Structural Engineering and Mechanics

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New optimum distribution of lateral strength of shear-type buildings for uniform damage

  • Donaire-Avila, Jesus (Department of Mechanical and Mining Engineering, University of Jaen) ;
  • Lucchini, Andrea (Department of Structural and Geotechnical Engineering, Sapienza University of Rome) ;
  • Benavent-Climent, Amadeo (Department of Mechanical Engineering, Universidad Politecnica de Madrid) ;
  • Mollaioli, Fabrizio (Department of Structural and Geotechnical Engineering, Sapienza University of Rome)
  • Received : 2019.10.05
  • Accepted : 2020.05.29
  • Published : 2020.11.10
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Abstract

The seismic design of conventional frame structures is meant to enhance plastic deformations at beam ends and prevent yielding in columns. To this end, columns are made stronger than beams. Yet yielding in columns cannot be avoided with the column-to-beam strength ratios (about 1.3) prescribed by seismic codes. Preventing plastic deformations in columns calls for ratios close to 4, which is not feasible for economic reasons. Furthermore, material properties and the rearrangement of geometric shapes inevitably make the distribution of damage among stories uneven. Damage in the i-th story can be characterized as the accumulated plastic strain energy (Wpi) normalized by the product of the story shear force (Qyi) and drift (δyi) at yielding. Past studies showed that the distribution of the plastic strain energy dissipation demand, Wpi/ΣWpj, can be evaluated from the deviation of Qyi with respect to an "optimum value" that would make the ratio Wpi/(Qyiδyi) -i.e. the damage- equal in all stories. This paper investigates how the soil type and ductility demand affect the optimum lateral strength distribution. New optimum lateral strength distributions are put forth and compared with others proposed in the literature.

Keywords

Acknowledgement

This research was funded by the Spanish Ministry of Economy, Industry and Competitivity, research project reference MEC BIA2017 88814 R, and also received funds from the European Union (Fonds Européen de Dévelopment Régional). The mobility of one of the researchers was funded by the National Program of Promoting Talent and its Uses in I+D+i, Modality B: Research stays and mobility abroad José Castillejo-2018. The financial support of both the Italian Ministry of Education, University and Research (MIUR) and the Italian Network of University Laboratories of Seismic Engineering (ReLuis) is also gratefully acknowledged.

