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JOURNALS // Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences // Archive

Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 2012 Issue 4(29), Pages 122–130 (Mi vsgtu1191)

This article is cited in 3 papers

Mechanics of Solids

Boundary value problem for the flexible axially loaded compound shells of revolution and beams systems

E. Ya. Elenitsky

Samara State University of Architecture and Construction, Samara, Russia

Abstract: The effective algorithm of static calculation of geometrically nonlinear compound thin structures is offered. Linear differential equations of moment theory are used. Nonlinearity is considered by assigning unknown initial angular displacement of each segment retaining the form of the generating line. Unknown values of algebraic equations resolving system are the arbitrary constants of the general solution and the initial angles of generating lines rotation. Linearization is realized by Newton–Raphson iterative method and provides the high precision of results.

Keywords: geometrical nonlinearity, beam, shell of revolution, angular deflection, differential equations, iterative calculation.

UDC: 539.3:517.95:534.1

MSC: Primary 35Q74; Secondary 74K20, 74K25

Original article submitted 02/V/2012
revision submitted – 21/XI/2012

DOI: 10.14498/vsgtu1191



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