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The effects of foundation uplift on seismic response of diagonally braced steel frames

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Abstract

The foundation of buildings commonly assumed to be fixed in practical seismic response analysis. However, in severe earthquake loadings, the uplift phenomenon would be occurred due to the lack of tensile strength in the subsoil. This research aims to investigate this nonlinear phenomenon to obtain the actual behavior of diagonally braced steel frames. For this purpose, four 4-, 8-, 12-, and 15-story X-braced frames are modeled in the software framework of OpenSees. Some key parameters such as the natural period of vibration, inter-story drift ratio, base-shear force, the axial force along with the plastic deformation of braces are examined in two cases consist of fully and partially restrained supports. In the latter case, gap link elements (no tension behavior) are employed to model the soil–structure interaction (SSI). Overall, the results showed that by occurring the uplift the first period and inter-story drifts of the structure are increased; while, the base-shear, axial force and plastic deformation of braces will be reduced.

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References

  • Acikgoz, S., & DeJong, M. J. (2012). The interaction of elasticity and rocking in flexible structures allowed to uplift. Earthquake Engineering and Structural Dynamics,41(15), 2177–2194.

    Google Scholar 

  • Adib, A., & Ashofteh, A. (2013). Geotechnical & foundation engineering studies of additional structures of phase 12 of south pars gas (Tombak region). Journal of Basic and Applied Scientific Research (JBASR), 3(9), 662–684.

    Google Scholar 

  • AISC Committee. (2010). Specification for structural steel buildings (ANSI/AISC 360-10). Chicago: American Institute of Steel Construction.

    Google Scholar 

  • Apostolou, M., Gazetas, G., & Garini, E. (2007). Seismic response of slender rigid structures with foundation uplifting. Soil Dynamics and Earthquake Engineering,27(7), 642–654.

    Article  Google Scholar 

  • ASCE 7-16. (2016). Minimum design loads for buildings and other structures. American Society of Civil Engineers Standard.

  • ASCE 41-13. (2013). Seismic evaluation and retrofit of existing buildings. American Society of Civil Engineers Standard.

  • ATC 40. (1996). Evaluation and retrofit of concrete buildings. Appl Technol Counc Redw City.

  • Bouc, R. (1971). A mathematical model for hysteresis. Acta Acustica united with Acustica,24(1), 16–25.

    Google Scholar 

  • BSSC (US). (1997). Council AT. In NEHRP guidelines for the seismic rehabilitation of buildings, Vol 1. Federal Emergency Management Agency.

  • Chopra, A. K., & Yim, S. C. (1985). Simplified earthquake analysis of structures with foundation uplift. Journal of Structural Engineering,111(4), 906–930.

    Article  Google Scholar 

  • Deierlein, G. G., Reinhorn, A. M., & Willford, M. R. (2010). Nonlinear structural analysis for seismic design. NEHRP Seismic Design Technical Brief,4, 1–36.

    Google Scholar 

  • DIN EN ISO 17100. (2016). Steels for general structural purposes. Deutsches Institut Fur Normung E.V. (German National Standard).

  • FEMA 356. (2000). Commentary for the seismic rehabilitation of buildings. FEMA-356, Fed Emerg Manag Agency, Washington, DC.

  • Gajan, S., Kutter, B. L., Phalen, J. D., Hutchinson, T. C., & Martin, G. R. (2005). Centrifuge modeling of load-deformation behavior of rocking shallow foundations. Soil Dynamics and Earthquake Engineering,25(7–10), 773–783.

    Article  Google Scholar 

  • Gazetas, G., Anastasopoulos, I., Adamidis, O., & Kontoroupi, T. (2013). Nonlinear rocking stiffness of foundations. Soil Dynamics and Earthquake Engineering,47, 83–91.

    Article  Google Scholar 

  • Gerolymos, N., & Gazetas, G. (2006). Development of Winkler model for static and dynamic response of caisson foundations with soil and interface nonlinearities. Soil Dynamics and Earthquake Engineering,26(5), 363–376.

    Article  Google Scholar 

  • Harden, C., Hutchinson, T., & Moore, M. (2006). Investigation into the effects of foundation uplift on simplified seismic design procedures. Earthquake Spectra,22(3), 663–692.

    Article  Google Scholar 

  • Haselton, C. B., Whittaker, A. S., Hortacsu, A., Baker, J. W., Bray, J., & Grant, D. N. (2012). Selecting and scaling earthquake ground motions for performing response-history analyses. In Proceedings of the 15th World Conference on Earthquake Engineering (pp. 4207–4217).

  • Hillmer, P., & Schmid, G. (1988). Calculation of foundation uplift effects using a numerical Laplace transform. Earthquake Engineering and Structural Dynamics,16(6), 789–801.

    Article  Google Scholar 

  • Hu, Y. X., Liu, S. C., & Dong, W. (2014). Earthquake engineering. Boca Raton: CRC Press.

    Google Scholar 

  • Hu, J., Ma, F., & Wu, S. (2018). Anomaly identification of foundation uplift pressures of gravity dams based on DTW and LOF. Structural Control and Health Monitoring,25(5), 1–20.

    Article  Google Scholar 

  • Hung, H. H., Liu, K. Y., Ho, T. H., & Chang, K. C. (2011). An experimental study on the rocking response of bridge piers with spread footing foundations. Earthquake Engineering and Structural Dynamics,40(7), 749–769.

