Abstract
Dynamic processes in spur gears with a split stage consisting of two identical parallel gear pairs are studied. Multistream transmission in addition to a distribution of transmitted energy in several paths provides a great scope for control over these streams and, consequently, the use of a multistream transmission offers an alternative to other familiar methods to reduce the level of vibrations. The dynamic lumped-parameter gear model incorporates the effects of a time-varying mesh stiffness due to the variation in the number of teeth pairs being simultaneously in meshing. The model is formulated to analyze the spur gear parametric vibration under a regime of steady-state motion. Numerical studies were employed to examine the effects of the phase shift between parallel gear pairs on the vibration in the system. The comparisons between the results from multistream in-phase and out-of-phase transmissions revealed differences in the gear responses, especially in the zone close to the zone of parametric resonance. It can be used for detuning from parametric resonance.
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References
Sidorov PG, Pashin AA, Plyasov AV (2011) Multithreaded gear transmissions: theory and design methodology. Mashinostroenie, Moskva (in Russian)
Kryukov VA, Saveljeva LV (2016) Reduction of dynamic loads in multiple-stream mechanisms. In: Yacun SF (ed) Vibration-2016: XII international scientific and technical conference on vibration technologies, mechatronics and control machines. Kursk, Russia (in Russian)
Skojbeda AT, Supin VV, Melnikov VZ (2011) Improving the load capacity of tractors Belarus gears through the use of multi-threaded gearing. Proc Belarus Nat Acad Sci Agrarian Ser 4:107–111 (in Russian)
Melnikov VZ (2013) Quality assurance of gears on the basis of implementation of multi-pair gearing. Mech Eng Eng Educ 1(34):2–8 (in Russian)
Volkov AE, Medvedev VI (2014) Analysis of multi-pair contact in the gear drive. In: Goldfarb VI (ed) Theory and practice of gearing. International symposium theory and practice of gearing-2014, Izhevsk, Russia, Jan 2014 (in Russian)
Timofeev GA, Musatov AK, Popov SA et al (2016) Theory of mechanisms and machines. Bauman MSTU, Moscow (in Russian)
Kudryavcev VN at al (1977) Planetary gearings: handbook. Mashinostroenie, Leningrad (in Russian)
Kryukov VA (2008) Dynamic processes in the complex interconnected machine drives. In: Yacun SF (ed) Vibrating machines and technologies. VIII scientific and technical conference vibration-2008, Kursk, Russia, May 2008 (in Russian)
Kornyuhin IF, Kryukov VA, Pashin AA (1986) The level of vibrations decrease of mechanical systems with similar perturbations. Proc High Educ Inst Mach Build 6:30–34 (in Russian)
Vulgakov EB (1995) Theory of involute gears. Mashinostroenie, Moscow (in Russian)
Amabili M, Rivola A (1997) Dynamic analysis of spur gear pairs: steady-state response and stability of the SDOF model with time-varying meshing damping. Mech Syst Signal Process 11(3):375–390
Vinayak H, Singh R, Padmanabhan C (1995) Linear dynamic analysis of multi-mesh transmissions containing external, rigid gears. J Sound Vib 185(1):1–32
Munro RG, Palmer D, Morrish L (2001) An experimental method to measure gear tooth stiffness throughout and beyond the path of contact. Proc Inst Mech Eng Part C J Mech Eng Sci 215(7):793–803
Chen ZG, Shao YM, Lim TC (2012) Non-linear dynamic simulation of gear response under the idling condition. Int J Automot Technol 13(4):541–552
Umezava K (2000) Low vibration design on a helical gear pair. Gear Technol 1:18–25
Wojnarowsk J, Onishchenko V (2003) Tooth wear effects on spur gear dynamics. Mech Mach Theor 38:161–178
