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Establishing a stability switch criterion for effective implementation of real-time hybrid simulation

  • Maghareh, Amin (School of Civil Engineering, Purdue University) ;
  • Dyke, Shirley J. (School of Mechanical Engineering, Purdue University) ;
  • Prakash, Arun (School of Civil Engineering, Purdue University) ;
  • Rhoads, Jeffrey F. (School of Mechanical Engineering, Purdue University)
  • Received : 2014.03.09
  • Accepted : 2014.08.30
  • Published : 2014.12.25

Abstract

Real-time hybrid simulation (RTHS) is a promising cyber-physical technique used in the experimental evaluation of civil infrastructure systems subject to dynamic loading. In RTHS, the response of a structural system is simulated by partitioning it into physical and numerical substructures, and coupling at the interface is achieved by enforcing equilibrium and compatibility in real-time. The choice of partitioning parameters will influence the overall success of the experiment. In addition, due to the dynamics of the transfer system, communication and computation delays, the feedback force signals are dependent on the system state subject to delay. Thus, the transfer system dynamics must be accommodated by appropriate actuator controllers. In light of this, guidelines should be established to facilitate successful RTHS and clearly specify: (i) the minimum requirements of the transfer system control, (ii) the minimum required sampling frequency, and (iii) the most effective ways to stabilize an unstable simulation due to the limitations of the available transfer system. The objective of this paper is to establish a stability switch criterion due to systematic experimental errors. The RTHS stability switch criterion will provide a basis for the partitioning and design of successful RTHS.

