THEORETICAL APPROACH FOR THE GEOMETRICALLY NONLINEAR BUCKLING ANALYSIS OF SINUSOIDAL VELAROIDAL SHELLS

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Abstract

The main subjects of the article are theoretical strength and buckling analyses of a sinusoidal velaroidal shell subjected to its self-weight and uniformly distributed load in geometric nonlinearity. A short history of finite element applications to shell buckling is given. The finite element method is used in its matrix formulation. The elastic stiffness matrixes in the local coordinate system of the membrane element are defined in their general form. The out-of-plane geometric stiffness matrix for the plate along the same lines is derived

About the authors

MATHIEU GIL-OULBE

RUDN University

Author for correspondence.
Email: gil-oulbem@hotmail.com
PhD, Assoc. Prof. Russia 117198, Moscow, Miklukho-Maklaya street, 6

Svetlana Lvovna SHAMBINA

RUDN University

Email: shambina_sl@mail.ru
PhD, Assoc. Prof. Russia 117198, Moscow, Miklukho-Maklaya street, 6

TYEKOLO DAU

RUDN University

Email: tiek.d@hotmail.com
PhD, Assis. Prof. Russia 117198, Moscow, Miklukho-Maklaya street, 6

References

  1. Mihailescu M., Horvath I. (1977). Velaroidal shells for covering universal industrial halls, Acta Techn. Acad. Sci. Hung., 85 (1-2), pp. 135-145.
  2. Krivoshapko S.N., Mamieva I.A. (2012) Outstanding space structures of the last 20 years, Montazhnye i spetsialnye raboty v stroitelstve, № 12, pp.8- 14.
  3. Krivoshapko S.N., Gil-oulbe Mathieu. (2013). Geometry and strength of a shell of velaroidal type on annulus plan with two families of sinusoids, International Journal of Soft Computing and Engineering (IJSCE) ISSN: 2231-2307, Volume-3, Issue-3, July 2013.
  4. Krivoshapko S.N., Shambina S.L. (2009). Investigation of surfaces of velaroidal type with two families of sinusoids on annular plan, Structural Mechanics of Engineering Constructions and Buildings, № 4, pp. 9-12.
  5. Gogoberidze Ya.A.(1950). Pokrytie “Darbazi”, Tbilisi: «Tekhnika da Shroma», 278 p.

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