Numerical analysis of cylindrical shell stability interacting with inhomogeneous soil

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Abstract

The research is aimed at determining the critical buckling load of the spatial model “shell - soil” system in the case of inhomogeneous physical and mechanical soil properties along the longitudinal axis of the cylindrical shell in a nonlinear formulations of the task. Methods. The task is solved by a numerical method using a finite element complex ANSYS. Two calculated cases of the spatial model “shell - soil” system are compiled. The soil is divided into two equal parts with different physical and mechanical properties. The problem was solved in geometrically, physically and constructively nonlinear statement. Nonlinearity is due to the need to find the contact zone through an iterative process and determine the time-varying position of the shell. The soil is modeled by volumetric elements, each consisting of twenty nodes. The shell is modeled by flat elements, each consisting of four nodes. Contact elements of one-side action are used. Critical buckling load are determined relative to the actual load of its own weight. Results. Critical loads are obtained from two calculated cases of the spatial model “shell - soil” system. There is a comparative analysis of the results. An assessment of the stability margin of the shell relative to the actual load is given.

About the authors

Sergey B. Kosytsyn

Russian University of Transport

Email: kositsyn-s@yandex.ru
ORCID iD: 0000-0002-3241-0683

adviser of the Russian Academy of Architecture and Construction Sciences, D.Sc. in Engineering, Professor of the Department of Theoretical Mechanics

9 Obraztsova St, bldg 9, Moscow, 127994, Russian Federation

Vladimir Yu. Akulich

Russian University of Transport

Author for correspondence.
Email: vladimir.akulich@gmail.com
ORCID iD: 0000-0002-9467-5791

PhD student, Department of Theoretical Mechanics

9 Obraztsova St, bldg 9, Moscow, 127994, Russian Federation

References

  1. Lalin V.V., Dmitriev A.N., Diakov S.F. Nonlinear deformation and stability of geometrically exact elastic arches. Magazine of Civil Engineering. 2019;5(89):39–51. http://dx.doi.org/10.18720/MCE.89.4
  2. Semenov A.A. Strength and stability of geometrically nonlinear orthotropic shell structures. Thin-Walled Structures. 2016;106:428–436. http://dx.doi.org/10.1016/j.tws.2016.05.018
  3. Semenov A.A. Methodology research of stability of shallow orthotropic shells of double curvature under dynamic loading. International Journal for Computational Civil and Structural Engineering, 2017;13(2):145–153. http://dx.doi.org/10.22337/2587-9618-2017-13-2-145-153
  4. Theory reference for the mechanical APDL and mechanical applications. ANSYS, Inc. 2009.
  5. Timoshenko S.P. Theory of elastic stability. Moscow: Gostekhizdat Publ.; 1955. (In Russ.)
  6. Kosytsyn S.B., Akulich V.Yu. The definition of the critical buckling load beam model and two-dimensional model of the round cylindrical shell that interact with the soil. Structural Mechanics of Engineering Constructions and Buildings. 2019;15(4):291–298. (In Russ.) http://dx.doi.org/10.22363/1815-5235-2019-15-4-291-298
  7. Kosytsyn S., Akulich V. Buckling load of an infinitely long cylindrical shell interacting with the soil environment. J. Phys.: Conf. Ser. 2020;1425:012078. http://dx.doi.org/10.1088/1742-6596/1425/1/012078
  8. Leontiev A.N., Leontieva I.G. Analysis of an infinite composite beam located on elastic foundation. Proceedings of Moscow State University of Civil Engineering. 2010;(4):167–172. (In Russ.)
  9. Gabbasov R.F., Uvarova N.B., Filatov V.V. On calculation of beams resting on two-parameter elastic foundations. Proceedings of Moscow State University of Civil Engineering. 2012;(2):25–29. (In Russ.)
  10. Kositsyn S.B., Chan S.L. Numerical analysis of the stress-strain state of orthogonally intersecting cylindrical shells with and without taking into account their one-sided interaction with the surrounding soil mass. International Journal for Computational Civil and Structural Engineering. 2014;(1):72–78. (In Russ.)
  11. Kositsyn S.B., Chan S.L. Comparative analysis of various models of the soil mass surrounding the cylindrical shell, taking into account the possibility of its detachment from the shell. International Journal for Computational Civil and Structural Engineering. 2013;(1):65–72. (In Russ.)
  12. Timoshenko S.P. A course in the theory of elasticity. Kiev: Naukova Dumka Publ.; 1972. (In Russ.)
  13. Zenkevich O.K. Finite element method in engineering. Moscow: Mir Publ.; 1975. (In Russ.)
  14. Thompson J.M.T., Hunt G.W. The buckling of structures in theory and practice. Moscow: Nauka Publ.; 1991. (In Russ.)
  15. Kyriakides S., Babcock C.D. Large deflection collapse analysis of an inelastic inextensional ring under external pressure. Int. J. of Solids and Structures. 1981;17:981–993.

Copyright (c) 2021 Kosytsyn S.B., Akulich V.Y.

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