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Dynamic Analysis of Elevated Water Storage Tanks due to Ground Motions’ Rotational and Translational Components

  • Research Article - Civil Engineering
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Abstract

Rotational components of ground motion including rocking and torsional components have rarely been accounted for in designing and analyzing water storage tanks. In this paper, the effects of these components on the dynamic response of water storage tanks are studied. The rotational components of ground motion acceleration have been obtained using an improved approach from the corresponding available translational components based on the transversely isotropic elastic wave propagation and classical elasticity theories. Based on this approach, it becomes possible to consider the frequency-dependent wave velocities and incident wave angle to generate the rotational components. For this purpose, the translational components of four earthquakes have been selected to generate their relative rotational components based on SV and SH wave incidence. The translational and computed rotational motions were then applied to the concrete elevated water storage tank with different water elevations considering fluid–structure interaction using the finite element method. The linear responses of these structures considering the full six components of the ground motion show that the rotational components of ground motion can affect the displacement and reaction force of the structure, depending on the frequency of structure and predominant frequencies of translational and rotational components of ground motion.

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References

  1. National Building Code of Canada (NBC) (2010)

  2. Housner, G.W.: The dynamic behavior of water tanks. Bull. Seismol. Soc. Am. 53, 381–387 (1963)

    Google Scholar 

  3. American Concrete Institute, ACI, Committee 350. Seismic design of liquid containing concrete structures and commentary. ACI 350.3-06. Farmington Hills (MI, USA), Environmental engineering concrete structures (2006)

  4. American Concrete Institute, ACI, Committee 371. Guide for the analysis, design and construction of elevated concrete and composite steel-concrete water storage tanks. ACI 371R-08. Farmington Hills (MI, USA) (2008)

  5. Kana, D.D.; Dodge, E.E.: Design support modeling of liquid slosh in storage tanks subjected to seismic excitation. ASCE pp. 307–337 (1975)

  6. Attari, N.K.; Rofooei, F.R.: On lateral response of structures containing a cylindrical liquid tank under the effect of fluid–structure resonances. J. Sound Vib. (2008)

  7. Kalani Sarokolayi, L.; Navayi Neya, B.; Hosainalibegi, M.; Vaseghi Amiri, J.: Dynamic analysis of water tanks with interaction between fluid and structure. In: The 14th World Conference on Earthquake Engineering, Beijing (2008)

  8. Moslemi, M.; Kianoush, M.R.; Pogorzelski, W.: Seismic response of liguid-filled elevated tanks. J. Eng. Struct. 33, 2074–2084 (2011)

    Article  Google Scholar 

  9. Bielak, J.: Dynamic response of building foundation system. Earthq. Eng. Dyn. 6, 17–30 (1978)

  10. Gupta, V.K.; Trifunac, M.D.: Investigation of buildings response to translational and rotational earthquake excitations. Report No. CE 89-02. Department of Civil Engineering, University of Southern California (1989)

  11. Goul, R.K.; Chopra, A.K.:Dual-level approach for seismic design of asymmetric-plan buildings. ASCE J. Struct. Eng. 120, 161–179 (1994)

    Article  Google Scholar 

  12. Takeo, M.: Ground rotational motions recorded in near-source region of earthquakes. Geophys. Res. Lett. 25, 789–792 (1998)

    Article  Google Scholar 

  13. Awade, A.M.; Humar, J.L.:Dynamic response of buildings to ground motion. Can. J. Civil Eng. 11, 48–56 (1984)

    Article  Google Scholar 

  14. Ghayamghamian, M.R.; Nouri, G.R.; Igel, H.; Tobita, T.: The effect of torsional ground motion on structural response: code recommendation for accidental eccentricity. Bull. Seismol. Soc. Am. 99(2B), 1261–1270 (2009)

    Google Scholar 

  15. Newmark, N.M.: Torsion in symmetrical buildings. In: Proceedings of the 4th World Conference on Earthquake Engineering, Santiago, vol. 2, pp. A3.19–A3.32 (1969)

  16. Ghafory-Ashtiany, M.; Singh, M.P.: Structural response for six correlated earthquake components. Earthq. Eng. Struct. Dyn. 14, 103–119 (1986)

    Article  Google Scholar 

  17. Trifunac, M.D.: A method for synthesizing realistic strong ground motion. Bull. Seismol. Soc. Am. 61(6), 1730–1753 (1971)

    Google Scholar 

  18. Trifunac, M.D.: Preliminary empirical model for scaling Fourier amplitude spectra of strong ground acceleration in terms of earthquake magnitude, source to station distance and recording site condition. Bull. Seismol. Soc. Am. 66(4), 1343–1373 (1976)

    Google Scholar 

  19. Trifunac, M.D.: A note on rotational components of earthquake motions on ground surface for incident body waves. Soil Dyn. Earthq. Eng. 1, 11–19 (1982)

    Google Scholar 

  20. Lee, V.W.; Trifunac, M.D.: Torsional accelerograms. Soil Dyn. Earthq. Eng. 6, 75–89 (1985)

    Article  Google Scholar 

  21. Lee, V.W.; Trifunac, M.D.: Rocking strong earthquake accelerations. Soil Dyn. Earthq. Eng. 6, 75–89 (1987)

    Article  Google Scholar 

  22. Castellani, A.; Boffi, G.: Rotational components of the surface ground motion during an earthquake. Earthq. Eng. Struct. Dyn. 14, 751–767 (1986)

    Article  Google Scholar 

  23. Castellani, A.; Boffi, G.; On the rotational components of seismic motion. Earthq. Eng. Struct. Dyn. 18, 785–797 (1989)

    Article  Google Scholar 

  24. Li, H.-N.; Sun, L.-Y.; Wang, S.-Y.: Improved approach for obtaining rotational components of seismic motion. Nucl. Eng. Des. 232, 131–137 (2004)

    Article  Google Scholar 

  25. Lee, V.W.; Liang, L.:Rotational components of strong motion earthquakes. In: The 14th World Conference on Earthquake Engineering, Beijing (2008)

  26. Nouri, G.R.; Ghayamghamian, M.R.; Hashemifard, M.: A comparison among different methods in the evaluation of torsional ground motion. J. Iran Geophys. 4, 32–44 (2010)

    Google Scholar 

  27. Kalkan, E.; Graizer, V.: Coupled tilt and translational ground motion response spectra. J. Struct. Eng. 133(5), 609–619 (2007a)

  28. Kalkan, E.; Graizer, V.: Multi component ground motion response spectra for coupled horizontal, vertical, angular accelerations and tilt. ISET J. Earthq. Technol. 44(1), 259–284 (2007b)

  29. Lee, V.W.: Empirical scaling of strong motion response spectral amplitudes: a review. ISET J. Earthq. Technol. 44(1), 39–69 (2007)

    Google Scholar 

  30. Lee, V.W.; Trifunac, M.D.: Empirical scaling of rotational spectra of strong earthquake ground motion. Bull. Seismol. Soc. Am. 99(2B), 1378–1390 (2009)

    Google Scholar 

  31. Hamdi, M.A.; Ousset, Y.; Verchery, G.: A displacement method for the analysis of vibrations of coupled fluid-structure systems. Int. J. Numer. Methods Eng. 13(1), 139–150 (1978)

    Article  MATH  Google Scholar 

  32. Wilson, E.L.; Khalvati, M.: Finite elements for the dynamic analysis of fluid–solid systems. Int. J. Numer. Methods Eng. 19(11), 1657–1668 (1983)

    Article  MATH  Google Scholar 

  33. Ahmadi, M.T.; Navayi Neya, B.: Hydrodynamic interaction analysis of dam reservoir using Lagrangian approaches (in Persian). Int. J. Eng. Iran Univ. Sci. Technol. 6(1-b), 33–45 (1995)

    Google Scholar 

  34. Akkose, M.; Adanur, S.; Bayraktar, A.; Dumanoglu, A.S.: Elasto-plastic earthquake response of arch dams including fluid–structure interaction by the Lagrangian approach. Appl. Math. Model. 32, 2396–2412 (2008)

    Google Scholar 

  35. ANSYS. Theory Manual. In: Peter, K., (ed.). 12th edn. SAS IP, Inc, 1266 (1994)

  36. Livaoglu, R.; Dogangun, A.: Simplified seismic analysis procedures for elevated tanks considering fluid–structure–soil interaction. J. Fluids Struct. 22, 421–439 (2006)

    Article  Google Scholar 

  37. Livaoglu, R.; Dogangun, A.: Effect of foundation embedment on seismic behavior of elevated tanks considering fluid–structure–soil interaction. J. Soil Dyn. Earth. Eng. 27, 855–863 (2007)

    Article  Google Scholar 

  38. Mahmood, M.N.; Ahmed, S.Y.: Non-linear dynamic analysis of framed structures including soil-structure interaction effects. Arab. J. Sci. Eng. 33(1), 45–64 (2008)

    Google Scholar 

  39. Datta, T.K.: Seismic analysis of structures. Wiley, New York (2010)

    Book  Google Scholar 

  40. Sadd, M.H.: Elasticity, theory, applications and numerics. Academic Press, Elsevier (2009)

  41. El-Aidi, B.; Hall, J.F.: Nonlinear earthquake response of concrete gravity dams, part2: behavior. J. Earthq. Eng. Struct. Dyn. 18, 853–865 (1989)

    Article  Google Scholar 

  42. Hinton, E.; Rock, A.; Zienkiewicz, O.: A note on mass lumping and related processes in the finite element method. Int. J. Earthq. Eng. Struct. Dyn. 4, 245–249 (1976)

    Article  Google Scholar 

  43. Bayo, E.; Garcia de Jalon, J.; Serna, M. A.: A modified Lagrangian formulation for the dynamic analysis of constrained mechanical systems. Comput. Methods Appl. Mech. Eng. 71(2), 183–195 (1988)

    Article  MATH  MathSciNet  Google Scholar 

  44. Merriam, J.L.; Kraige, L.G.: Engineering mechanics-dynamic. 6th edn. Wiley, New York (2008)

  45. Al-Qaisia, A.A.: Non-linear dynamics of a rotating beam clamped with an attachment angle and carrying an inertia element. Arab. J. Sci. Eng. 29(1), 81–98 (2004)

    Google Scholar 

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Authors and Affiliations

  1. Department of Civil Engineering, Babol Noshirvani University of Technology, Babol, Iran

    L. Kalani Sarokolayi, B. Navayi Neya, H. R. Tavakoli & J. Vaseghi Amiri

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  1. L. Kalani Sarokolayi
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  2. B. Navayi Neya
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  3. H. R. Tavakoli
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  4. J. Vaseghi Amiri
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Correspondence to B. Navayi Neya.

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Kalani Sarokolayi, L., Navayi Neya, B., Tavakoli, H.R. et al. Dynamic Analysis of Elevated Water Storage Tanks due to Ground Motions’ Rotational and Translational Components. Arab J Sci Eng 39, 4391–4403 (2014). https://doi.org/10.1007/s13369-014-1042-6

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  • DOI: https://doi.org/10.1007/s13369-014-1042-6

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