BibTex RIS Cite

Hysteretic Energy Demand in SDOF Structures Subjected to an Earthquake Excitation: Analytical and Empirical Results

Year 2018, Volume: 22 Issue: 2, 364 - 374, 15.08.2018

Taner Uçar , Onur Merter

https://doi.org/10.19113/sdufbed.84512
Cited By: 3

Abstract

In energy-based seismic design approach, earthquake ground motion is considered as an energy input to structures. The earthquake input energy is the total of energy components such as kinetic energy, damping energy, elastic strain energy and hysteretic energy, which contributes the most to structural damage. In literature, there are many empirical formulas based on the hysteretic model, damping ratio and ductility in order to estimate hysteretic energy, whereas they do not directly consider the ground motion characteristics. This paper uses nonlinear time history (NLTH) analysis for energy calculations and presents the distribution of earthquake input energy and hysteretic energy of single-degree-of-freedom (SDOF) systems over the ground motion duration. Seven real earthquakes recorded on the same soil profile and three different bilinear SDOF systems having constant ductility ratio and different natural periods are selected to perform NLTH analyses. As results of nonlinear dynamic analyses, input and hysteretic energies per unit masses are graphically obtained. The hysteretic energy to input energy ratio (EH/EI) is investigated, as well as the ratio of other energy components to energy input. EH/EI ratios of NLTH analysis are compared to the results of empirical approximations related EH/EI ratio and a reasonable agreement is observed. The average of EH/EI ratio is found to be between 0.468 and 0.488 meaning nearly half of the earthquake energy input is dissipated through the hysteretic behavior.

Keywords

Earthquake ground motion Hysteretic energy; Input energy; NLTH analysis; SDOF system; Hysteretic energy to input energy ratio

