Abstract
This paper proposes a function-oriented form-grinding approach to obtain excellent and stable contact performance of cylindrical gears by designing modification forms based on a predesigned controllable fourth-order transmission error (TE) function and error sensitivity evaluation. First of all, a predesigned fourth-order TE polynomial function is assigned to the gear drive. Mathematical models of modified tooth surfaces that can describe their local deviation and ease-off topography are then obtained with the predesigned fourth-order TE function. The corresponding error sensitivity analysis is applied for investigation that reflects inherent relationships between contact attributes of modified tooth surfaces and misalignments. Moreover, the form-grinding wheel’s profile equation, the coordinate transformation matrix during form-grinding, and settings of computer numerical control (CNC) form-grinding programs for this active design method can be determined. This approach is ultimately conducted on three involute cylindrical gear pairs to demonstrate its feasibility and effectiveness.
Similar content being viewed by others
References
Khalilpourazary S, Meshkat SS (2014) Investigation of the effects of alumina nanoparticles on spur gear surface roughness and hobby tool wear in hobbing process. Int J Adv Manuf Technol 71(9):1599–1610
Falah AH, Alfares MA, Elkholy AH (2013) Localised tooth contact analysis of single envelope worm gears with assembly errors. Int J Adv Manuf Technol 68(9):2057–2070
Litvin FL, Fuentes A (2004) Gear geometry and applied theory, 2nd edn. Cambridge University Press, Cambridge, pp 282–287
Berbinschi S, Teodor V, Oancea N (2013) 3D graphical method for profiling gear hob tools. Int J Adv Manuf Technol 64(1):291–304
Wang YZ, Lan Z, Hou LW, Zhao HP, Zhong Y (2015) A precision generating grinding method for face gear using CBN wheel. Int J Adv Manuf Technol 79(9):1839–1848
Tan RL, Chen BK, Peng CY, Li X (2015) Study on spatial curve meshing and its application for logarithmic spiral bevel gears. Mech Mach Theory 86(4):172–190
Guo WC, Mao SM, Yang Y, Kuang YH (2016) Optimization of cutter blade profile for face-hobbed spiral bevel gears. Int J Adv Manuf Technol 85(1):209–216
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
Stadtfeld HJ, Gaiser U (2000) The ultimate motion graph. J Mech Des 122(3):317–322
Wang PY, Fong ZH (2006) Fourth-order kinematic synthesis for face-milling spiral bevel gears with modified radial motion (MRM) correction. J Mech Des 128(2):457–467
Lin CY, Tsay CB, Fong ZH (2001) Computer-aided manufacturing of spiral bevel and hypoid gears by applying optimization techniques. J Mater Process Technol 114(1):22–35(14)
Shih YP, Chen SD (2012) A flank correction methodology for a five-axis CNC gear profile grinding machine. Mech Mach Theory 47:31–45
Artoni A, Gabiccini M, Guiggiani M (2008) Nonlinear identification of machine settings for flank form modifications in hypoid gears. J Mech Des 130(11):1671–1676
Fan Q, DaFoe RS, Swanger JW (2008) Higher order tooth flank form error correction for face-milled spiral bevel and hypoid gears. J Mech Des 130(7):072601
Simon VV (2009) Design and manufacture of spiral bevel gears with reduced transmission errors. J Mech Des 131(4):041007
Lee CK (2009) Manufacturing process for a cylindrical crown gear derive with a controllable fourth order polynomial function of transmission error. J Mater Process Tech 209(1):3–13
Su JZ, Fang ZD, Cai XW (2013) Design and analysis of spiral bevel gears with seventh-oreder function of transmission error. Chin J Aeronaut 26(5):1310–1316
Jiang JK, Fang ZD (2015) Design and analysis of modified cylindrical gear with a higher-order transmission error. Mech Mach Theory 88(6):141–152
Jiang JK, Fang ZD (2015) High-order tooth flank correction for a helical gear on a six-axis CNC hob machine. Mech Mach Theory 91(9):227–237
Han J, Wu LL, Yuan B, Tian XQ, Xia L (2017) A novel gear maching CNC design and experimental research. Int J Adv Manuf Technol 88(5):1711–1722
Jin T, Yi J, Li P (2016) Temperature distributions in form grinding of involute gears. Int J Adv Manuf Technol DOI. doi:10.1007/s00170-016-8971-z
Li G, Wang ZH, Kubo A (2016) The modeling approach of digital real tooth surfaces of hypoid gears based on non-geometric-feature segmentation and interpolation algorithm. Int J Precis Eng Man 17(3):281–292
Shih YP, Fong ZH (2007) Flank modification methodology for face-hobbing hypoid gears based on ease-off topography. J Mech Des 129(12):1294–1302
Kolivand M, Kahraman A (2010) An ease-off based method for loaded tooth contact analysis of hypoid gears having local and global surface deviations. J Mech Des 132(7):071004
Yang Y, Mao SM, Kuang YH (2016) Pinion development of face-milled spiral bevel and hypoid gears based on contact attributes. Int J Adv Manuf Technol 84(9):2347–2356
Simon VV (2011) Influence of tooth modifications on tooth contact in face-hobbed spiral bevel gears. Mech Mach Theory 46(12):1980–1998
Chen HJ, Ju ZL, Qu C, Cai X, Zhang Y, Liu J (2013) Error-sensitivity analysis of hourglass worm gearing with spherical meshing elements. Mech Mach Theory 70(12):91–105
Li G, Wang ZH, Kubo A (2015) Error-sensitivity analysis for hypoid gears using a real tooth surface contact model. P I Mech Eng, Part C_ J Mech Eng Sci. doi:10.1177/0954406215616835
Author information
Authors and Affiliations
Corresponding author
Electronic supplementary material
.
ESM 1
(JPG 1360 kb)
Rights and permissions
About this article
Cite this article
Li, G., Wang, Z., Zhu, W. et al. A function-oriented active form-grinding method for cylindrical gears based on error sensitivity. Int J Adv Manuf Technol 92, 3019–3031 (2017). https://doi.org/10.1007/s00170-017-0363-5
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00170-017-0363-5