Abstract
The application of the quadrature method [1] to analyzing the shells of revolution under symmetrical loading relative to the zero meridian is considered. The method can be treated as a generalization of the method presented in [2] to solve the Volterra integral equation of the second kind.
Similar content being viewed by others
References
Akhmed’yanov, I.S., Application of the Quadrature Method to Integration of the Decisive System of Differential Equations for Shells of Revolution Bending, Izv. AN SSSR. Mekhanika Tverdogo Tela, 1990, no. 4, pp. 83–87.
Collatz, L., Numerical Treatment of Differential Equations, N.Y.: Verlag, 1960.
Biderman, V.L., Mekhanika tonkostennykh konstruktsii: Statika (Mechanics of Thin-Walled Structures: Statics), Moscow: Mashinostroenie, 1977.
Akhmed’yanov, I.S., Primenenie metoda kvadratur k raschetu obolochek vrashcheniya pri simmetrichnom nagruzhenii (Application of the Quadrature Method to Analyzing the Shells of Revolution under Symmetrical Loading). Available from VINITI, 2003, Samara, no. 1942-V2003.
Valishvili, N.V., Metody rascheta obolochek vrashcheniya na ETSVM (Computational Methods for Shells of Revolution), Moscow: Mashinostroenie, 1976.
Stepanov, V.V., Kurs differentsial’nykh uravnenii (Differental Equation Course), Moscow: Gostekhizdat, 1953.
Akhmed’yanov, I.S., Primenenie bezmomentnoi teorii i teorii kraevogo effekta k raschetu dlinnykh obolochek vrashcheniya metodom kvadratur (Application of the Membrane Theory and End Effect to Calculation of Long Shells of Revolution by the Quadrature Method), Available from VINITI, 2006, Samara, no. 803-V2006.
Author information
Authors and Affiliations
Additional information
Original Russian Text © I.S. Akhmed’yanov, 2009, published in Izvestiya VUZ. Aviatsionnaya Tekhnika, 2009, No. 4, pp. 8–11.
About this article
Cite this article
Akhmed’yanov, I.S. Analysis of shells of revolution under symmetrical loading using the quadrature method. Russ. Aeronaut. 52, 383–389 (2009). https://doi.org/10.3103/S1068799809040023
Received:
Published:
Issue Date:
DOI: https://doi.org/10.3103/S1068799809040023