Abstract
A method is proposed to solve the contact problem for laminated anisotropic shells of revolution. The method is based on a two-dimensional model that accounts for transverse shears and reduction. Also the method is based on the method of successive approximations, the generalized pseudo-force method, and a numerical-analytical method of solving boundary-value problems. The results obtained for a cylindrical shell of complex thickness structure are compared with those obtained in three-dimensional formulation
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
REFERENCES
A. T. Vasilenko and I. G. Emel’yanov, “Contact problem for a thin cylindrical shell on a circular base,” Probl. Prochn., No. 6, 81–86 (1990).
A. T. Vasilenko and I. G. Emel’yanov, “Numerical solution of contact problems for shells of revolution,” in: Proc. 25th All-Union Conf. on the Theory of Shells and Plates [in Russian], Vol. 1, Izd. Kazan. Univ., Kazan (1990), pp. 19–24.
E. I. Grigolyuk and V. M. Tolkachyov, Contact Problems in the Theory of Plates and Shells [in Russian], Mashinostroenie, Moscow (1980).
Ya. M. Grigorenko, A. T. Vasilenko, and G. P. Golub, Statics of Anisotropic Shells with Finite Shear Stiffness [in Russian], Naukova Dumka, Kiev (1987).
Ya. M. Grigorenko, A. T. Vasilenko, and N. D. Pankratova, Statics of Anisotropic Thick-Walled Shells [in Russian], Vyshcha Shkola, Kiev (1985).
S. N. Kantor, Contact Problems in the Nonlinear Theory of Shells of Revolution [in Russian], Naukova Dumka, Kiev (1990).
V. A. Krys’ko, V. F. Kirichenko, A. V. Krys’ko, and T. V. Babenkova, “Static contact problems in the theory of plates on a rectangular plane,” Proc. 28th Int. Conf. on the Theory of Shells and Plates [in Russian], Vol. 3, Saratov (1997), pp. 122–129.
Ya. M. Grigorenko, A. T. Vasilenko, I. G. Emel’yanov, et al., Statics of Structural Members, Vol. 8 of the 12-volume series Mechanics of Composites [in Russian], A. S. K., Kiev (1999).
V. I. Mossakovskii, V. S. Gudramovich, and E. M. Makeev, Contact Interaction of Shell Elements [in Russian], Naukova Dumka, Kiev (1988).
B. L. Pelekh and M. A. Sukhorol’skii, Contact Problems in the Theory of Elastic Anisotropic Shells [in Russian], Naukova Dumka, Kiev (1980).
E. I. Bespalova and A. B. Kitaigorodskii, “Bending of composite plates under static and dynamic loading,” Int. Appl. Mech., 41, No.1, 56–61 (2005).
E. I. Bespalova and A. B. Kitaigorodskii, “Deformation of piecewise-homogeneous plates,” Int. Appl. Mech., 39, No.2, 217–223 (2003).
A. T. Vasilenko and I. G. Emel’yanov “One approach to solving the problem of the contact of a cylindrical shell with a rigid body,” Int. Appl. Mech., 26, No.5, 454–459 (1990).
A. T. Vasilenko and G. P. Urusova, “Solving stress problems for elastic systems of anisotropic shells of revolution with regard for transverse shear and reduction,” Int. Appl. Mech., 39, No.5, 587–594 (2003).
A. T. Vasilenko and G. P. Urusova, “Influence of the locality of loading on the stress distribution in anisotropic shells of revolution,” Int. Appl. Mech., 40, No.2, 213–217 (2004).
Author information
Authors and Affiliations
Additional information
__________
Translated from Prikladnaya Mekhanika, Vol. 41, No. 5, pp. 68–75, May 2005.
Rights and permissions
About this article
Cite this article
Vasilenko, A.T., Bespalova, E.I. & Urusova, G.P. Contact Interaction Between a Laminated Shell of Revolution and a Rigid or Elastic Foundation. Int Appl Mech 41, 520–525 (2005). https://doi.org/10.1007/s10778-005-0118-0
Received:
Issue Date:
DOI: https://doi.org/10.1007/s10778-005-0118-0