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Evaluation of integration methods for hybrid simulation of complex structural systems through collapse

  • Special Section: State-of-the-Art of Hybrid Testing Method
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Abstract

This study examines the performance of integration methods for hybrid simulation of large and complex structural systems in the context of structural collapse due to seismic excitations. The target application is not necessarily for real-time testing, but rather for models that involve large-scale physical sub-structures and highly nonlinear numerical models. Four case studies are presented and discussed. In the first case study, the accuracy of integration schemes including two widely used methods, namely, modified version of the implicit Newmark with fixed-number of iteration (iterative) and the operator-splitting (non-iterative) is examined through pure numerical simulations. The second case study presents the results of 10 hybrid simulations repeated with the two aforementioned integration methods considering various time steps and fixed-number of iterations for the iterative integration method. The physical sub-structure in these tests consists of a single-degree-of-freedom (SDOF) cantilever column with replaceable steel coupons that provides repeatable highlynonlinear behavior including fracture-type strength and stiffness degradations. In case study three, the implicit Newmark with fixed-number of iterations is applied for hybrid simulations of a 1:2 scale steel moment frame that includes a relatively complex nonlinear numerical substructure. Lastly, a more complex numerical substructure is considered by constructing a nonlinear computational model of a moment frame coupled to a hybrid model of a 1:2 scale steel gravity frame. The last two case studies are conducted on the same porotype structure and the selection of time steps and fixed number of iterations are closely examined in pre-test simulations. The generated unbalance forces is used as an index to track the equilibrium error and predict the accuracy and stability of the simulations.

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References

  • Takanashi, K, Udagawa K, Seki M, Okada T and Tanaka H (1975), “Nonlinear Earthquake Response Analysis of Structures by a Computer-actuator On-line System,” Bulletin of Earthquake Resistant Structure Research Centre

    Google Scholar 

  • Takanashi K and Nakashima M (1987) “Japanese Activities on On-line Testing,” Journal of Engineering Mechanics, 113(7): 1014–1032.

    Article  Google Scholar 

  • Mahin SA, Shing PSB, Thewalt CR and Hanson R D (1989), “Pseudodynamic Test Method -current Status and Future-Directions,” Journal of Structural Engineering-Asce, 115(8): 2113–2128.

    Article  Google Scholar 

  • Shing PB, Nakashima M and Bursi OS (1996), “Application of Pseudodynamic Test Method to Structural Research,” Earthquake Spectra, 12(1): 29–56.

    Article  Google Scholar 

  • Wang T, Mosqueda G, Jacobsen A and Cortes-Delgado, M (2012), “Performance Evaluation of a Distributed Hybrid Test Framework to Reproduce the Collapse Behavior of a Structure,” Earthquake Eng Struct Dyn, 41(2): 295–313.

    Article  Google Scholar 

  • Del Carpio Ramos M, Mosqueda G and Hashemi MJ (2015), “Large-scale Hybrid Simulation of a Steel Moment Frame Building Structure Through Collapse”, Journal of Structural Engineering, 142(1): 04015086.

    Article  Google Scholar 

  • Hashemi MJ, Mosqueda G, Lignos DG, Medina RA and Miranda E (2016), “Assessment of Numerical and Experimental Errors in Hybrid Simulation of Framed Structural Systems through Collapse,” Journal of Earthquake Engineering, 20(6): 885–909.

    Article  Google Scholar 

  • Hashemi MJ, Tsang HH, Al-Ogaidi Y, Wilson JL and Al-Mahaidi R (2017), “Collapse Assessment of Reinforced Concrete Building Columns through Multi-axis Hybrid Simulation”, Structural Journal, 114(02)

    Google Scholar 

  • Nakashima M, Kaminosono T and Ishida M (1990), “Integration Techniques for Substructure Pseudodynamic Test,” 4th U.S. National Conference on Earthquake Engineering, Palm Springs, California.

    Google Scholar 

  • Chen C and Ricles JM (2008), “Development of Direct Integration Algorithms for Structural Dynamics Using Discrete Control Theory,” Journal of Engineering Mechanics-Asce, 134(8): 676–683.

    Article  Google Scholar 

  • Schellenberg AH, Mahin SA and Fenves GL (2009), “Advanced Implementation of Hybrid Simulation,” Pacific Earthquake Engineering Research Center, University of California, Berkeley, U.S.

    Google Scholar 

  • Wu B, Xu GS, Wang QY and Williams MS (2006) “Operator-splitting Method for Real-time Substructure Testing,” Earthquake Engineering & Structural Dynamics, 35(3): 293–314.

    Article  Google Scholar 

  • Bonnet RA, Williams MS and Blakeborough A (2008), “Evaluation of Numerical Time-integration Schemes for Real-time Hybrid Testing,” Earthquake Engineering & Structural Dynamics, 37(13): pp 1467–1490.

    Article  Google Scholar 

  • Chen C, Ricles JM, Marullo TM and Mercan O (2009) “Real-time Hybrid Testing Using the Unconditionally Stable Explicit CR Integration Algorithm,” Earthquake Engineering & Structural Dynamics, 38(1): pp 23–44.

    Article  Google Scholar 

  • Zhu F, Wang JT, Jin F and Gui Y (2016) “Comparison of Explicit Integration Algorithms for Real-time Hybrid Simulation,” Bulletin of Earthquake Engineering, 14(1): 89–114.

