### ASSESSMENT OF SEISMIC INPUT ENERGY BY MEANS OF NEW DEFINITION AND THE APPLICATION TO EARTHQUAKE RESISTANT DESIGN

#### Abstract

A methodology for assessing the seismic input energy into structure (building) from earthquake (or seismic) excitation is proposed. The procedure is based on the energy balance of the structure and employs the earthquake intensity characteristic known as the specific energy density (SED) to estimate the maximum input energy. This energy is evaluated for the portion of earthquake record (accelerogram) where strong ground motion occurs (the interval between 5-95% accumulations of the Arias intensity). Comparison of the proposed approach in this paper and other proposals for assessing seismic input energy as a basis for energy-based seismic design methodology is presented. Since a critical condition to realize an energy-based seismic design is that the structure should have a rational relationship between damage/energy absorbed, the procedure establishes a relation between the seismic input energy into structure and strain, total cyclic displacement and low cycle fatigue. Seismic input energy obtained using this procedure is compared with results from other methods for assessment of seismic input energy. The procedure can useful especially, at the initial stage of design to provide the desired ductility to structure since it allows for evaluating the maximum input energy into structural system from any seismic excitation without recourse to dynamic analysis.

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Advanced structural concepts (2008). NONLIN - A computer program for nonlinear dynamic time-history analysis of single and multi-degree of freedom systems.

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

Ambraseys, N.N, Douglas, J. (2003). Near-ﬁeld horizontal and vertical earthquake ground motions. Soil Dynamics and Earthquake Engineering, 23, pp.1–18.

Amiri, G.G., Darzi, G.A, Amiri, J.V. (2008). Design elastic input energy spectra based on Iranian earthquakes. Canadian Journal of Civil Engineering, 35(6), pp. 635–646.

Anderson, J.C., Bertero, V.V. (2006). Use of Energy Concepts in Earthquake Engineering: A Historical Review. In: Proceedings of the 8th National Conference on Earthquake Engineering, San Francisco.

Benavent-Climent, A, Pujades, L.G., Lopez-Almansa, F. (2002). Design energy input spectra for moderate seismicity regions. Earthquake Engineering and Structural Dynamics, 31, pp. 1151–1172.

Benavent-Climent, A., Zahran, R. (2010). An energy-based procedure for assessment of seismic capacity of existing frames: Application to RC wide beam systems in Spain. Earthquake Engineering and Structural Dynamics, 30, pp. 354–367.

Benavent-Climent. A. (2007). An energy-based damage model for seismic response of steel structures. Earthquake Engineering and Structural Dynamics, 36, pp. 1049–1064.

Berg, G.V., Thomaides, S.S. (1960). Energy consumption by structures in strong- motion earthquakes. In: Proceedings of the second world conference on earthquake engineering, vol. 2, pp. 681–697.

Chai, Y.H. (2004). Incorporating low-cycle fatigue model into duration-dependent inelastic design spectra. Earthquake Engineering and Structural Dynamics, 34, pp. 83–96.

Chai. Y.H. (1995). Energy-based linear damage model for high-intensity seismic loading. Journal of Structural Engineering, 121(5), pp. 857–863.

Chou, C.C, Uang, C.M. (2000). Establishing absorbed energy spectra – an attenuation approach. Earthquake Engineering and Structural Dynamics, 29, pp. 1441–1455.

Decanini LD, Mollaioli F. (2001). An energy-based methodology for the seismic assessment of seismic demand. Soil Dynamics and Earthquake Engineering, 21, pp.113–137.

Decanini, L, Mollaoli, F. (1998). Formulation of Elastic Earthquake Input Energy Spectra. Earthquake Engineering and Structural Dynamics, 27, pp. 1503–1522.

Duma, G. (red.) (1995). Observations and lessons learned from the earthquake of the 12th December 1990 in south-east Sicily. In: Proceedings of the 10th european conference on earthquake engineering and structural dynamics, Vienna: Balkema.

Erberik, A, Sucuoglu, H. (2004). Seismic energy dissipation in deteriorating systems through low cycle fatigue. Earthquake Engineering and Structural Dynamics, 33, pp. 49–67.

Fajfar, P, Vidic, T. (1994). Consistent inelastic design spectra: hysteretic and input energy. Earthquake Engineering and Structural Dynamics, 23, pp. 523–537.

Fajfar, P. (1992). Equivalent ductility factors taking into account low-cycle fatigue. Earthquake Engineering and Structural Dynamics, 21, pp. 837–848.

Fajfar, P., Vidic, T., Fischinger, M. (1992). On energy demand and supply in SDOF systems. In: proceedings of the nonlinear seismic analysis and design of reinforced concrete buildings. Amsterdam: Elsevier, pp.41–61.

