This content is not included in
your SAE MOBILUS subscription, or you are not logged in.
Highway Vehicle Stability in Braking Maneuvers
Annotation ability available
Sector:
Event:
Mid-Year Meeting
Language:
English
Abstract
The dynamic equations for an automobile in braking maneuvers are simplified in two steps. First, a nominal rectilinear trajectory is considered, with a constant deceleration rate. Secondly, a small perturbation in sideslip angle is examined, and the small disturbance equations of motion are derived. Solutions are obtained in terms of Bessel functions. The vehicle response is deemed stable when initial perturbations to the nominal trajectory are damped, and the perturbed motion is oscillatory. Algebraic expressions for the stability criteria are derived, illustrating the effects of speed, road frictions, tire slip-ratio, and vehicle design characteristics on vehicle response in braking maneuvers.
Recommended Content
Authors
Topic
Citation
Yim, B., Olsson, G., Fielding, P., and Balmer, G., "Highway Vehicle Stability in Braking Maneuvers," SAE Technical Paper 700515, 1970, https://doi.org/10.4271/700515.Also In
References
- Madison R. H. Riordan H. E. “Evolution of Sure-Track Brake System.” Paper 690213 presented at SAE Automotive Engineering Congress Detroit January 1969
- Latvala B. E. Morse R. J. “Adaptive Anti-Lock Braking A Reality for Air Braked Vehicles.” Paper 700112 presented at SAE Automotive Engineering Congress Detroit January 1970
- Denholm M. J. Lueck F. E. Bush J. W. “Make the Truck Stop, Too.” Paper 700114 presented at SAE Automotive Engineering Congress Detroit January 1970
- Wilkens H. A. “An Assessment of the Dunlop Maxaret Anti-Locking Braking System Fitted to an Articulated Vehicle.” Report No. LR 161 Road Research Laboratory, Ministry of Transport Crowthorne, Berkshire, England 1968
- Furia A. Schachter S. Gancel P. “Trends in Braking Techniques of the European Vehicles.” SAE Paper 670505 presented at SAE Mid-Year Meeting Chicago May 1967
- Lieber H. Limpert W. D. “The Electronic Anti-Skid Device.” 71 6 June 1969 181 189 Translation: STS, Inc. Ann Arbor, Mich.
- Olsson G. R. Fielding P. G. “Applicability of Braking Control Systems for Highway Vehicles.” Final Report, Contract No. FH-11-6859 Bureau of Public Roads December 1970
- Segel L. Mortimer R. G. “Driver Braking Performance as a Function of Pedal-Force and Pedal Displacement Levels.” Paper 700364 presented at SAE Mid-Year Meeting Detroit May 1970
- Segel L. “Theoretical Prediction and Experimental Substantiation of the Response of the Automobile to Steering Control.” Research in Automobile Stability and Control and in Tyre Performance The Institution of Mechanical Engineers, Automobile Division August 1956
- Whitcomb D. W. Milliken W. F. “Design Implications of a General Theory of Automotive Stability and Control.” Research in Automobile Stability and Control and in Tyre Performance The Institution of Mechanical Engineers, Automobile Division August 1956
- Hales F. D. “The Lateral Stability of a Simplified Articulated Vehicle.” Control of Vehicles During Braking and Cornering The Institution of Mechanical Engineers London 1963
- Jindra F. “Handling Characteristics of Tractor-Trailer Combinations.” SAE Transactions 74 1965 650720
- Schmid I. “Engineering Approach to Truck and Tractor Train Stability.” SAE Transactions 76 1967 670006
- Chandler K. N. “Theoretical Studies in Braking,” Proceedings of the Institution of Mechanical Engineers, Automotive Division 4 1960-1961
- Ellis J. R. “The Dynamics of Vehicles During Braking.” Symposium on the Control of Vehicles During Braking and Cornering Institution of Mechanical Engineers June 1963
- Dugoff H. Fancher P. S. Segel L. “Tire Performance Characteristics Affecting Vehicle Response to Steering and Braking Control Inputs.” Highway Safety Research Institute The University of Michigan August 1969
- Dugoff H. Fancher P. S. Segel L. “An Analysis of Tire Traction Properties and Their Influence on Vehicle Dynamic Performance.” Paper 700377 presented at SAE Mid-Year Meeting Detroit May 1970
- Cesari L. “Asymptotic Behavior and Stability Problems in Ordinary Differential Equations.” New York Academic Press 1963 Second
- Sedov L. “Similarity and Dimensional Methods in Mechanics.” New York Academic Press 1959
- Cole J. D. “Perturbation Methods in Applied Mathematics.” Waltham, Mass. Blaisdell Publishing Co. 1968
- Watson G. N. “Theory of Bessel Functions.” Cambridge University Press 1962 Second
- Bundorf R. T. “The Influence of Vehicle Design Parameters on Characteristic Speed and Understeer.” SAE Transactions 76 1967