Journal of Vibration and Sound

Journal of Vibration and Sound

A method for determining the duration of a strong ground motion based on intensity and energy, a case study: Sarpol-e-Zahab earthquake

Document Type : research article

Authors
Mohammad Reza Tabeshpour 1
Azadeh Noorifard 2
1 Mechanical Engineering Department
2 School of Architecture, College of Fine Arts, University of Tehran
Abstract
In studying the earthquake record, it is very important to identify the moment when the main energy enters the structure. From a technical point of view, it is very important to find a parameter that shows the intensity of an earthquake. Although the PGA as well as the PGV and PGD are very important parameters in earthquake engineering, but it is very important to know the time of the most intensive ground motion in the time history of earthquake. By taking a careful and deep look at the time history of the earthquake, a good understanding of the time of the most intensive ground motion can be achieved. In this paper, through a case study of the time history of the Sarpol-e-Zahab earthquake, a simple method and a suitable estimation of intensity and its distribution during the record is presented, also, a method based on the derivative of Arias intensity and energy flux has been developed to accurately determine the part of the earthquake record where the most important part of the energy is transferred to the structure. The results of this study show that there is an accurate relationship between the time history and the intensity. Also, by considering the proposed method for determining the effective duration and comparing the resulting response spectra, it can be concluded that in most cases, there is no need to use the entire time history of the earthquake for dynamic analysis, and a significant saving in time and cost can be achieved.
Keywords
Earthquake record
Arias intensity
Energy flux
duration
Sarpol-e-Zahab earthquake
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 Sarma, S. K., and K. S. Yang. "An evaluation of strong motion records and a new parameter A95." Earthquake engineering & structural dynamics 15, no. 1 (1987): 119-132.

  • Tabeshpour, M. R., & Noorifard, A. (2023). Visual understanding and interpretation of earthquake signal (Case study of Sarpol-e-Zahab earthquake), Banayeh Danesh Press, Tehran, Iran, (In Persian).
  • Standard No 2800. Iranian Code of Practice for Seismic Resistant Design of Buildings, (2015). 4th Edition, Building and Housing Research Center, Tehran, Iran (In Persian).
  • Tabeshpour, M. R. (2015). Nonlinear analysis of structures, Fadak Press, Tehran, Iran, (In Persian).
  • Sarma, S. K. "Energy flux of strong earthquakes." Tectonophysics11, no. 3 (1971): 159-173.
  • Travasarou, Thaleia, Jonathan D. Bray, and Norman A. Abrahamson. "Empirical attenuation relationship for Arias intensity." Earthquake engineering & structural dynamics32, no. 7 (2003): 1133-1155.
  • Foulser‐Piggott, Roxane, and Peter J. Stafford. "A predictive model for Arias intensity at multiple sites and consideration of spatial correlations." Earthquake Engineering & Structural Dynamics41, no. 3 (2012): 431-451.
  • Baltay, Annemarie S., Thomas C. Hanks, and Norman A. Abrahamson. "Earthquake stress drop and Arias intensity." Journal of Geophysical Research: Solid Earth124, no. 4 (2019): 3838-3852.
  • Kempton, Justin J., and Jonathan P. Stewart. "Prediction equations for significant duration of earthquake ground motions considering site and near-source effects." Earthquake spectra22, no. 4 (2006): 985-1013.
  • Raghunandan, Meera, and Abbie B. Liel. "Effect of ground motion duration on earthquake-induced structural collapse." Structural Safety41 (2013): 119-133.
  • Barbosa, Andre R., Filipe LA Ribeiro, and Luis AC Neves. "Influence of earthquake ground‐motion duration on damage estimation: application to steel moment resisting frames." Earthquake Engineering & Structural Dynamics46, no. 1 (2017): 27-49.
  • Meimandi‐Parizi, Ali, Masoud Daryoushi, Abbas Mahdavian, and Hamid Saffari. "Ground‐motion models for the prediction of significant duration using strong‐motion data from Iran." Bulletin of the Seismological Society of America110, no. 1 (2020): 319-330.
  • Manesh, Mansoureh Rezaee, and Hamid Saffari. "Empirical equations for the prediction of the bracketed and uniform duration of earthquake ground motion using the Iran database." Soil Dynamics and Earthquake Engineering137 (2020): 106306.
  • Zafarani, H., and M. R. Soghrat. "Ground motion models for non-spectral intensity measures based on the Iranian database." Journal of Earthquake Engineering27, no. 13 (2023): 3786-3806.
  • SeismoSignal, “SeismoSignal–Software: a computer program for signal processing and analysis of accelerogram,” 2021, https://www.seismosoft.com.
  • Tabeshpour, M. R., (2017), Random vibrations and spectral analysis of structures, Banayeh Danesh Press, Tehran, Iran, (In Persian).
  • Husid, Raúl. "Características de terremotos. Análisis general." Revista IDIEM8, no. 1 (1969): ág-21.
  • Bommer, Julian J., and Alejandro Martínez-Pereira. "The effective duration of earthquake strong motion." Journal of earthquake engineering3, no. 02 (1999): 127-172.

 Sarma, S. K., and K. S. Yang. "An evaluation of strong motion records and a new parameter A95." Earthquake engineering & structural dynamics 15, no. 1 (1987): 119-132.