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Ratio of Hysteretic and Input Energy Spectra for Nonlinear Structures under Seismic Sequences

Author

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  • Juan A. Serrano

    (Facultad de Ingeniería, Universidad Autónoma de Sinaloa, Calzada de las Américas y B. Universitarios s/n, Culiacan C.P. 80040, Sinaloa, Mexico)

  • Edén Bojórquez

    (Facultad de Ingeniería, Universidad Autónoma de Sinaloa, Calzada de las Américas y B. Universitarios s/n, Culiacan C.P. 80040, Sinaloa, Mexico)

  • Juan Bojórquez

    (Facultad de Ingeniería, Universidad Autónoma de Sinaloa, Calzada de las Américas y B. Universitarios s/n, Culiacan C.P. 80040, Sinaloa, Mexico)

  • Alfredo Reyes-Salazar

    (Facultad de Ingeniería, Universidad Autónoma de Sinaloa, Calzada de las Américas y B. Universitarios s/n, Culiacan C.P. 80040, Sinaloa, Mexico)

  • Ignacio Torres

    (Facultad de Ingeniería, Universidad Autónoma de Sinaloa, Calzada de las Américas y B. Universitarios s/n, Culiacan C.P. 80040, Sinaloa, Mexico)

  • Jorge Ruiz-García

    (Facultad de Ingeniería, Universidad Michoacana de San Nicolas, Morelia C.P. 04510, Michoacán, Mexico)

  • Antonio Formisano

    (Department of Structures for Engineering and Architecture (DiSt), University of Naples “Federico II“, 80125 Naples, Italy)

  • Eduardo Fernández

    (Facultad de Contaduría y Administración, Universidad Autónoma de Coahuila, Blvd. Revolución Oriente No. 151, Torreón C.P. 27000, Coahuila, Mexico)

  • Herian Leyva

    (Facultad de Ingeniería, Arquitectura y Diseño, Universidad Autónoma de Baja California, Carretera Ensenada-Tijuana No. 3917, Ensenada C.P. 22870, Baja California, Mexico)

  • Mario D. Llanes-Tizoc

    (Facultad de Ingeniería, Universidad Autónoma de Sinaloa, Calzada de las Américas y B. Universitarios s/n, Culiacan C.P. 80040, Sinaloa, Mexico)

Abstract

In the last few years, several mainshock–aftershock sequences have demonstrated their effects on structures; especially after the occurrence of an earthquake with high magnitude, the number of aftershocks tends to increase. For this reason, several studies have been oriented to estimate the influence of aftershocks on the structural response, most of them in terms of peak or residual displacement; however, energy plays an important role for long-duration earthquakes. In this paper, several bilinear SDOF systems with different post-yielding stiffness are subjected to long-duration seismic sequences, considering different levels of intensity of the aftershocks with the aim to compute constant-ductility spectra for input energy (E I ), hysteretic energy (E H ) and the ratio between them (E H /E I ). The results suggest that although the energy demands tend to increase as the intensity of the aftershock increases, it is observed that the ratio of input and hysteretic energy is very similar for the selected aftershock intensity levels; hence, analytical equations to predict this ratio are proposed. The equations can be used toward earthquake-resistant energy-based design of buildings.

Suggested Citation

  • Juan A. Serrano & Edén Bojórquez & Juan Bojórquez & Alfredo Reyes-Salazar & Ignacio Torres & Jorge Ruiz-García & Antonio Formisano & Eduardo Fernández & Herian Leyva & Mario D. Llanes-Tizoc, 2023. "Ratio of Hysteretic and Input Energy Spectra for Nonlinear Structures under Seismic Sequences," Sustainability, MDPI, vol. 15(6), pages 1-30, March.
    • Handle: RePEc:gam:jsusta:v:15:y:2023:i:6:p:5264-:d:1098852
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    References listed on IDEAS

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    1. K. R. Felzer & E. E. Brodsky, 2006. "Decay of aftershock density with distance indicates triggering by dynamic stress," Nature, Nature, vol. 441(7094), pages 735-738, June.
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