The cost effective design of antilock brake systems for automobiles requires the use of computer aided design and analysis techniques, as well as traditional invehicle testing. An important consideration in the simulation of the vehicle and brake dynamics is the generation of the shear forces and aligning torques at the tire/road interface. Frequently, experimental tire data gathered over a limited number of road surfaces is extrapolated to test antilock brake systems on a variety of roads. However, this approach may lead to problems in correlating the simulated system performance with actual vehicle tests. In this study, nonlinear programming strategies are applied to an analytical tire model to facilitate the selection of system variables. The formulation of an optimization problem to determine these variables permits the generation of shear forces which correspond fairly well with the empirical data. Simulation results are presented and discussed for five road surfaces to indicate the overall performance of this technique.

1.
Bakker, E., Nyborg, L., and Pacejka, H. B., “Tire Modeling for Use in Vehicle Dynamic Studies,” SAE paper 870421, 1987.
2.
Dugoff, H., Fancher, P. S., and Segel, L., “An Analysis of Tire Traction Properties and Their Influence on Vehicle Dynamic Performance,” SAE paper 700377, 1970.
3.
Fancher, P. S., Segel, L., MacAdam, C. C., and Pacejka, H. B., “Tire Traction Grading Procedures as Derived from the Maneuvering Characteristics of a Tire-Vehicle System, Final Report,” Highway Safety Research Institute, report HSRI-71–129, 1973.
4.
Hsieh, C. C., and Oh, K. P., “MARS: A Computer-Based Method for Achieving Robust Systems,” XXIV FISITA Congress, London, England, SAE paper 925133, pp. 115–120, 1992.
5.
Kempf, D. J., Bonderson, L. S., and Slafer, L. I., “Real Time Simulation for Application to ABS Development,” SAE paper 870336, 1987.
6.
Muller, P., and Czinczel, A., “Electronic Antiskid System—Performance and Application,” XIV FISITA Congress, London, England, SAE paper 725046, pp. 92–100, 1972.
7.
Reklaitis, G. V., Ravindran, A., and Ragsdell, K. M., Engineering Optimization: Methods and Applications, Wiley, New York, 1983.
8.
Schittkowski, K., Nonlinear Programming Codes, Lecture Notes in Economics & Mathematical Systems, Springer-Verlag, Berlin, vol. 183 & 187, 1982.
9.
Szostak, H. T., Allen, R. W., and Rosenthal, T. J., “Analytical Modeling of Driver Response in Crash Avoidance Maneuvering, Volume II: An Interactive Tire Model for Driver/Vehicle Simulation,” U.S. Department of Transportation, report NHTSA DOT HS-807–271, 1988.
10.
Tielking, J. T., and Mital, N. K., “A Comparative Evaluation of Five Tire Traction Models,” Highway Safety Research Institute, report PF-74–2, 1974.
11.
van Zanten, A., Erhardt, R., and Lutz, A., “Measurement and Simulation of Transients in Longitudinal and Lateral Tire Forces,” SAE paper 900210, 1990.
12.
Wagner
J. R.
, and
Furry
J. S.
, “
A Real Time Simulation Environment for the Verification of Automotive Electronic Controller Software
,”
International Journal of Vehicle Design
, Vol.
13
, No.
4
, pp.
365
377
,
1992
.
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