This content is not included in
your SAE MOBILUS subscription, or you are not logged in.
Analytical Rotordynamic Study of a High-Speed Gear Transmission System for Race Applications
Technical Paper
2020-01-1502
ISSN: 0148-7191, e-ISSN: 2688-3627
This content contains downloadable datasets
Annotation ability available
Sector:
Language:
English
Abstract
In motorsport power transmission systems, high-speed operation can be associated with significant rotordynamic effects. Changes in the natural frequencies of lateral (bending) vibrational modes as a function of spin speed are brought about by gyroscopic action linked to flexible shafts and mounted gear components. In the investigation of high-speed systems, it is important that these effects are included in the analysis in order to accurately predict the critical speeds encountered due to the action of the gear mesh and other sources of excitation.
The rotordynamic behaviour of the system can interact with crucial physical parameters of the transmission, such as the stiffnesses of the gear mesh and rolling element-to-raceway contact in the bearings. In addition, the presence of the gear mesh acts to couple the lateral and torsional vibration modes of a dual-shaft transmission through which a torque flows. The relative interactions and effects of bearing and gear components can be captured in the form of modal analysis with parametric studies of key stiffness elements, such as mean value as a linear representation of stiffness.
In the presented study, an analytical finite element method is followed in order to construct the mass, stiffness and gyroscopic terms of a high-speed transmission system. In this method, the shafts comprise flexible elements with distributed mass, the gears are represented by disks of lumped mass and inertia, and the bearings are elements of multi-directional stiffness and negligible mass. The lateral, torsional and coupled vibrational modes of the system are solved and studied parametrically.
Authors
Citation
Friskney, B., Theodossiades, S., and Mohammadpour, M., "Analytical Rotordynamic Study of a High-Speed Gear Transmission System for Race Applications," SAE Technical Paper 2020-01-1502, 2020, https://doi.org/10.4271/2020-01-1502.Data Sets - Support Documents
| Title | Description | Download |
|---|---|---|
| Unnamed Dataset 1 | ||
| Unnamed Dataset 2 | ||
| Unnamed Dataset 3 |
Also In
References
- Swanson , E. , Powell , C.D. , and Weissman , S. A Practical Review of Rotating Machinery Critical Speeds and Modes Sound Vib. 39 5 10 17 2005
- Rao , J.S. Rotor Dynamics Third Delhi New Age International Ltd. 1996
- Ozguven , H.N. A Non-Linear Mathematical Model for Dynamic Analysis of Spur Gears Including Shaft and Bearing Dynamics J. of Sound Vib. 145 2 239 260 1991
- Kubur , M. , Kahraman , A. , Zini , D.M. , and Kienzle , K. Dynamic Analysis of a Multi-Shaft Helical Gear Transmission by Finite Elements: Model and Experiment J. Vib. Acoust. 126 3 398 2004
- Kahraman , A. , Ozguven , H.N. , Houser , D.R. , and Zakrajsek , J.J. Dynamic Analysis of Geared Rotors by Finite Elements J. Mech. Des. 114 3 507, 2008
- Maatar , M. , and Velex , P. Quasi-Static and Dynamic Analysis of Narrow-Faced Helical Gears with Profile and Lead Modifications J. Mech. Des. 119 4 474 1997
- Özgüven , H.N. , and Özkan , Z.L. Whirl Speeds and Unbalance Response of Multibearing Rotors Using Finite Elements Journal of Vibration Acoustics Stress and Reliability in Design 106 1 72 1984
- Zorzi , E.S. , and Nelson , H.D. Finite Element Simulation of Rotor-Bearing Systems with Internal Damping J. Eng. Power 99 1 71 76 1977
- Rajan , M. , Rajan , S.D. , Nelson , H.D. , and Chen , W.J. Optimal Placement of Critical Speeds in Rotor-Bearing Systems J. Vib. Acoust. Stress Reliab. Des. 109 2 152 157 1987
- Rajan , M. , Nelson , H.D. , and Chen , W.J. Parameter Sensitivity in the Dynamics of Rotor-Bearing Systems J. Vib. Acoust. Stress Reliab. Des. 108 2 197 206 1986
- Nelson , H.D. A Finite Rotating Shaft Element Using Timoshenko Beam Theory J. Mech. Des. 102 4 793 1980
- Nelson , H.D. Rotordynamic Modelling and Analysis Procedures: A Review JSME Int. J. 41 1 1998
- Rao , J.S. , Shiau , T.N. , and Chang , J.R. Theoretical Analysis of Lateral Response due to Torsional Excitation of Geared Rotors Mech. Mach. Theory 33 6 761 783 1998
- Choi , S.-T. , and Mau , S.-Y. Dynamic Analysis of Geared Rotor-Bearing Systems by the Transfer Matrix Method J. Mech. Des. 123 4 562 2002
- Iida , H. , Tamura , A. , Kikuch , K. , and Agata , H. Coupled Torsional-Flexural Vibration of a Shaft in a Geared System of Rotors (1st Report) Bull. JSME 23 186 2111 1980
- Chen , S. , Tang , J. , and Li , Y. Rotordynamics Analysis of a Double-Helical Gear Transmission System Meccanica 51 1 251 268 2016
- Hu , Z. , Tang , J. , and Chen , S. Analysis of Coupled Lateral-Torsional Vibration Response of a Geared Shaft Rotor System with and without Gyroscopic Effect Proc. Inst. Mech. Eng. Part C: J. Mech. Eng. Sci. 232 24 4550 4563 2018
- Meirovitch , L. Analytical Methods in Vibrations New York The Macmillan Company 1967
- Nelson , H.D. , and McVaugh , J.M. The Dynamics of Rotor-Bearing Systems Using Finite Elements J. Eng. Ind. 98 2 593 1976
- Rao , S.S. Mechanical Vibrations Fifth Upper Saddle River, NJ Pearson Education, Inc 2011