Skip to main content

Vector-Valued Intensity Measures to Predict Peak and Hysteretic Energy Demands of 3D R/C Buildings

  • Conference paper
  • First Online:
Energy-Based Seismic Engineering (IWEBSE 2021)

Part of the book series: Lecture Notes in Civil Engineering ((LNCE,volume 155))

Included in the following conference series:

  • 328 Accesses

Abstract

In this study, several peak and energy vector-valued ground motion intensity measures (IMs) are proposed to predict maximum inter-story drift and hysteretic energy demands of 3D reinforced concrete (R/C) buildings subjected to narrow-band motions. The selected vector-valued IMs are based on the spectral acceleration, pseudo-velocity, velocity and input energy at first mode of the structure as first component. As the second component, ground motion parameters based on peak, integral and spectral shape proxies such as the well-known Np are used. The objective of the present study is to provide vector-valued IMs whit the ability to predict the maximum inter-story drift and hysteretic energy demands on 3D framed structures. It is observed that vector-valued IMs based on Np provide a high relation whit maximum inter-story drift and hysteretic energy demands of reinforced concrete framed buildings.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 189.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 249.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 249.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Housner, G.W.: Limit design of structures to resist earthquakes. In: First World Conference on Earthquake Engineering, Berkeley, California (1956)

    Google Scholar 

  2. Arias, A.: A measure of earthquake intensity. In: Seismic Design for Nuclear Power Plants, pp. 438–483. MIT Press, Cambridge, MA (1970)

    Google Scholar 

  3. Von-Thun, J.L., Rochin, L.H., Scott, G.A., Wilson, J.A.: Earthquake ground motions for design and analysis of dams. In: Earthquake Engineering and Soil Dynamics II—Recent Advance in Ground-Motion Evaluation, Geotechnical Special Publication 20 ASCE, pp. 463–481 New York (1998)

    Google Scholar 

  4. Cosenza, E., Manfredi, G.: A seismic design method including damage effect. In: 11th European Conference on Earthquake Engineering, Paris, France (1998)

    Google Scholar 

  5. Mehanny, S.S.: A broad-range power-law form scalar-based seismic intensity measure. Eng. Struct. 31(7), 1354–1368 (2009)

    Article  Google Scholar 

  6. Jamshidiha, H.R., Yakhchalian, M., Mohebi, B.: Advanced scalar intensity measures for collapse capacity prediction of steel moment resisting frames with fluid viscous dampers. Soil Dyn. Earthq. Eng. 109, 102–118 (2018)

    Article  Google Scholar 

  7. Javadi, E., Yakhchalian, M.: Selection of optimal intensity measure for seismic assessment of steel buckling restrained braced frames under near-fault ground motions. J. Rehab. Civ. Eng. 7(3), 162–181 (2019)

    Google Scholar 

  8. Luco, N., Cornell, C.A.: Structure-specific scalar intensity measures for near-source and ordinary earthquake ground motions. Earthq. Spectra 23(2), 357–392 (2007)

    Article  Google Scholar 

  9. Tothong, P., Cornell, C.A.: Structural performance assessment under near-source pulselike ground motions using advanced ground motion intensity measures. Earthq. Eng. Struct. Dyn. 37(7), 1013–1037 (2008)

    Article  Google Scholar 

  10. Baker, J.W., Cornell, C.A.: Vector-valued intensity measures for pulse-like near-fault ground motions. Eng. Struct. 30(4), 1048–1057 (2008)

    Article  Google Scholar 

  11. Yakhchalian, M., Nicknam, A., Amiri, G.G.: Optimal vector-valued intensity measure for seismic collapse assessment of structures. Earthq. Eng. Eng. Vib. 14(1), 37–54 (2015)

    Article  Google Scholar 

  12. Eads, L., Miranda, E., Lignos, D.G.: Average spectral acceleration as an intensity measure for collapse risk assessment. Earthq. Eng. Struct. Dyn. 44(12), 2057–2073 (2015)

    Article  Google Scholar 

  13. Cordova, P.P., Dierlein, G.G., Mehanny, S.S.F., Cornell, C.A.: Development of a two parameter seismic intensity measure and probabilistic assessment procedure. In: The Second U.S.-Japan Workshop on Performance-Based Earthquake Engineering Methodology for Reinforce Concrete Building Structures, Sapporo, Hokkaido, pp. 187–206 (2001)

    Google Scholar 

  14. Baker, J.W., Cornell, C.A.: A vector-valued ground motion intensity measure consisting of spectral acceleration and epsilon. Earthq. Eng. Struct. Dyn. 34, 1193–1217 (2005)

    Article  Google Scholar 

  15. Tothong, P., Luco, N.: Probabilistic seismic demand analysis using advanced ground motion intensity measures. Earthq. Eng. Struct. Dyn. 36, 1837–1860 (2007)

    Article  Google Scholar 

  16. Yakut, A., Yilmaz, H.: Correlation of deformation demands with ground motion intensity. J. Struct. Eng. ASCE 134(12), 1818–1828 (2008)

    Article  Google Scholar 

  17. Mehanny, S.S.F.: A broad-range power-law form scalar-based seismic intensity measure. Eng. Struct. 31, 1354–1368 (2009)

