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The Lateral Flexibility of Pneumatic Tire and Its Application to the Lateral Rolling Contact Problem
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English
Abstract
The role of the tire in controlling vehicle motion rests mainly upon its ability to generate desired lateral forces and moments when rolling at a “slip angle.” This paper deals with a method of predicting the lateral characteristics of a rolling tire from the detailed knowledge of its lateral flexibility in the contact region and the law of friction. At first, a method of determining the variation of the lateral flexibility is described, using experimentally obtained distributions of lateral force and deformation with a modified “Gough apparatus.” Considering the tire as a running band of a linear structure of high order, Green's Function of lateral flexibility is obtained. Such a function can adequately bring out finer differences due to variation in the constructional parameters and service variables of actual tires. This approach not only enables one to consider the lateral flexibility of actual tires in design calculations, but also seems to be promising in assessing the “lateral-longitudinal” interactions as well as “normal-tangential” interactions by simple extensions of the methods described herein.
The two-dimensional contact problem of a tire rolling at a slip angle is then considered after reducing it to a one-dimensional problem with total slip using a “free rolling factor” to superimpose the free rolling slip on the lateral slip. The resulting solution is qualitatively similar to the conventional one assuming a region of adhesion and is probably a more realistic approximation of the conditions arising at the contact. The problem of the nonstationary motion of a tire initially at rest with slip angle, set into motion, is numerically solved using the Green's function of lateral flexibility and the nonlinear distance-dependent part of the law of friction of rubber.
The paper intends to show how the Green's function of lateral flexibility may be combined with the law of friction to predict the cornering characteristics affecting vehicle control. Conversely, from the point of view of tire designers, this approach serves as a first step in the synthesis between tire construction service variables and the tread rubber compound so as to realize a desired cornering characteristic on a given road surface with known frictional properties.
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Citation
Savkoor, A., "The Lateral Flexibility of Pneumatic Tire and Its Application to the Lateral Rolling Contact Problem," SAE Technical Paper 700378, 1970, https://doi.org/10.4271/700378.Also In
References
- Fromm H. von Schlippe B. Dietrich R. 140 1941
- Fiala E. “Zeitschrift V.D.I.” 96 29 1954 973
- Schallamach A. “Wear.” 3 1960 1
- Savkoor A. R. Paper B 12 FISITA Congress Munich June 1966
- van der Valk R. Intern. Rubber Conf. Munich June 1968
- Segel L. “Trans. A.S.M.E.” J. of Engrg. for Ind. 88 B 1966 1
- Frank F. 8 1965 515
- Hadekel R. “The Mechanical Characteristics of Pneumatic Tyres.” Tech. Inf. Bur., Chief Scientist, Ministry of Supply Londong 1952
- Pacejka H. B. “The Wheel Shimmy Phenomenon.” T. H. Delft December 1966
- Hildebrand F. B. “Methods of Applied Mathematics.” Englewood Cliffs, N. J. Prentice Hall 1965
- Fox L. Parker T. B. “Chebyshev Polynomials in Numerical Analysis.” London Oxford Univ. Press 1968
- Gough V. E. “Automobile Engineer,” 48 13 1958 524
- van Eldik Thieme H.C.A. 28 81 1964 76
- Savkoor A. R. Veh. Res. Lab. T. H. Delft Rep. P 050 (1965 and 1968)
- Kummer H. W. Meyer W. E. Eng. Res. Bul. Penn. State Univ. December 1960
- Kern W. 6 9 1953 178
- Schallamach A. I.R.I. Trans. 28 2 1952 256
- Gough V. E. “Wear.” 2 1958-1959 2
- Savkoor A. R. “Wear.” 9 1966 39
- Carter F. W. Proc. Roy. Soc. A-112 1926 151
- Johnson K. L. “Trans. A.S.M.E.” J. Appl. Mech. 80 1958 339
- de Pater A. D. “Proc. Symp. Rolling Contact Phenomena.” Bidwell Elsevier Amsterdam 1962
- Kalker J. J. “On the Rolling Contact of Elastic Bodies in the Presence of Dry Friction.” T. H. Delft 1967
- Kalker J. J. Report WTHD 11 of Dept. of Mech. Engrg. T. H. Delft 1969
- Rooney J. H. M. Report P 051, P 090, P 109 Veh. Res. Lab., T. H. Delft 1965-1969
- Savkoor A. R. “Wear.” 9 1966 66
- Savkoor A. R. Veh. Res. Lab. Report P-118 1968
- Hammerstein A. “Acta Math.” 54 1930 117
- Saaty T. L. “Modern Nonlinear Equations.” New York McGraw Hill Book Co. 1967
- Seitz N. 1969