Geodesic
Boundary value problem for the flexible axially loaded compound shells of revolution and beams systems
Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 4 (2012), pp. 122-130

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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. 
@article{VSGTU_2012_4_a11,
     author = {E. Ya. Elenitsky},
     title = {Boundary value problem for the flexible axially loaded compound shells of revolution and beams systems},
     journal = {Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences},
     pages = {122--130},
     publisher = {mathdoc},
     number = {4},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VSGTU_2012_4_a11/}
}
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E. Ya. Elenitsky. Boundary value problem for the flexible axially loaded compound shells of revolution and beams systems. Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 4 (2012), pp. 122-130. http://geodesic.mathdoc.fr/item/VSGTU_2012_4_a11/