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IssuesArchive of Issues2017-3pp.233-242

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A.E. Belkin, O.N. Mukhin, and F.D. Sorokin, "On Models and Methods of Mechanics of Pneumatic Tires and Rubber-Cord Shells. Development of the Ideas due to Professor V.L. Biderman," Mech. Solids. 52 (3), 233-242 (2017)
Year 2017 Volume 52 Number 3 Pages 233-242
DOI 10.3103/S0025654417030013
Title On Models and Methods of Mechanics of Pneumatic Tires and Rubber-Cord Shells. Development of the Ideas due to Professor V.L. Biderman
Author(s) A.E. Belkin (Bauman Moscow State Technical University, ul. 2-ya Baumanskaya 5 str. 1, Moscow, 105005 Russia, aefbelkin@gmail.com)
O.N. Mukhin (Research and Production Commercial Center VESKOM Ltd., ul. Khalturinskaya 7a, korp. 2, off. 14, Moscow, 107392 Russia)
F.D. Sorokin (Bauman Moscow State Technical University, ul. 2-ya Baumanskaya 5 str. 1, Moscow, 105005 Russia, sorokin_fd@mail.ru)
Abstract A survey of work of Professor V. L. Biderman's scientific school concerned with the mechanics of tires and rubber-cord shells is presented. Analytical models of diagonal and radial tires aimed at analyzing their stress-strain state, calculating the critical rolling speed, and determining their operating characteristics are discussed. The theory of pneumatic lattice shells is presented in detail, and its new technical applications are considered. The equations of lattice shells of revolution are generalized to the case of nonsymmetric cord placement.
Keywords diagonal tire, radial tire, rubber-cord shell, analytical tire model, lattice shell theory
References
1.  J. F. Purdy, Mathematics Underlying Design of Pneumatic Tires (Edwards Brothers Inc., Ann Arbor., 1963).
2.  R. Hadekel, "Some Notes of Pneumatic Tires," Aircr. Engng, No. 1, 11-13 (1944).
3.  R. S. Rivlin, "The Deformation of a Membrane Formed by Inextensible Cords," Arch. Ration. Mech. Anal. 2, 447-476 (1959).
4.  W. Hofferberth, "Zur Festigkeit des Luftreifens," Kautschuk und Gummi, Kunststoffe, No. 9, 225-231 (1956).
5.  A. A. Lapin "Rubber Cord Shells Treated as Elastic and Power Elements of Machines," Trudy MVTU im. N.E. Baumana, No. 16, 5-35 (1952).
6.  V. L. Biderman, "Calculations of the Profile Shape and Stresses in Elements of a Pneumatic Tire Loaded by the Internal Pressure," Trudy NIIShP, No. 3, 16-51 (1957).
7.  V. L. Biderman, R. L. Guslitser, S. P. Zakharov, et al., Automobile Tires (Goskhimizdat, Moscow, 1963) [in Russian].
8.  V. L. Biderman, R. L. Guslitser, S. P. Sakharov, et al., Automobile Tires, Construction, Design, Testing and Operation, NASA Technical Translation F-12, 382, No. 70m Accession Number 70-16410 (1969).
9.  V. L. Biderman and B. L. Bukhin, "To Calculations of Tires with Meridional Location of Cord Filaments in the Carcass," Rasch. Prochn., No. 9, 34-47 (1963).
10.  O. N. Mukhin, "Calculations of Rigidity Characteristics of Car Tires of Type P," Rasch. Prochn., No. 15, 58-87 (1971).
11.  G. I. Brodskii, V. F. Evstratov, N. L. Sakhnovskii, and L. D. Slyudikov, in Rubber Abrasion (Khimiya, Moscow, 1975), pp. 143-164 [in Russian].
12.  B. L. Bukhin, "Calculation of the Equilibrium Configuration of Pneumatic Tire with Regard to Cord Filament Extension," Kauchuk Rezina, No. 10, 35-38 (1963).
13.  V. L. Biderman, B. L. Bukhin, and I. K. Nikolaev, "Computation of the Equilibrium Configuration of the Rubber Cord Shell of Revolution Using Computers," Kauchuk Rezina, No. 5, 33-35 (1966).
14.  V. L. Biderman, B. L. Bukhin, I. K. Nikolaev, and R. N. Smetankina, Atlas of Nomograms of Equilibrium Configurations of Pneumatic Tires (Khimiya, Moscow, 1967) [in Russian].
15.  B. L. Bukhin, "Calculation of Stresses and Strains in Pneumatic Tires in Rotation," Rasch. Prochn., No. 6, 56-65 (1960).
16.  B. L. Bukhin, I. M. Gil'dman, and E. M. Kaplinskii, "Symmetric Deformation of the Membrane Lattice Shell of Revolution," Kauchuk Rezina, No. 11, 36-39 (1969).
17.  V. L. Biderman, "Differential Equations of Deformation of Rubber Cord Shells of Revolution," Trudy MVTU im. N.E. Baumana, No. 89, 119-146 (1958).
18.  V. L. Biderman and B. L. Bukhin, "Equilibrium Equations for Membrane Lattice Shell," Izv. Akad. Nauk SSSR. Mekh. Tverd. Tela, No. 1, 81-89 (1966) [Mech. Solids (Engl. Transl.)].