    Article  Google Scholar 

  • Ibarra, L. F., Medina, R. A., & Krawinkler, H. (2005). Hysteretic models that incorporate strength and stiffness deterioration. Earthquake Engineering and Structural Dynamics,34(12), 1489–1511.

    Article  Google Scholar 

  • Ishiyama, Y. (1982). Motions of rigid bodies and criteria for overturning by earthquake excitations. Earthquake Engineering and Structural Dynamics,10(5), 635–650.

    Article  Google Scholar 

  • Jafarieh, A. H., & Ghannad, M. A. (2014). The effect of foundation uplift on elastic response of soil-structure systems. International Journal of Civil Engineering, Transaction A: Civil Engineering,12(2), 244–256.

    Google Scholar 

  • Jangid, R. S. (2014). Introduction to earthquake engineering. National Programme on Technology Enhanced Learning (NPTEL).

  • Khoshnoudian, F., Shahreza, M., & Paytam, F. (2012). P-delta effects on earthquake response of structures with foundation uplift. Soil Dynamics and Earthquake Engineering,34(1), 25–36.

    Article  Google Scholar 

  • Mazzoni, S., McKenna, F., Scott, M. H., & Fenves, G. L. (2006). OpenSees command language manual. Pacific Earthquake Engineering Research (PEER) Center, 264.

  • Muto, K., Umemura, H., & Sonobe, Y. (1960). Study of the overturning vibrations of slender structures. In Proceedings of the 2nd world conference on earthquake engineering (Vol. 2, pp. 1239–1261).

  • O’Donnell, A. P., Kurama, Y. C., Kalkan, E., Taflanidis, A. A., & Beltsar, O. A. (2013). Ground motion scaling methods for linear-elastic structures: An integrated experimental and analytical investigation. Earthquake Engineering and Structural Dynamics,42(9), 1281–1300.

    Article  Google Scholar 

  • Oliveto, G., Calio, I., & Greco, A. (2003). Large displacement behavior of a structural model with foundation uplift under impulsive and earthquake excitations. Earthquake Engineering and Structural Dynamics,32(3), 369–393.

    Article  Google Scholar 

  • Pacific Earthquake Engineering Research Center (PEER). Berkeley. http://peer.berkeley.edu/. Accessed 16 Jan 2020.

  • Psycharis, I. N. (1991). Effect of base uplift on dynamic response of SDOF structures. Journal of Structural Engineering,117(3), 733–754.

    Article  Google Scholar 

  • Psycharis, I. N., & Jennings, P. C. (1983). Rocking of slender rigid bodies allowed to uplift. Earthquake Engineering and Structural Dynamics,11(1), 57–76.

    Article  Google Scholar 

  • Qin, X., Chen, Y., & Chouw, N. (2013). Effect of uplift and soil nonlinearity on plastic hinge development and induced vibrations in structures. Advances in Structural Engineering,16(1), 135–147.

    Article  Google Scholar 

  • Qin, X., & Chouw, N. (2010). Experimental investigation of uplift effect on structures in earthquakes. In Proceedings, New Zealand Society for earthquake engineering conference, paper (Vol. 14).

  • Schneider-Bürger, M. (2001). Stahlbau Profile. Auflage, Verlag Stahleisen, D{ü}sseld (in Ger.).

  • Spanos, P. D., & Koh, A. S. (1986). Analysis of block random rocking. Soil Dynamics and Earthquake Engineering,5(3), 178–183.

    Article  Google Scholar 

  • Thyagarajan, R. S. (1990). Modeling and analysis of hysteretic structural behavior. Doctoral dissertation, California Institute of Technology

  • Van, A. M., Koelewijn, A. R., & Barends, F. B. J. (2005). Uplift phenomenon: Model, validation, and design. International Journal of Geomechanics,5(2), 98–106.

    Article  Google Scholar 

  • Vassiliou, M. F., Mackie, K. R., & Stojadinović, B. (2014). Dynamic response analysis of solitary flexible rocking bodies: Modeling and behavior under pulse-like ground excitation. Earthquake Engineering and Structural Dynamics,43(10), 1463–1481.

    Article  Google Scholar 

  • Wang, G. B., Zhou, X., Ma, X. F., & Wu, J. (2017). Numerical study on the seismic response of structure with consideration of the behavior of base mat uplift. Shock and Vibration, 2017, 2030462.

    Google Scholar 

  • Wen, Y. K. (1976). Method for random vibration of hysteretic systems. Journal of the Engineering Mechanics Division,102(2), 249–263.

    Google Scholar 

  • Xu, C., & Spyrakos, C. C. (1996). Seismic analysis of towers including foundation uplift. Engineering Structures,18(4), 271–278.

    Article  Google Scholar 

  • Yim, C. S., & Chopra, A. K. (1983). Effects of transient foundation uplift on earthquake response of structures, University of California, Earthquake Engineering Research Center.

  • Yim, C. S., & Chopra, A. K. (1984). Earthquake response of structures with partial uplift on Winkler foundation. Earthquake Engineering and Structural Dynamics,12(2), 263–281.

    Article  Google Scholar 

  • Yim, S. C., & Chopra, A. K. (1985). Simplified earthquake analysis of multistory structures with foundation uplift. Journal of Structural Engineering,111(12), 2708–2731.

    Article  Google Scholar 

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Correspondence to M. Jalili Sadr Abad.

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Mahmoudi, M., Hoodinshad, M. & Jalili Sadr Abad, M. The effects of foundation uplift on seismic response of diagonally braced steel frames. Asian J Civ Eng 21, 885–902 (2020). https://doi.org/10.1007/s42107-020-00247-x

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