References

  • [1] Housner, G.W. 1956. Limit Design of Structures to Resist Earthquakes. Proceedings of the 1st World Conference on Earthquake Engineering, Berkeley, CA, 186-198.
  • [2] Zahrah, T.F., Hall, W.J. 1984. Earthquake Energy Absorption in SDOF Structures. Journal of Structural Engineering, 110(8), 1757-1772.
  • [3] Akiyama, H. 1985. Earthquake Resistant Limit State Design for Buildings. University of Tokyo Press, Japan.
  • [4] Kuwamura, H., Galambos, T.V. 1988. Earthquake Load for Structural Reliability. Journal of Structural Engineering, 115(6), 1446-1462.
  • [5] Uang, C.M., Bertero, V.V. 1990. Evaluation of Seismic Energy in Structures. Earthquake Engineering & Structural Dynamics, 19(1), 77-90.
  • [6] Fajfar, P. 1992. Equivalent Ductility Factors, Taking into Account Low-Cycle Fatigue. Earthquake Engineering & Structural Dynamics, 21(10), 837-848.
  • [7] Rodriguez, M. 1994. A Measure of the Capacity of Earthquake Ground Motions to Damage Structures. Earthquake Engineering & Structural Dynamics, 23(6), 627-643.
  • [8] Chai, Y.H., Fajfar, P., Romstad, K.M. 1998. Formulation of Duration-Dependent Inelastic Seismic Design Spectrum. Journal of Structural Engineering, 124(8), 913-921.
  • [9] Tso, W.K., Zhu, T.J., Heidebrecht, A.C. 1993. Seismic Energy Demands on Reinforced Concrete Moment-Resisting Frames. Earthquake Engineering & Structural Dynamics, 22(6), 533-545.
  • [10] Sucuoǧlu, H., Nurtuğ, A. 1995. Earthquake Ground Motion Characteristics and Seismic Energy Dissipation. Earthquake Engineering & Structural Dynamics, 24(9), 1195-1213.
  • [11] Nakashima, M., Saburi, K., Tsuji, B. 1996. Energy Input and Dissipation Behaviour of Structures with Hysteretic Dampers. Earthquake Engineering & Structural Dynamics, 25(5), 483-496.
  • [12] Goel, R.K. 1997. Seismic Response of Asymmetric Systems: Energy-Based Approach. Journal of Structural Engineering, 123(11), 1444-1453.
  • [13] Shen, J., Akbaş, B. 1999. Seismic Energy Demand in Steel Moment Frames. Journal of Earthquake Engineering, 3(04), 519-559.
  • [14] Ye, L., Otani, S. 1999. Maximum Seismic Displacement of Inelastic Systems Based on Energy Concept. Earthquake Engineering & Structural Dynamics 28(12), 1483-1499.
  • [15] Akbas, B., Shen, J., Hao, H. 2001. Energy Approach in Performance-Based Seismic Design of Steel Moment Resisting Frames for Basic Safety Objective. The Structural Design of Tall Buildings, 10(3), 193-217.
  • [16] Decanini, L. D., Mollaioli, F. 2001. An Energy-Based Methodology for the Assessment of Seismic Demand. Soil Dynamics and Earthquake Engineering, 21(2), 113-137.
  • [17] Wong, K.K.F., Yang, R. 2002. Earthquake Response and Energy Evaluation of Inelastic Structures. Journal of Engineering Mechanics, 128(3), 308-317.
  • [18] Chou, C.C., Uang, C.M. 2003. A Procedure for Evaluating Seismic Energy Demand of Framed Structures. Earthquake Engineering & Structural Dynamics, 32(2), 229-244.
  • [19] Wong, K.K. 2004. Inelastic Seismic Response Analysis Based on Energy Density Spectra. Journal of Earthquake Engineering, 8(2), 315-334.
  • [20] Chai, Y.H. 2005. Incorporating Low-Cycle Fatigue Model into Duration-Dependent Inelastic Design Spectra. Earthquake Engineering & Structural Dynamics, 34(1), 83-96.
  • [21] Kalkan, E., Kunnath, S.K. 2008. Relevance of Absolute and Relative Energy Content in Seismic Evaluation of Structures. Advances in Structural Engineering, 11(1), 17-34.
  • [22] Lei, C., Xianguo Y., Kangning L. 2008. Analysis of Seismic Energy Response and Distribution of RC Frame Structures. Proceedings of the 14th World Conference on Earthquake Engineering, October 12-17, Beijing, China.