References

  1. Akiyama, H. (1985), Earthquake Resistant Limit-State Design for Buildings (English version), University of Tokyo Press, Tokyo, Japan.
  2. Akiyama, H. (1999), Earthquake-resistant design method for buildings based on energy balance (in Japanese), Gidoho Shuppan Co., Tokyo, Japan.
  3. Bagheri, B., Oh, S.H. and Shin, S.H. (2018), "Distribution of optimum yield-strength and plastic strain energy prediction of hysteretic dampers in coupled shear wall buildings" Int. J. Steel Struct., 18(4), 1107-1124. https://doi.org/10.1007/s13296-018-0098-7.
  4. Benavent-Climent, A., Escobedo, A., Donaire-Avila, J., Oliver-Saiz, E. and Ramirez-Marquez, A.L. (2014), "Assessment of expected damage on buildings subjected to Lorca earthquake through an energy-based seismic index method and nonlinear dynamic response analyses" Bull. Earthq. Eng., 12(5), 2049-2073. https://doi.org/10.1007/s10518-013-9513-9.
  5. Building Standard Law (2009), The Building Standard Law of Japan, Building Research Institute; Tokyo, Japan.
  6. Campbell, K.W. and Bozorgnia, Y. (2007), "Campbell-Bozorgnia NGA ground motion relations for the geometric mean horizontalcomponent of peak and spectral ground motion parameters", Research Report No. 2007/02; Pacific Earthquake Engineering Research Center, University of California, Berkeley, USA.
  7. Cheng, Y., Lucchini, A. and Mollaioli, F. (2014), "Proposal of new ground-motion prediction equations for elastic input energy spectra", Earthq. Struct., 7(4), 485-510. http://dx.doi.org/10.12989/eas.2014.7.4.485.
  8. Connor, J.J. (2003), Introduction to Structural Motion Control, Prentice Hall, New Jersey, USA.
  9. Cosenza, E. and Manfredi, G. (2000), "Damage indices and damage measures", Prog. Struct. Eng. Mater., 2(1), 50-59. https://doi.org/10.1002/(SICI)1528-2716(200001/03)2:1<50::AID-PSE7>3.0.CO;2-S
  10. Deguchi, Y., Kawashima, T., Yamanari, M. and Ogawa, K. (2008), "Sesimic design load distribution in steel frame", Proceedings of the 14th World Conference on Earthquake Engineering, Beijing, China, October.
  11. Donaire-Avila, J., Lucchini, A., Benavent-Climent, A. and Mollaioli, F. (2018), "New Approach for the Optimal Yield-Force Coefficient Distribution in the Seismic Design of Buildings", Proceedings of the 16th European Conference on Earthquake Engineering, Thessaloniki, Greece, June.
  12. Donaire-Avila, J. and Benavent-Climent, A. (2020), "Optimum strength distribution for structures with metallic dampers subjected to seismic loading", Metals, 10(1), 1-27. https://doi.org/10.3390/met10010127.
  13. Eurocode 8 (2004), Design of structures for earthquake resistance, Part 1: General rules, seismic actions and rules for buildings, European Committe for Standardization; Brussels, Belgium.
  14. Eurocode 8 (2005), Design of structures for earthquake resistance, Part 3: Assessment and retrofitting of buildings, European Committe for Standardization; Brussels, Belgium.
  15. Fardis, M. (2014), "From Performance and Displacement-Based Assessment of Existing Buildings per EN1998-3 to Design of New Concrete Structures in fib MC2010", Perspectives on European Earthquake Engineering and Seismology, Geotechnical, Geological and Earthquake Engineering, Springer, London, UK.
  16. Housner, G.W. (1956), "Limit Design of Structures to Resist Earthquakes", Proceedings of the 1st WCEE, California, USA, June.
  17. Kato, B. and Akiyama, H. (1977), "Earthquake resistant design for steel buildings", Proceedings of the 6th World Conference on Earthquake Engineering, New Delhi, India, January.
  18. Kobori, T. and Miani, R. (1970), "On the optimum asismic design data for multi-story structures based on the elasto-plastic earthquake response", Proceedings of the 3rd European Symposium on Earthquake Engineering, Sofia, Bulgaria, September.
  19. Kuntz, G. L. and Browning, J. A. (2003), "Reduction of column yielding during earthquakes for reinforced concrete frames", ACI Struct. J., 100(5), 573-580. http://hdl.handle.net/1808/23379.
  20. Lucchini, A., Franchin, P. and Mollaioli, F. (2017), "Uniform hazard floor acceleration spectra for linear structures", Earthq. Eng. Struct. Dyn., 46(7), 1121-1140. https://doi.org/10.1002/eqe.2847.
  21. Manfredi, G., Polese, M. and Cosenza, E. (2003), "Cumulative demand of the earthquake ground motions in the near source" Eng. Struct. Dyn., 32(12), 1853-1865. https://doi.org/10.1002/eqe.305.
  22. Meli, R. and Avila, J.A. (1989), "The Mexico Earthquake of September 19, 1985 - Analysis of Building Response", Earthq. Spectra, 5(1), 1-17. https://doi.org/10.1193/1.1585506.
  23. Michael, R., Torczon, V. and Trosset, M.W. (2000), "Direct search methods: then and now", J. Comput. Appl. Math., 124, 191-207. https://doi.org/10.1016/S0377-0427(00)00423-4.
  24. Oh, S.H. and Jeon, J. (2017), "A Study on Optimum Distribution of Story Shear Force Coefficient for Seismic Design of Multi-story Structure", Proceedings of the 16th World Conference on Earthquake Engineering, Santiago, Chile, January. https://doi.org/10.21022/IJHRB.2014.3.2.121.
  25. OpenSees. (2018), Open system for earthquake engineering simulation (V.2.5.0). Open source software, Pacific Earthquake Engineering Research Center, University of California: Berkeley, California, USA.
  26. Rodriguez, M. and Diaz, C. (1989), "The Mexico Earthquake of September 19, 1985. Analysis of the Seismic Performance of a Medium Rise, Waffle Flat Plate Building", Earthq. Spectra, 5(1), 25-40. https://doi.org/10.1193/1.1585509.
  27. Seismic Provisions (1997), Seismic provisions for the design of building structures (in Japanese), The Building Center of Japan; Tokyo, Japan.