References
- Akbarian, E., Najafi, B., Jafari, M., Ardabili, S. F., Shamshirband, S., & Chau, K.-W. (2018). Experimental and computational fluid dynamics-based numerical simulation of using natural gas in a dual-fueled diesel engine. Engineering Applications of Computational Fluid Mechanics, 12(1), 517–534. https://doi.org/10.1080/19942060.2018.1472670
- Chen, S.-W., & Matsumoto, S. (2016). Influence of relative position of gears and casing wall shape of gear box on churning loss under splash lubrication condition – some new ideas. Tribology Transactions, 59(6), 993–1004. https://doi.org/10.1080/10402004.2015.1129568
- Concli, F., & Gorla, C. (2017). Numerical modeling of the churning power losses in planetary gearboxes: An innovative partitioning-based meshing methodology for the application of a computational effort reduction strategy to complex gearbox configurations. Lubrication Science, 29(7), 455–474. https://doi.org/10.1002/ls.1380
- de Moura, C. A., & Kubrusly, C. S. (2013). The courant-friedrichs-lewy (CFL) condition: 80 years after its discovery. Birkhauser.
- Deng, X.-Q., Liu, Y.-C., & He, G. (2019b, April). Design and assessment of an antibacklash single roller enveloping hourglass worm gear (SAE Technical Paper 2019-01-1071). Proceedings of SAE 2019 World Congress Experience, Detroit, MI: Society of Automotive Engineers.
- Deng, X.-Q., Wang, S.-S., Hammi, Y., Qian, L.-M., & Liu, Y.-C. (2020b). A combined experimental and computational study of lubrication mechanism of high precision reducer adopting a worm gear drive with complicated space surface contact. Tribology International, 146, 106261. https://doi.org/10.1016/j.triboint.2020.106261
- Deng, X.-Q., Wang, J.-G., & Horstemeyer, M. F. (2012). Parametric study of meshing characteristics with respect to different meshing rollers of the anti-backlash double-roller enveloping worm gear. Journal of Mechanical Design, 134(8), 081004 (1–12). https://doi.org/10.1115/1.4006829.
- Deng, X.-Q., Wang, S.-S., Wang, S.-K., Wang, J., Liu, Y.-C., Dou, Y.-Q., & He, G. (2020a). Lubrication mechanism in gearbox of high-speed railway trains. Journal of Advanced Mechanical Design, Systems, and Manufacturing (Machine Design & Tribology), 14(4). https://doi.org/10.1299/jamdsm.2020jamdsm0054.
- Deng, X.-Q., Wang, J., Wang, S.-K., Wang, S.-S., Liu, Y.-C., & He, G. (2019c). A comparison study of anti-backlash single- and double-roller enveloping hourglass worm gear. Chinese Journal of Mechanical Engineering, 56(3), 88–95. https://doi.org/10.3901/JME.2020.03.088.
- Deng, X.-Q., Wang, J., Wang, S.-K., Wang, S.-S., Liu, Y.-C., & He, G. (2019d, November). Meshing characteristics and engagement of anti-backlash single- and double-roller enveloping hourglass worm gear (IMECE2019-11332). Proceedings of the ASME 2019 International Mechanical Engineering Congress and Exposition, Salt Lake City, UT: American Society of Mechanical Engineers.
- Deng, X.-Q., Wang, J., Wang, S.-K., Wang, S.-S., Liu, Y.-C., & He, G. (2020c). An optimal process of machining complex surfaces of anti-backlash roller enveloping hourglass worms. Journal of Manufacturing Processes, 49, 472–480. https://doi.org/10.1016/j.jmapro.2019.12.016
- Deng, X.-Q., Wang, J., Wang, S.-K., Wang, S.-S., Wang, J.-G., Li, S.-C., Liu, Y.-C., & He, G. (2019a). Investigation on the backlash of roller enveloping hourglass worm gear: Theoretical analysis and experiment. Journal of Mechanical Design, 141(5), 053302 (1–11). https://doi.org/10.1115/1.4042155.
- Duan, G.-T., Chen, B., Koshizuka, S., & Xiang, H. (2017). Stable multiphase moving particle semi-implicit method for incompressible interfacial flow. Computer Methods in Applied Mechanics and Engineering. https://doi.org/10.1016/j.cma.2017.01.002.