  • [23] Ye, L., Cheng, G., Qu, Z. 2009. Study on Energy-Based Seismic Design Method and Application on Steel Braced Frame Structures. Proceedings of the 6th International Conference on Urban Earthquake Engineering, March 3-4, Tokyo Institute of Technology, Tokyo, Japan, 417-428.
  • [24] Kazantzi, A.K., Vamvatsikos, D. 2012. A Study on the Correlation Between Dissipated Hysteretic Energy and Seismic Performance. Proceedings of the 15th World Conference on Earthquake Engineering, September 24-28, Lisbon, Portugal.
  • [25] Mezgebo, M.G. 2015. Estimation of earthquake input energy, hysteretic energy and its distribution in MDOF structures. Syracuse University, PhD Dissertation, 274 p, Syracuse, New York.
  • [26] Dogru, S., Aksar, B., Akbas, B., Shen, J., Seker, O., Wen, R. 2016. Seismic Energy Demands in Steel Moment Frames. Applied Mechanics and Materials, 847, 210-221.
  • [27] Donaire-Ávila, J., Benavent-Climent, A., Lucchini, A., Mollaioli, F. 2017. Energy-Based Seismic Design Methodology: A Preliminary Approach. Proceedings of the 16th World Conference on Earthquake Engineering, January 9-13, Santiago Chile, Paper No. 2106.
  • [28] Fajfar, P., Vidic, T., Fischinger, M. 1989. Seismic Design in Medium- and Long Period Structures. Earthquake Engineering & Structural Dynamics, 18(8), 1133-1144.
  • [29] Kuwamura, H., Kirino, Y., Akiyama, H. 1994. Prediction of Earthquake Energy Input from Smoothed Fourier Amplitude Spectrum. Earthquake Engineering & Structural Dynamics, 23(10), 1125-1137.
  • [30] Decanini, L.D., Mollaioli, F. 1998. Formulation of Elastic Earthquake Input Energy Spectra. Earthquake Engineering & Structural Dynamics, 27(12), 1503-1522.
  • [31] Chou, C.C., Uang, C.M. 2000. Establishing Absorbed Energy Spectra - An Attenuation Approach. Earthquake Engineering & Structural Dynamics, 29(10), 1441-1455.
  • [32] Benavent-Climent, A., Pujades, L.G., López-Almansa, F. 2002. Design Energy Input Spectra for Moderate-Seismicity Regions. Earthquake Engineering & Structural Dynamics, 31(5), 1151-1172.
  • [33] Kalkan, E., Kunnath, S.K. 2007. Effective Cyclic Energy as a Measure of Seismic Demand. Journal of Earthquake Engineering, 11(5), 725-751.
  • [34] Teran-Gilmore, A., Jirsa, J.O. 2007. Energy Demands for Seismic Design Against Low-Cycle Fatigue. Earthquake Engineering & Structural Dynamics, 36(3), 383-404.
  • [35] 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), 635-646.
  • [36] Teran-Gilmore, A., Bahena-Arredondo, N. 2008. Cumulative Ductility Spectra for Seismic Design of Ductile Structures Subjected to Long Duration Motions: Concept and Theoretical Background. Journal of Earthquake Engineering, 12(1), 152-172.
  • [37] Benavent-Climent, A., López-Almansa, F., Bravo-González, 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.
  • [38] Tselentis, G.A., Danciu, L., Sokos, E. 2010. Probabilistic Seismic Hazard Assessment in Greece - Part 2: Acceleration Response Spectra and Elastic Input Energy Spectra. Natural Hazards and Earth System Sciences, 10(1), 41-49.
  • [39] Okur, A., Erberik, M.A. 2012. Adaptation of Energy Principles in Seismic Design of Turkish RC Frame Structures. Part I: Input Energy Spectrum. Proceedings of the 15th World Conference on Earthquake Engineering, September 24-28, Lisbon, Portugal.
  • [40] Lopez-Almansa, F., Yazgan, A.U., Benavent-Climent, A. 2013. Design Energy Input Spectra for High Seismicity Regions Based on Turkish Registers. Bulletin of Earthquake Engineering, 11(4), 885-912.
  • [41] Dindar, A.A., Yalçın, C., Yüksel, E., Özkaynak, H., Büyüköztürk, O. 2015. Development of Earthquake Energy Demand Spectra. Earthquake Spectra, 31(3), 1667-1689.
