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Pseudo-Dynamic Testing Based on Non-linear Dynamic Substructuring of a Reinforced Concrete Bridge

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Experimental Research in Earthquake Engineering

Abstract

The assessment of the seismic performance of an old concrete bridge was conceived within the RETRO Transnational Activity funded by the SERIES research project. The installation of isolation devices -one per column- for each pier portal frame interposed between the cap beam and the deck was proposed as seismic retrofit, fully complying with Eurocode 8 requirements. A comprehensive set of hybrid simulations was conceived to simulate the dynamic response of the existing 400 m span Rio Torto Viaduct, both in the isolated and the non-isolated cases. In order to support the pseudo-dynamic test design, a refined fiber based FE model of the bridge was implemented in the well-known OpenSEES software; time history analyses highlighted appreciable nonlinearities in the dynamic response of the system under the Serviceability Limit State (SLS). As a consequence, a Numerical Substructure (NS) capable of reproducing such nonlinear behaviour was deemed necessary. Nonetheless, implementation issues relevant to the typical solving time dictated by the controller time step, made the use of complex fiber based FE models not suitable for testing purposes. In this perspective, the paper presents the design of a suitable NS, which is based on a rational and nonlinear reduction of the aforementioned OpenSEES Reference Model (RM). Moreover, in order to impose a consistent degradation of physical and numerical piers, a testing procedure based on recursive identification and model updating sessions is proposed. The numerical tools and simulations developed in the project are presented and discussed.

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References

  • Bonelli A, Bursi OS, He L, Magonette G, Pegon P (2008) Convergence analysis of a parallel interfield method for heterogeneous simulations with substructuring. IJNME 75(7):800–825

    Article  MATH  Google Scholar 

  • Craig R, Bampton M (1968) Coupling of substructures in dynamic analysis, American Institute of Aeronautics and Astronautics Journal, Vol. 6 (7)

    Google Scholar 

  • Eurocode 8-Part 2, (2006) Design of Structures for Earthquake Resistance: Bridges

    Google Scholar 

  • Fardis MN (2009) Seismic Engineering Research Infrastructures for European synergies, SERIES project, Grant number: 227887, 2009–2013

    Google Scholar 

  • Guyan RJ (1965) Reduction of stiffness and mass matrices, American Institute of Aeronautics and Astronautics Journal, 3(2), 380

    Google Scholar 

  • Kent DC, Park R (1971) Flexural members with confined concrete. J Struct Div ASCE 97:1969–1990

    Google Scholar 

  • Kumar S, Itoh Y, Saizuka K, Usami T (1997) Pseudodynamic testing of scaled models. J Struct Eng 123(4):524–526. doi:10.1061/(ASCE)0733-9445(1997)123:4(524)

    Article  Google Scholar 

  • Kwon OS, Kammula V (2013) Model updating method for substructure pseudo-dynamic hybrid simulation. Earthquake Engineering & Structural Dynamics, 42(13), 1971–1984. doi:10.1002/eqe.2307

    Google Scholar 

  • Menegotto M, Pinto PE (1973) Method of analysis for cyclically loaded R.C. plane frames including change in geometry and non-linear behavior of elements under combined normal force and bending. Proc. of IABSE symposium on resistance and ultimate deformability of structures acted on by well defined repeated loads, vol 13, 1973; 15–22

    Google Scholar 

  • Mostaghel N (1999) Analytical description of pinching, degrading hysteretic systems. J Eng Mech 125(2):216–224. doi:10.1061/(ASCE) 0733-9399 (1999) 125:2(216)

    Article  Google Scholar 

  • OpenSees (2009) Open system for earthquake engineering simulation. http://opensees.berkeley.edu. Accessed 10 Jan 2011

  • Paolacci F, Giannini R (2012) An experimental and numerical investigation on the cyclic response of a portal frame pier belonging to an old reinforced concrete viaduct. Earthquake Engineering & Structural Dynamics, 41(6), 1109–1127. doi:10.1002/eqe.1175

    Google Scholar 

  • Pegon P, Magonette G (2002) Continuous PSD testing with nonlinear substructuring: presentation of a stable parallel inter-field procedure. Technical report 1.02.167, E.C., JRC, ELSA, Ispra, Italy

    Google Scholar 

  • Taucer F (2011) Seismic engineering research infrastructures for European synergies: activities of the Joint Research Centre in large scale experimental testing within the framework of the eurocodes. In: 7th International conference on structural defects and rehabilitation, Fortaleza, Brazil, 2–4 June 2011

    Google Scholar 

  • Yang YS, Tsai KC, Elnashai AS, Hsieh TJ (2012) An online optimization method for bridge dynamic hybrid simulations. Simul Model Pract Theory 28:42–54. doi:10.1016/j.simpat.2012.06.002

    Article  Google Scholar 

Download references

Acknowledgement

The research leading to these results has received funding from the European Community’s Seventh Framework Programme [FP7/2007–2013] for access to the EUROPEAN LABORATORY FOR STRUCTURAL ASSESSMENT of the EUROPEAN COMMISSION—JOINT RESEARCH CENTRE under grant agreement n° 227887. Opinions are those of the authors and do not represent those of the European Commission.

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Correspondence to Giuseppe Abbiati .

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Abbiati, G. et al. (2015). Pseudo-Dynamic Testing Based on Non-linear Dynamic Substructuring of a Reinforced Concrete Bridge. In: Taucer, F., Apostolska, R. (eds) Experimental Research in Earthquake Engineering. Geotechnical, Geological and Earthquake Engineering, vol 35. Springer, Cham. https://doi.org/10.1007/978-3-319-10136-1_7

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