Rigid-elastic modeling of meshing gear wheels in multibody systems

Multibody System Dynamics

Volumn 16, Issue 1, 2006, Pages 55-71

  Ebrahimi, Saeed ^a   Eberhard, Peter ^a  

^a UNIVERSITY OF STUTTGART   (Germany)

Author keywords

Elastic gears; Gear contact modeling; Meshing teeth; Multibody geared systems; Multiple contact; Tangentially movable teeth

Indexed keywords

COMPUTER SIMULATION; DYNAMICS; ELASTICITY; EQUATIONS OF MOTION; POWER TRANSMISSION; SHAFTS (MACHINE COMPONENTS); WHEELS;

ELASTIC GEARS; GEAR CONTACT MODELING; MESHING TEETH; MULTIBODY GEARED SYSTEMS; MULTIPLE CONTACT; TANGENTIALLY MOVABLE TEETH;

GEARS;

EID: 33746397212     PISSN: 13845640     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11044-006-9021-7     Document Type: Article

References (22)

1. Amirouche, F.M.L., Shareef, N.H., Xie, M.: Dynamic analysis of flexible gear trains/Transmissions: an automated approach. Mach. Dyn. Elem. Vib., ASME Vib. Conf. 36, 257-262 (1991)
2. Amirouche, F.M.L.: Computational Methods in Multibody Dynamics. Prentice Hall, Englewood Cliffs (1992)
3. Blankenship, G.W., Singh, R.: A comparative study of selector gear mesh, force interface dynamic models. ASME 6th Int. Power Transm. Gear. Conf. 1, 137-146 (1992)
4. Blankenship, G.W., Singh, R.: A new gear mesh interface dynamic model to predict multi-dimensional force coupling and excitation. Mech. Mach. Theory 30, 43-57 (1995)
5. Kahraman, A., Singh, R.: Non-linear dynamics of a spur gear pair. J. Sound Vib. 142, 49-75 (1990)
6. Kahraman, A., Singh, R.: Interaction between time-varying mesh stiffness and clearance non-linearities in a geared system. J. Sound Vib. 146, 135-156 (1991)
7. Kahraman, A., Singh, R.: Non-linear dynamics of a geared rotor-bearing system with multiple clearances. J. Sound Vib. 144, 469-506 (1991)
8. Kuang, J.H., Lin, A.D.: The effect of tooth wear on the vibration spectrum of a spur gear pair. J Vib. Acoust. 23, 311-317 (2001)
9. Litak, G., Friswell, M.I.: Dynamics of a gear system with faults in meshing stiffness. Nonlinear Dyn. 14, 415-421 (2005)
10. Litvin, F.L., Fuentes, A.: Gear Geometry and Applied Theory. Cambridge University Press Cambridge, (2004)
11. Mauer, L.: Force Element 225 Gear Wheel. Internal report, Intec GmbH, Wessling, Germany (2005)
12. Niemann, G., Winter, H.: Maschinenelemente 2 (in German). Springer-Verlag, Berlin (1989)
13. Özgüven, H.N., Houser, D.R.: Mathematical models used in gear dynamics - a review. J. Sound Vib. 121, 383-411 (1988)
14. Peeters, J., Vandepitte, D., Sas, P.: Flexible multibody model of a three-stage planetary gearbox in a wind turbine. ISMA: Int. Conf. Noise Vib. Eng., Leuven, Belgium, 3923-3942 (2004)
15. Sarkar, N., Ellis, R.E., Moore, T.N.: Backlash detection in geared mechanisms: modeling, simulation, and experimentation. Mech. Syst. Signal Process. 11, 391-408 (1997)
16. Simpack User Routine Manual: User Routines-Force and Control Elements. Intec GmbH, Wessling, Germany (2003)
17. SIMPACK, Commercial MBS Code, www.simpack.de.
18. Stein, J.L., Wang, C.H.: Automatic detection of clearance in mechanical systems: experimental validation. J. Mech. Syst. Signal Process. 10, 395-412 (1996)
19. Stein, J.L., Wang, C.H.: Automatic detection of clearance in mechanical systems: theory and simulation. Proceedings of the 1995 American Control Conference on Automatic Control 3, Seattle, Washington, 1737-1745 (1995)
20. Vinayak, H., Singh, R., Padmanabhan, C.: Linear dynamic analysis of multi-mesh transmissions containing external, rigid gears. J. Sound Vib. 185, 1-32 (1995)
21. Warminski, J., Litak, G., Szabelski, K.: Dynamic phenomena in gear boxes. Appl. Nonlinear Dyn. Chaos Mech. Syst. Discontinuities 28, 177-206 (2000)
22. Ziegler, P.: Statische und dynamische Zahnkontaktuntersuchungen (in German), Diplomarbeit DIPL 104, Institute B of Mechanics, University of Stuttgart (2005)