  • [42] Alıcı, F.S., Sucuoğlu, H. 2016. Prediction of Input Energy Spectrum: Attenuation Models and Velocity Spectrum Scaling. Earthquake Engineering & Structural Dynamics, (45)13, 2137-2161.
  • [43] Fajfar, P., Vidic, T. 1994. Consistent Inelastic Design Spectra: Hysteretic and Input Energy. Earthquake Engineering & Structural Dynamics, 23(5), 523-537.
  • [44] Manfredi, G. 2001. Evaluation of Seismic Energy Demand. Earthquake Engineering & Structural Dynamics, 30(4), 485-499.
  • [45] Riddell, R., Garcia, J.E. 2001. Hysteretic Energy Spectrum and Damage Control. Earthquake Engineering & Structural Dynamics, 30(12), 1791-1816.
  • [46] Khashaee, P., Mohraz, B., Sadek, F., Lew, H.S. Gross, J.L. 2003. Distribution of Earthquake Input Energy in Structures. NISTIR 6903, Building and Fire Research Laboratory, National Institute of Standards and Technology, Gaithersburg.
  • [47] Estes, K.R., Anderson, J.C. 2004. Earthquake Resistant Design Using Hysteretic Energy Demands for Low Rise Buildings. Proceedings of the 13th World Conference on Earthquake Engineering, August 1-6, Vancouver, Canada, Paper No. 3276.
  • [48] Sawada, K., Matsuo, A., Ujiie, K. 2005. A Study on Hysteretic Plastic Energy Input into Single and Multi Degree of Freedom Systems Subjected to Earthquakes. WIT Transactions on The Built Environment, 81, 269-280.
  • [49] Arroyo, D., Ordaz, M. 2007. Hysteretic Energy Demands for SDOF Systems Subjected to Narrow Band Earthquake Ground Motions. Applications to the Lake Bed Zone of Mexico City. Journal of Earthquake Engineering, 11(2), 147-165.
  • [50] Arroyo, D., Ordaz, M. 2007. On the Estimation of Hysteretic Energy Demands for SDOF Systems. Earthquake Engineering & Structural Dynamics, 36(15), 2365-2382.
  • [51] Prasanth, T., Ghosh, S., Collins, K.R. 2008. Estimation of Hysteretic Energy Demand Using Concepts of Modal Pushover Analysis. Earthquake Engineering & Structural Dynamics, 37(6), 975-990.
  • [52] Bojorquez, E., Teran-Gilmore, A., Ruiz, S.E., Reyes-Salazar, A. 2011. Evaluation of Structural Reliability of Steel Frames: Interstory Drift Versus Plastic Hysteretic Energy. Earthquake Spectra, 27(3), 661-682.
  • [53] Wang, F., Yi, T. 2012. A Methodology for Estimating Seismic Hysteretic Energy of Buildings. Civil Engineering and Urban Planning, 2012, 17-21.
  • [54] Okur, A., Erberik, M.A. 2014. Adaptation of Energy Principles in Seismic Design of Turkish RC Frame Structures. Part I: Distribution of Hysteretic Energy. Proceedings of the 2nd European Conference on Earthquake Engineering and Seismology, August 25-29, Istanbul, Turkey.
  • [55] Wang, F., Li, H.N., Yi, T.H. 2015. Energy Spectra of Constant Ductility Factors for Orthogonal Bidirectional Earthquake Excitations. Advances in Structural Engineering, 18(11), 1887-1899.
  • [56] Akbaş, B., Akşar, B., Doran, B., Alacalı, S. 2016. Hysteretic Energy to Energy Input Ratio Spectrum in Nonlinear Systems. Dokuz Eylul University Faculty of Engineering Journal of Science and Engineering, 18(2), 239-254.
  • [57] Khashaee, P. 2004. Energy-based seismic design and damage assessment for structures. Southern Methodist University, PhD Dissertation, Dallas, Texas.
  • [58] PEER. 2017. Pacific Earthquake Engineering Research Center Strong Ground Motion Database. http://ngawest2.berkeley.edu/, (Access Date: 15.04.2017).
  • [59] Sivaselvan, M.V., Reinhorn, A.M. 2000. Hysteretic Models for Deteriorating Inelastic Structures. Journal of Engineering Mechanics, 126(6), 633-640.
  • [60] PRISM. 2010. A Software for Seismic Response Analysis of Single-Degree-of-Freedom-Systems. Earthquake Engineering Department of Architectural Engineering, INHA University.

Year 2018, Volume: 22 Issue: 2, 364 - 374, 15.08.2018

Taner Uçar , Onur Merter

https://doi.org/10.19113/sdufbed.84512
Cited By: 3

Abstract

References

  • [1] Housner, G.W. 1956. Limit Design of Structures to Resist Earthquakes. Proceedings of the 1st World Conference on Earthquake Engineering, Berkeley, CA, 186-198.
  • [2] Zahrah, T.F., Hall, W.J. 1984. Earthquake Energy Absorption in SDOF Structures. Journal of Structural Engineering, 110(8), 1757-1772.
  • [3] Akiyama, H. 1985. Earthquake Resistant Limit State Design for Buildings. University of Tokyo Press, Japan.
  • [4] Kuwamura, H., Galambos, T.V. 1988. Earthquake Load for Structural Reliability. Journal of Structural Engineering, 115(6), 1446-1462.
  • [5] Uang, C.M., Bertero, V.V. 1990. Evaluation of Seismic Energy in Structures. Earthquake Engineering & Structural Dynamics, 19(1), 77-90.
  • [6] Fajfar, P. 1992. Equivalent Ductility Factors, Taking into Account Low-Cycle Fatigue. Earthquake Engineering & Structural Dynamics, 21(10), 837-848.
  • [7] Rodriguez, M. 1994. A Measure of the Capacity of Earthquake Ground Motions to Damage Structures. Earthquake Engineering & Structural Dynamics, 23(6), 627-643.
  • [8] Chai, Y.H., Fajfar, P., Romstad, K.M. 1998. Formulation of Duration-Dependent Inelastic Seismic Design Spectrum. Journal of Structural Engineering, 124(8), 913-921.
  • [9] Tso, W.K., Zhu, T.J., Heidebrecht, A.C. 1993. Seismic Energy Demands on Reinforced Concrete Moment-Resisting Frames. Earthquake Engineering & Structural Dynamics, 22(6), 533-545.
  • [10] Sucuoǧlu, H., Nurtuğ, A. 1995. Earthquake Ground Motion Characteristics and Seismic Energy Dissipation. Earthquake Engineering & Structural Dynamics, 24(9), 1195-1213.
  • [11] Nakashima, M., Saburi, K., Tsuji, B. 1996. Energy Input and Dissipation Behaviour of Structures with Hysteretic Dampers. Earthquake Engineering & Structural Dynamics, 25(5), 483-496.
  • [12] Goel, R.K. 1997. Seismic Response of Asymmetric Systems: Energy-Based Approach. Journal of Structural Engineering, 123(11), 1444-1453.
  • [13] Shen, J., Akbaş, B. 1999. Seismic Energy Demand in Steel Moment Frames. Journal of Earthquake Engineering, 3(04), 519-559.
  • [14] Ye, L., Otani, S. 1999. Maximum Seismic Displacement of Inelastic Systems Based on Energy Concept. Earthquake Engineering & Structural Dynamics 28(12), 1483-1499.
  • [15] Akbas, B., Shen, J., Hao, H. 2001. Energy Approach in Performance-Based Seismic Design of Steel Moment Resisting Frames for Basic Safety Objective. The Structural Design of Tall Buildings, 10(3), 193-217.
  • [16] Decanini, L. D., Mollaioli, F. 2001. An Energy-Based Methodology for the Assessment of Seismic Demand. Soil Dynamics and Earthquake Engineering, 21(2), 113-137.
  • [17] Wong, K.K.F., Yang, R. 2002. Earthquake Response and Energy Evaluation of Inelastic Structures. Journal of Engineering Mechanics, 128(3), 308-317.
  • [18] Chou, C.C., Uang, C.M. 2003. A Procedure for Evaluating Seismic Energy Demand of Framed Structures. Earthquake Engineering & Structural Dynamics, 32(2), 229-244.
  • [19] Wong, K.K. 2004. Inelastic Seismic Response Analysis Based on Energy Density Spectra. Journal of Earthquake Engineering, 8(2), 315-334.
  • [20] Chai, Y.H. 2005. Incorporating Low-Cycle Fatigue Model into Duration-Dependent Inelastic Design Spectra. Earthquake Engineering & Structural Dynamics, 34(1), 83-96.
  • [21] Kalkan, E., Kunnath, S.K. 2008. Relevance of Absolute and Relative Energy Content in Seismic Evaluation of Structures. Advances in Structural Engineering, 11(1), 17-34.
  • [22] Lei, C., Xianguo Y., Kangning L. 2008. Analysis of Seismic Energy Response and Distribution of RC Frame Structures. Proceedings of the 14th World Conference on Earthquake Engineering, October 12-17, Beijing, China.
