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Assessment of hysteretic damping in reinforced concrete structures using local hinge characteristics

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Abstract

Performance-based seismic engineering is nowadays adopted for economical design of structures to resist earthquakes and it requires nonlinear static pushover analysis to be performed. In this approach, the energy dissipation due to nonlinear behavior of the structures is taken into account by obtaining the equivalent viscous damping and this damping is evaluated from the global pushover curve of the structures. However, the global structural damping is basically due to energy dissipation at local joints of the structures deforming beyond yield rotation. This paper presents the methodology of estimating equivalent damping from the local hinge characteristics of the structures at element level by carrying out Pushover analysis of three structures viz 3D six storeyed, 2D two storeyed and a simple column RC structure. This damping is assessed by considering cumulative hysteretic energy dissipated at all the plastic hinges developed in the structures and is compared with that calculated based on formulations given in codes such as FEMA-440 and ATC-40. Damping agrees well with that given in FEMA-440, estimated from global pushover curve of structures for ductility value greater than 3. Also, nonlinear time history analysis is performed for all the structures to validate the structural performance.

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References

  • ATC (Applied Technology Council) (1996) Seismic evaluation and retrofit of concrete buildings, Vols. 1 and 2. ATC-40. Redwood City, CA: Applied Technology Council

  • BIS (Bureau of Indian Standards) (1993) Ductile detailing of reinforced Concrete structures subjected to seismic forces. IS 13920. New Delhi: BIS

  • BIS (Bureau of Indian Standards) (2000) Plain and reinforced concrete, Code of practice. IS 456. New Delhi: BIS

  • BIS (Bureau of Indian Standards) (2016) Criteria for earthquake resistant design of structures, Part 1, General provisions and buildings. IS 1893. New Delhi: BIS

  • Charney FA (2008) Unintended consequences of modeling damping in structures. J Struct Eng 134(4):581

    Article  Google Scholar 

  • Chopra AK, Goel RK (2000) Evaluation of NSP to estimate seismic deformation: SDF systems. J Struct Eng 126(4):482–490

    Article  Google Scholar 

  • Clough RW, Penzien J (1975) Dynamics of structures. McGraw-Hill, New York

    Google Scholar 

  • Dowell RK, Seible F, Wilson EL (1998) Pivot hysteresis model for reinforced concrete members. ACI Struct J 95(5):607–618

    Google Scholar 

  • Du B, He Z, Huang G (2019) An estimate on distribution of hysteretic energy demand in seismic precast concrete frame structures. J Earthq Eng. https://doi.org/10.1080/13632469.2019.1605950

    Article  Google Scholar 

  • FEMA-356 (2000) Prestandard and commentary for the seismic rehabilitation of buildings. Federal Emergency Management Agency

  • FEMA-440 (2005) Improvement of nonlinear static seismic analysis procedures. Department of Homeland Security Federal Emergency Management Agency

  • Freeman SA (1998) Development and Use of Capacity Spectrum Method. Proc. 6th US National Conference on Earthquake Engineering, Seattle, Paper No. 269

  • Goel RK (2008) Evaluation of current nonlinear static procedures for reinforced concrete buildings. The 14th World Conference on Earthquake Engineering

  • Gulkan P, Sozen MA (1974) Inelastic response of reinforced concrete structures to earthquake motion. ACI J 71:604–610

    Google Scholar 

  • Hancock J, Bommer JJ (2004) Predicting the number of cycles of ground motion. 13th World Conference on Earthquake Engineering, Vancouver, B.C., Canada, Paper No. 1989

  • Iwan WD, Gates NC (1979) The effective period and damping of a class of hysteretic structures. Earthq Eng Struct Dyn 7:199–211

    Article  Google Scholar 

  • Jacobsen LS (1930) Steady forced vibrations as influenced by damping. ASME Trans 52(1):169–181

    Google Scholar 

  • Kazantzi A, Vamvatsikos D (2018) The hysteretic energy as a performance measure in analytical studies. Earthq Spectra. https://doi.org/10.1193/112816eqs207m

    Article  Google Scholar 

  • Kent DC, Park R (1971) Flexural members with confined concrete. J Struct Div Proc Am Soc Civil Eng 97(7):1969–1990

