Probabilistic buckling analysis of the beam steel structures subjected to fire by the stochastic finite element metho

• Autorzy: Świta P. , Kamiński M.

Identyfikatory

DOI

10.1515/ijame-2016-0029

• Języki publikacji: EN

Abstrakty

EN

The main purpose is to present the stochastic perturbation-based Finite Element Method analysis of the stability in the issues related to the influence of high temperature resulting from a fire directly connected with the reliability analysis of such structures. The thin-walled beam structures with constant cross-sectional thickness are uploaded with typical constant loads, variable loads and, additionally, a temperature increase and we look for the first critical value equivalent to the global stability loss. Such an analysis is carried out in the probabilistic context to determine as precisely as possible the safety margins according to the civil engineering Eurocode statements. To achieve this goal we employ the additional design-oriented Finite Element Method program and computer algebra system to get the analytical polynomial functions relating the critical pressure (or force) and several random design parameters; all the models are state-dependent as we consider an additional reduction of the strength parameters due to the temperature increase. The first four probabilistic moments of the critical forces are computed assuming that the input random parameters have all Gaussian probability functions truncated to the positive values only. Finally, the reliability index is calculated according to the First Order Reliability Method (FORM) by an application of the limit function as a difference in-between critical pressure and maximum compression stress determined in the given structures to verify their durability according to the demands of EU engineering designing codes related to the fire situation.

Słowa kluczowe

EN

stability analysis; linearized buckling; stochastic perturbation method; stochastic finite element method; response function method; reliability analysis

PL

analiza stabilności; symulacja pożaru; metoda elementów skończonych; analiza niezawodności

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mechanics and Engineering
• Rocznik: 2016
• Tom: Vol. 21, no. 2
• Strony: 485--510
• Opis fizyczny: Bibliogr. 19 poz., tab., wykr.

Twórcy

autor

Świta P.

• Department of Civil Engineering and Environmental Engineering Faculty of Technical Sciences, State University of Applied Sciences 35 kard. S. Wyszyński Str., 62-510 Konin, POLAND

autor

Kamiński M.

• Department of Structural Mechanics, Faculty of Civil Engineering, Architecture and Environmental Engineering, Łódź University of Technology Al. Politechniki 6, 90-924 Łódź, POLAND
• Department of Civil Engineering and Environmental Engineering Faculty of Technical Sciences, State University of Applied Sciences 35 kard. S. Wyszyński Str., 62-510 Konin, POLAND

Bibliografia

• [1] Elishakoff I. (1983): Probabilistic Methods in the Theory of Structures. – Wiley.
• [2] Kamiński M. (2013): The Stochastic Perturbation Method for Computational Mechanics. – Chichester: Wiley.
• [3] Waarts P.H. and Vrouwenvelder A.C.W.M. (1999): Stochastic finite element analysis of steel structures. – Journal of Constructional Steel Research, vol.52, pp.21-32.
• [4] Ellobody E. (2011): Interaction of buckling modes in castellated steel beams. – Journal of Constructional Steel Research, vol.67, pp.814–825.
• [5] Graham L.L. and Siragy E.F. (2001): Stochastic finite-element analysis for elastic buckling of stiffened panels. – Journal of Engineering Mechanics, vol.127, pp.91-97.
• [6] Sadovský Z. and Drdácký M. (2001): Buckling of plate strip subjected to localized corrosion – A stochastic model. – Journal of Thin-Walled Structures, vol.39, pp.247-259.
• [7] Papadopoulos V., Stefanou G. and Papadrakakis M. (2009): Buckling analysis of imperfect shells with stochastic non-Gaussian material and thickness properties. – International Journal of Solids and Structures, vol.46, pp.2800-2808.
• [8] Steinböck A., Jia X., Höfinger G., Rubin H. and Mang H.A. (2008): Remarkable postbuckling paths analyzed by means of the consistently linearized eigenproblem. – International Journal for Numerical Methods in Engineering, vol.76, pp.156-182.
• [9] Kalos M.H. and Whitlock P.A. (1986): Monte Carlo Methods. – New York: Wiley.
• [10] PN-EN 1993-1-2:2005 Eurocode 3: Design of steel structures - Part 1-2: General rules. Structural fire design.
• [11] Kleiber M. and Hien T.D. (1992): The Stochastic Finite Element Method. – Chichester: Wiley.
• [12] Elishakoff I. (2000): Uncertain buckling: its past, present and future. – International Journal of Solids and Structures, vol.37, pp.6869-6889.
• [13] Øksendal B. (2003): Stochastic Differential Equations. – Berlin-Heidelberg: Springer, 6th edition.
• [14] Kamiński M. and Świta P. (2011): Generalized Stochastic Finite Element Method in elastic stability problems. – Computers and Structures, vol.89, pp.1241-1252.
• [15] Cornell C.A. (1969): A First-Order Reliability Theory for Structural Design. Study 3. Structural Reliability and Codified Design. – Ontario: University of Waterloo.
• [16] Bathe K.J. (1996): Finite Element Procedures. – Prentice Hall, Englewood Cliffs.
• [17] Zienkiewicz O.C. and Taylor R.L. (2005): The Finite Element Method for Solid and Structural Mechanics. – 6th ed.. Elsevier, Butterworth–Heinemann, Amsterdam.
• [18] Kamiński M. and Świta P (2011): Reliability modeling in some elastic stability problems via the Generalized Stochastic Finite Element Method. – Archives of Civil Engineering, vol.57, No.3, pp.275-295.
• [19] Bendat J.S. and Piersol A.G. (1971): Random Data: Analysis and Measurement Procedures. – New York: Wiley.

Uwagi

PL

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