An Intensity Measure for Seismic Input Energy Demand of Multi-Degree-of-Freedom Systems

Document Type: Research Papers

Authors

1 Department of Civil Engineering, University of Mazandaran, Babolsar, Iran

2 Faculty of Science and Engineering, Curtin University, Perth, Australia;

Abstract

Nonlinear dynamic analyses are performed to compute the maximum relative input energy per unit mass for 21 multi-degree-of-freedom systems (MDOF) with preselected target fundamental periods of vibration ranging from 0.2 to 4.0 s and 6 target inter-story ductility demands of 1, 2, 3, 4, 6, 8 subjected to 40 the earthquake ground motions. The efficiency of the several intensity measures as an index for damage potential of ground motion in MDOF systems are examined parametrically. To this end, the dispersion of normalized input energy by different intensity measures have been evaluated and compared. Results of this study show that using all intensity measures will result in a significant discrepancy in input energy spectra of MDOF systems, which are in most cases larger than 0.5 and even can take the value of 1.9 for some cases. This signifies that the evaluated intensity measures may not suitable for MDOF systems. A dimensionless intensity measure as a normalized energy index is proposed for MDOF systems subjected to far-fault earthquakes. It was demonstrated that the proposed normalized input energy values have smaller dispersion compared to those of the other indices for MDOF systems with all ranges of period and ductility ratio used.

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Akiyama, H. (1985). Earthquake-resistant limit state design for building, University of Tokyo Press Tokyo.

Amiri, J.V., Amiri, G.G. and Ganjavi B. (2008). “Seismic vulnerability assessment of multi-degree-of-freedom systems based on total input energy and momentary input energy responses”, Canadian Journal of Civil Engineering, 35(1), 41-56.

Vaseghi Amiri, J., Esmaeilnia, M. and Ganjavi B. (2017). “Evaluation of performance levels of Zipper-Braced frames using structural damage index”, Civil Engineering and Infrastructures Journal, 50(2), 353-374.

Arias, A. (1970). A measure of the earthquake intensity in seismic design for nuclear power plants, MIT Press: Cambridge, MA.

ASCE/SEI-7-16. (2016). Minimum design loads for buildings and other structures, American Society of Civil Engineers, Reston VA.

Benavent-Climent A., L´opez-Almansa F. and Bravo-Gonz´alez, D.A. (2010). “Design energy input spectra for moderate-to-high seismicity regions based on Colombian earthquakes”, Soil Dynamics and Earthquake Engineering, 30(11), 1129-1148.

Bradley B.A. (2012). “Empirical correlations between cumulative absolute velocity and amplitude- based ground motion intensity measures”, Earthquake Spectra, 28(1), 37-54.

Building and Housing Research Center (BHRC). (2013). Iranian code of practice for seismic resistant design of buildings, Standard No. 2800, 4th Edition.  

Campbell, K.W. and Bozorgnia Y. (2012). “A ground motion prediction equation for the horizontal component of cumulative absolute velocity (CAV) based on the PEER-NGA strong motion database”,Earthquake Spectra, 26(3), 635-650.

Cheng, Y., Lucchini, A. and Mollaioli, F. (2014). “Proposal of new ground-motion prediction equations for elastic input energy spectra”, Earthquake and Structures, 7(4), 485-510.

Cheng, Y., Lucchini, A. and Mollaioli, F. (2015). “Correlation of elastic input energy equivalent velocity spectral values”, Earthquake and Structures, 8(5), 957-976.

Chopra, A.K. (2016). Dynamics of Structures, Theory and Application in Earthquake Engineering, Pearson, 5th Edition.

EPRI. (1988). “A criterion for determining exceedance of the operating basis earthquake”,Electric Power Research Corporation, EPRC Report, 2848-16.

Fajfar, P., Vidic, T. and Fischinger, M. (1989). “Seismic design in medium- and long-period structures”, Earthquake Engineering and Structural Dynamics, 18, 1133-1144.

FEMA 356. (2000). Pre-standard and commentary for the seismic rehabilitation of buildings, USA Federal Emergency Management Agency.

FEMA 440. (2005). Improvement of nonlinear static seismic analysis procedures, Report No. FEMA 440, Federal Emergency Management Agency, prepared by Applied Technology Council.

Ganjavi, B. and Hao, H. (2012). “A parametric study on the evaluation of ductility demand distribution in multi-degree-of freedom systems considering soil–structure interaction effects”, Engineering Structures,43, 88-104.

Ganjavi, B. and Hao, H. (2013). “Optimum lateral load pattern for seismic design of elastic shear‐buildings incorporating soil-structure interaction effects”, Earthuake Engineering and Structural Dynamic, 42(6), 913-33.

Ganjavi, B., Hajirasouliha, I. and Bolourchi, A. (2016). “Optimum lateral load distribution for seismic design of nonlinear shear-buildings considering soil-structure interaction”, Soil Dynamic and Earthuake Engineering, 88, 356-368.

Hajirasouliha, I. and Pilakoutas, K. (2012), “General seismic load distribution for optimum performance-based design of shear-buildings, Journal of Earthquake Engineering, 16(4), 443-462.

Hernandez-Montes, E., Kwon, O. and Aschheim, M.A. (2004). “An energy based formulation for first and multiple mode nonlinear static (Pushover) analysis”,Journal of Earthquake Engineering, 8(1), 69-88.

Housner, G.W. (1956). “Limit design of structures to resist earthquakes”, Proceedings of the 1st World Conference on Earthquake Engineering California USA, 5, 1-13.

IBC-2015. (2015). International Building Code, ICC Birmingham AL.

Khashaee, P. (2004). “Energy-based seismic design and damage assessment for structures”, PhD Dissertation, Southern Methodist University, Dallas, Texas.

Kuwamura, H. and Galambos, T.V. (1989). “Earthquake load for structural reliability”, Journal of Structural Engineering, ASCE,115(6), 1446-1462.

Lopez-Almansa, F., Yazgan, A.U. and Benavent-Climent, A. (2013). “Design energy input spectra for high seismicity regions based on Turkish registers”, Bulletin of Earthquake Engineering, 11(4), 885-912.

Manfredi, Gaetano. (2001). “Evaluation of seismic energy demand”, Earthquake Engineering and Structural Dynamics, 30, 485-499.

Manoukas, G., Athannatopoulou, A. and Avramidis, I.  (2011). “Static pushover analysis based on energy equivalent SDOF system”, Earthquake Spectra, 27(1), 89-105.

Mezgebo, M.G. and Lui, E.M. (2017). “New methodology for energy-based seismic design of steel moment frames”, Earthquake Engineering and Engineering Vibration,16(1), 131-105.

Park, Y. and Ang, A. (1985). “Mechanistic seismic damage model for reinforced concrete”,Journal of Structural Engineering, 111(4), 722-739.

Shayanfar, M. and Rakhshanimehr Zare Bidoki, R. (2016). “An energy based adaptive pushover analysis for nonlinear static procedures”, Civil Engineering Infrastructures Journal, 49(2), 289-310.

Smith, R.S.H. and Tso, W.K. (2002). “Inconsistency of force-based design procedure”,Journal of Seismology and Earthquake Engineering, 4(1), 46-54.

Uang, C.M. and Bertero, V.V. (1990). “Evaluation of seismic energy in structures”, Earthquake Engineering and Structural Dynamics, 19(1), 77-90.

Zahrah, T.F. and Hall, W.J.  (1984). “Earthquake energy absorption in SDOF structures”, Journal of Structural Engineering, ASCE, 110(8), 1757-1772.