Acknowledgement

Supported by : NSF

References

  1. Ahmadizadeh, M. (2007), Real-time seismic hybrid simulation procedures for reliable structural performance testing, University of New York at Buffalo.
  2. Beretta, E. and Kuang, Y. (2002), "Geometric stability switch criteria in delay differential systems with delay dependent parameters", SIAM J. Math. Anal. 33(5), 1144-1165. doi:10.1137/S0036141000376086. https://doi.org/10.1137/S0036141000376086
  3. Carrion, J.E. and Spencer Jr., B.F. (2007), Model-based strategies for real-time hybrid testing, Newmark Structural Engineering Laboratory, University of Illinois at Urbana-Champaign.
  4. Castaneda, N., Gao, X. and Dyke, S.J. (2012), "A real-time hybrid testing platform for the evaluation of seismic mitigation in building structures", Proceedings of the 2012 Structures Congress Conference.
  5. Chen, C., Ricles, J.M., Karavasilis, T.L., Chae, Y. and Sause, R. (2012), "Evaluation of a real-time hybrid simulation system for performance evaluation of structures with rate dependent devices subjected to seismic loading", Eng. Struct., 35, 71-82. doi:10.1016/j.engstruct.2011.10.006. https://doi.org/10.1016/j.engstruct.2011.10.006
  6. Chen, C. and Ricles, J.M. (2009), "Analysis of actuator delay compensation methods for real-time testing", Eng. Struct., 31(11), 2643-2655. doi:10.1016/j.engstruct.2009.06.012. https://doi.org/10.1016/j.engstruct.2009.06.012
  7. Chen, C., Valdovinos, J. and Santiallno, H. (2013), "Reliability assessment of real-time hybrid simulation results for seismic hazard mitigation", Proceedings of the Structures Congress 2013, 2346-2357. Reston, VA: American Society of Civil Engineers. doi:10.1061/9780784412848.205. https://doi.org/10.1061/9780784412848.205
  8. Christenson, R., Lin, Y.Z., Emmons, A. and Bass, B. (2008). "Large-scale experimental verification of semiactive control through real-time hybrid simulation1", J. Struct. Eng.- ASCE 134(4), 522-534. doi:10.1061/(ASCE)0733-9445(2008)134:4(522). https://doi.org/10.1061/(ASCE)0733-9445(2008)134:4(522)
  9. Darby, A.P., Williams, M.S. and Blakeborough, A. (2002), "Stability and delay compensation for real-time substructure testing", J. Eng. Mech. - ASCE 128(12), 1276-1284. doi:10.1061/(ASCE)0733-9399(2002)128:12(1276). https://doi.org/10.1061/(ASCE)0733-9399(2002)128:12(1276)
  10. Dihoru, L, and Bonzi, A. (2010), Performance requirements of actuation systems for shaking table and pseudo-dynamic testing, Deliverable D12.1, SERIES: Seismic Engineering Research Infrastructures for European Synergies.
  11. Dyke, S.J., Stojadinovic, B., Arduino, P., Garlock, M., Luco, N., Ramirez, J.A. and Yim, S. (2010), "2020 vision for earthquake engineering research: report on an open space technology workshop on the future of earthquake engineering", Vol. 20. http://nees.org/resources/1636.
  12. Dyke, S.J., Spencer Jr., B.F., Quast, P. and Sain, M.K. (1995), "Role of control-structure interaction in protective system design", J. Eng. Mech.- ASCE, 121(2), 322-338. doi:10.1061/(ASCE)0733-9399(1995)121:2(322). https://doi.org/10.1061/(ASCE)0733-9399(1995)121:2(322)
  13. Friedman, A.J., Zhang, J., Phillips, B., Jiang, Z., Agrawal, A., Dyke, S.J., Ricles, J., Spencer Jr., B.F., Sause, R. and Christenson, R. (2010), "Accommodating MR damper dynamics for control of large scale structural systems", Proceedings of the 5th World Conference on Structural Control and Monitoring, Tokyo, Japan. https://nees.org/resources/674.
  14. Gao, X. (2012), "Development of a robust framework for real-time hybrid simulation: from dynamical system, motion control to experimental error verification", NEES. http://nees.org/resources/5065.
  15. Horiuchi, T., Inoue, M., Konno, T. and Yamagishi, W. (1999), "Development of a real-time hybrid experimental system using a shaking table (Proposal of Experimental Concept and Feasibility Study with Rigid Secondary System)", JSME Int., 42(2), 255-264.
  16. Horiuchi, T., Nakagawa, M. Sugano, M. and Konno, T. (1996), "Development of a real-time hybrid experimental system with actuator delay compensation", Proceedings of the 11th World Conf. Earthquake Engineering.
  17. Jiang, Z. and Christenson, R. (2011), "A comparison of 200 kN magneto-rheological damper models for use in real-time hybrid simulation pre-testing", Smart Mater. Struct., 20(6), 065011. doi:10.1088/0964-1726/20/6/065011. https://doi.org/10.1088/0964-1726/20/6/065011
  18. MacDonald, N. (1989), Biological Delay Systems: Linear Stability Theory, Cambridge: Cambridge University Press.
  19. Maghareh, A. and Dyke, S.J. (2013), "Stability and performance analysis of SDOF real-time hybrid simulation", https://engineering.purdue.edu/IISL/publicationtr.html.
  20. Maghareh, A., Dyke, S.J., Ou, G. and Qian, Y. (2013), "Investigation of uncertainties associated with actuation modeling error and sensor noise on real-time hybrid simulation performance", Proceedings of the 2013 International Conference on Computing, Networking and Communications (ICNC), 210-214. IEEE. doi:10.1109/ICCNC.2013.6504082. http://ieeexplore.ieee.org/lpdocs/epic03/wrapper.htm?arnumber=6504082. https://doi.org/10.1109/ICCNC.2013.6504082
