Tooth Friction in Models of Gears

• Autorzy: Dyk J.
• Języki publikacji: EN

Abstrakty

EN

The aim of this report is research on dynamics in gears on the basis of models with regard to tooth friction, considered as Coulomb’s dry friction, as well as an evaluation of its influence on dynamic behaviour of gears. The models of isolated and non-isolated gear transmissions are under our consideration. The non-isolated one includes additionally the input and output parameters of shafts. The mesh description includes tooth stiffness varying on the line of action and the function of the mesh parameters that depends on the mesh phase, clearances, pitch and profile deviations as well as the mesh displacements. Generally, the form of this function is consistent with the modified Müller’s model (see Müller, 1996). Assuming frictional resistance in the mesh, on the basis of the carried out researches some detailed conclusions considering the applied levels of the equivalent damping and damping distribution of dissipative forces in the gear models are formulated. The influence of friction on the maximal values of dynamic forces appears in the low range of rotational speeds and also in the resonant zones. Introduction of the friction forces into the models gives us more accurate mesh description, and thus additional explanation for the sources of dynamic loads in gears.

• Wydawca: Oficyna Wydawnicza Politechniki Warszawskiej
• Czasopismo: Machine Dynamics Problems
• Rocznik: 2005
• Tom: Vol. 29, No. 1
• Strony: 5--19
• Opis fizyczny: Bibliogr. 12 poz., wykr.

Twórcy

autor

Dyk J.

• Institute of Machine Design Fundamentals, Warsaw University of Technology,

Bibliografia

• 1. Dąbrowski, Z., Radkowski S., Wilk, A. (editors), 2000, Dynamics of Gears. Investigations and S imulation in the Design Directed to Exploitation (original title in Polish: Dynamika przekładni zębatych. Badania z symulacja w projektowaniu eksploatacyjnie zorientowanym), Warszawa-Katowice-Radom.
• 2. Dyk, J., 1997, Dynamic Loads in a Gear with Regard to Tooth Friction (original title in Polish: Obciążenia dynamiczne przekładni zębatej z uwzględnieniem tarcia międzyzębnego), II Polish Scientific and Technical Seminar on the Special Gears-Modelling, Design Progress and Perspectives of Applications, Warsaw.
• 3. Dyk, J., Osiński, J., 1992, Vibration Damping in Discrete Models of Spur Gears, Machine Dynamics Problems, 3, 49-64.
• 4. Dziama, A., Michniewicz, M., Niedźwiedzki, A., 1995, Toothed gears (original title in Polish: Przekładnie zębate), PWN, Warsaw.
• 5. Kahraman, A., Singh, R., 1991, Interactions between Time-Varying Mesh Stiffness and Clearance Non-linearities in a Geared System, Journal of Sound and Vibration 146(1), 135-156.
• 6. Lin, H-H., Huston R.L., Coy, J.J., 1988, On Dynamic Loads in Parallel Shaft Transmissions: Part I- Modelling and Analysis, Journal of Mechanisms, Transmissions, and Automation in Design, 110, 221-225.
• 7. Lin, H-H., Huston, R.L., Coy, J.J., 1988, On Dynamic Loads in Parallel Shaft Transmissions: Part II- Parameter Study, Journal of Mechanisms, Transmissions, and Automation in Design, 110, 226-229.
• 8. Łazarz, B., 2001, An Identified Dynamic Model of the Gear as the Basis of Design (original title in Polish: Zidentyfikowany model dynamiczny przekładni zębatej jako podstawa projektowania), Katowice-Radom.
• 9. Müller, L., 1986, Dynamics of Gears (original title in Polish; Przekładnie zębate. Dynamika), WNT, Warsaw.
• 10. Müller, L., 1996, Design of Gears (original title in Polish: Przekładnie zębate. Projektowanie), WNT, Warsaw.
• 11. Yang, D.C.H., Lin, J.Y., 1987, Hertzian Damping, Tooth Friction and Bending Elasticity in Gear Impact Dynamics, Journal of Mechanisms, Transmissions, and Automation in Design, 109, 189-196.
• 12. ISO/DIS-6336/4 Calculation of load capacity of spur and helical gears, Part 4: Calculation of scuffing load capacity.