19.  V. L. Biderman, "To Calculations of the Critical Rolling Speed of a Pneumatic Tire," Trudy NIIShP, No. 3, 64-75 (1957).
20.  V. L. Biderman and B. L. Bukhin, "Calculations of the Critical Rolling Speed of a Pneumatic Tire," Izv. Akad. Nauk SSSR. OTN. Mekh. Mashinostr., No. 1, 52-57 (1961).
21.  V. L. Biderman, On the Calculation of the Critical Rolling Speed of a Pneumatic Tire (Univ. Michigan, Ann Arbor, 1960).
22.  V. L. Biderman and B. L. Bukhin, The Energy Method of Analysis of Rubber Shells of Revolution (Univ. Michigan, Ann Arbor, 1962).
23.  V. L. Biderman, Mechanics of Pneumatic Tires as the Foundation of Rational Design and Performance Prediction (NIIShP, Moscow, 1974) [in Russian].
24.  E. G. D'yakonov and I. K. Nikolaev, "On Numerical Solution of Some Nonlinear Boundary Value Problems of the Theory of Lattice Shells," in Trudy IIIrd All-Union Conf on Numerical Methods for Solving Problems of Elasticity and Plasticity, Vol. 1 (VTs SO AN SSSR, Novosibirsk, 1974), pp. 85-101 [in Russian].
25.  V. L. Biderman and E. Ya. Levkovskaya, "Calculations of Stresses and Strains due to Pressure in Tires of Type P," Izv. Vyssh. Uchebn. Zaved. Mashinostr., No. 3, 107-112 (1969).
26.  A. E. Belkin, "Calculations of Radial Tires as Three-Layer Orthotropic Shells of Revolution," Rasch. Prochn., No. 30, 40-47 (1989).
27.  A. E. Belkin, and A. A. Chernetsov, "Technique for Calculating the Stress Strain State of Passenger Car Radial Tires by the Nonlinear Theory of Three-Layer Shells," Vestnik MGTU im N.E. Baumana. Mashinostr., No. 2, 114-125 (1993).
28.  A. E. Belkin and N. L. Narskaya, "Dynamical Contact of the Tire Treated as a Viscoelastic Shell with Supporting Surface in Steady-State Rolling," Vestnik MGTU im N.E. Baumana. Mashinostr., No. 1, 62-73 (1997).
29.  F. D. Sorokin, "Influence of the Rubber Rigidity on the Deformation of Rubber Cord Shells with Inextensible Filaments," Izv. Vyssh. Uchebn. Zaved. Mashinostr., No. 8, 3-6 (1985).
30.  K. E. Byakov, Chan Ki An, F. D. Sorokin, and K. Yu. Mashkov, "High-Flotation Vehicle with Elastic-Skew Propulsion Device," Izv. Vyssh. Uchebn. Zaved. Mashinostr., No. 5, 37-42 (2014).
31.  F. D. Sorokin and Chan Ki An, "On the Possibility of Application of Lattice Shells with Nonsymmetrically Located Filaments as Actuators of Controlled Elastic Deformation," Izv. Vyssh. Uchebn. Zaved. Mashinostr., No. 10, 3-8 (2013).
32.  A. E. Belkin, and V. K. Semenov, "Theoretical and Experimental Analysis of the Contact between Solid-Rubber Tire and Chassis Dynamometer," Izv. Ross. Akad. Nauk. Mekh. Tverd. Tela, No. 3, 71-82 (2016) [Mech. Solids (Engl. Transl.) 51 (3), 298-307 (2016)].
33.  V. L. Biderman, P. Kh. Drozhzhin, V. A. Pugin, and V. F. Shchaveleva, "Experimental Study of Deformations of Pneumatic Tire Casing Elements," Trudy NIIShP, No. 3, 5-15 (1957).
34.  M. M. Reznikovskii and A. I. Lukomskaya, Mechanical Testing of Caoutchouc and Rubber (Khimiya, Moscow-Leningrad, 1964) [in Russian].
35.  S. K. Clark, Mechanics of Pneumatic Tires (U.S. Department of Transportation - National Highway Traffic Safety Administration, Washington D.C., 1981).
36.  A. N. Gent and J. D. Walter, The Pneumatic Tire (U.S. Department of Transportation - National Highway Traffic Safety Administration, Washington D.C., 2006).
37.  F. Koutny, Geometry and Mechanics of Pneumatic Tires (Zlin, CZE, 2007).
38.  F. Frank and W. Hofferberth, "Mechanics of the Pneumatic Tire," Rubber Chem. Technol. 40 (1), 271-322 (1967).
39.  E. Robecchi and L. Amici, "Mechanics of the Pneumatic Tire. Part I. The Tire under Inflation Alone," Tire Sci. and Technol. 1 (3), 290-345 (1973).
40.  E. Robecchi "Mechanics of the Pneumatic Tire. Part II. The Laminar Model under Inflation and in Rotation," Tire Sci. and Technol. 1 (4), 382-438 (1973).
41.  J. A. Tanner, Tire Modeling: Proceedings of a Workshop Held at NASA Langley Research Center, Hampton, Virginia, September 7-9, 1982 (NASA Conference Publication, Washington D.C., 1983).
Received 20 February 2017
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