  21. Maghareh, A., Dyke, S.J., Prakash, A. and Bunting. G.B. (2013), "Establishing a predictive performance indicator for real-time hybrid simulation", Earthq. Eng. Struct. D., (in press).
  22. Maghareh, A., Dyke, S.J., Prakash, A., Bunting, G. and Lindsay, P. (2012), "Evaluating modeling choices in the implementation of real-time hybrid simulation", Proceedings of the EMI/PMC 2012 Joint Conference of the Engineering Mechanics Institute and the 11th ASCE Joint Specialty Conference on Probabilistic Mechanics and Structural Reliability. Notre Dame, IN. https://nees.org/resources/4699.
  23. Maghareh, A., Lin, F., Dyke, S.J. and Prakash, A. (2014), "Development of new predictive stability and performance metrics for real-time hybrid simulation", NEES, doi:TBD. https://nees.org/warehouse/project/1205/.
  24. Maghareh, A., Dyke, S.J., Prakash, A., Bunting, G. and Lindsay, P. (2012), "Evaluating modeling choices in the implementation of real-time hybrid simulation", Proceedings of the 11th ASCE Joint Specialty Conference on Probabilistic Mechanics and Structural Reliability.
  25. Mosqueda, G., Stojadinovic, B. and Mahin, S. (2005), "Implementation and accuracy of continuous hybrid simulation with geographically distributed substructures", http://research.eerc.berkeley.edu/nees/Events/200604a--workshop-hybridsim/ ERCreport-Hybrid02.pdf.
  26. Mosqueda, G., Stojadinovic, B. and Mahin, S. (2007), "Real-time error monitoring for hybrid simulation. part II: structural response modification due to errors", J. Struct. Eng. - ASCE, 133(8), 1109-1117. doi:10.1061/(ASCE)0733-9445(2007)133:8(1109). https://doi.org/10.1061/(ASCE)0733-9445(2007)133:8(1109)
  27. Mosqueda, G., Stojadinovic, B. and Mahin, S.A. (2007a), "Real-time error monitoring for hybrid simulation. part I: methodology and experimental verification", J. Struct. Eng. - ASCE, 133(8), 1100-1108. doi:10.1061/(ASCE)0733-9445(2007)133:8(1100). http://ascelibrary.org/doi/abs/10.1061/(ASCE)0733-9445(2007)133:8(1100). https://doi.org/10.1061/(ASCE)0733-9445(2007)133:8(1100)
  28. Mosqueda, G., Stojadinovic, B. and Mahin, S.A. (2007b), "Real-time error monitoring for hybrid simulation. part II: structural response modification due to errors", J. Struct. Eng.- ASCE, 133(8) 1109-1117. doi:10.1061/(ASCE)0733-9445(2007)133:8(1109). http://ascelibrary.org/doi/abs/10.1061/(ASCE)0733-9445(2007)133:8(1109). https://doi.org/10.1061/(ASCE)0733-9445(2007)133:8(1109)
  29. Ou, G., Dyke, S.J., Wu, B., Ozdagli, A.I. and Li, B. (2013), "Robusted integrated actuator control strategy for real time hybrid simulation", Proceedings of the SERIES Concluding Workshop - Joint with US-NEES "Earthquake Engineering Research Infrastructures", Ispra.
  30. Phillips, B.M. and Spencer Jr., B.F. (2013), "Model-based multiactuator control for real-time hybrid simulation", J. Eng. Mech.- ASCE, 139(2), 219-228. doi:10.1061/(ASCE)EM.1943-7889.0000493. https://doi.org/10.1061/(ASCE)EM.1943-7889.0000493
  31. Schellenberg, A. and Mahin, S. (2006), "Integration of hybrid simulation within the general-purpose computational framework opensees", Proceedings of the 100th Anniversary Earthquake Conference.
  32. Shao, X., Reinhorn, A.M. and Sivaselvan, M.V. (2011), "Real-time hybrid simulation using shake tables and dynamic actuators", J. Struct. Eng. - ASCE, 137(7), 748-760. doi:10.1061/(ASCE)ST.1943-541X.0000314. https://doi.org/10.1061/(ASCE)ST.1943-541X.0000314
  33. Shing, P.B., Wei, Z., Jung, R.Y. and Stauffer, E. (2004), "NEES fast hybrid test system at the university of Colorado", Proceedings of the 13th World Conference on Earthquake Engineering (3497).
  34. Shing, P.B. and Mahin, S.A. (1984), "Pseudodynamic test method for seismic performance evaluation: theory and implementation".
  35. Shing, P.B., Nakashima, M. and Bursi, O.S. (1996), "Application of psuedodynamic test method to structural research", Earthq. Spectra, 12(1), 29-56. https://doi.org/10.1193/1.1585867
  36. Wagg, D.J. and Stoten, D.P. (2001), "Substructuring of dynamical systems via the adaptive minimal control synthesis algorithm", Earthq. Eng. Struct. D., 30(6), 865-877. doi:10.1002/eqe.44. https://doi.org/10.1002/eqe.44
  37. Wallace, M.I., Sieber, J., Neild, S.A., Wagg, D. J. and Krauskopf, B. (2005), "Stability analysis of real-time dynamic substructuring using delay differential equation models", Earthq. Eng. Struct. D., 34(15) 1817-1832. doi:10.1002/eqe.513. https://doi.org/10.1002/eqe.513
  38. Zhao, J., French, C., Shield, C. and Posbergh, T. (2003), "Considerations for the development of real-time dynamic testing using servo-hydraulic actuation", Earthq. Eng. Struct. D., 32(11), 1773-1794. doi:10.1002/eqe.301. https://doi.org/10.1002/eqe.301

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