  • [23] Ye, L., Cheng, G., Qu, Z. 2009. Study on Energy-Based Seismic Design Method and Application on Steel Braced Frame Structures. Proceedings of the 6th International Conference on Urban Earthquake Engineering, March 3-4, Tokyo Institute of Technology, Tokyo, Japan, 417-428.
  • [24] Kazantzi, A.K., Vamvatsikos, D. 2012. A Study on the Correlation Between Dissipated Hysteretic Energy and Seismic Performance. Proceedings of the 15th World Conference on Earthquake Engineering, September 24-28, Lisbon, Portugal.
  • [25] Mezgebo, M.G. 2015. Estimation of earthquake input energy, hysteretic energy and its distribution in MDOF structures. Syracuse University, PhD Dissertation, 274 p, Syracuse, New York.
  • [26] Dogru, S., Aksar, B., Akbas, B., Shen, J., Seker, O., Wen, R. 2016. Seismic Energy Demands in Steel Moment Frames. Applied Mechanics and Materials, 847, 210-221.
  • [27] Donaire-Ávila, J., Benavent-Climent, A., Lucchini, A., Mollaioli, F. 2017. Energy-Based Seismic Design Methodology: A Preliminary Approach. Proceedings of the 16th World Conference on Earthquake Engineering, January 9-13, Santiago Chile, Paper No. 2106.
  • [28] Fajfar, P., Vidic, T., Fischinger, M. 1989. Seismic Design in Medium- and Long Period Structures. Earthquake Engineering & Structural Dynamics, 18(8), 1133-1144.
  • [29] Kuwamura, H., Kirino, Y., Akiyama, H. 1994. Prediction of Earthquake Energy Input from Smoothed Fourier Amplitude Spectrum. Earthquake Engineering & Structural Dynamics, 23(10), 1125-1137.
  • [30] Decanini, L.D., Mollaioli, F. 1998. Formulation of Elastic Earthquake Input Energy Spectra. Earthquake Engineering & Structural Dynamics, 27(12), 1503-1522.
  • [31] Chou, C.C., Uang, C.M. 2000. Establishing Absorbed Energy Spectra - An Attenuation Approach. Earthquake Engineering & Structural Dynamics, 29(10), 1441-1455.
  • [32] Benavent-Climent, A., Pujades, L.G., López-Almansa, F. 2002. Design Energy Input Spectra for Moderate-Seismicity Regions. Earthquake Engineering & Structural Dynamics, 31(5), 1151-1172.
  • [33] Kalkan, E., Kunnath, S.K. 2007. Effective Cyclic Energy as a Measure of Seismic Demand. Journal of Earthquake Engineering, 11(5), 725-751.
  • [34] Teran-Gilmore, A., Jirsa, J.O. 2007. Energy Demands for Seismic Design Against Low-Cycle Fatigue. Earthquake Engineering & Structural Dynamics, 36(3), 383-404.
  • [35] 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), 635-646.
  • [36] Teran-Gilmore, A., Bahena-Arredondo, N. 2008. Cumulative Ductility Spectra for Seismic Design of Ductile Structures Subjected to Long Duration Motions: Concept and Theoretical Background. Journal of Earthquake Engineering, 12(1), 152-172.
  • [37] Benavent-Climent, A., López-Almansa, F., Bravo-González, 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.
  • [38] Tselentis, G.A., Danciu, L., Sokos, E. 2010. Probabilistic Seismic Hazard Assessment in Greece - Part 2: Acceleration Response Spectra and Elastic Input Energy Spectra. Natural Hazards and Earth System Sciences, 10(1), 41-49.
  • [39] Okur, A., Erberik, M.A. 2012. Adaptation of Energy Principles in Seismic Design of Turkish RC Frame Structures. Part I: Input Energy Spectrum. Proceedings of the 15th World Conference on Earthquake Engineering, September 24-28, Lisbon, Portugal.
  • [40] Lopez-Almansa, F., Yazgan, A.U., Benavent-Climent, A. 2013. Design Energy Input Spectra for High Seismicity Regions Based on Turkish Registers. Bulletin of Earthquake Engineering, 11(4), 885-912.
  • [41] Dindar, A.A., Yalçın, C., Yüksel, E., Özkaynak, H., Büyüköztürk, O. 2015. Development of Earthquake Energy Demand Spectra. Earthquake Spectra, 31(3), 1667-1689.
