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An adaptive modal pushover analysis procedure (VMPA-A) for buildings subjected to bi-directional ground motions

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Abstract

A new modal pushover analysis procedure (VMPA-A) is developed and implemented in MATLAB code for three-dimensional buildings subjected to bidirectional ground motions. VMPA-A uses stepwise force patterns to represent changes in the dynamic characteristics because of the accumulated structural damages. The hybrid-spectrum concept is introduced to account for the bidirectional ground motion effects. Due to enactments of the equal displacement rule and the secant stiffness-based linearization process, nonlinear analysis is performed for specific displacement targets without stipulation of full modal capacity curves for each mode. Horizontal components of an earthquake record are considered simultaneously, and the consistency between the force and displacement vectors for each mode is provided. These are the main advantages of the proposed procedure against modal pushover analysis (MPA). An existing 21-story reinforced concrete building is analyzed to exemplify VMPA-A. The response parameters such as displacements, story drifts, internal forces, strains, etc. are discussed by comparing the results of VMPA-A with nonlinear time history analyses, which is accepted as the “exact solution”. Though consistent demand estimations are obtained for story drifts, displacements and deformations, some conservative results are obtained for story shears.

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References

  • Antonio S, Pinho R (2004a) Advantages and limitations of adaptive and non-adaptive force-based pushover procedures. J Earthq Eng 8(4):497–522

    Google Scholar 

  • Antonio S, Pinho R (2004b) Development and verification of a displacement-based adaptive pushover procedure. J Earthq Eng 8(5):643–661

    Google Scholar 

  • ASCE, SEI 41.06 (2007) Seismic rehabilitation of existing buildings, the latest generation of performance-based seismic rehabilitation methodology. ASCE, California

    Book  Google Scholar 

  • Aydinoğlu MN (2003) An incremental response spectrum analysis procedure based on inelastic spectral displacements for multi-mode seismic performance evaluation. Bull Earthq Eng 1:3–36

    Article  Google Scholar 

  • Bhatt C, Bento R (2011) Extension of CSM-FEMA440 to plan-asymmetric real building structures. Earthq Eng Struct Dynam 40(11):1263–1282

    Article  Google Scholar 

  • Bhatt C, Bento R (2014) The extended adaptive capacity spectrum method for the seismic assessment of plan-asymmetric buildings. Earthq Spectra 30(2):683–703

    Article  Google Scholar 

  • Bosco M, Ghersi A, Marino M (2012) Corrective eccentricities for assessment by the nonlinear static method of 3D structures subjected to bidirectional ground motions. Earthq Eng Struct Dynam 41:1751–1773

    Article  Google Scholar 

  • Bosco M, Ghersi A, Marino EM, Rossi PP (2013) Comparison of nonlinear static methods for the assessment of asymmetric buildings. Bull Earthq Eng 11:2287–2308

    Article  Google Scholar 

  • Chopra AK, Goel RK (2002) A modal pushover analysis procedure for estimating seismic demands for buildings. Earthq Eng Struct Dynam 31:561–582

    Article  Google Scholar 

  • Chopra AK, Goel RK (2004) A modal pushover analysis procedure to estimate seismic demands for unsymmetric-plan buildings. Earthq Eng Struct Dynam 33:903–927

    Article  Google Scholar 

  • CTBUH (2008) Recommendations for the seismic design of high-rise buildings. Council on Tall Buildings and Urban Habitat, Chicago

    Google Scholar 

  • Elnashai AS (2001) Advanced inelastic static (pushover) analysis for earthquake applications. Struct Eng Mech 12(1):51–69

    Article  Google Scholar 

  • Fajfar P, Marusic D, Perus I (2005) Torsional effects in the pushover–based seismic analysis of buildings. J Earthq Eng 6:831–854

    Google Scholar 

  • Fischinger M, Isakovic T, Kante P (2004) Implementation of a macro model to predict seismic response of RC structural walls. Comput Concr 1(2):211–226

