Due to the installation error in the transmission of aviation spiral bevel gears,its uncertainty had a great impact on the noise and robustness of the gear transmission.Monte Carlo simulation was used to describe the sampling method and the multi⁃island genetic algorithm for spiral bevel gears.The design of the second⁃order contact parameters was combined with the local synthesis method and the
analysis method to form a robust optimization design method.And a robust optimization design not sensitive to installation errors was developed.The results showed that,under a given working condition, the robustness of the uncertainty of installation error in gear transmission can be improved to more than 99.9% by reasonably presetting the value and tolerance of second⁃order contact parameters,the sensitivity of contact mark and transmission error can be effectively reduced by more than 30%,and the contact performance of spiral bevel gear transmission can thus be improved.The feasibility of the robust design method for spiral bevel gears based on the
robust optimization design technique in the article was verified.
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BAXTER M L . Effect of misalignment on tooth action of bevel and hypoid gears [R]. ASME Paper 61⁃MD⁃20 , 1962 .
LITVIN F L , CHEN J . Computerized simulation of transmission errors and shift of bearing contact for face⁃milled hypoid gear drive [J]. Journal of Mechanical Design , 1995 , 117 ( 6 ): 262 ⁃ 268 .
LITVIN F L , ZHANG Y . Local synthesis and tooth contact analysis of face⁃milled spiral bevel gears [R]. Chicago : NASA Lewis Research Center , 1991 .
SIMON V . Computer simulation of tooth contact analysis of mismatched spiral bevel gears [J]. Mechanism and Machine Theory , 2007 , 42 ( 3 ): 365 ⁃ 381 .
SIMON V . Influence of tooth errors and misalignments on tooth contact in spiral bevel gears [J]. Mechanism and Machine Theory , 2008 , 43 ( 10 ): 1253 ⁃ 1267 .
ARGYRIS J , FUENTES A , LITVIN F L L . Computerized integrated approach for design and stress analysis of spiral bevel gears [J]. Computer Methods in Applied Mechanics and Engineering . 2002 , 191 ( 11 ): 1057 ⁃ 1095 .
CAI Xiangwei . Research on meshing characteristics and tooth surface design of aero spiral bevel gears [D]. Xi'an : Northwestern Polytechnical University , 2015 . (in Chinese)
WANG Xiaochun , WU Xutang . Sensitivity of the contact characteristics of skew point contact surfaces to the mounting error [J]. Journal of Xi'an Jiao Tong University , 1990 , 24 ( 6 ): 45 ⁃ 57 . (in Chinese)
TANG Jinyuan , LEI Guowei , DU Jin , et al . Research on alignment error sensitivity and tolerance tolerance limit analysis of spiral bevel gear [J]. Journal of Aerospace Power , 2009 , 24 ( 8 ): 1878 ⁃ 1885 . (in Chinese)
SU Jinzhan , FANG Zongde . Optimization design and test of stability of contact patterns of spiral bevel gear [J]. Journal of Aerospace Power , 2012 , 27 ( 11 ): 2622 ⁃ 2628 . (in Chinese)
GUO Fang , FANG Zongde . The statistical analysis of the dynamic performance of a gear system considering random manufacturing errors under different levels of machining precision [J]. Proceedings of the Institution of Mechanical Engineers:Part K Journal of Multi⁃Body Dynamics , 2020 , 234 ( 1 ): 3 ⁃ 18 .