This content is not included in
your SAE MOBILUS subscription, or you are not logged in.
Multibody Dynamic Simulation of Steering Gear Systems With Three-Dimensional Surface Contacts
Technical Paper
2006-01-1960
ISSN: 0148-7191, e-ISSN: 2688-3627
Annotation ability available
Sector:
Language:
English
Abstract
In an effort to understand steering systems performance and properties at the microscopic level, we developed Multibody simulations that include multiple three-dimensional gear surfaces that are in a dynamic state of contact and separation. These validated simulations capture the dynamics of high-speed impact of gears traveling small distances of 50 microns in less than 10 milliseconds. We exploited newly developed analytic, numeric, and computer tools to gain insight into steering gear forces, specifically, the mechanism behind the inception of mechanical knock in steering gear. The results provided a three dimensional geometric view of the sequence of events, in terms of gear surfaces in motion, their sudden contact, and subsequent force generation that lead to steering gear mechanical knock.
First we briefly present results that show the sequence of events that lead to knock. A brief discussion of the state of knowledge in Multibody system with three-dimensional surface contacts is used here to illustrate the limitations of such formulation on dynamic modeling of surfaces in three-dimensional high speed motions. Finally we discuss the methodology comprised of hardware, software, and analysis methods that are necessary for overcoming these limitations.
Recommended Content
Authors
Citation
Zeid, A., "Multibody Dynamic Simulation of Steering Gear Systems With Three-Dimensional Surface Contacts," SAE Technical Paper 2006-01-1960, 2006, https://doi.org/10.4271/2006-01-1960.Also In
References
- Chace, M. A. “Methods and Experience in Computer Aided Design of Large-Displacement Mechanical Systems,” Computer Aided Analysis and Optimization of Mechanical Systems Dynamics Haug E. J. NATO ASI Series F: Computer and Systems Sciences 9 Springer-Verlag New York 1984 243 255
- Haug, E. 1984 “Elements and Methods of Computational Dynamics,” Computer Aided Analysis and Optimization of Mechanical System Dynamics Haug, E. J. NATO ASI Series F: Computer and Systems Sciences 9 Springer-Verlag New York 3 38
- Shabana, A. A. “Dynamics of Multibody Systems,” Wiley-Interscience New York 1989
- Pfeiffer F. Glocker C. Multibody Dynamics with Unilateral Constraints John Wiley and Sons New York 1996
- Petzold, L. R. “Numerical Solution of Differential Algebraic Equations in Mechanical Systems Simulation,” Army High Performance Computing Research Center April 1992
- Baumgarte, J. “Stabilization of Constraints and Integrals of Motion,” Computer Methods in Applied Mechanics and Engineering 1 1 16 1972
- Ascher, U. M. Petzold, L. R. “The Numerical Solution of Delay-Differential-Algebraic Equations of Retarded Type Army High Performance Computing Research Center October 1992
- Chace, M. A. “Methods and Experience in Computer Aided Design of Large-Displacement Mechanical Systems,” Computer Aided Analysis and Optimization of Mechanical Systems Dynamics Haug E. J. NATO ASI Series F: Computer and Systems Sciences 9 Springer-Verlag New York 1984 243 255
- Orlandea, N. Chace, M.A. Calahan D.A. “A Sparsity Oriented Approach to the Dynamic Analysis and Design of Mechanical Systems ASME Journal of Engineering for Industry 99 3 773 784 1977
- Wehage, R. A. 1988 “Application of Matrix Partitioning and Recursive Projection to O(n) Solution of Constrained Equation of Motion,” Proceedings of the 20 the Biennial ASME Mechanism Conference Orlando, Florida
- Pfeiffer F. Glocker C. Multibody Dynamics with Unilateral Constraints John Wiley and Sons New York 1996
- Hefeng, B. Savage, M. Knorr, R.J. “Computer Modeling of Rack-Generated Spur Gears,” Mechanism and Machine Theory 20 4 351 360 1985
- Bibel, G. Procedure for Tooth Contact Analysis of a Face Gear Meshing With a Spur Gear Using Finite Element Analysis 2002
- Demkowicz, L. Bajer, A. Conservative discretization of contact/impact problems for nearly rigid bodies Comp. Methods in Applied Mechanics and Eng. 190 1903 1924 2001
- Vinayak, H. Singh, R. Multi-body Dynamics and Modal Analysis of Compliant Gear Bodies Journal of Sound and Vibration 1998 210 2 171 214