Impact of flexibility of support on gear mesh dynamics
/ 0
- Details
- Category: Geotechnical and Mining Mechanical Engineering, Machine Building
- Last Updated on 01 September 2019
- Published on 19 August 2019
- Hits: 3098
Authors:
B.V.Vynohradov, Dr. Sc. (Tech.), Prof., orcid.org/0000-0002-9600-0739, State Higher Educational Institution “Ukrainian State University of Chemical Technology”, Dnipro, Ukraine, е-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.; This email address is being protected from spambots. You need JavaScript enabled to view it.; This email address is being protected from spambots. You need JavaScript enabled to view it.
D.O.Fedin, Cand. Sc. (Tech.), Assoc. Prof., orcid.org/0000-0001-6037-1178, State Higher Educational Institution “Ukrainian State University of Chemical Technology”, Dnipro, Ukraine, е-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.; This email address is being protected from spambots. You need JavaScript enabled to view it.; This email address is being protected from spambots. You need JavaScript enabled to view it.
V.V.Ved, orcid.org/0000-0002-2391-6463, State Higher Educational Institution “Ukrainian State University of Chemical Technology”, Dnipro, Ukraine, е-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.; This email address is being protected from spambots. You need JavaScript enabled to view it.; This email address is being protected from spambots. You need JavaScript enabled to view it.
Abstract:
Purpose. Development of a mathematical model of gear mesh which takes into account flexibility of a pinion support for studying the influence of lateral vibrations on gear dynamics as a whole.
Methodology. The calculation model is designed using lumped-parameters method. The research on dynamics of the system is performed by methods of the theory of oscillations of two degree of freedom systems. Using the approximate method of theory of oscillations and algebra, vibrational amplitude of the system is defined. The results of numerical integration of dynamic equations are compared to the experimental data.
Findings. State-of-the-art review on gear mesh models taking into account coupling effect of pinion torsional and lateral vibrations is performed. Based on the lumped-parameters method, an analytical model for calculating dynamics of gear mesh with flexible support is developed. The amplitude-frequency response of open gearing of a tumbling mill MSHRGU 4500 × 6000 is studies taking into account flexibility of a pinion shaft and bearing parts. It is shown that torsional vibrations of a pinion and lateral vibrations of a power unit have a coupling effect. The models of highly loade gearing give values of natural frequencies with a significant error. A range of possible force resonance in a power unit of tumbling mill open gearing is defined. Causes of excessive vibroactivity of mechanical systems of drives of certain mills and increasing vibroactivity when in operation are established. It is shown that amplification of vibroactivity of a tumbling mill power unit due to intermittent action of forces with gearing frequency is improbable. Rational techniques of reducing vibroactivity of existing mills due to lubrication and increasing hardness of working face of gear teeth are defined.
Originality. Methods for defining resonance range of gear mesh which consider a coupling effect of pinion torsional vibrations and pinion shaft lateral vibrations are developed.
Practical value. The range of possible force resonance in a power unit of tumbling mill MSHRGU 4500 × 6000 open gearing is defined.
References.
1. Shpachuk, V.P. (2016). Effect of mutually amplifying action two coordinate shock loading in problems of dynamics of knots of machines. Naukovyi Visnyk Natsionalnoho Hirnychoho Universytetu, 6, 89-94.
2. Schwibinger, P., & Nordmann, R. (n.d.). Optimization of a Reduced Torsional Model Using a Parameter Identification Procedure. Application of System Identification in Engineering, 525-542. DOI:10.1007/978-3-7091-2628-8_16.
3. Seshendra Kumar Venkat Karri, & Sree Krishna Sundara Siva Rao Bollapragada (2012). Influence of lateral vibrations on the whirling characteristics of gear-pinion rotor system. Journal of Vibration and Control, 18(11), 1624-1630. DOI: 10.1177/1077546311423064.
4. Xue, S., & Howard, I. (2016). Dynamic modelling of flexibly supported gears using iterative convergence of tooth mesh stiffness. Mech. Syst. Signal Process., 1-25. DOI: 10.1016/j.ymssp.2016.04.030.
5. Kurushin, M., Balyakin, V., & Ossiala, V. (2017). Investigation of the dynamics of gear systems with consideration of a pinion support flexibility. Procedia Engineering, 176, 25-36. DOI: 10.1016/j.proeng.2017.02.269.
6. Fedin, D.O., & Vinogradov, B.V. (2018). Mechanical system dynamics of tumbling mill drives under steady-state operation. Scientific Journal of Silesian University of Technology, 99, 43-52. DOI: 10.20858/sjsutst.2018.99.4.
7. Timoshenko, S. (n.d.). Vibrations in engineering. Retrieved from http://booksshare.net/books/physics/timoshenko-sp/ 1985/files/kolebaniyavinjenernomdele1985.pdf.
8. Beizelman, R., Tsypkin, B.V., & Perel, L.Ya. (n.d.). Antifriction bearings. Retrieved from https://www.twirpx.com/file/963853/
9. Ma, H., Pang, X., Feng, R., Song, R., & Wen, B. (2015). Fault features analysis of cracked gear considering the effects of the extended tooth contact. Engineering Failure Analysis, 48, 105-120. DOI: 10.1016/j.engfailanal.2014.11.018.
10. Temis, Y., Kozharinov, E., & Kalinin, D. (2015). Simulation of Gear Systems with Dynamic Analysis. In Materials of The 14th IFToMM World Congress, Taipei, Taiwan. DOI: 10.6567/IFToMM.14TH.WC.OS6.029.
Archive