    Article  Google Scholar 

  18. Bojórquez, E., Iervolino, I.: Spectral shape proxies and nonlinear structural response. Soil Dyn. Earthq. Eng. 31(7), 996–1008 (2011)

    Article  Google Scholar 

  19. Baker, J.W., Cornell, C.A.: Vector-valued intensity measures incorporating spectral shape for prediction of structural response. J. Earthq. Eng. 12(4), 534–554 (2008)

    Article  Google Scholar 

  20. Buratti, N.: Confronto tra le performance di diverse misure di intensità dello scuotimento sismico. Congreso Nacional de Ingeniería Sísmica Italiano, ANDIS Bari (2011)

    Google Scholar 

  21. Buratti, N.: A comparison of the performance of various ground-motion intensity measures. In: The 15th World Conference on Earthquake Engineering (2012)

    Google Scholar 

  22. Terán-Gilmore, A.: Consideraciones del uso de la energía plástica en el diseño sísmico. Revista de ingeniería Sísmica SMIS 65, 81–110 (2001)

    Article  Google Scholar 

  23. Bojórquez, E., Ruiz, S.E.: Strength reduction factors for the valley of Mexico taking into account low cycle fatigue effects. In: 13º World Conference on Earthquake Engineering, Vancouver, Canada (2004)

    Google Scholar 

  24. Arroyo, D., Ordaz, M.: Hysteretic energy demands for SDOF systems subjected to narrow band earthquake ground motions. Applications to the lake bed zone of Mexico City. J. Earthq. Eng. 11, 147–165 (2007)

    Article  Google Scholar 

  25. Terán-Gilmore, A., Jirsa, J.O.: Energy demands for seismic design against low-cycle fatigue. Earthq. Eng. Struct. Dyn. 36, 383–404 (2007)

    Article  Google Scholar 

  26. Terán-Gilmore, A., Sánchez-Badillo, A., Espinosa Johnson, M.: Performance-based seismic design of reinforced concrete ductile buildings subjected to large energy demands. Earthq. Struct. 1(1), 69–91 (2010)

    Google Scholar 

  27. Bojórquez, E., Ruiz, S.E., Terán-Gilmore, A.: Reliability-based evaluation of steel structures using energy concepts. Eng. Struct. 30(6), 1745–1759 (2008)

    Article  Google Scholar 

  28. Bojórquez, E., Terán-Gilmore, A., Ruiz, S.E., Reyes-Salazar, A.: Evaluation of structural reliability of steel frames: Inter-story drifts versus plastic hysteretic energy. Earthq. Spectra 27(3), 661–682 (2011)

    Article  Google Scholar 

  29. Uang, C.M., Bertero, V.V.: Evaluation of seismic energy in structures. Earthq. Eng. Struct. Dyn. 19, 77–90 (1990)

    Article  Google Scholar 

  30. Trifunac, M.D., Brady, A.G.: A study of the duration of strong earthquake ground motion. Bull. Seismol. Soc. Am. 65(3), 581–626 (1975)

    Google Scholar 

  31. Eads, L., Miranda, E., Lignos, D.: Spectral shape metrics and structural collapse potential. Earthq. Eng. Struct. Dyn. 45(10), 1643–1659 (2016)

    Article  Google Scholar 

  32. Iervolino, I., Manfredi, G., Cosenza, E.: Ground motion duration effects on nonlinear seismic response. Earthq. Eng. Struct. Dyn. 35, 21–38 (2006)

    Article  Google Scholar 

  33. Terán-Gilmore, A., Jirsa, J.O.: A damage model for practical seismic design that accounts for low cycle fatigue. Earthq. Spectra 21(3), 803–832 (2005)

    Google Scholar 

  34. Rodríguez, M.E., Padilla, C.: A damage index for the seismic analysis of reinforced concrete members. J. Earthq. Eng. 13(3), 364–383 (2008)

    Article  Google Scholar 

  35. Bojórquez, E., Reyes-Salazar, A., Terán-Gilmore, A., Ruiz, S.E.: Energy-based damage index for steel structures. J. Steel Compos. Struct. 10(4), 343–360 (2010)

    Google Scholar 

Download references

Acknowledgements

The authors express their gratitude to the Consejo Nacional de Ciencia y Tecnología (CONACYT) in Mexico for funding the research reported in this paper under grant Ciencia Básica 287103 and for the scholarship given to the Ph.D. student. The financial support given by the Universidad Autónoma de Sinaloa under grant PROFAPI is appreciated.

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2021 The Author(s), under exclusive license to Springer Nature Switzerland AG

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Torres, J.I., Bojórquez, E., Reyes, A., Bojórquez, J. (2021). Vector-Valued Intensity Measures to Predict Peak and Hysteretic Energy Demands of 3D R/C Buildings. In: Benavent-Climent, A., Mollaioli, F. (eds) Energy-Based Seismic Engineering. IWEBSE 2021. Lecture Notes in Civil Engineering, vol 155. Springer, Cham. https://doi.org/10.1007/978-3-030-73932-4_18

Download citation

  • DOI: https://doi.org/10.1007/978-3-030-73932-4_18

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-73931-7

  • Online ISBN: 978-3-030-73932-4

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics