Modal analysis of back-to-back planetary gear: experiments and correlation against lumped-parameter model

• Autorzy: Hammami A. , Rincon A. F. del , Rueda F. V. , Chaari F. , Haddar M.

Identyfikatory

DOI

10.15632/jtam-pl.53.1.125

• Języki publikacji: EN

Abstrakty

EN

In order to characterize the dynamic behaviour of a back-to-back planetary gear, experimental and numerical modal analysis techniques are achieved. Rotational and translational modal deflections are highlighted. Natural frequencies are compared to the results from the lumped-parameter model. The modes are presented in the numerical studies in low-frequency and high-frequency bands. Distributions of modal kinetic and strain energies are studied.

Słowa kluczowe

EN

back-to-back planetary gears; modal analysis; lumped-parameter; impact test

• Wydawca: Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
• Czasopismo: Journal of Theoretical and Applied Mechanics
• Rocznik: 2015
• Tom: Vol. 53 nr 1
• Strony: 125--138
• Opis fizyczny: Bibliogr. 25 poz., rys., tab.

Twórcy

autor

Hammami A.

• Laboratory of Mechanics, Modeling and Production – National School of Engineers Sfax, Sfax, Tunisia and Department of Structural and Mechanical Engineering, University of Cantabria, Santander, Spain

autor

Rincon A. F. del

• Department of Structural and Mechanical Engineering, University of Cantabria, Santander, Spain

autor

Rueda F. V.

• Department of Structural and Mechanical Engineering, University of Cantabria, Santander, Spain

autor

Chaari F.

• Laboratory of Mechanics, Modeling and Production – National School of Engineers Sfax, Sfax, Tunisia

autor

Haddar M.

• Laboratory of Mechanics, Modeling and Production – National School of Engineers Sfax, Sfax, Tunisia

Bibliografia

• 1. August R., Kasuba R., 1986, Torsional vibrations and dynamic loads in a basic planetary gear system, Journal of Vibration, Acoustics, Stress and Reliability in Design, 108, 348-353
• 2. Bartelmus W., 2001, Gearbox dynamic modelling, Journal of Theoretical and Applied Mechanics, 39, 4, 989-999
• 3. Botman M., 1976, Epicyclic gear vibrations, Journal of Engineering for Industry, 98, 811-815
• 4. Bu Z., Liu G., Wu L., 2012, Modal analyses of herringbone planetary gear train with journal bearings, Mechanism and Machine Theory, 54, 99-115
• 5. Cooley C.G., Parker R.G., 2012, Vibration properties of high-speed planetary gears with gyroscopic effects, Journal of Vibration and Acoustics, 134, 061014
• 6. Cooley C.G., Parker R.G., 2013, Mechanical stability of high-speed planetary gears, International Journal of Mechanical Sciences, 69, 59-71
• 7. Cunliffe F., Smith J.D., Welbourn D.B., 1974, Dynamic tooth loads in epicyclic gears, Journal of Engineering for Industry, 95, 578-584
• 8. Ericson T.M., Parker R.G., 2013, Planetary gear modal vibration experiments and correlation against lumped-parameter and finite element models, Journal of Sound and Vibration, 332, 2350-2375
• 9. Eritenel T., Parker R.G., 2009, Modal properties of three-dimensional helical planetary gears, Journal of Sound and Vibration, 325, 397-420
• 10. Guo Y., Parker R.G., 2010, Purely rotational model and vibration modes of compound planetary gears, Mechanism and Machine Theory, 45, 365-377
• 11. Kahraman A., 1993, Planetary gear train dynamics, Journal of Mechanical Design, 116, 713-720 12. Kahraman A., 1994, Natural modes of planetary gear trains, Journal of Sound and Vibration, 173, 125-130
• 13. Kahraman A., Vijayakar S.M., 2001, Effect of internal gear flexibility on the quasi-static behavior of a planetary gear set, Journal of Mechanical Design, 123, 408-415
• 14. Kiracofe D.R., Parker R.G., 2007, Structured vibration modes of general compound planetary gear systems, Journal of Vibration and Acoustics, 129, 1-16
• 15. Lin J., Parker R.G., 1999, Analytical characterization of the unique properties of planetary gear free vibration, Journal of Vibration and Acoustics, 121, 316-321
• 16. Lin J., Parker R.G., 2000, Structured vibration characteristics of planetary gears with unequally spaced planets, Journal of Sound and Vibration, 233, 921-928
• 17. Łuczko J., 2008, Chaotic vibrations in gear mesh systems, Journal of Theoretical and Applied Mechanics, 46, 4, 879-896
• 18. Parker R.G, Wu X., 2010, Vibration modes of planetary gears with unequally spaced planets and an elastic ring gear, Journal of Sound and Vibration, 329, 2265-2275
• 19. Singh A., Kahraman A., Ligata H., 2008, Internal gear strains and load sharing in planetary transmissions: model and experiments, Journal of Mechanical Design, 130, 072602
• 20. Sondkar P., Kahraman A., 2013, A dynamic model of a double-helical planetary gear set, Mechanism and Machine Theory, 70, 157-174
• 21. Tanna R.P., Lim T.C., 2004, Modal frequency deviations in stimating ring gear modes using smooth ring solutions, Journal of Sound and Vibration, 269, 1099-1110
• 22. Toda A., Botman M., 1979, Planet indexing in planetary gears for minimum vibration, ASME Design Engineering Technical Conference, A80-15730, ASME, St. Louis
• 23. Velex P., Randrianarivo L., Pichon V., Wittman R., 1994, Dynamic behavior of epicyclic trains: experimental and numerical analyses, Proceedings of the International Gearing Conference, Newcastle, 265-269
• 24. Wojnarowski J., Kopeć J., Zawiślak S., Gears and graphs, Journal of Theoretical and Applied Mechanics, 44, 1, 139-162
• 25. Wu X., Parker R.G., 2008, Modal properties of planetary gears with an elastic continuum ring gear, Journal of Applied Mechanics, 75, 1-10