Hall, W.G. (1977). The capacity of extreme earthquake motions to damage structures. In Structural and Geotechnical Mechanics, a Volume Honoring Nathan M. Newmark. Prentice Hall, USA, pp.102–116.

Housner, G.W. (1956). Limit design of structures to resist earthquakes. In proceedings of the ﬁrst World Conference on Earthquake Engineering. Berkeley, California, pp. 1–12.

Ing+ (2006). Sovryemyenniy komplyeks programm dlya proyektirovaniya stroityel'nih konstrooktsiy [Modern complex of programs for structural design]. Available at: http://www.tech-soft.ru. (Accessed on: 12.10.2016) (in Russian)

Kato, B., Akiyama, H. (1975). Energy input and damages in structures subjected to severe earthquakes. Journal of Structural and Construction Engineering, 235, pp. 9–18. (in Japanese)

Khashaee, P. et al. (2003). Distribution of Earthquake Input Energy in Structures. NISTIR 6903. Gaithersburg: Building and Fire Research Laboratory National Institute of Standards and Technology Gaithersburg.

Krawinkler. H. (1998). Pros and cons of a pushover analysis of seismic performance evaluation. Engineering Structures, 20, pp. 452–464.

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

McCabe, S.L., Hall, W.J. (1989). Assessment of seismic structural damage. Journal of Structural Engineering, 115, pp. 2166–2183.

Priestley, M.J.N., Calvi, G.M., Kowalsky, M,J. (2007). Displacement-based seismic design of structures. IUSS Press.

Routman, Y.L. (1997). Pseudo rigidity method for solving the problem of limit equilibri-um of rigid-plastic constructions. University Weimar: IKM.

Rutman, Yu.L. (2012). Analiz nagroozhyennosti sooroozhyeniya na osnovye vyelichini enyergyetichyeskogo krityeriya intyensivnosti zyemlyetryasyeniya [Analysis of structure loading based on the magnitude of energy intensity criteria of earthquake]. Structural mechanics and calculation of structures, 2, pp. 61-63

Rutman, Yu.L., Shiwua, A.J. (2015). Otsyenka syeysmichyeskoy enyergii, postoopivshyey v ooproogoplastichyeskooyoo sistyemoo s odnoy styepyen'yoo svobodi [Evaluation of the seismic energy absorbed by elasto-plastic system with a single degree of freedom]. Vestnik grazhdanskikh ingenerov Bulletin of Civil Engineers, 2(49), pp. 64-74. (in Russian)

Safac, E. (2000). Characterization of seismic hazard and structural response by energy ﬂux. Soil Dynamics and Earthquake Engineering, 20, pp. 39–43.

Seismosoft (2013). SeismoSignal - A computer program for signal histories. Available at: www.seismosoft.com (accessed on: 12.10.2016)

Shiwua, .A.J. (2014). Analiz enyergyetichyeskih myetodov otsyenki syeysmichyeskoy enyergii, postoopivshyey v sistyemoo pri zyemlyetryasyenii [Analysis of energy methods for the evaluation of seismic energy absorbed by a system during earthquake]. Vestnik grazhdanskikh ingenerov [Bulletin of Civil Engineers], 6(47), pp. 96-103. (in Russian)

Simbort, S.E. (2012). Opredeleniye koeffitsiyenta reduktsii s uchetom dinamicheskikh kharakteristik seysmicheskikh vozdeystviy [Determination of the reduction coefficient taking into account dynamic characteristics of seismic effects]. Ph.D. thesis. St. Petersburg University of Architecture and Civil Engineering (in Russian)

Sucuoglu, H., Erberik, A. (2004). Energy-based hysteresis and damage for deteriorating systems. Earthquake Engineering and Structural Dynamics, 33, pp. 69–88.

Sucuoglu, H., Nurtug, A. (1995). Earthquake ground motion characteristics and seismic energy dissipation. Earthquake Engineering and Structural Dynamics, 24(9), pp. 1195–213.

Teran-Gilmore, A., Jirsa, J.O. (2005). A simple damage model for practical seismic design that accounts for low cycle fatigue. Earthquake Spectra, 21(3), pp. 803–832.

Teran-Gilmore, A., Jirsa, J.O. (2007). Energy demands for seismic design against low-cycle fatigue. Earthquake Engineering and Structural Dynamics, 36, pp. 383–404.

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

Zahrah, T.F., Hall, W.J. (1984). Earthquake energy absorption in SDOF systems. Journal of Structural Engineering, 110, pp. 1757–1772.

Zhu, T.J., Tso, W.K. (1992). Design of torsionally unbalanced structural systems based on code provisions II: strength distribution. Earthquake Engineering and Structural Dynamics, 21, pp. 629–44.

DOI: https://doi.org/10.23968/2500-0055-2016-1-4-26-35

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