Comparision of Numerical Results with Known Solutions of Buckling Problem of Pressured Shallow Spherical Shells

• Autorzy: Lykhachova O. , Kołakowski Z.
• Języki publikacji: EN

Abstrakty

EN

Buckling problem of pressured shallow spherical shells is studied numerically for two types of finite elements: axisymmetric and non–axisymmetric. A very good correspondence of obtained results and known solutions is revealed in the case of clamed and hinged spherical segments for both types of finite elements. The comparison of results also shows that using non–axisymmetric finite element lets one get full pre– and post– buckling equilibrium path in the range of relative deflections w=h.

Słowa kluczowe

EN

buckling; spherical shells; external pressure; numerical simulation; axisymmetric; non-axisymmetric finite elements

PL

wyboczenie; ciśnienie zewnętrzne; symulacja numeryczna; elementy skończone

• Wydawca: Wydawnictwo Politechniki Łódzkiej
• Czasopismo: Mechanics and Mechanical Engineering
• Rocznik: 2016
• Tom: Vol. 20, nr 2
• Strony: 185--190
• Opis fizyczny: Bibliogr. 5 poz.

Twórcy

autor

Lykhachova O.

• Department of Structural Mechanics and Strength of Materials Prydniprovs'ka State Academy of Civil Engineering and Architecture Chernyshevskogo 24a, 49600 Dnipropetrovs'k, Ukraine

autor

Kołakowski Z.

Bibliografia

• [1] Grigolyuk, E. I. and Kabanov, V. V.: Stability of shells, Nauka, Moscow (in Russian), 1978.
• [2] Marcinowski, J.: Stability of relatively deep segments of spherical shells loaded by external pressure, Journal of Thin Walled Structures, 45, 906-910, 2007.
• [3] Weinitschke, H.: On the stability problem for shallow shells, Journal of Math. and Phys., 38, 209-231, 1960.
• [4] Thurston, G. A.: A numerical solution of the nonlinear equations for axisymmetrical bending of shallow spherical shells, J. Appl. Mech., 28(4), 551-562, 1961.
• [5] Lykhachova, O., Burlaka, O. and Krasovsky, V.: Buckling problem of shallow spherical shells: comparison of numerical results with known solutions, Proc. Theoretical Foundations Of Civil Engineering, 23, WP, Warsaw, 117-120, 2015.

Uwagi

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę.