Stability analysis of the single-layer dome in probabilistic description by the Monte Carlo method

• Autorzy: Zabojszcza Paweł , Radoń Urszula

Identyfikatory

DOI

10.15632/jtam-pl/118950

• Języki publikacji: EN

Abstrakty

EN

The paper shows the application of the Monte Carlo method to the stability analysis of a single-layer shallow (h/d = 0.04) dome modelled with frame elements. Structures of this type are characterized by strong nonlinearity, consequently, they are extremely susceptible to stability loss resulting from the node snap-through. It is necessary to perform a nonlinear stability analysis that allows determination of limit points related to that mode of stability failure. This paper shows that with the reliability analysis methods, it is possible to trace the failure probability level while moving along the load-displacement path towards the limit point.

Słowa kluczowe

EN

stability; frame structure; single-layer domes; reliability index; Monte Carlo; method

• Wydawca: Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
• Czasopismo: Journal of Theoretical and Applied Mechanics
• Rocznik: 2020
• Tom: Vol. 58 nr 2
• Strony: 425--436
• Opis fizyczny: Bibliogr. 19 poz., rys., tab.

Twórcy

autor

Zabojszcza Paweł

• Kielce University of Technology, Faculty of Civil Engineering and Architecture, Kielce, Poland

autor

Radoń Urszula

• Kielce University of Technology, Faculty of Civil Engineering and Architecture, Kielce, Poland

Bibliografia

• 1. Chodor L., 2019, Mesh dome, http://www.chodor-projekt.net/... (available online 14.11.2019).
• 2. Giżejowski M., Ziółko J. (Edit.), 2010, General Construction, Steel Constructions of Buildings. Design According to Eurocodes with Examples of Calculations (in Polish), Volume 5, Arkady, Warsaw.
• 3. Kacprzyk Z., Pawłowska B., 1999, Generator of spatial structures (in Polish), Computer Methods in Civil Engineering, 5, 19-33.
• 4. Kato S., Mutoh I., Shomura M., 1998, Collapse of semi-rigidly jointed reticulated domes with initial geometrical imperfections, Journal of Constructional Steel Research, 48, 2-3, 145-168.
• 5. Kleiber M., 1982, Some results in the numerical analysis of structural instabilities. Part 1 Statics, Engineering Transactions, 30, 327-352.
• 6. Kowalczyk P., Rojek J., Stocki R., Bednarek T., Tauzowski P., Lasota R., Lumelskyy D., Wawrzyk K., 2014, NUMPRESS – integrated computer system for analysis and optimization of industrial sheet metal forming processes, Hutnik – Wiadomości Hutnicze, ISSN: 1230-3534, 81, 1, 56-63.
• 7. Liu H., Zhang W., Yuan H., 2016, Structural stability analysis of single-layer reticulated shells with stochastic imperfection, Engineering Structures, 124, 473-479.
• 8. Lógó J., Movahedi Rad M., Knabel J., Tauzowski P., 2011, Reliability based design of frames with limited residual strain energy capacity, Periodica Polytechnica Civil Engineering, 55, 1, 13-20.
• 9. Luca B., Sassone M., Venuti F., 2016, Effects of the equivalent geometric nodal imperfection on the stability of single layer grid shells, Engineering Structures, 112, 184-199.
• 10. Marcinowski J., 2017, Stability of Elastic Structures (in Polish), Dolnośląskie Wydawnictwo Edukacyjne.
• 11. Mochocki W., Radoń U., 2019, Analysis of basic failure scenarios of a truss tower in a probabilistic approach, Applied Sciences, 9, 13, 2662, 417-427.
• 12. Numpress Computer System, http://www.numpress.ippt.pan.p... (available online 14.11.2019).
• 13. PN-EN 1990. Eurocode 0: Basis of structural design.
• 14. PN-EN 1993-1-1. Eurocode 3: Design of steel structures. Part 1-1: General rules and rules for buildings.
• 15. Rubinstein R.Y., 1981, Simulation and the Monte Carlo Method, Wiley.
• 16. Thompson J.M.T, Hunt G.W., 1973, A General Theory of Elastic Stability, Wiley & Sons.
• 17. Waszczyszyn Z., Cichoń Cz., Radwańska M., 1994, Stability of Structures by Finite Element Methods, Elsevier.
• 18. Zabojszcza P., Radoń U., 2019a, Effect of increased density on nodes in geodesic dome on its critical load capacity, IOP Conference series – Materials Science and Engineering, 471, DOI: 10.1088/1757-899X/471/5/052051.
• 19. Zabojszcza P., Radoń U., 2019b, The impact of node location imperfections on the reliability of single-layer steel domes, Applied Sciences, 9, 2742.

Uwagi

Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2020).