Skip to main content
Log in

A new integration scheme for application to seismic hybrid simulation

  • Published:
Earthquake Engineering and Engineering Vibration Aims and scope Submit manuscript

Abstract

Hybrid simulation is a powerful test method for evaluating the seismic performance of structural systems. This method makes it feasible that only critical components of a structure be experimentally tested. This paper presents a newly proposed integration algorithm for seismic hybrid simulation which is aimed to extend its capabilities to a wide range of systems where existing methods encounter some limitations. In the proposed method, which is termed the variable time step (VTS) integration method, an implicit scheme is employed for hybrid simulation by eliminating the iterative phase on experimental element, the phase which is necessary in regular implicit applications. In order to study the effectiveness of the VTS method, a series of numerical investigations are conducted which show the successfulness of the VTS method in obtaining accurate, stable and converged responses. Then, in a comparative approach, the improved accuracy of the VTS method over commonly used integration methods is demonstrated. The stability of the VTS method is also studied and the results show that it provides conditional stability; however, its stability limit is well beyond the accuracy limit. The effect of time delay on the VTS method results is also investigated and it is shown that the VTS method is quite successful in handling this experimental error.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Ahmadizadeh M and Mosqueda G (2008), “Hybrid Simulation with Improved Operator-splitting Integration Using Experimental Tangent Stiffness Matrix Estimation,” Journal of Structural Engineering, 134(12): 1829–1838.

    Article  Google Scholar 

  • Ahmadizadeh M, Mosqueda G and Reinhorn AM (2008), “Compensation of Actuator Delay and Dynamics for Real-time Hybrid Structural Simulation,” Earthquake Engineering and Structural Dynamics, 37(1): 21–42.

    Article  Google Scholar 

  • Carrion JE and Spencer BF (2006), “Real-time Hybrid Testing Using Model-based Delay Compensation,” 4th International Conference on Earthquake Engineering, Taipei, Taiwan.

    Google Scholar 

  • Chang SY (2007), “Enhanced, Unconditional Stable, Explicit Pseudodynamic Algorithm,” Journal of Engineering Mechanics, 133(5): 541–554.

    Article  Google Scholar 

  • Chang SY (2010), “Explicit Pseudodynamic Algorithm with Improved Stability Properties,” Journal of Engineering Mechanics, 136(5): 599–612.

    Article  Google Scholar 

  • Chang SY (2013), “An Explicit Structure-dependent Algorithm for Pseudodynamic Testing,” Engineering Structures, 46: 511–525.

    Article  Google Scholar 

  • Darby AP, Williams MS and Blakeborough A (2002), “Stability Delay Compensation for Realtime Substructure Testing,” Journal of Engineering Mechanics, 128(12): 1276–1284.

    Article  Google Scholar 

  • Horiuchi T and Konno T (2001), “A New Method for Compensating Actuator Delay in Real-time Hybrid Experiments,” Philosophical Transactions of the Royal Society of London Series A-Mathematical Physical and Engineering Sciences, 359: 1786–1893.

    Google Scholar 

  • Hung CC and El-Tawil S (2009a), “A Method for Estimating Specimen Tangent Stiffness for Hybrid Simulation,” Earthquake Engineering and Structural Dynamics, 38: 115–134.

    Article  Google Scholar 

  • Hung CC and El-Tawil S (2009b), “Full Operator Algorithm for Hybrid Simulation,” Earthquake Engineering and Structural Dynamics, 38: 1545–1561.

    Article  Google Scholar 

  • Mahin SA and Shing PSB (1985), “Pseudodynamic Method for Seismic Testing,” Journal of Structural Engineering, 111(7): 1482–1503.

    Article  Google Scholar 

  • Mosqueda G (2003), “Continuous Hybrid Simulation with Geographically Distributed Substructures,” PhD Dissertation, Civil and Environmental Engineering in the Graduate Division of the University of California, Berkeley.

    Google Scholar 

  • Mosqueda G and Ahmadizadeh M (2007), “Combined Implicit or Explicit Integration Steps for Hybrid Simulation,” Earthquake Engineering and Structural Dynamics, 36: 2325–2343.

    Article  Google Scholar 

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

    Article  Google Scholar 

  • Mosqueda G, Stojadinovic B and Mahin SA (2007), “Real-time Error Monitoring for Hybrid Simulation. II: Structural Response Modification with Error,” Journal of Structural Engineering, 133(8): 1109–1117.

    Article  Google Scholar 

  • Nakashima M, Kaminoso T, Ishida M and Kazuhiro A (1990), “Integration Techniques for Substructure Online Test,” 4th US National Conference of Earthquake Engineering, Palm Springs, CA, 515–524.

    Google Scholar 

  • Nakashima M and Masaoka N (1999), “Real-time Online Test for MDOF Systems,” Earthquake Engineering and Structural Dynamics, 28(4): 393–420.

    Article  Google Scholar 

  • Newmark NM (1959), “A Method of Computation for Structural Dynamics,” Journal of Engineering Mechanics, 85: 67–94.

    Google Scholar 

  • Shing PSB, Nakashima M and Bursi O (1996), “Application of Pseudodynamic Test Method to Structural Research,” Earthquake spectra, 12: 29–56.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Abbas Ali Tasnimi.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Zakersalehi, M., Tasnimi, A.A. & Ahmadizadeh, M. A new integration scheme for application to seismic hybrid simulation. Earthq. Eng. Eng. Vib. 16, 69–81 (2017). https://doi.org/10.1007/s11803-017-0369-x

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11803-017-0369-x

Keywords

Navigation