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2019 | OriginalPaper | Chapter

5. Theory of Tire Shape

Author : Yukio Nakajima

Published in: Advanced Tire Mechanics

Publisher: Springer Singapore

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Abstract

The theory of tire shape has been well studied since the early 1900s because it has been easier to develop theory for the sidewall shape of a tire than to develop theory for other tire design elements, such as the crown shape, bead structure, belt structure, pattern and material. Three important theories have been established in the history of the development of theory of the sidewall shape: natural equilibrium theory for a bias tire, natural equilibrium theory for a radial tire and ultimate tire shape theory where the finite element method is combined with optimization technology. These theories and applications are discussed in this chapter.

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previous chapter Discrete Lamination Theory

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Note 5.1.

Note 5.2.

Problem 5.1.

Problem 5.2.

See Footnote 4.

Note 5.3.

Problem 5.3.

See Footnote 7.

Note 5.4.

Problem 5.4.

See Footnote 10.

Problem 5.6.

Problem 5.7

Note 5.5.

Appendix.

Problem 5.8.

See Footnote 16.

H.F. Schippel, Fabric stresses in pneumatic tires. Ind. Eng. Chem. 15(11), 1121–1131 (1923)CrossRef

R.B. Day, J.R. Purdy, Goodyear research report (1928)

J.F. Purdy, Mathematics Underlying the Design of Pneumatic Tires (Hiney Printing Co., 1963)

W. Hofferberth, Zur Statik des Luftreifens. Kaustschuk Gummi Jahrg 8(5), 124–130 (1955)

R.S. Rivlin, Plane strain of a net formed by inextensible cords. J. Rotational Mech. Anal. 4, 951–974 (1955)MathSciNetMATH

W.H. Walston, W.F. Ames, Design and analysis of inflated membranes reinforced with extensible cords. Tex. Res. J. 35(12), 1078–1098 (1965)CrossRef

V.L. Biderman, Trudy Nauch. Issledovatel, Inst. Shinnio Promy, vol. 3 (Gpskhimimsdat, Moscow, 1957), pp. 57–64

H.G. Lauterbach, W.F. Ames, Cord stresses in inflated tires. Tex. Res. 29, 890–900 (1959)CrossRef

R.B. Day, S.D. Gehman, Theory for meridian section of inflate cord tires. Rubber Chem. Tech. 36(1), 11–27 (1963)CrossRef

10.

E. Robecchi, L. Amici, Mechanics of pneumatic tire, part I, the tire under inflation alone. Tire Sci. Technol. 1(3), 290–345 (1973)CrossRef

11.

E. Robecchi, Mechanics of pneumatic tire, part II, the laminar model under inflation and in rotation. Tire Sci. Technol. 1(4), 382–438 (1973)CrossRef

12.

S.K. Clark et al., Tire shape calculations by the energy method. Kaustschuk Gummi Jahrg 25(12), 587–596 (1972)

13.

H.K. Brewer, Tire stress and deformation from composite theory. Tire Sci. Technol. 1(4), 46–76 (1973)

14.

D. Bozdog, W.W. Olson, An advanced shell theory based tire model. Tire Sci. Technol. 33(4), 227–238 (2005)CrossRef

15.

F. Böhm, Zur Statik und Dynamik des Gurtreifens, Automobeltechnische Zeitschrift. Jahrg 69, 255–261 (1967)

16.

F. Frank, Therie und Berechung des statischen Krafte und des Querschnittsform von Kreuglagen und Gurtelreifen, in Rubber Conference of the DKG (Berlin, 1968)

17.

T. Akasaka, Y. Sakai, On the standing waves in radial tire. Fukugo Zairyo 1(1), 26–34 (1972)

18.

F. Koutny, A method for computing the radial deformation characteristics of belted tires. Tire Sci. Technol. 4(3), 190–212 (1976)CrossRef

19.

F. Koutny, Geometry and Mechanics of Pneumatic Tires (Zlín, CZE, 2007)

20.

K. Yamagishi et al., Study on contour of radial tire: rolling optimization theory—RCOT. Tire Sci. Technol. 15(1), 3–29 (1987)CrossRef

21.

H. Ogawa et al., A study on the truck and bus radial tire—tension control optimization theory (TCOT). Tire Sci. Technol. 18(4), 236–261 (1990)CrossRef

22.

Y. Nakajima et al., Theory of optimum tire contour and its application. Tire Sci. Technol. 24(3), 184–203 (1996)CrossRef

23.

H. Sakai, Tire Engineering (Guranpuri-Shuppan, 1987) (in Japanese)

24.

K. Kabe, Study on structural mechanics of tire deformation characteristics. Ph.D. thesis (Chuo University, 1980) (in Japanese)

25.

J.D. Walter, Centrifugal effects in inflated rotating bias ply tires. Tex. Res. J. 40, 1–7 (1970)CrossRef

26.

H. Nakayama, K. Furukawa, Satisficing trade-off method with an application to multiobjective structural design. Large Scale Syst. 8, 47–57 (1985)MATH

27.

Y. Nakajima, New tire design procedure based on optimization technique. SAE Paper, No. 960997 (1996)

Title: Theory of Tire Shape
Author: Yukio Nakajima
Publisher: Springer Singapore
Book: Advanced Tire Mechanics
Print ISBN: 978-981-13-5798-5

Electronic ISBN: 978-981-13-5799-2

Copyright Year: 2019
DOI: https://doi.org/10.1007/978-981-13-5799-2_5

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