Conclusions
-
1.
A method was proposed for designing prestressed multilayered anisotropic (nonorthotropic) shells of revolution that are subjected to local loads.
-
2.
An algorithm was developed for numerical solution of the problem and was used to analyze the stress-strain state of a cross-reinforced toroidal rubber-cord shell subjected to a normal load distributed over a small area of the outside surface.
Similar content being viewed by others
Literature cited
V. V. Vasil'ev, “Action of a local load on a cylindrical shell made of an arthotropic glass-plastic,” Mekh. Polim., No. 1, 95–101 (1970).
Yu. P. Artyukhin, Yu. P. Zhigalko, and G. M. Sal'nikov, “Action of a local load on a laminated orthotropic cylindrical shell made of glass-plastic,” Transactions of the VII All-Union Conference on the Theory of Plates and Shells, Moscow (1970), pp. 69–73.
Ya. M. Grigorenko, Isotropie and Anisotropic Laminated Shells of Revolution of Variable Stiffness [in Russian], Kiev (1973).
Yu. P. Zhigalko, “Statics of shells under local mechanical loads,” in: Studies in the Theory of Plates and Shells [in Russian], Vol. 2, Kazan' (1975), pp. 62–91.
D. W. Nicholson, “A model analysis of the structural and pneumatic contributions to tire behavior under vertical loads,” Tire Sci. Technol.,3, No. 1, 29–42 (1975).
H. Kaga, K. Okamoto, and Y. Tozawa, “Stress analysis of a tire under vertical load by a finite element method,” ibid.,5, No. 2, 102–118 (1977).
J. T. Tielking and R. A. Schapery, “A method for shell contact analysis,” Computer Methods in Appl. Mechanics and Eng.,26, No. 2, 181–195 (1981).
I. K. Nikolaev, “Mathematical model and numerical method for designing tires for asymmetric loads,” International Conference on Natural and Synthetic Rubber. Section B. Part 2. Kiev (1978). Preprint B19.
E. N. Kvasha, A. V. Plekhanov, and A. P. Prusakov, “Nonclassical variant of the moment theory of pneumatic tires,” ibid., Moscow (1984). Preprint B50.
A. E. Belkin, “Design of three-layer rubber-cord shells of revolution,” Transactions of the XIV All-Union Conference on the Theory of Plates and Shells, Vol. 1, Tbilisi (1987), pp. 188–193.
R. A. Ridha, “Computation of stresses, strains, and deformations of tires,” Rubber Chem. Technol.,53, No. 4, 849–902 (1980).
A. K. Noor and J. A. Tanner, “Tire modeling and contact problems. Advances and trends in the development of computational models for tires,” Comput. Struct.,20, No. 1–3, 517–533 (1985).
E. I. Grigolyuk and G. M. Kulikov, Multilayered Reinforced Shells. Design of Pneumatic Tires [in Russian], Moscow (1988).
G. M. Kulikov, “Asymmetric loading of prestressed multilayered reinforced shell,” Mekhanika Kompozitnykh Materialov, No. 2, 312–316 (1990).
S. K. Godunov, “Numerical solution of boundary-value problems for systems of ordinary linear differential equations,” Usp. Mat. Nauk,16, No. 3, 171–174 (1961).
V. I. Myachenkov and V. P. Mal'tsev, Methods and Algorithms for the Computer Design of Three-Dimensional Structures [in Russian], Moscow (1984).
E. I. Grigolyuk and G. M. Kulikov, “Theory and numerical solution of problems of the statics of multilayered reinforced shells,” Mekh. Kompozitn. Mater., No. 4, 643–650 (1986).
A. K. Malmeister, V. P. Tamuzh, and G. A. Teters, Strength of Rigid Polymers [in Russian], Riga (1980).
Author information
Authors and Affiliations
Additional information
Translated from Mekhanika Kompozitnykh Materialov, No. 4, pp. 670–676, July–August, 1991.
Rights and permissions
About this article
Cite this article
Grigolyuk, E.I., Kulikov, G.M. Local loading of rubber-cord shells of revolution. Mech Compos Mater 27, 436–441 (1992). https://doi.org/10.1007/BF00613573
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00613573