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Numerical aspects of application of FORM in node snapping truss structures

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Wybrane pełne teksty z tego czasopisma
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Języki publikacji
EN
Abstrakty
EN
In the present paper numerical aspects of application of first order reliability method FORM in node snapping truss structures are considered. The number of the programme FEM runs and the number of iterations indicate that the proposed method provides accurate and computationally efficient estimation of the probability of failure. The study shows comparative analysis of the reliability index computations by the method of FORM, SORM, importance sampling, Monte Carlo and estimate computation error. The interesting problem is evaluation of the reliability index sensitivity with respect to random variables, mean value, and standard deviation.
Rocznik
Strony
262--271
Opis fizyczny
Bibliogr. 22 poz., rys., tab., wykr.
Twórcy
autor
  • Faculty of Civil Engineering and Architecture, Kielce University of Technology, Al. 1000-lecia PP7, 25-314 Kielce, Poland
Bibliografia
  • [1] A. Der Kiureghian, R.L. Taylor, Numerical methods in structural reliability, in: Proceedings of the Fourth International Conference on Applications of Statistics and Probability in Civil Engineering, ICASP4, Florence, Italy, 1983.
  • [2] A. Der Kiureghian, P.-L. Liu, Finite element reliability of geometrically nonlinear uncertain structures, Journal Engineering Mechanics 17 (8) (1991) 1806–1825.
  • [3] M. Gutierrez, J. Carmeliet, R. de Borst, Finite element reliability methods using Diana, in: Proceedings of the First International Diana Conference on Computational Mechanics, G.M.A. Kusters, M.A.N. Hendriks (Eds.), Diana Computational Mechanics, 1994.
  • [4] A. Der Kiureghian, Y. Zhang, Space-variant finite element reliability analysis, Computer Methods Applied Mechanics Engineering 164 (1–4) (1999) 173–183.
  • [5] K. Imai, D.M. Frangopol, Geometrically nonlinear finite element reliability analysis of structural systems, Computer & Structure 7 (6) (2000) 677–709.
  • [6] A. Der Kiureghian, T. Haukaas, Strategies for finding the design point in nonlinear finite element reliability analysis, Probabilistic Engineering Mechanics 21 (2) (2006) 133–147.
  • [7] U. Radoń, Reliability analysis of Misses truss, Archives of Civil and Mechanical Engineering 11 (2011) 723–738.
  • [8] R.E. Melchers, Structural Reliability Analysis and Predictions, 2nd ed., John Wiley, Chichester, New York, 1999.
  • [9] B. Fiessler, H.-J. Neumann, R. Rackwitz, Quadratic limit states in structural reliability, Journal of the Engineering Mechanics Division of the ASCE 105 (4) (1979) 661–676.
  • [10] O. Ditlevsen, H.O. Madsen, Structural Reliability Methods, John Wiley, Chichester, 1996.
  • [11] R. Rackwitz, Reliability analysis – a review and some perspectives, Structural Safety 23 (2001) 365–395.
  • [12] E. Riks, The application of Newton's method to the problem of elastic stability, Journal of Applied Mechanics 39 (1972) 1060–1065.
  • [13] E. Riks, An incremental approach to the solution of snapping and buckling problems, International Journal of Solids and Structures 15 (7) (1979) 529–551.
  • [14] P.G. Bergan, T.H. Soreide, Solution of large displacement and stability using the current stiffness parameter, in: Conference ‘‘Finite Elements in Nonlinear Mechanics’’, Geilo, (1977), pp. 647–669.
  • [15] P.G. Bergan, Solution techniques for nonlinear finite element problems, International Journal for Numerical Methods in Engineering 12 (1978) 1677–1696.
  • [16] R. Stocki, K. Kolanek, J. Knabel, P. Tauzowski, FE based struc-tural reliability analysis using STAND environment, Computer Assisted Mechanics and Engineering Sciences 16 (2009) 35–58.
  • [17] J. Knabel, K. Kolanek, V. Nguyen Hoang, R. Stocki, P. Tauzowski, Structural reliability analysis using object oriented environment STAND, in: Proceedings of the 36th Solid Mechanics Conference, 9–12 September Gdansk, Poland, 2008.
  • [18] A. Der Kiureghian, P.-L. Liu, Structural reliability under incomplete probability information, Journal of Engineering Mechanics, ASCE 112 (1) (1986) 85–104.
  • [19] A. Nataf, Determination des distribution don't les Marges Sont Donees, in: Comptes Rendus de l'Academic des Sciences, vol. 225, Paris, (1962), pp. 42–43.
  • [20] R. Rackwitz, B. Fiessler, Structural reliability under combined random load sequences, Computers & Structures 9 (5) (1978) 489–494.
  • [21] T. Abdo, R. Rackwitz, Reliability of uncertain structural sys- tems, in: Proc. Finite Elements in Engineering Applications, INTES GmbH, Stuttgart, 1990, pp. 161–176.
  • [22] P.E. Gill, W. Murray, M.H. Wright, Practical Optimization, Academic Press, London, 1981.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-363de1f6-cc58-4532-b056-051be8115f0c
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