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Literature cited
É. I. Grigolyuk and I. T. Selezov, Nonclassical Theories of Vibration of Beams, Plates, and Shells. Progress in Science and Engineering. Mechanics of Deformable Solids [in Russian], Vol. 5, Moscow (1973).
V. E. Spiro, “A variant of geometrically nonlinear theory of anisotropic shells with transverse shear taken into account,” Mekh. Polim., No. 5, 863–871 (1969).
V. N. Mal'gin, “Algorithms of solution of problems pertaining to strength and vibration of shells of revolution based on equations of the Timoshenko kind,” Metody Reshen. Zadach Uprug. Plastichn., No. 7, 137–142 (1973).
É. V. Raman, “Nonlinear equations of statics for glass-plastic shells of revolution taking into account strain due to transverse shear,” in: Trans. N. É. Bauman Moscow Higher Technical School [in Russian], No. 206, Moscow (1976), pp. 107–118.
N. S. Bakhvalov, Numerical Methods [in Russian], Moscow (1973).
S. B. Stechkin and Yu. N. Subbotin, Splines in Computer Mathematics [in Russian], Moscow (1976).
C. H. Reinsch, “Smoothing by spline functions,” Numer. Math.,10, No. 4, 177–183 (1967).
A. K. Malmeister, V. P. Tamuzh, and G. A. Teters, Resistance of Rigid Polymer Materials [in Russian], 2nd ed., Riga (1972).
Ya. M. Grigorenko and A. T. Vasilenko, “Solution of problems pertaining to axisymmetric deformation of anisotropic multilayer shells of revolution,” Prikl. Mekh.,7, No. 8, 3–8 (1971).
Ya. M. Grigorenko, Isotropic and Anisotropic Multilayer Variable-Stiffness Shells of Revolution [in Russian], Kiev (1973).
G. A. Cohen, “FASOR: A second generation shell-of-revolution code,” Comput. Struct.,10, Nos. 1–2, 301–309 (1979).
V. V. Novozhilov, Fundamental Nonlinear Theory of Elasticity [in Russian], Leningrad (1948).
É. I. Grigolyuk and V. I. Mamai, “One variant of equations of the theory of finite displacements in deep shells,” Prikl. Mekh.,10, No. 2, 3–13 (1974).
V. V. Novozhilov, Theory of Thin Shells [in Russian], Leningrad (1962).
P. M. Ogibalov and M. A. Koltunov, Shells and Plates [in Russian], Moscow (1969).
A. V. Karmishin, V. A. Lyaskovets, V. I. Myachenkov, and A. N. Frolov, Statics and Dynamics of Thin-Walled Shell Structures [in Russian], Moscow (1975).
C. H. Reinsch, “Smoothing by spline functions, Part 2,” Numer. Math.,16, No. 5, 451–454 (1971).
V. L. Biderman and B. L. Bukhin, “Design of reticular zero-moment shells,” in: Trans. Sixth All-Union Conf. on the Theory of Shells and Plates [in Russian], Moscow (1966), pp. 948–953.
H. K. Brewer, “Tire stress and deformation from composite theory,” Tire. Sci. Technol.,1, No. 1, 47–76 (1973).
J. D. Walter, G. N. Avgeropoulos, M. L. Janssen, and G. R. Potts,” Advances in tire composite theory,” Tire. Sci. Technol.,1, No. 2, 210–250 (1973).
V. L. Biderman and M. M. Gershenzon, “Design of a pneumatic radial tire as an orthotropic triple-layer shell,” Izv. Vyssh. Uchebn. Zaved., Mashinostr., No. 6, 83–87 (1979).
I. K. Nikolaev, “A mathematical model and a numerical method for the design of tires for nonaxisymmetric loads,” in: Int. Conf. on Caoutchouc and Rubber [in Russian], Section C, No. 2, Kiev (1978).
Yu. K. Rasteryaev, É. N. Kvasha, and A. P. Prusakov, “Design of a large diagonal tire for internal pressure and local service loads,” in: Int. Conf. on Caoutchouc and Rubber [in Russian], Section C, No. 2, Kiev (1978).
V. L. Biderman, R. L. Guslitser, S. P. Zakharov, B. V. Nenakhov, I. I. Seleznev, and S. M. Tsukerberg, Automobile Tires [in Russian], Moscow (1963).
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Translated from Mekhanika Kompozitnykh Materialov, No. 4, pp. 637–645, July–August, 1981.
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Grigolyuk, É.I., Kulikov, G.M. Axisymmetric deformation of anisotropic multilayer shells of revolution of intricate shapes. Mech Compos Mater 17, 437–445 (1982). https://doi.org/10.1007/BF00605911
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DOI: https://doi.org/10.1007/BF00605911