Vibration analysis of toothed gear with cyclic symmetry modelling

• Autorzy: Noga S. , Bogacz R. , Frischmuth K.
• Konferencja: Jubilee Symposium Vibrations In Physical Systems (25 ; 15-19.05.2012 ; Będlewo koło Poznania ; Polska)
• Języki publikacji: EN

Abstrakty

EN

In the paper the transversal vibration of a toothed gear is studied by means of numerical simulation methods. At first, we focus on preparing a simplified vibration model of a gear, where the teeth are omitted. The accuracy of the approximate model is assessed by the frequency error criterion. Therefore a benchmark solution is calculated by performing the vibration analysis for the full model, which contains all essential elements of the real system. Next, the simplified model of a gear featuring cyclic symmetry is analyzed. All numerical models in this paper are formulated in terms of finite element representations, the computations are carried out in ANSYS. The problems discussed here may be useful for researchers dealing with dynamics of rotating systems.

Słowa kluczowe

EN

toothed gear; transverse vibration; natural frequencies; cyclic symmetry model

PL

przekładnia zębata; drgania poprzeczne; częstotliwość drgań własnych; model z cykliczną symetrią

• Wydawca: Poznan University of Technology. Institute of Applied Mechanics
• Czasopismo: Vibrations in Physical Systems
• Rocznik: 2012
• Tom: Vol. 25
• Strony: 299--304
• Opis fizyczny: Bibliogr. 7 poz., il. kolor.

Twórcy

autor

Noga S.

• Faculty of Mechanical Engineering and Aeronautics, Rzeszów University of Technology, al. Powstańców Warszawy 12, 35-959 Rzeszów, Poland

autor

Bogacz R.

• Faculty of Civil Engineering, Cracow University of Technology and Polish Academy of Science, ul. Pawińskiego 5B, 02-106 Warsaw, Poland

autor

Frischmuth K.

• Institute for Mathematics, University of Rostock, Ulmenstraße 69, D-18055 Rostock, Germany, kurt

Bibliografia

• 1. R. Bogacz, K. Frischmuth, On some corrugation related dynamical problems of wheel/rail interaction, The Archives of Transport, 22 (2010) 27-41.
• 2. R. Bogacz, S. Noga, Free transverse vibration analysis of a toothed gear, Arch. Appl. Mech., (2012) DOI: 10.1007/s00419-012-0608-6.
• 3. R. Drago, F. Brown, The analytical and experimental evaluation of resonant response in high-speed, lightweight, highly loaded gearing, J. Mech. Des. 103 (1981) 346-356.
• 4. C. de Silva, Vibration and Shock Handbook, Taylor & Francis, Boca Raton 2005.
• 5. S. Kaliski, Vibration and Waves in Solids, IPPT PAN, Warsaw, 1966 (in Polish).
• 6. R. Parker, X. Wu, Vibration modes of planetary gears with unequally spaced planets and an elastic ring gear, J. Sound Vib., 329 (2010) 2265-2275.
• 7. ANSYS documentation. 2009. Version 12.1 ANSYS, Ins.