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Języki publikacji
Abstrakty
This study relates to the research on improving analytical models of gears. A new analytical model of gear shaft with 5 DOF was proposed. Equations of vibration were derived without small-angle approximation and were presented in a form that could be implemented in Simulink. In order to determine the effect of the additional DOF, four popular models having 2 DOF, 4 DOF, 6 DOF and 8 DOF were investigated, too. The proposed model has 12 DOF in total. This number of DOF could be increased; this, however, would result in a greater difference between the considered models, thus making it more difficult to evaluate the impact of the additional DOF of shafts. As a benchmark, the dynamic meshing force in the considered analytical models was calculated. Simulations were carried out with and without friction. Additionally, for the 12 DOF model, the effects of the position of the centre of gear and the centre of mass were investigated.
Wydawca
Rocznik
Tom
Strony
79--91
Opis fizyczny
Bibliogr, 23 poz., fig., tab.
Twórcy
autor
- Lublin University of Technology, ul. Nadbystrzycka 36, 20-618 Lublin, Poland
Bibliografia
- 1. Chen Z., Zhou Z., Zhai W., Wang K. Improved analytical calculation model of spur gear mesh excitations with tooth profile deviations. Mechanism and Machine Theory, 149, 2020, 103838. https:// doi.org/10.1016/j.mechmachtheory.2020.103838.
- 2. Sánchez M.B., Pleguezuelos M., Pedrero I.J. Approximate equations for the meshing stiffness and the load sharing ratio of spur gears including hertzian effects. Mechanism and Machine Theory, 109, 2017, 231–249. http://dx.doi.org/10.1016/j.mech- machtheory.2016.11.014.
- 3. Lei Y., Liu Z., Wang D., Yang X., Liu H., Lin J. A probability distribution model of tooth pits for evaluating time-varying mesh stiffness of pitting gears. Mechanical Systems and Signal Processing, 106, 2018, 355–366. https://doi.org/10.1016/j. ymssp.2018.01.005.
- 4. Luo Y., Baddour N., Liang M. Dynamical modeling and experimental validation for tooth pitting and spalling in spur gears. Mechanical Systems and Signal Processing, 119, 2019, 155–181. https://doi. org/10.1016/j.ymssp.2018.09.027.
- 5. Su-chul Kim, Sang-gon Moon, Jong-hyeon Sohn, Young-jun Park, Chan-ho Choi, Geun-ho Lee. Macro geometry optimization of a helical gear pair for mass, efficiency, and transmission error. Mechanism and Machine Theory, 144, 2020; 103634. https://doi.org/10.1016/j.mechmachtheory.2019.103634.
- 6. Zhu X., Dai Y., Ma F. Development of a quasi-analytical model to predict the windage power losses of a spiral bevel gear. Tribology International, 146, 2020, 106258. https://doi.org/10.1016/j.triboint.2020.106258.
- 7. Wen Q., Du Q., Zhai X. A new analytical model to calculate the maximum tooth root stress and critical section location of spur gear. Mechanism and Machine Theory, 128, 2018, 275–286. https://doi. org/10.1016/j.mechmachtheory.2018.05.012.
- 8. Xie Ch., Hua L., Han Xi., Lan Ji., Wan X., Xiong Xi. Analytical formulas for gear body-induced tooth deflections of spur gears considering structure coupling effect. International Journal of Mechanical Sciences, 148, 2018, 174–190. https://doi. org/10.1016/j.ijmecsci.2018.08.022.
- 9. Park D., Kolivand M., Kahraman A. Prediction of surface wear of hypoid gears using a semi-analytical contact model. Mechanism and Machine Theory, 52, 2012, 180–194. doi:10.1016/j.mechmachtheory.2012.01.019.
- 10. Pedro M.T. Marques, Ramiro C. Martins, Jorge H.O. Seabra. Power loss and load distribution models including frictionaleffects for spur and helical gears. Mechanism and Machine Theory, 96, 2016, 1–25. http://dx.doi.org/10.1016/j.mech- machtheory.2015.09.005.
- 11. Fernandez-del-Rincon, Garcia P., Diez-Ibarbia A., A. de-Juan, Iglesias M., Viadero F. Enhanced model of gear transmission dynamics for condition monitoring applications: Effects of torque, friction and bearing clearance. Mechanical Systems and Signal Processing, 85, 2017, 445–467. http:// dx.doi.org/10.1016/j.ymssp.2016.08.031
- 12. Fernandez del Rincon, Viadero F., Sancibrian R., Garcia Fernandez P., A. de Juan. A dynamic model for the study of gear transmissions. WIT Transactions on Modelling and Simulation, Vol 48, 2009 WIT Press. doi:10.2495/CMEM090471.
- 13. Nevzat Ozguven H., Houser D.R. Mathematical models used in gear dynamics – a review. Journal of Sound and Vibration, 121(3), 1988, 383–411.
- 14. Howard I., Jia S., Wang J. The dynamic modelling of a spur gear in mesh including friction and a crack. Mechanical Systems and Signal Processing, 15(5), 2001, 831–853.
- 15. Mohammed O.D., Rantatalo M., Jan-Olov Aidanpää. Dynamic modelling of a one-stage spur gear system and vibration-based tooth crack detection analysis. Mechanical Systems and Signal Processing, 54–55, 2015, 293–305. http://dx.doi. org/10.1016/j.ymssp.2014.09.001.
- 16. Bartelmus W. Mathematical modelling and computer simulations as an aid to gearbox diagnostics, Mechanical Systems and Signal Processing, 15(5), 2001, 855–871. doi:10.1006/mssp.2001.1411.
- 17. Bartelmus W., Chaari F., Zimroz R., Haddar M. Modelling of gearbox dynamics under time-varying nonstationary load for distributed fault detection and diagnosis. European Journal of Mechanics A/Solids, 29, 2010, 637–646. doi:10.1016/j.euromechsol.2010.03.002.
- 18. Wu J., Yang Y., Wang P., Wang J., Cheng J. A novel method for gear crack fault diagnosis using improved analytical-FE and strain measurement. Measurement, 163, 2020, 107936. https://doi. org/10.1016/j.measurement.2020.107936.
- 19. Neubauer P., Bös J., Melz T. Evaluation of the gear noise reduction potential of geometrically uneven inequidistant gears. Journal of Sound and Vibration, 473, 2020, 115234. https://doi.org/10.1016/j. jsv.2020.115234.
- 20. Ling-Yun Zhu, Jian-Fei Shi, Xiang-Feng Gou. Modeling and dynamics analyzing of a torsional-bending-pendular face-gear drive system considering multi-state engagements. Mechanism and Machine Theory, 149, 2020, 103790. https://doi. org/10.1016/j.mechmachtheory.2020.103790.
- 21. Yang X., Ding K., He G. Phenomenon-model-based AM-FM vibration mechanism of faulty spur gear. Mechanical Systems and Signal Processing, 134, 2019, 106366. https://doi.org/10.1016/j. ymssp.2019.106366.
- 22. Shin D., Palazzolo A. Nonlinear analysis of a geared rotor system supported by fluid film journal bearings. Journal of Sound and Vibration, 475, 2020, 115269. https://doi.org/10.1016/j.jsv.2020.115269.
- 23. Byrtus M. Qualitative analysis of nonlinear gear drive vibration caused by internal kinematic and parametric excitation. Engineering MECHANICS, 15, 2008, 471–480.
Uwagi
Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2021).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-ea93734c-3f16-444b-9d5e-71fffcfb61b6