high contact ratio spiral bevel gear under misalignment or heavy load, a tooth surface modification method based on cutter blade profile correction is proposed. Generally, an arc blade is used to substitute the straight blade of cutter-head to get the ideal tooth surface. Firstly of all, the mathematical model of the cutter blade profile is established. Secondly, the computational method of the unknown parameters used to determine the cutter blade profile is presented in details. Thirdly, the modified tooth surfaces of pinion and gear are deduced based on the principle of gear mesh and the theory of differential geometry. Finally, a numerical example is carried out to verify the effectiveness of the tooth surface modification method with the method of finite element analysis (FEA) and tooth contact analysis (TCA). The TCA result shows that the tooth surface modification method can effectively reduce tooth edge contact without affecting the location of contact path. It can also ensure the symmetry of geometric transmission error curve. The results of the FEA show that the tooth surface modification method can not only effectively avoid tooth edge contact but can also reduce the maximum contact stress on the tooth surface. It can also reduce the adverse effects of misalignment.
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References
Litvin FL, Chaing WS, Kuan C (1991) Generation and geometry of hypoid gear-member with face-hobbed teeth of uniform depth. Int J Mach Tools Manuf 31(2):167–181
Zheng CQ (1988) Spiral bevel gear and hypoid gear. China Machine Press, Beijing
Litvin FL, Wang AG, Handschuh RF (1998) Computerized generation and simulation of meshing and contact of spiral bevel gears with improved geometry. Comput Methods Appl Mech Eng 158(1–2):35–64
Litvin FL, Fuentes A, Fan Q (2002) Computerized design, simulation of meshing and contact and stress analysis of face-milled formate generated spiral bevel gears. Mech Mach Theory 37(5):441–459
Litvin FL, Fuentes A, Hayasaka K (2006) Design, manufacture, stress analysis, and experimental tests of low-noise high endurance spiral bevel gears. Mech Mach Theory 41(1):83–118
Simon V (2009) Advanced design and manufacture of face-hobbed spiral bevel gears. Am Soc Mech Eng 4:539–548
Simon V (2009) Head-cutter for optimal tooth modifications in spiral bevel gears. Mech Mach Theory 44(7):1420–1435
Kawasaki K (2005) Effect of cutting edge profile on meshing and contact of spiral bevel gears in cyclo-palloid system. Mech Based Des Struct Mach 33(3–4):343–357
Kawasaki K, Tsuji I (2009) Analytical and experimental tooth contact pattern of large-sized spiral bevel gears in cyclo-palloid system. ASME 2009 international design engineering technical conferences and computers and information in engineering conference: 139-47
Fan Q (2006) Kinematical simulation of face hobbing indexing and tooth surface generation of spiral bevel and hypoid gears. Gear Technol 23:30–38
Fan Q (2007) Enhanced algorithms of contact simulation for hypoid gear drives produced by face-milling and face-hobbing processes. ASME J Mech Des 129(1):31–37
Fan Q (2010) Tooth surface error correction for face-hobbed hypoid gears. ASME J Mech Des 132(1):011004
Guo W, Mao S, Yang Y (2016) Optimization of cutter blade profile for face-hobbed spiral bevel gears. Int J Adv Manuf Technol 85(1–4):1–8
Stadtfeld HJ (2008) Guidelines for Modern Bevel Gear Grinding. The Gleason Works
Wang PY, Fong ZH (2005) Mathematical model of face-milling spiral bevel gear with modified radial motion (MRM) correction. Math Comput Model 41(11–12):1307–1323
Wang PY, Fong ZH (2005) Adjustability improvement of face-milling spiral bevel gears by modified radial motion (MRM) method. Mech Mach Theory 40(1):69–89
Mu YM, Fang ZD (2017) An ease-off flank modification method for high contact ratio spiral bevel gears with modified curvature motion. J Adv Mech Des Syst Manuf 11(3):1–12
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We thank the support from the National Science Foundation of China (NO. 51375384). We also thank all reviewers and editors for their valuable comments and suggestions.
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Mu, Y., Li, W. & Fang, Z. Tooth surface modification method of face-milling spiral bevel gears with high contact ratio based on cutter blade profile correction. Int J Adv Manuf Technol 106, 3229–3237 (2020). https://doi.org/10.1007/s00170-019-04738-3
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DOI: https://doi.org/10.1007/s00170-019-04738-3