- Duan, G.-T., Yamaji, A., & Koshizuka, S. (2019). A novel multiphase MPS algorithm for modeling crust formation by highly viscous fluid for simulating corium spreading. Nuclear Engineering and Design, 343, 218–231. https://doi.org/10.1016/j.nucengdes.2019.01.005
- Ghalandari, M., Bornassi, S., Shamshirband, S., Mosavi, A., & Chau, K.-W. (2019). Investigation of submerged structures’ flexibility on sloshing frequency using a boundary element method and finite element analysis. Engineering Applications of Computational Fluid Mechanics, 13(1), 519–528. https://doi.org/10.1080/19942060.2019.1619197
- Hu, X., Jiang, Y., Luo, C., Feng, L., & Dai, Y. (2019). Churning power losses of a gearbox with spiral bevel geared transmission. Tribology International, 129, 398–406. https://doi.org/10.1016/j.triboint.2018.08.041
- Ji, Z., Stanic, M., Hartono, E. A., & Chernoray, V. (2018). Numerical simulations of oil flow inside a gearbox by smoothed particle hydrodynamics (SPH) method. Tribology International, 127, 47–58. https://doi.org/10.1016/j.triboint.2018.05.034
- Jiang, Y., Hu, X., Hong, S., Li, P., & Wu, M. (2019). Influences of an oil guide device on splash lubrication performance in a spiral bevel gearbox. Tribology International, 136, 155–164. https://doi.org/10.1016/j.triboint.2019.03.048
- Khayyer, A., & Gotoh, H. (2009). Modified moving particle semi-implicit methods for the prediction of 2D wave impact pressure. Coastal Engineering, 56(4), 419–440. https://doi.org/10.1016/j.coastaleng.2008.10.004
- Koshizuka, S., & Oka, Y. (1996). Moving-particle semi-implicit method for fragmentation of incompressible fluid. Nuclear Science and Engineering, 123(3), 421–434. https://doi.org/10.13182/NSE96-A24205
- Koshizuka, S., Tamako, H., & Oka, Y. (1995). A particle method for incompressible viscous flow with fluid fragmentation. Computational Fluid Dynamics Journal, 4, 29–46.
- Laruelle, S., Fossier, C., Changenet, C., Ville, F., & Koechlin, S. (2017). Experimental investigations and analysis on churning losses of splash lubricated spiral bevel gears. Mechanics & Industry, 18(4). https://doi.org/10.1051/meca/2017007
- Leprince, G., Changenet, C., Ville, F., & Velex, P. (2012). Investigations on oil flow rates projected on the casing walls by splashed lubricated gears. Advances in Tribology, 365313, 1–7. https://doi.org/10.1155/2012/365414
- Li, Y., Pi, B., Wang, Y., Liu, L., & Chen, X. (2018). Analysis and validation of churning loss of helical gear based on moving particle semi-implicit method. Journal of Tongji University (Natural Science), 46(3), 368–372. https://doi.org/10.11908/j.issn.0253-374x.2018.03.013.
- Litvin, F. L., & Fuentes, A. (2004). Gear geometry and applied theory. Cambridge University Press.
- Liu, H., Standl, P., Sedlmair, M., Lohner, T., & Stahl, K. (2018). Efficient CFD simulation model for a planetary gearbox. Forschung im Ingenieurwesen, 82(4), 319–330. https://doi.org/10.1007/s10010-018-0280-2
- Motohashi, H., Emura, T., & Sakai, T. (1986). A study on zero-backlash reduction mechanism. Bulletin of JSME, 29(255), 3189–3194. https://doi.org/10.1299/jsme1958.29.3189
- Prometech Software. (2016). ParticleWorks theory manual.
- Renjith, S., Srinivasa, V. K., & Shome, B. (2015). CFD based prediction of spin power loss of automotive differential system. SAE International Journal of Commercial Vehicles, 8(2), 460–466. https://doi.org/10.4271/2015-01-2783
- Sakai, M., Shigeto, Y., Sun, X.-S., Aoki, T., Saito, T., Xiong, J.-B., & Koshizuka, S. (2012). Lagrangian-Lagrangian modeling for a solid-liquid flow in a cylindrical tank. Chemical Engineering Journal, 200–202, 663–672. https://doi.org/10.1016/j.cej.2012.06.080
- Salih, S. Q., Aldlemy, M. S., Rasani, M. R., Ariffin, A. K., Yusoff, T. M., Al-Ansari, N., Yaseen, Z. M., & Chau, K.-W. (2019). Thin and sharp edges bodies-fluid interaction simulation using cut-cell immersed boundary method. Engineering Applications of Computational Fluid Mechanics, 13(1), 860–877. https://doi.org/10.1080/19942060.2019.1652209
- Simon, V. (2008). Influence of tooth errors and misalignments on tooth contact in spiral bevel gears. Mechanism and Machine Theory, 43(10), 1253–1267. https://doi.org/10.1016/j.mechmachtheory.2007.10.012
- Zhong, C.-H., & Yang, X.-J. (2015). Driving torque reduction in linkage mechanisms using joint compliance for robot head. Chinese Journal of Mechanical Engineering, 28(5), 888–895. https://doi.org/10.3901/CJME.2015.0520.073