  • [42] Alıcı, F.S., Sucuoğlu, H. 2016. Prediction of Input Energy Spectrum: Attenuation Models and Velocity Spectrum Scaling. Earthquake Engineering & Structural Dynamics, (45)13, 2137-2161.
  • [43] Fajfar, P., Vidic, T. 1994. Consistent Inelastic Design Spectra: Hysteretic and Input Energy. Earthquake Engineering & Structural Dynamics, 23(5), 523-537.
  • [44] Manfredi, G. 2001. Evaluation of Seismic Energy Demand. Earthquake Engineering & Structural Dynamics, 30(4), 485-499.
  • [45] Riddell, R., Garcia, J.E. 2001. Hysteretic Energy Spectrum and Damage Control. Earthquake Engineering & Structural Dynamics, 30(12), 1791-1816.
  • [46] Khashaee, P., Mohraz, B., Sadek, F., Lew, H.S. Gross, J.L. 2003. Distribution of Earthquake Input Energy in Structures. NISTIR 6903, Building and Fire Research Laboratory, National Institute of Standards and Technology, Gaithersburg.
  • [47] Estes, K.R., Anderson, J.C. 2004. Earthquake Resistant Design Using Hysteretic Energy Demands for Low Rise Buildings. Proceedings of the 13th World Conference on Earthquake Engineering, August 1-6, Vancouver, Canada, Paper No. 3276.
  • [48] Sawada, K., Matsuo, A., Ujiie, K. 2005. A Study on Hysteretic Plastic Energy Input into Single and Multi Degree of Freedom Systems Subjected to Earthquakes. WIT Transactions on The Built Environment, 81, 269-280.
  • [49] Arroyo, D., Ordaz, M. 2007. Hysteretic Energy Demands for SDOF Systems Subjected to Narrow Band Earthquake Ground Motions. Applications to the Lake Bed Zone of Mexico City. Journal of Earthquake Engineering, 11(2), 147-165.
  • [50] Arroyo, D., Ordaz, M. 2007. On the Estimation of Hysteretic Energy Demands for SDOF Systems. Earthquake Engineering & Structural Dynamics, 36(15), 2365-2382.
  • [51] Prasanth, T., Ghosh, S., Collins, K.R. 2008. Estimation of Hysteretic Energy Demand Using Concepts of Modal Pushover Analysis. Earthquake Engineering & Structural Dynamics, 37(6), 975-990.
  • [52] Bojorquez, E., Teran-Gilmore, A., Ruiz, S.E., Reyes-Salazar, A. 2011. Evaluation of Structural Reliability of Steel Frames: Interstory Drift Versus Plastic Hysteretic Energy. Earthquake Spectra, 27(3), 661-682.
  • [53] Wang, F., Yi, T. 2012. A Methodology for Estimating Seismic Hysteretic Energy of Buildings. Civil Engineering and Urban Planning, 2012, 17-21.
  • [54] Okur, A., Erberik, M.A. 2014. Adaptation of Energy Principles in Seismic Design of Turkish RC Frame Structures. Part I: Distribution of Hysteretic Energy. Proceedings of the 2nd European Conference on Earthquake Engineering and Seismology, August 25-29, Istanbul, Turkey.
  • [55] Wang, F., Li, H.N., Yi, T.H. 2015. Energy Spectra of Constant Ductility Factors for Orthogonal Bidirectional Earthquake Excitations. Advances in Structural Engineering, 18(11), 1887-1899.
  • [56] Akbaş, B., Akşar, B., Doran, B., Alacalı, S. 2016. Hysteretic Energy to Energy Input Ratio Spectrum in Nonlinear Systems. Dokuz Eylul University Faculty of Engineering Journal of Science and Engineering, 18(2), 239-254.
  • [57] Khashaee, P. 2004. Energy-based seismic design and damage assessment for structures. Southern Methodist University, PhD Dissertation, Dallas, Texas.
  • [58] PEER. 2017. Pacific Earthquake Engineering Research Center Strong Ground Motion Database. http://ngawest2.berkeley.edu/, (Access Date: 15.04.2017).
  • [59] Sivaselvan, M.V., Reinhorn, A.M. 2000. Hysteretic Models for Deteriorating Inelastic Structures. Journal of Engineering Mechanics, 126(6), 633-640.
  • [60] PRISM. 2010. A Software for Seismic Response Analysis of Single-Degree-of-Freedom-Systems. Earthquake Engineering Department of Architectural Engineering, INHA University.
There are 60 citations in total.

Details

Journal Section Articles
Authors

Taner Uçar

Onur Merter

Publication Date August 15, 2018
Published in Issue Year 2018 Volume: 22 Issue: 2

Cite

APA Uçar, T., & Merter, O. (2018). Hysteretic Energy Demand in SDOF Structures Subjected to an Earthquake Excitation: Analytical and Empirical Results. Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 22(2), 364-374. https://doi.org/10.19113/sdufbed.84512
AMA Uçar T, Merter O. Hysteretic Energy Demand in SDOF Structures Subjected to an Earthquake Excitation: Analytical and Empirical Results. J. Nat. Appl. Sci. August 2018;22(2):364-374. doi:10.19113/sdufbed.84512
Chicago Uçar, Taner, and Onur Merter. “Hysteretic Energy Demand in SDOF Structures Subjected to an Earthquake Excitation: Analytical and Empirical Results”. Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi 22, no. 2 (August 2018): 364-74. https://doi.org/10.19113/sdufbed.84512.
EndNote Uçar T, Merter O (August 1, 2018) Hysteretic Energy Demand in SDOF Structures Subjected to an Earthquake Excitation: Analytical and Empirical Results. Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi 22 2 364–374.
IEEE T. Uçar and O. Merter, “Hysteretic Energy Demand in SDOF Structures Subjected to an Earthquake Excitation: Analytical and Empirical Results”, J. Nat. Appl. Sci., vol. 22, no. 2, pp. 364–374, 2018, doi: 10.19113/sdufbed.84512.
ISNAD Uçar, Taner - Merter, Onur. “Hysteretic Energy Demand in SDOF Structures Subjected to an Earthquake Excitation: Analytical and Empirical Results”. Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi 22/2 (August 2018), 364-374. https://doi.org/10.19113/sdufbed.84512.
JAMA Uçar T, Merter O. Hysteretic Energy Demand in SDOF Structures Subjected to an Earthquake Excitation: Analytical and Empirical Results. J. Nat. Appl. Sci. 2018;22:364–374.
MLA Uçar, Taner and Onur Merter. “Hysteretic Energy Demand in SDOF Structures Subjected to an Earthquake Excitation: Analytical and Empirical Results”. Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi, vol. 22, no. 2, 2018, pp. 364-7, doi:10.19113/sdufbed.84512.
Vancouver Uçar T, Merter O. Hysteretic Energy Demand in SDOF Structures Subjected to an Earthquake Excitation: Analytical and Empirical Results. J. Nat. Appl. Sci. 2018;22(2):364-7.

Cited By

Rubber effect on metallic dampers used on the supports of steel cross members
The Structural Design of Tall and Special Buildings
https://doi.org/10.1002/tal.2044
The influence of ground motion duration on the energy based assessment of buildings with infill walls
Structures
https://doi.org/10.1016/j.istruc.2023.02.011
The RC samples with infill walls strengthened with steel truss wires
Structures
https://doi.org/10.1016/j.istruc.2021.12.026
 Download Cover Image

e-ISSN :1308-6529
Linking ISSN (ISSN-L): 1300-7688

All published articles in the journal can be accessed free of charge and are open access under the Creative Commons CC BY-NC (Attribution-NonCommercial) license. All authors and other journal users are deemed to have accepted this situation. Click here to access detailed information about the CC BY-NC license.