Abstract
A physicomathematical model of the vibroexcitation in the meshing of imprecise deformable spur-gear teeth is proposed. The gearing is regarded as a parametric nonlinear system, with unilateral elastic connections that separate under certain conditions. The structure of the system varies over time, according to the dynamic state of the system. Analytical expressions for the exciting forces are obtained, along with the equations of motion, the relevant algorithm, information on the corresponding software, and computational and experimental data.
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References
B. M. Abramov,Oscillations of Spur Gears [in Russian], Izd. Khar'kov. Universiteta, Khar'kov (1968).
Azar and Crossley, “Numerical modeling of shock in gears,”ASME, Des. Technol. Mach., No. 3, 258–264 (1976).
É. L. Airapetov, V. I. Aparkhov, M. D. Genkin, et al., “Excitation of oscillations in gears,” in:Dynamic Processes in Geared Mechanisms [in Russian], Nauka, Moscow (1976), pp. 3–18.
É. L. Airapetov, V. I. Aparkhov, N. A. Evsikova, et al., “Model of the contact dynamic interaction of teeth, in cylindrical spur gears,” in:Proceedings of an International Symposium on Progressive Gearing [in Russian], Izhevsk (1994), pp. 3–7.
K. S. Babayan and M. D. Genkin, “Internal dynamics of spur-gear tooth pair,”Mashinoved., No. 5, 11–13 (1983).
D. S. Borisov and K. V. Frolov, “Parametric phenomena in gears,” in:Oscillation and Stability of Instruments, Machines, and Control-System Components [in Russian], Nauka, Moscow (1968), pp. 114–118.
É. B. Bulgakov and V. N. Ammosov, “Influence of overlap on the dynamic load of gears,”Vestn. Mashinostr., No. 1, 12–16 (1990).
N. A. Kovalev, “Gear vibration with stepwise change in rigidity and constant error in the meshing step,”Izv. Akad. Nauk. SSSR, Otd. Tekh. Nauk, Mekhan. Mashinostr., No. 2, 37–42 (1961).
O. I. Kosarev, “Model of vibroexcitation in spur-gear meshing,”Probl. Mashinostr. Nadezhn. Mashin., Mashinoved., No. 1, 22–33 (1996).
L. A. Kurdyavshev, “Angular oscillations and noise of spur gear,” in:Gear Geometry and Dynamics [in Russian], Nauka, Moscow (1964), pp. 56–61.
G. A. Livshits, “Gear dynamics and meshing accuracy,” in:Proceedings of the Central Scientific-Research Institute of Technology and Mechanical Engineering [in Russian], Moscow (1964), No. 49, p. 69.
A. I. Petrusevich, M. D. Genkin, and V. K. Grinkevich,Dynamic Loads in Spur Gears [in Russian], Izd. AN SSSR, Moscow (1956).
G. F. Poloznev, “Forced oscillations of spur gears under the action of friction in meshing,” in: N. S. Achekan (Editor),Metal-Cutting Tools [in Russian], Mashinostroenie, Moscow (1968), pp. 109–117.
M. S. Polotskii, “Dynamic loads in spur gears,” in:Increasing Gear Load Capacity and Weight Reduction [in Russian], Mashgiz, Moscow (1956), pp. 149–171.
C. C. Wang, “Rotary oscillations of gears with a gap. Parts 1 & 2,”ASME, Des. Technol. Mach., No. 2, 113–125 (1978); No. 2, 65–75 (1981).
B. F. Shorr, “Dynamic tooth loads in cylindrical spur gears,” in:Strength and Dynamics of Airplane Motors [in Russian], Issue 5, Mashinostroenie, Moscow (1969), pp. 127–162.
International Standard ISO 6336-1. Calculation of Load Capacity of Spur and Helical Gears. 1: Basic Principles, Introduction and General Influence Factor (1993).
A. Kahramant and R. Sing, “Nonlinear dynamics of spur gear pair,”J. Sound Vibr.,142, No. 1, 49–51 (1990).
G. Neimann and H. Rettig, “Dynamische Zahnkrafte,”VDI, No. 3-4 (1957).
T. Tobe and N. Rakatsu, “Dynamic loads on spur gear teeth caused by teeth impact,”Bull. JSME,16, No. 96, 1031–1037 (1973).
Additional information
A. A. Blagonravov Institute of Mechanical Engineering, Russian Academy of Sciences, Moscow. Translated from Prikladnaya Mekhanika, Vol. 35, No. 11, pp. 3–19, November, 1999.
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Frolov, K.V., Kosarev, O.I. Vibroexcitation in the meshing of imprecise deformable teeth in a spur gear: A review. Int Appl Mech 35, 1081–1095 (1999). https://doi.org/10.1007/BF02682351
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DOI: https://doi.org/10.1007/BF02682351