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Structural stability and reliability of the underground steel tanks with the Stochastic Finite Element Method

Wybrane pełne teksty z tego czasopisma
Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The main aim is to present the Stochastic perturbation-based Finite Element Method analysis of the stability and also reliability of the underground steel vertical cylindrical structure of the waste container. This thin walled structure with constant cross-sectional thickness is loaded with subsoil pressure, snow and surface as well as dead loads and we look for the critical pressure value, when stability loss would be observed; it is done to design in the probabilistic context the safety margins. We employ to achieve this goal the Finite Element Method program ROBOT and computer algebra system MAPLE to get the analytical polynomial functions relating the critical pressure and random design parameters – shell thickness and its Young's modulus as well as to provide all probabilistic calculations. We determine up to the fourth order probabilistic characteristics of the structural response assuming that the input random parameters have Gaussian probability functions truncated to the positive values only. Finally, the reliability index is calculated according to the first order method using a difference in-between critical pressure and maximum tensile stress determined in this structure to verify its durability according to the demands of EU engineering codes.
Rocznik
Strony
593--602
Opis fizyczny
Bibliogr. 16 poz., rys., tab., wykr.
Twórcy
autor
  • Department of Structural Mechanics, Faculty of Civil Engineering, Architecture and Environmental Engineering, Technical University of Łódź, Al. Politechniki 6, 90-924 Łódź, Poland
autor
  • Department of Structural Mechanics, Faculty of Civil Engineering, Architecture and Environmental Engineering, Technical University of Łódź, Al. Politechniki 6, 90-924 Łódź, Poland
Bibliografia
  • [1] K.J. Bathe, Finite Element Procedures, Prentice Hall, Englewood Cliffs, 1996.
  • [2] J.S. Bendat, A.G. Piersol, Random Data: Analysis and Measurement Procedures, Wiley, New York, 1971.
  • [3] C.A. Cornell, A First-Order Reliability Theory for Structural Design. Study 3. Structural Reliability and Codified Design, University of Waterloo, Ontario, 1969.
  • [4] I. Elishakoff, Probabilistic Methods in the Theory of Structures, Wiley, 1983.
  • [5] I. Elishakoff, Uncertain buckling: its past, present and future, International Journal of Solid Structures 37 (2000) 6869–6889.
  • [6] E. Ellobody, Interaction of buckling modes in castellated steel beams, Journal of Constructional Steel Research 67 (2011) 814–825.
  • [7] R.D. Ghanem, P.D. Spanos, Stochastic Finite Elements: A Spectral Approach, Berlin, Springer, 1991.
  • [8] L.L. Graham, E.F. Siragy, Stochastic finite-element analysis for elastic buckling of stiffened panels, Journal of Engineering Mechanics 127 (2001) 91–97.
  • [9] M. Kamiński, The Stochastic Perturbation Method for Computational Mechanics, Wiley, Chichester, 2013.
  • [10] M. Kamiński, P. Świta, Generalized Stochastic Finite Element Method in elastic stability problems, Computers & Structures 89 (2011) 1241–1252.
  • [11] M. Kleiber, T.D. Hien, The Stochastic Finite Element Method, Wiley, Chichester, 1992.
  • [12] V. Papadopoulos, G. Stefanou, M. Papadrakakis, Buckling analysis of imperfect shells with stochastic non-Gaussian material and thickness properties, International Journal of Solid Structures 46 (2009) 2800–2808.
  • [13] Z. Sadovský, M. Drdácký, Buckling of plate strip subjected to localized corrosion—A stochastic model, Journal of Thin- Walled Structures 39 (2001) 247–259.
  • [14] A. Steinböck, X. Jia, G. Höfinger, H. Rubin, H.A. Mang, Remarkable postbuckling paths analyzed by means of the consistently linearized eigen problem, International Journal of Numerical Methods in Engineering 76 (2008) 156–182.
  • [15] P.H. Waarts, A.C.W.M. Vrouwenvelder, Stochastic finite element analysis of steel structures, Journal of Constructional Steel Research 52 (1999) 21–32.
  • [16] O.C. Zienkiewicz, R.L. Taylor, The Finite Element Method for Solid and Structural Mechanics, 6th ed., Elsevier, Butterworth–Heinemann, Amsterdam, 2005.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-c53f26e9-552c-4efe-a639-28f200f6c617
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