    Article  Google Scholar 

  • Fujii K (2011) Nonlinear static procedure for multi-story asymmetric frame buildings considering bidirectional excitation. J Earthq Eng 15:245–273

    Article  Google Scholar 

  • Fujii K (2014) Prediction of the largest peak nonlinear seismic response of asymmetric buildings under bidirectional excitation using pushover analyses. Bull Earthq Eng 12:909–938

    Article  Google Scholar 

  • Kalkan E, Kunnath SK (2006) Adaptive modal combination procedure for nonlinear static analysis of building structures. J Struct Eng ASCE 132:1721–1731

    Article  Google Scholar 

  • Kante P (2005) Seismic vulnerability of reinforced concrete walls (in Slovenian). Ph.D. Dissertation, University of Ljubljana

  • Kreslin M, Fajfar P (2011) The extended N2 method taking into account higher mode effects in elevation. Earthq Eng Struct Dynam 40:1571–1589

    Article  Google Scholar 

  • Kreslin M, Fajfar P (2012) The extended N2 method considering higher mode effects in both plan and elevation. Bull Earthq Eng 10:695–715

    Article  Google Scholar 

  • LATBSDC (2008) An alternative procedure for seismic analysis and design of tall buildings located in the Los Angeles region. Los Angeles Tall Buildings Structural Design Council, Los Angeles, CA

  • Lin JL, Tsai KC (2007) Simplified seismic analysis of asymmetric building systems. Earthq Eng Struct Dynam 36:459–479

    Article  Google Scholar 

  • Lin JL, Tsai KC (2008) Seismic analysis of two-way asymmetric building systems under bidirectional seismic ground motions. Earthq Eng Struct Dyn 37:305–328

    Article  Google Scholar 

  • Lin JL, Tsai KC, Yang WC (2012a) Inelastic responses of two-way asymmetric-plan structures under bidirectional ground excitations-part I: modal parameters. Earthq Spectra 1:105–139

    Article  Google Scholar 

  • Lin JL, Yang WC, Tsai KC (2012b) Inelastic responses of two-way asymmetric-plan structures under bidirectional ground excitations-part II: response spectra. Earthq Spectra 1:141–157

    Article  Google Scholar 

  • Manoukas G, Avramidis I (2014) Evaluation of a multimode pushover procedure for asymmetric in plan buildings under biaxial seismic excitation. Bull Earthq Eng 12:2607–2632

    Article  Google Scholar 

  • Manoukas G, Athanatopoulou A, Avramidis I (2012) Multimode pushover analysis for asymmetric buildings under biaxial seismic excitation based on a new concept of the equivalent single degree of freedom system. Soil Dyn Earthq Eng 38:88–96

    Article  Google Scholar 

  • Marusic D, Fajfar P (2005) On the inelastic seismic response of asymmetric buildings under bi-axial excitation. Earthq Eng Struct Dynam 34:943–963

    Article  Google Scholar 

  • Meireles H, Pinho R, Bento R, Antoniou S (2006) Verification of an Adaptive Pushover Technique for the 3D Case. In: First European conference on earthquake engineering and seismology, Genewa

  • Orakcal K, Massone LM, Wallace JW (2006) Analytical modeling of reinforced concrete walls for predicting flexural and coupled-shear-flexural responses PEER Report 2006/7. Pacific Earthquake Engineering Research Center, University of California, Berkeley

  • PEER (2006) NGA Database Pacific Earthquake Engineering Research Center. University of California, Berkeley. http://peer.berkeley.edu/nga/

  • PEER (2009) Guidelines for seismic design of tall buildings. Pacific Earthquake Research Center, University of California, Berkeley

    Google Scholar 

  • PERFORM3D V5.0. (2012) Nonlinear analysis and performance assessment of 3D structures. Computers and Structures Inc., Berkeley