    Article  Google Scholar 

  • Mosqueda G and Ahmadizadeh M (2011), “Iterative Implicit Integration Procedure for Hybrid Simulation of Large Nonlinear Structures,” Earthquake Engineering & Structural Dynamics, 40(9): 945–960.

    Article  Google Scholar 

  • Dermitzakis SN and Mahin SA, (1985) “Development of Substructuring Techniques for On-line Computer Controlled Seismic Performance Testing,” Earthquake Engineering Research Center, University of California Berkeley, US.

    Google Scholar 

  • Hughes TJR and Liu WK (1978), “Implicit-explicit Finite-elements in Transient Analysis -stability Theory,” Journal of Applied Mechanics-transactions of the Asme, 45(2): 371–374.

    Article  Google Scholar 

  • Hughes TJR, Pister KS and Taylor RL (1979), “Implicitexplicit Finite-elements in Non-linear Transient Analysis,” Computer Methods in Applied Mechanics and Engineering, 17–8(Jan): 159–182.

    Article  Google Scholar 

  • OpenSees (2015) “The Open System for Earthquake Engineering Simulation,” Pacific Earthquake Engineering Research Center, UC Berkeley, U.S.

    Google Scholar 

  • OpenFresco (2015) “The Open-source Framework for Experimental Setup and Control,” Pacific Earthquake Engineering Research Center, UC Berkeley, U.S.

    Google Scholar 

  • Newmark NM (1959), “A Method of Computation for Structural Dynamics,” Journal of Engineering Mechanics, ASCE, 67.

  • Dorka UE and Heiland D (1991), “Fast Online Earthquake Utilizing a Novel PC Supported Measurement and Control Concept,” 4th Conference on Structural DynamicsSouthampton, UK

    Google Scholar 

  • Shing PSB, Vannan MT and Cater E (1991), “Implicit Time Integration for Pseudodynamic Tests,” Earthquake Engineering & Structural Dynamics, 20(6): 551–576.

    Article  Google Scholar 

  • Zhong W (2005), “Fast Hybrid Test System for Substructure Evaluation,” PhD Dissertation, University of Colorado Boulder, U.S.

    Google Scholar 

  • The MathWorks Inc. (2014), “MATLAB R2014b,” Massachusetts, U.S.

    Google Scholar 

  • Sivaselvan MV and Reinhorn AM (2000), “Hysteretic Models for Deteriorating Inelastic Structures,” Journal of Engineering Mechanics-Asce, 126(6): 633–640.

    Article  Google Scholar 

  • Filiatrault A, Tinawi R and Leger P (1992) “The Use of Energy Balance in Nonlinear Seismic Analysis,” 10th World Conference in Earthquake EngineeringMadrid, Spain.

    Google Scholar 

  • Ibarra LF, Medina RA and Krawinkler H (2005), “Hysteretic Models That Incorporate Strength and Stiffness Deterioration,” Earthquake Engineering & Structural Dynamics, 34(12): 1489–1511.

    Article  Google Scholar 

  • Lignos DG and Krawinkler H (2011), “Deterioration Modeling of Steel Components in Support of Collapse Prediction of Steel Moment Frames under Earthquake Loading”, Journal of Structural Engineering-Asce, 137(11): 1291–1302.

    Article  Google Scholar 

  • Schellenberg A, Huang Y and Mahin SA (2008), “Structural FE-software Coupling Through the Experimental Software Framework, OpenFresco,” 14th World Conference on Earthquake Engineering, Beijing, China.

    Google Scholar 

  • Hashemi MJ and Mosqueda G (2014), “Innovative Substructuring Technique for Hybrid Simulation of Multistory Buildings Through Collapse,” Earthquake Engineering & Structural Dynamics, 43(14): 2059–2074.

    Article  Google Scholar 

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Acknowledgement

This work was primarily supported by the National Science Foundation (NSF) under grant CMMI-0748111 with additional support from the NEES equipment at the University at Buffalo supported by NSF. This support is gratefully acknowledged. Any opinions, findings, and conclusion or recommendation expressed in this paper are those of the authors and do not necessarily reflect the views of the National Science Foundation.

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Authors and Affiliations

  1. KPFF Consulting Engineers, Los Angeles, CA, 90045, USA

    Maikol Del Carpio R.

  2. Faculty of Science, Engineering and Technology, Swinburne University of Technology, Melbourne, VIC, 3122, Australia

    M. Javad Hashemi

  3. Department of Structural Engineering, University of California, San Diego, CA, 92093, USA

    Gilberto Mosqueda

Authors
  1. Maikol Del Carpio R.
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  2. M. Javad Hashemi
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  3. Gilberto Mosqueda
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Correspondence to M. Javad Hashemi.

Additional information

Supported by: National Science Foundation (NSF) under grant No. CMMI-0748111

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Del Carpio R., M., Hashemi, M.J. & Mosqueda, G. Evaluation of integration methods for hybrid simulation of complex structural systems through collapse. Earthq. Eng. Eng. Vib. 16, 745–759 (2017). https://doi.org/10.1007/s11803-017-0411-z

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  • DOI: https://doi.org/10.1007/s11803-017-0411-z

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