Some reliability issues of the corrugated i-beam girder

• Autorzy: Sokołowski D , Kamiński M.
• Języki publikacji: EN

Abstrakty

EN

The main aim of this paper is reliability analysis of the corrugated-web I-girder carried out to verify its susceptibility to the random corrosion of the web and to make a comparison of the results of the first and of the second order reliability analysis. The methodology implemented in the study is based on the stochastic finite element method related to the generalized stochastic perturbation technique, where a discretization of the entire structure is carried out with four-node quadrilateral shell finite elements. This is numerically implemented using the FEM engineering system ROBOT and computer algebra system MAPLE, where all probabilistic procedures are programmed. The perturbation-based results are compared with these coming from the Monte-Carlo simulation and with an analytical solution obtained via symbolic integration carried out in MAPLE also. The indices of reliability are determined for the maximum deflections of the beam as the function of an input coefficient of variation of the web’s thickness whose meaning is the extent of a corrosion process.

Słowa kluczowe

EN

stochastic finite element method; perturbation method; reliability analysis; steel structures; weighted least squares method

PL

stochastyczna metoda elementów skończonych; metoda zaburzeń; analiza niezawodności; konstrukcja stalowa; ważona metoda najmniejszych kwadratów

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Engineering Transactions
• Rocznik: 2015
• Tom: Vol. 63, iss. 3
• Strony: 297--315
• Opis fizyczny: Bibliogr. 8 poz., rys., tab., wykr.

Twórcy

autor

Sokołowski D

• Technical University of Łódź Architecture and Environmental Engineering Faculty of Civil Engineering Al. Politechniki 6, 90-924 Łódź, Poland

autor

Kamiński M.

• Technical University of Łódź Architecture and Environmental Engineering Faculty of Civil Engineering Al. Politechniki 6, 90-924 Łódź, Poland

Bibliografia

• 1. Kamiński M., The stochastic perturbation method for computational mechanics, Wiley, Chichester, UK, 2013. SOME RELIABILITY ISSUES OF THE CORRUGATED I-BEAM GIRDER 315
• 2. Kleiber M., Hien T.D., The stochastic finite element method, Wiley, Chichester, UK, 1992.
• 3. Kottegoda K.T., Rosso R., Applied statistics for civil and environmental engineers, Blackwell, Chichester, UK, 2008.
• 4. Murzewski J., Reliability of engineering structures [in Polish], Arkady, Warszawa, Poland, 1989.
• 5. PN-EN 1993-1-5, Design of steel structures. Plated structural elements [in Polish], PKN, Warszawa, Poland, 2008.
• 6. Shon S.D., Mi N., Lee S.J., Discrete optimum design of sinusoidal corrugated web girder, Journal of Korean Society of Steel Construction, 24, 671–682, 2012.
• 7. Sokołowski D., Kamiński M., An introduction to SFEM reliability analysis of the corrugated steel I-beam girder, [in:] Proceedings of the Scientific Conference of IASS Polish Chapters XIX Lightweight Structures in Civil Engineering 2013, Contemporary Problems, Jan B. Obrębski, Olsztyn, Poland, 19, 119–126, 2013.
• 8. Zienkiewicz O., Taylor R., The finite element method for solid and structural mechanics, 6th ed., Elsevier, Amsterdam, Netherlands, 2005.