Accuracy assessment of linear elasticity solution for interaction of cylindrical tank with subsoil

• Autorzy: Lewiński Paweł Marek

Identyfikatory

DOI

10.24425/bpasts.2021.136039

• Języki publikacji: EN

Abstrakty

EN

The subject of this paper is an assessment of the accuracy of a solution based on the linear theory of elasticity describing the interaction of a cylindrical reinforced concrete tank with the subsoil. The subsoil was modelled in the form of an elastic half-space and Winkler springs. The behaviour of the shell structure of the RC cylindrical tank, and particularly of the ground slab interacting with the subsoil, depends largely on the distribution of the reactions on the foundation surface. An analysis of this structure with the shell fixed in a circular ground slab was carried out taking into consideration the elastic half-space model using the Gorbunov-Posadov approach and, for comparison, the two-parameter Winkler model. Although the results for both subsoil models proved to be divergent, the conclusions that follow the accuracy assessment of a solution based on the theory of elasticity are fairly important for engineering practice.

Słowa kluczowe

EN

RC tank; cylindrical tank; soil-structure interaction; theory of elasticity; Winkler model

PL

zbiornik cylindryczny; zbiornik żelbetowy; interakcja gleba-struktura; teoria sprężystości; model Winklera

• Wydawca: Polska Akademia Nauk, Wydział IV Nauk Technicznych
• Czasopismo: Bulletin of the Polish Academy of Sciences. Technical Sciences
• Rocznik: 2021
• Tom: Vol. 69, nr 1
• Strony: art. no. e136039
• Opis fizyczny: Bibliogr. 18 poz., rys., tab.

Twórcy

autor

Lewiński Paweł Marek

• Building Research Institute, ul. Filtrowa 1, 00-611 Warszawa, Poland

Bibliografia

• [1] H. Borowicka, “Pressure distribution under elastic plates“, Ing. Arch., X. Band, 113–125 (1939) [in German].
• [2] M.I. Gorbunov-Posadov, T.A. Malikova, and V.I. Solomin, Calculation of Structures on Elastic Foundation, Stroyizdat, Moskva, 1984 [in Russian].
• [3] P.M. Lewiński and M. Rak, “Soil-structure interaction of cylindrical water tanks with linearly varying wall thickness”, PCMCMM-2015: 3rd Pol. Congr. Mech. & 21st Comp. Meth. Mech., Gdańsk, Poland, 8‒11 September, 2015, vol. 2, pp. 921‒922.
• [4] P.M. Lewiński and M. Rak, “Soil-structure interaction of cylindrical tank of variable wall thickness under the thermal gradient conditions”, IOP Conf. Ser.: Mater. Sci. Eng. 661, 012044 (2019).
• [5] A.R. Kukreti, M.M. Zaman, and A. Issa, “Analysis of fluid storage tanks including foundation-superstructure interaction”, Appl. Math. Model. 17, 618‒631 (1993).
• [6] A.R. Kukreti and Z.A. Siddiqi, “Analysis of fluid storage tanks including foundation-superstructure interaction using differential quadrature method”, Appl. Math. Model. 21, 193‒205 (1997).
• [7] J.A. Hemsley (Ed.), Design Applications of Raft Foundations, Thomas Telford Publishing, London, 2000.
• [8] J.A. Hemsley, Elastic Analysis of Raft Foundations, Thomas Telford Publishing, London, 1998.
• [9] E.S. Melerski, Design Analysis of Beams, Circular Plates and Cylindrical Tanks on Elastic Foundations, Taylor & Francis Group, London, 2006.
• [10] J.S. Horvath and R.J. Colasanti, “Practical subgrade model for improved soil-structure interaction analysis: Model development”, Int. J. Geomech. 11(1), 59‒64 (2011).
• [11] N. el Mezaini, “Effects of soil-structure interaction on the analysis of cylindrical tanks”, Pract. Period. Struct. Des. Constr. 11(1), 50–57 (2006).
• [12] Z. Mistríková and N. Jendželovský, “Static analysis of the cylindrical tank resting on various types of subsoil”, J. Civ. Eng. Manag. 18(5), 744–751 (2012).
• [13] P. Lewiński, Analysis of Interaction of RC Cylindrical Tanks with Subsoil, Prace Naukowe ITB, Rozprawy, Wydawnictwa ITB, Warszawa, 2007 [in Polish].
• [14] Z. Kączkowski, Plates. Static Calculations, Arkady, Warszawa, 2000 [in Polish].
• [15] W. Flügge, Stresses in Shells, 2nd ed., Springer, Berlin, Heidelberg, 1973.
• [16] Z.E. Mazurkiewicz and T. Lewiński (Ed.), Thin Elastic Shells, Oficyna Wydawnicza Politechniki Warszawskiej, Warszawa, 2004 [in Polish].
• [17] E. Szewczak and A. Piekarczuk, “Performance evaluation of the construction products as a research challenge. Small error – big difference in assessment?”, Bull. Pol. Ac.: Tech. Sci. 64(4), 675– 686 (2016).
• [18] P.M. Lewiński and S. Dudziak, “Nonlinear interaction analysis of RC cylindrical tank with subsoil by adopting two kinds of constitutive models for ground and structure”, Amer. Inst. Phys., AIP Conf. Proc. 1922, 130007 (2018).

Uwagi

Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2021).