Faggioni M, Farhad SS, Bertacchi G et al (2011) Dynamic optimization of spur gears. Mech Mach Theor 46:544–557
Giagopoulos D, Papadimitriou C, Natsiavas C (2014) Nonlinear gear transmission system numerical dynamic analysis and experimental validation. In: Kerschen G (ed.) Proceedings of the 32nd IMAC, A conference and exposition on structural dynamics, Brescia, Italy, July 2012. Conference proceedings of the society for experimental mechanics series, nonlinear dynamics, vol 2, pp 159–168. https://doi.org/10.1007/978-3-319-04522-1_15
Curà F, Rosso C (2013) Modelling of gear meshing: a numerical approach for dynamic behavior estimation of thin gears. In: Kerschen et al (eds) Proceedings of the 31st IMAC, a conference on structural dynamics, Garden Grove, California, Feb 2013. Conference proceedings of the society for experimental mechanics series 35, topics in nonlinear dynamics, vol 1, pp 319–334. https://doi.org/10.1007/978-1-4614-6570-629
Makarov GN, Malinkovich MD, Shnyrikov IO et al (2013) Dynamics of cylindrical gears. Bull BSTU 4(40):48–52 (in Russian)
Malinkovich MD (2008) Study of the process of cylindrical gears engagement. Bull BSTU 3(19):32–37 (in Russian)
Kryukov VA, Ktitorov DA, Sidorov PG (2012) Nonlinear electromechanical systems dynamic processes features In: Proceedings of the 5th international conference problems of mechanics of modern machines. VSGUTU, Ulan-Ude, Russia, pp 223–226 (in Russian)
Timofeev GA, Kuzenkov VV (2012) Investigation of linearized model dynamics of electromechanical actuator with external strain wave gear. Proc High Educ Inst Mach Build 7:27–31 (in Russian)
Kuzenkov VV, Timofeev GA (2012) The dynamics of the servo drive with wave gear. Proc High Educ Inst Mach Build 3:30–34 (in Russian)
Timofeev GA, Lyuminarskij IE, Lyuminarskaya ES (2017) Dynamic analysis and synthesis of mechanisms with consideration of mechanical characteristics of asynchronous electric motor. Eng J Sci Innov 5(65). https://doi.org/10.18698/2308-6033-2017-5-1613 (in Russian)
Ajrapetov EL, Genkin MD (1980) Planetary mechanisms dynamics. Nauka, Moscow (in Russian)
Kryukov VA (1998) Dynamics features of the automatic rotary lines drives with worm gearboxes. Bull TSU Mach Build 3–2:65–73 (in Russian)
Kryukov VA, Ktitorov DA (2013) Improved mathematical model of worm kinematic pair. Bull TSU Tech Sci 10:297–305 (in Russian)
Kozhevnikov SN (1961) Dynamics of machines with elastic links. AS USSR, Kiev (in Russian)
Ajrapetov EL, Genkin MD, Ryasnov YU (1983) Statics of gears. Nauka, Moscow (in Russian)
Ajrapetov EL, Genkin MD (1980) Vibrations of gear drives. In: Chelomej VN (ed) Vibrations in the technique: handbook, vol 3. Mashinostroenie, Moscow, pp 90–117 (in Russian)
Kryukov VA, Saveljeva LV (2015) The choice of law of variation mesh stiffness in gear trains dynamic simulation. Bul TSU Tech Sci 11–1:65–70 (in Russian)
ISO 6336-1:2006(E). Calculation of load capacity of spur and helical gears—part 1: basic principals, introduction and general influence factors
Hiroaki У, Nader S (2012) Gearbox simulation models with gear and bearing faults. In: Gökçek M (ed) Mechanical engineering. InTech, Rijeka, pp 17–54
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Kryukov, V.A., Plyasov, A.V. (2019). Reducing the Level of Vibration in Two-Stream Spur Gear. In: Radionov, A., Kravchenko, O., Guzeev, V., Rozhdestvenskiy, Y. (eds) Proceedings of the 4th International Conference on Industrial Engineering. ICIE 2018. Lecture Notes in Mechanical Engineering. Springer, Cham. https://doi.org/10.1007/978-3-319-95630-5_52
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DOI: https://doi.org/10.1007/978-3-319-95630-5_52
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