Email this article 
Dynamic modelling of non-linear vibrations in cylindrical tooth gearing of aircraft drive systems
- Authors: Kalinin D.V.1, Temis J.M.1
-
Affiliations:
- Central Institute of Aviation Motors named after P.I. Baranov, Moscow
- Issue: Vol 14, No 3-1 (2015): Special Issue
- Pages: 193-202
- Section: ISSUE WITHOUT SECTION
- URL: https://journals.ssau.ru/vestnik/article/view/2832
- DOI: https://doi.org/10.18287/2412-7329-2015-14-3-193-202
- ID: 2832
Cite item
Full Text
Abstract
The results of modeling nonlinear parametric vibrations in aircraft tooth gears are presented in the paper. Resonance vibration with loss of tooth contact is analyzed. A lumped-parameter dynamic model of cylindrical gears is investigated using the results of gear stiffness modeling obtained from a finite element model for simulating elastic-damping connection for each step during one phase of mesh. Parametric vibrations of a system with base excitation due to variable mesh stiffness and non-linear effects determined by modeling the conditions of loss of tooth contact are studied. It is shown that the maximal level of dynamic loads does not exceed a limit value determined by the presence of discontinuous vibrations in the system. A number of parametric studies are presented to demonstrate the influence of major gear contact ratio on the resultant dynamic behavior. The results obtained by the numerical simulation of steady-state responses of two different pairs of spur gears are in satisfactory agreement with the experimental results.
About the authors
D. V. Kalinin
Central Institute of Aviation Motors named after P.I. Baranov, Moscow
Author for correspondence.
Email: kalinin@ciam.ru
Head of the Department of Aircraft Gear Strength and Service Life
Russian FederationJ. M. Temis
Central Institute of Aviation Motors named after P.I. Baranov, Moscow
Email: tejoum@ciam.ru
Doctor of Science (Engineering)
Professor of the Department of Applied Mathematics
Russian FederationReferences
- Petrusevich A.I.., Genkin M.D., Grin-kevich V.K. Dinamicheskie nagruzki v zubchatykh peredachakh s pryamozubymi kolesami [Dynamic loads in cylindrical spur gears]. Moscow: IMASH, AS USSR Publ, 1956. 134 p.
- Shorr B.F. Calculation of dynamic loads in teeth of spur gears. Strength and dynamic of aviation engines. V cb.: Prochnost' i dinamika aviatsionnykh dvigateley. Iss. 5. Мoscow: Mashinostroenie Publ., 1969. P. 127-162. (In Russ.)
- Kovalev N.A. Oscillations of spur gears with stepped stiffness variation and constant gear pitch error. Izvestiya AN SSSR. Otdelenie tekhnicheskikh nauk. Mekhanika i mashinostroenie. 1961. No. 2. P. 92-101. (In Russ.)
- Vibratsii v tekhnike: spravochnik. V 6-ti tomakh. T. 3. Kolebaniya mashin, konstruktsiy i ikh elementov [Oscillations in machinery: Reference book. V. 3. Vibration in machines, structures and their elements / ed. by F. Dimenterberg, K.S. Kolesnikov]. Moscow: Mashinostroenie Publ., 1980. 544 p.
- Birger I.A., Shorr B.F., Iosilevich G.B. Raschet na prochnost' detaley mashin [Strength calculation for machine parts]. Мoscow: Mashinostroenie Publ., 1979. 702 p.
- Kahraman A., Blankenship G.W. Experiments on nonlinear dynamic behavior of an oscillator with clearance and periodically time-varying parameters. Journal of Applied Mechanics, Transactions ASME. 1997. V. 64, Iss. 1. P. 217-226. doi.org/10.1115/ 1.2787276
- Parker R.G., Vijayakar S.M., Imajo T. Non-linear dynamic response of a spur gear pair: modelling and experimental comparisons. Journal of Sound and Vibration. 2000. V. 273, Iss. 3. P. 435-455. doi.org/10.1006/ jsvi.2000.3067
- Kahraman A., Lim J., Ding H. A Dynamic Model of a Spur Gear Pair with Frictio.12th IFToMM World Congress, Besançon (France), June18-21, 2007.
- Singh R., houser D.E.: Non-Linear Dynamic Analysis of Geared Systems – Technical Report 90-C-020 AVSCOM, NASA, 1991.
- Kalinin D.V., Temis Y.M. Non-linear dynamic of geared system. Materials of The International conference MSM2014, Opole, Poland. 2014.
- Kalinin D.V., Kozharinov E.V., Panov S.A. Experimental search of bifurcation in aviation gears. Abstract collection of International forum «Engine 2014». Moscow: 2014. (In Russ.)
Supplementary files