    Google Scholar 

  • Kothari P, Parulekar YM, Reddy GR, Gopalakrishnan N (2017) In-structure response spectra considering nonlinearity of RCC structures: experiments and analysis. Nucl Eng Des 322:379–396

    Article  Google Scholar 

  • Kowalsky MJ, Priestley MJN, Gregory AM (1995) Displacement-based design of RC bridge columns in seismic regions. Earthq Eng Struct Dynam 24:1623–1643

    Article  Google Scholar 

  • Kowalsky MJ, Ayers JP (2002) Investigation of equivalent viscous damping for direct displacement-based design. The Third US-Japan Workshop on Performance-Based Earthquake Engineering Methodology for Reinforced Concrete Building Structures, Berkeley: Pacific Earthquake Engineering Research Centre, University of California

  • López-Barraza A, Ruiz SE, Reyes-Salazar A, Bojórquez E (2016) Demands and distribution of hysteretic energy in moment resistant self-centering steel frames. Steel Compos Struct 20(5):1155–1171

    Article  Google Scholar 

  • Moghadami AS, Aziminejad A (2004) Interaction of torsion and p-delta effects in tall Buildings. 13th World Conference on Earthquake Engineering, Vancouver, B.C., Canada, Paper No. 799

  • Necevska-Cevetanovska GS, Petrusevska RP (1996) Study of the effect of hysteretic model parameters on the nonlinear dynamic response of RCC structures expressed via hysteretic energy. Eleventh world conference on earthquake engineering

  • Nuzzo I, Losanno D, Caterino N (2019) Seismic design and retrofit of frame structures with hysteretic dampers: a simplified displacement-based procedure. Bull Earthq Eng 17:2787–2819

    Article  Google Scholar 

  • Park R, Paulay T (1975) Reinforced concrete structures. Wiley, New York

    Book  Google Scholar 

  • Priestley MJN (2003) Myths and fallacies in earthquake engineering, revisited. IUSS Press, New York

    Google Scholar 

  • Priestley MJN, Kowalsky MJ (2000) Direct displacement-based seismic design of concrete buildings. Bull N Zeal Soc Earthq Eng 33(4):421–444

    Article  Google Scholar 

  • Reyes-Salazar A, Sauceda-Pimentel Jose M, Ruiz SE, Bojórquez E, Bojorquez J (2018) Seismic response and energy dissipation of 3D complex steel buildings considering the influence of interior semi-rigid connections: low-medium- and high-rise. Bull Earthq Eng 16:5557–5590

    Article  Google Scholar 

  • Reyes-Salazar A, Haldar A, Rodelo-López RE, Bojórquez E (2014) Effect of damping and yielding on the seismic response of 3D steel buildings with PMRF. Scientific World Journal, Volume 2014, Article ID 915494

  • Sucuoglu H, Erberik MA (2004) Energy based hysteresis and damage models for deteriorating systems. Earthq Eng Struct Dyn 33(1):69–88

    Article  Google Scholar 

  • Takeda T, Sozen MA, Nielsen NN (1970) Reinforced concrete response to simulated earthquakes. J Struct Div 96(12):2557–2573

    Google Scholar 

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Authors and Affiliations

  1. Bhabha Atomic Research Centre, Mysore, 571130, India

    N. K. Shekhar

  2. Reactor Safety Division, Bhabha Atomic Research Centre, Mumbai, 400085, India

    Y. M. Parulekar, T. Nagender & J. Chattopadhyay

  3. Homi Bhabha National Institute, Mumbai, 400094, India

    Y. M. Parulekar & J. Chattopadhyay

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  1. N. K. Shekhar
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  2. Y. M. Parulekar
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  3. T. Nagender
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  4. J. Chattopadhyay
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Correspondence to Y. M. Parulekar.

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Shekhar, N.K., Parulekar, Y.M., Nagender, T. et al. Assessment of hysteretic damping in reinforced concrete structures using local hinge characteristics. Bull Earthquake Eng 19, 135–160 (2021). https://doi.org/10.1007/s10518-020-00968-z

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  • DOI: https://doi.org/10.1007/s10518-020-00968-z

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