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IssuesArchive of Issues2003-5pp.18-23

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S. V. Strel'tsov, "To the determination of contact forces for a deformable wheel rolling along a base having a finite stiffness," Mech. Solids. 38 (5), 18-23 (2003)
Year 2003 Volume 38 Number 5 Pages 18-23
Title To the determination of contact forces for a deformable wheel rolling along a base having a finite stiffness
Author(s) S. V. Strel'tsov (Moscow)
Abstract The plane rolling a wheel along a rough surface is considered. A model that takes into account finite stiffness of the base and the wheel is constructed. An expression for contact forces is obtained. This expression transforms into the familiar relations in the limit cases.
References
1.  A. Yu. Ishlinskii, "On the slip in the contact region in the case of rolling friction," Izv. AN SSSR. OTN, No. 6, pp. 3-15, 1956.
2.  M. A. Levin and N. A. Fufaev, Rolling Friction of a Deformable Wheel [in Russian], Nauka, Moscow, 1989.
3.  Yu. I. Neimark and N. A. Fufaev, Dynamics of Non-holonomic Systems [in Russian], Nauka, Moscow, 1967.
4.  I. V. Novozhilov, "Rolling of a wheel," Izv. AN. MTT [Mechanics of Solids], No. 4, pp. 50-55, 1998.
5.  I. V. Novozhilov and S. V. Strel'tsov, "On non-holonomic relations in the theory of a rolling wheel," Problemy Nelineinogo Analiza i Sinteza v Inzhenernykh Sistemakh, No. 1, pp. 3-8, 1995.
6.  A. A. Khachaturov (Editor), Dynamics of the System Road-Tire-Automobile-Driver [in Russian], Mashinostroenie, Moscow, 1976.
7.  H. B. Pacejka, "Lateral dynamics of road vehicles," Vehicle Syst. Dynam. Suppl., Vol. 16, pp. 75-120, 1987.
8.  I. V. Novozhilov, Fractional Analysis [in Russian], Izd-vo MGU, Moscow, 1991.
9.  A. B. Vasil'eva and V. F. Butuzov, Asymptotic Methods in the Theory of Singular Perturbations [in Russian], Vysshaya Shkola, Moscow, 1990.
Received 06 July 2000
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