Е-Публикации
Технически университет - София

Abstract: Manufacturing technologies and measuring methods of transmissions have undergone great changes, which are usually combined into the concept of Industry 4.0. At the same time, the accuracy standards of bevel gears have remained unchanged for the past ten years. When assembling bevel gearboxes, ANSI/AGMA and ISO standards recommend visual inspection of the contact pattern in the gearing.An additional operation of searching for a satisfactory contact pattern by trial and error method by the operator is also provided. An attempt has been made to regulate installation errors of spur bevel gears, in addition to existing standards, in order to create prerequisites for excluding humans from the assembly process of bevel gears. Mathematical expectation of the load distribution factor was chosen as a criterion for the assembly quality of bevel gears. The probabilistic nature of installation errors was taken into account using the Monte Carlo method. The value of load distribution factor was found depending on the tolerance range for axial displacements and offset error.

References

1. Xuemei, C., Jiajia, L., Zhanrong, M.: Sensitivity analysis of installation errors of the straight bevel gear modification tooth surface. J. Mech. Transm. 4(9), 40–43 (2014)
2. Cao, X.M., Sun, N., Dend, X.Z.: Design for straight bevel gear based on low installation error sensitivity and experiment tests. J. Aerosp. Power 31(1), 227–232 (2016)
3. Simon, V.: Influence of tooth errors and misalignments on tooth contact in spiral bevel gears. Mech. Mach. Theory 43(10), 1253–1267 (2008)
4. Ivanov, V., Urum, G., Ivanova, S.: Achieving crowning contact of spur bevel gears through deliberately introduced mounting errors. In: Karabegović, I. (ed.) NT 2020. LNNS, vol. 128, pp. 89–97. Springer, Cham (2020). https://doi.org/10.1007/978-3-030-46817-0_10
5. Buzzoni, M., D’Elia, G., Mucchi, E., Dalpiaz, G.: A vibration-based method for contact pattern assessment in straight bevel gears. Mech. Syst. Signal Process. 120, 693–707 (2019)
6. ISO 17485:2006. Bevel gears. ISO system of accuracy
7. Fang, Z.: The statistical analysis of the dynamic performance of a gear system considering random manufacturing errors under different levels of machining precision. Proc. Inst. Mech. Eng. Part K: J. Multi-body Dyn. 234(1), 3–18 (2020)
8. Liu, C., Shi, W.K., Curá, F.M., Mura, A.: A novel method to predict static transmission error for spur gear pair based on accuracy grade. J. Central South Univ. 27(11), 3334–3349 (2020)
9. ANSI/AGMA2009-B01. (2001). Bevel Gear Classification, Tolerances and Measuring Methods
10. Din 3965–1–1986 Tolerancing Of Bevel Gears; Basic Concepts
11. Ivanov, V., Ivanova, S., Urum, G., Purich, D.: An experimental study of the influence of mounting errors on the load distribution along the face width in a spur bevel gear. In: Karabegović, I. (ed.) NT 2021. LNNS, vol. 233, pp. 38–45. Springer, Cham (2021). https://doi.org/10.1007/978-3-030-75275-0_4
12. Huang, W.K., et al.: An iterative model for mesh stiffness of spur gears considering slice coupling underelastohydrodynamic lubrication. J. Central South Univ. 30(10), 3414–3434 (2023)
13. Lafi, W., Djemal, F., Tounsi, D., Akrout, A., Walha, L., Haddar, M.: Non-probabilistic interval process method for analyzing two-stage straight bevel gear system with uncertain time-varying parameters. Proc. Inst. Mech. Eng. C J. Mech. Eng. Sci. 235(17), 3162–3178 (2021)
14. Andersson, C., Ståhl, J. E.: Grinding or shaving-economic decision support in the production of gears. In: Swedish Production Symposium, pp. 1–8 (2014)
15. Litvin, F., Zhang, J., Lee, H., Handschuh, R.: Transmission errors and bearing contact of spur, helical and spiral bevel gears. SAE Trans. 97, 576–586 (1988)

Issue