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Numerical Simulation of Axially Compressed Cylindrical Shells with Circular Cutouts

Autorzy
Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The present paper deals with FEM modelling of Tennyson’s famous experiment: the buckling problem of axially compressed elastic cylindrical shells with small single circular cutouts. It is completed using ANSYS software package in geometrically linear and nonlinear formulations for three different loading schemes. Two of the loading schemes provide an upper and lower bounds for buckling loads. The third loading scheme corresponds to the experiment and gives an excellent agreement of numerical results with the experimental data. The influence of shell thickness on buckling load is studied in addition to common non–dimensional geometrical shell parameter. Decrease of a shell thickness about two times leads to decrease of buckling load parameter about 7 % in the studied range of cutouts. The efficiency of ANSYS software is proved for the buckling design of shells with highly non–homogeneous stress strain state.
Rocznik
Strony
309--320
Opis fizyczny
Bibliogr. 23 poz.
Twórcy
  • Department of Structural Mechanics and Strength of Materials Prydniprovs'ka State Academy of Civil Engineering and Architecture Chernyshevskogo 24a, 49600 Dnipropetrovs'k, Ukraine
Bibliografia
  • [1] Lur’e, A. I.: Static of thin–walled elastic shells, AEC-tr-3798, Atomic Energy Commission, (translated from Moscow: State Publishing House of Technical and Theoretical Literature,) 1947.
  • [2] Tennyson, R. C.: The effect of unreinforced circular cutouts on the buckling of circular cylindrical shells under axial compression, Journal of Engineering for Industry, 90(4), 541–546, 1968.
  • [3] Lykhachova, O. and Krasovsky, V.: Numerical simulation of buckling tests of axially compressed cylindrical shells with one circular cutout (R. Tennyson’s experiments), Proc. Theoretical Foundations of Civil Engineering, 22, WP, Warsaw, 133–136, 2014.
  • [4] Van Dyke, P.: Stress about a circular hole in a cylindrical shell, AIAA Journal, 3, 1733–1742, 1965.
  • [5] Preobrazhenskii, I. N.: Stability of thin–walled shells with holes (survey). Part 1, Strength of Materials, 14(1), 23–35, 1982.
  • [6] Preobrazhenskii, I. N.: Stability of thin shells with cutouts (review). Part 2, Strength of Materials, 14(2), 218–225, 1982.
  • [7] Grigolyuk, E. I. and Fil’shinskii, L. A.: Perforated plates and shells, Nauka, Moscow, (in Russian), 1970.
  • [8] Ashmarin, Y. A. and Guz, A. N.: Stability of a shell weakened by holes (review), Soviet Applied Mechanics, 9(4), (1973), 349-358, (translated from Prikladnaya Mekhanika, 9(4), (1973), 3-15).
  • [9] Simitses, G. J.: Buckling and postbuckling of imperfect cylindrical shells. A review, Applied Mechanics Review, 39(10), 1517–1524, 1986.
  • [10] Teng, J. G.: Buckling of thin shells. Recent advances and trends, Applied Mechanics Review, 49(4), 263–274, 1996.
  • [11] Song, C–Y.: Buckling of cylindrical shells under non-uniform axial compressive stress, Journal of Zhejang University, 3(50), 520–531, 2002.
  • [12] Elishakoff, I.: Resolution of the Twentieth Century Conundrum in Elastic Stability, 1st ed., World Scientific Publishing Company, 2014.
  • [13] Obodan, N. I., Lebedev, O. G. and Gromov, V. A.: Nonlinear behaviour and stability of thin–walled shells – Solid Mechanics and its applications, New York–London: Springer Dordrecht Heidelberg, 199, 2013.
  • [14] Kwok, R. M. K.: Mechanics of damaged thin{walled cylindrical shells, Ph.D. Thesis, University of Surrey, Guildford, 1991.
  • [15] Dzyuba, A. P., Prokopalo, E. F. and Dzyuba, P. A.: Bearing capacity of cylindrical shells with the perforations, Lira, Dnipropetrovsk, (in Ukrainian), 2014.
  • [16] Hilburger, M. W.: Buckling and failure of compression-loaded composite laminated shells with cutouts, AIAA Journal, 21(99), 1–13, 2007.
  • [17] Hilburger, M. W. and Starnes, Jr. J. H.: Effects of imperfections on the buckling response of compression–loaded composite shells, Journal of Non{linear Mechanics, 37, 623–643, 2002.
  • [18] Kriegesmann, B., Hilburger, M. W. and Rolfes, R.: The effect of geometric and loading imperfections on the response and lower–bound buckling load of a compression–loaded cylindrical shell, AIAA Journal, 1–10, 2012.
  • [19] Starnes, Jr. J. H.: Effect of a circular hole on the buckling of cylindrical shells loaded by axial compression, AIAA Journal, 10(11), 1466–1472, 1972.
  • [20] Jullien, J.-F. and Limam, A.: Effect of openings on the buckling of cylindrical shells subjected to axial compression, Thin{Walled Structures, 31, 187–202, 1998.
  • [21] Lykhachova, O. V. and Schmidt, R.: Deformation and buckling of axially compressed elastic cylindrical shells with transversal cut in experiments and numerical simulations, Shell Structures: Theory and Applications, 3, Taylor & Francis Group, London, 219–222, 2014.
  • [22] Krasovsky, V. L., Lykhachova, O. V.: Numerical buckling solutions of cylindrical shells with one transversal cut under different conditions of axial compression, Proc. Stability of Structures, 14, LP, Lodz, 61–62, 2015.
  • [23] ANSYS Inc. Academic Research, Release 13.0, Help System, Mechanical Analysis Guide.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-18ec9cbe-38bc-4ed3-b220-127c8106a191
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