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Frequency Response of Tires-Slip Angle and Lateral Force
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English
Abstract
With theoretical studies as well as with practical tests on the subject of driving dynamics, frequency response of tires has to be taken into consideration, as it has been proved that steady state and transient tire properties are quite different from each other. Thus, for example, with sinusoidal slip angle input the ascertainment of a clear dependence of the lateral force on the slip angle is no longer possible.
The rates of acceleration of slip angle and longitudinal slip, provoking transient behaviour, are so small that steady state measurements can be taken in exceptional cases only.
On the Porsche tire testing rig, rolling wheels were electrohydraulically swivelled around their vertical axis. Frequency responses, ascertained by means of this sinusoidal slip angle input α = αosin ωt, will be explained in detail in the present paper.
Transient lateral tire properties are shown in a wide range of frequency and speed. Different methods of plotting the results are explained.
The relevant tendencies could easily be illustrated on logarithmically divided frequency and speed ordinates. Essential results: The lateral force amplitudes decrease and the phase angles increase as a function of the increase of frequency or the decrease of speed. With high speeds, the dynamic lateral force amplitudes So are bigger than the corresponding steady state values Sst.
When relating both values to each other, the amplitude response So/Sst becomes sufficiently independent from the slip angle amplitude αo. Within the measuring range, the phase angle may also be considered as independent from αo.
Examinations of the influence of path frequency revealed that it may well serve to unify the formation of the phase angle but that it does not affect the amplitude response. Some efforts are made in order to check the influence of parameters as frequency, speed, slip angle amplitude path frequency, weight of tire protector, profile height, tire pressure, wheel load, and tire construction
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Citation
Weber, R. and Persch, H., "Frequency Response of Tires-Slip Angle and Lateral Force," SAE Technical Paper 760030, 1976, https://doi.org/10.4271/760030.Also In
References
- Apetaur H. “Transient Tyre Response.” Automobil Engineer 1969 1
- Bauernstein B. 1958
- Beauregard C. McNall R.G. “Tire Cornering/Traction Test Methods.” SAE Paper No. 730147 1973
- Bergman W. Beauregard C. “Transient Tire Properties.” SAE Paper No. 740068 1974
- Böhm F. 1966
- Böhm F. ATZ 72 1970 6
- Braess H.-H. 1971
- Braess H.-H.
- Bröder K. Paul U. ATZ 75 1973 2
- Chenchanna P.
- Chiesa A. Rinonapoli L. “Vehicle Stability Studied with a Non-linear Seven Degree Model.” SAE Paper No. 670476 1967
- van Eldik Thieme H.C.A. Pacejka H.B. “The Tire as a Vehicle Component.” “Mechanics of Pneumatic Tires” Clark S.K. N.B.S. Monograph 122 Washington, D. C 1971
- Fiala E. Oktober 1954
- Fritz G. Fritz W.
- Fromm H.
- Gerresheim M.
- Gough V.E. Allbert B.J. “Tires and the Design of Vehicles and Roads for Safety.” Proc. Instn. Mech. Engrs. 1968 1969 183
- Kohno T. Tsuchiya S. Konoda N. “On the Vehicle Dynamic Response to the Steering Control.” SAE Paper No. 690488 1969
- Krempel G. 1965
- de Lavaud S. 1927
- Mitschke M. Heidelberg, New York 1972
- Pacejka H.B. “The Wheel Shimmy Phenomenon.” 1966
- Pacejka H.B. “Analysis of the Dynamic Response of a Rolling String-Type Tire Model to Lateral Wheel-Plane Vibrations.” Vehicle System Dynamics 1 1972
- Pacejka H.B. “Approximate Dynamic Shimmy Response of Pneumatic Tires.” Vehicle System Dynamics 2 1973
- Persch H.-G. 1974
- Porsche AG.
- von Schlippe B. Dietrich R. 1941
- von Schlippe B. Dietrich R. Berlin Adlershof 1942
- Schubert K. 1972
- Segel L. “Force and Moment Response of Pneumatic Tires to Lateral Motion Inputs.” Journal of Engineering for Industry February 1966 37
- Strackerjan B. 1973
- Tambrun J. 1974 Paris
- Waldmann D. 1974 Paris
- Weber R. 1970
- Weber R. September 1974
- Weber R. “Measurement of Transient Slip Angles of Tires - a Contribution for Evaluating Safety - Relevant Driving Conditions.” ESV-Conference London 1974
- Weber R. Persch H.-G. ATZ 77 1975 2
- Calspan pamphlet TIRF