    Google Scholar 

  • Perus I, Fajfar P (2005) On the inelastic torsional response of single-storey structures under bi-axial excitation. Earthq Eng Struct Dynam 34:931–941

    Article  Google Scholar 

  • Poursha M, Khoshnoudian F, Moghadam AS (2009) A consecutive modal pushover procedure for estimating the seismic demands of tall buildings. Eng Struct 31:591–599

    Article  Google Scholar 

  • Poursha M, Khoshnoudian F, Moghadam AS (2011) A consecutive modal pushover procedure for nonlinear static analysis of one-way unsymmetric-plan tall building structures. Eng Struct 33:2417–2434

    Article  Google Scholar 

  • Poursha M, Khoshnoudian F, Moghadam AS (2014) The extended consecutive modal pushover procedure for estimating the seismic demands of two-way unsymmetric-plan tall buildings under influence of two horizontal components of ground motions. Soil Dyn Earthq Eng 63:162–173

    Article  Google Scholar 

  • Reyes JC (2009) Estimating seismic demands for performance-based engineering of buildings, Ph.D. dissertation. Department of Civil and Environmental Engineering, University of California, Berkeley

  • Reyes JC, Chopra AK (2011a) Three-dimensional modal pushover analysis of buildings subjected to two components of ground motion, including its evaluation for tall buildings. Earthq Eng Struct Dynam 40:789–806

    Article  Google Scholar 

  • Reyes JC, Chopra AK (2011b) Evaluation of three-dimensional modal pushover analysis for unsymmetric-plan buildings subjected to two components of ground motion. Earthq Eng Struct Dynam 40(13):1475–1494

    Article  Google Scholar 

  • SEAONC (2007) Recommended administrative bulletin on the seismic design and review of tall buildings using non-prescriptive procedures. Structural Engineers Association of Northern California, San Francisco

    Google Scholar 

  • Shakeri K, Shayanfar MA, Kabeyasawa T (2010) A story shear-based adaptive pushover procedure for estimating seismic demands of buildings. Eng Struct 32:174–183

    Article  Google Scholar 

  • Shakeri K, Tarbali K, Mohebbi M (2012) An adaptive modal pushover procedure for asymmetric-plan buildings. Eng Struct 36:160–172

    Article  Google Scholar 

  • Surmeli M (2016) An adaptive modal pushover analysis procedure to evaluate the earthquake performance of high-rise buildings, Ph.D. dissertation. Graduate School of Science and Technology, Istanbul Technical University, Istanbul

  • Surmeli M, Yuksel E (2012) A flexibility based beam-column element capable of shear-flexure interaction. In: 15th World conference on earthquake engineering, Lisbon, Portugal

  • Surmeli M, Yuksel E (2015) A variant of modal pushover analyses (VMPA) based on a non-incremental procedure. Bull Earthq Eng 13(11):3353–3379

    Article  Google Scholar 

  • Turkish Earthquake Code (TEC) (2007) Ministry of public works and settlement Government of Turkey

  • Vulcano A, Bertero VV, Colotti V (1988) Analytical modelling of RC structural walls. In: Proceedings, 9th World conference on Earthquake

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Authors and Affiliations

  1. Faculty of Engineering, İstanbul Kültür University, 34156, Bakırköy-İstanbul, Turkey

    M. Sürmeli

  2. Faculty of Civil Engineering, İstanbul Technical University, 34469, Maslak-İstanbul, Turkey

    E. Yüksel

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  1. M. Sürmeli
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  2. E. Yüksel
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Correspondence to E. Yüksel.

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Sürmeli, M., Yüksel, E. An adaptive modal pushover analysis procedure (VMPA-A) for buildings subjected to bi-directional ground motions. Bull Earthquake Eng 16, 5257–5277 (2018). https://doi.org/10.1007/s10518-018-0324-x

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  • DOI: https://doi.org/10.1007/s10518-018-0324-x

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