Abstract
The structural behavior of ground supported upright cylindrical fluid tank subjected to lateral excitations due to the seismic effects is presented by considering both below and convective resonance scenarios using the FSI approach. The study of seismic response has been carried out at an actual scale on a typical API Tank of 23,000 gallons capacity. In response to seismic excitations with peak acceleration of 0.3 g, the sloshing phenomena have been studied at three fill levels. For minimizing the roof stresses in the API tank due to seismic sloshing, the roof design is modified by varying roof angles starting from flat to 30° conical roof angles with an increment of 10°. It is found that for flat roof steel tank operating at convective resonance, stress increases exponentially with the fill level resulting in tank yielding. To increase tank seismic resistance, a self-supported conical roof (SSCR) of various angles is considered. The effect of variation of SSCR angle and slenderness ratio on structural response has been studied. Using the design by analysis approach, empirical relationships for estimation of tank structural strength (TSS) and total deformations have been proposed. It is concluded that the TSS is increased up to 6 times by selecting an appropriate conical roof (30°).
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References
Park, J.H.; Bae, D.; Oh, C.K.: Experimental study on the dynamic behavior of a cylindrical liquid storage tank subjected to seismic excitation. Int. J. Steels Struct. 16(3), 935–945 (2016)
Malhotra, P.K.; Wenk, T.; Wieland, M.: simple procedure for seismic analysis of liquid-storage tanks. Struct. Eng. Int. 10(3), 197–201 (2000)
Jaiswal, O.R., Kulkarni, S., Pathak, P.: A study on sloshing frequencies of fluid-tank system. In: The 14th World Conference on Earthquake Engineering, October 12–17, Beijing, China (2008)
Jerath, S.; Lee, M.: Stability analysis of cylindrical tanks under static and earthquake loading. J. Civil Eng. Arch. 9, 72–79 (2015)
Housner, G.W.: The dynamic behavior of water tanks. Bull. Seismol. Soc. Am. 53(2), 381–387 (1963)
Kotrasova, K., Kormanikova, E.: Seismic effect of height of fluid filling on storage cylindrical container. WSEAS Trans. Fluid Mech. 12, (2017)
Eurocode 8: Design Provisions for Earthquake Resistance of Structures, Part 1—General Rules and Part 4-Silos, Tanks, and Pipelines. European Committee for Standardization, Brussels (1998)
Veletsos, A.S.: Seismic response and design of liquid storage tanks. In: Guidelines for the Seismic Design of Oil and Gas Pipeline Systems, pp. 255–370. ASCE, New York (1984)
Veletsos, A. S.; Yang, J. Y.: Earthquake response of liquid storage tanks. Proceedings of the Second Engineering Mechanics Specialty Conference, pp. 1–24. ASCE, Raleigh (1977)
Haroun, M. A.; Housner, G. W.: Seismic design of liquid-storage tanks. In: Journal of Technical Councils, Vol. 107, No. 1, pp. 191–207. ASCE, New York (1981)
Kotrasova, K.; Kormanikova, E.: The study of seismic response on accelerated container fluid. Adv. Math. Phys. 2017, 9 (2017)
Sivý, M.; Musil, M.: Seismic resistance of storage tanks containing liquid in accordance with principles of eurocode 8 standard. J. Mech. Eng. 66(2), 79–88 (2016)
Çelİk, A.İ; Köse, M.M.; Akgül, T.; Alpay, A.C.: Directional deformation analysis of cylindrical steel water tanks subjected to EL-Centro earthquake loading. Sigma J Eng Nat Sci 36(4), 1033–1046 (2018)
Zhao, C.; Chen, J.; Wang, J.; Yu, N.; Xu, Q.: Seismic mitigation performance and optimization design of NPP water tank with internal ring baffles under earthquake loads. Nucl. Eng. Des. 318, 182–201 (2017)
Manser, W.S.; Touati, M.; Barros, R.C.: The maximum sloshing wave height evaluation in cylindrical metallic tanks by numerical means. MATEC Web Conf. 95, 4–8 (2017)
Hajimehrabi, H.; Behnamfar, F.; Samani, A.K.; Goudarzi, M.A.: Fragility curves for baffled concrete cylindrical liquid-storage tanks. Soil Dyn. Earthq. Eng. 119, 187–195 (2019)
American Petroleum Institute, API Standard 650: Welded steel tanks for oil storage, Section: 195.132(b) (3), 11th edn. (2007)
Itstankcom: International TANK Service (2019). https://www.itstank.com/tankspecs/typical-api-650-tank-sizes
Goudarzi, M.A.; Sabbagh Yazdi, S.R.; Marx, W.: Investigation of sloshing damping in baffled rectangular tanks subjected to the dynamic excitation. Bull. Earthq. Eng. 8, 1055–1072 (2010)
Hosseini, M.; Vosoughifar, H.; Farshadmanesh, P.: Simplified dynamic analysis of sloshing in rectangular tanks with multiple vertical baffles. J. Water Sci. Res. 5(1), 19–30 (2013)
Ibrahim, R.A.: Liquid Sloshing Dynamics Theory and Application. Wayne State University Cambridge University Press (2005)
Nicolici, S.; Bilegan, R.M.: Fluid-structure interaction modeling of liquid sloshing phenomena in flexible tanks. Nucl. Eng. Des. 258, 51–56 (2013)
Butnaru, B.A.; Şandru, M.; Furiş, D.; Creţu, D.I.: The comparative analysis of hydrodynamic pressures in cylindrical tanks. Math. Model. Civil Eng. 12(3), 1–12 (2016)
Ansys Inc., User’s Manual for Ansys CFX (2009)
IITK-GSDMA Guidelines for Seismic Design of Liquid Storage Tanks. Indian Institute of Technology Kanpur, Kanpur (2007)
Legates, N.A.: Seismic design of circular liquid-containing structures. WIT Trans. Built Environ. 23, 373–391 (1996)
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Zulfiqar, Y., Hyder, M.J., Jehanzeb, A. et al. Structural Assessment of a Cylindrical Liquid Tank due to Shape Change of Roof during Sloshing Induced by Seismic Activity. Arab J Sci Eng 46, 8075–8085 (2021). https://doi.org/10.1007/s13369-021-05588-6
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DOI: https://doi.org/10.1007/s13369-021-05588-6