New Method for Real-Time Hybrid Testing with a Global Iteration Strategy
Publication: Journal of Structural Engineering
Volume 144, Issue 12
Abstract
In current real-time hybrid testing (RTHT), command displacement is applied to the experimental substructure and a restoring force is fed back to the integration algorithm at each time step between the numerical and physical substructures, during which synchronization must be maintained to achieve the real-time effect. These inherent characteristics in RTHT raise its requirements for the numerical integration method and make it sensitive to servohydraulic time delay. This paper proposes a new method of RTHT, GI-RTHT, in which the numerical and experimental substructures are independent without any data exchange during the duration of seismic action. This feature enables GI-RTHT to use existing advanced integration algorithms, many of which have superior stability and accuracy, just like when they are used in pure numerical simulations. Furthermore, the effect of actuator time delay on numerical integration algorithm disappears. To achieve compatibility and equilibrium at the interfaces between the substructures, an iteration is involved within the time scale of the duration of the earthquake, which is similar to the iteration solution algorithm for the equation. The stability of GI-RTHT is analyzed theoretically. The applicability and stability of GI-RTHT are evaluated based on tests on a cable-stayed bridge with 5,090 degrees of freedom and 24 nonlinear links, which is considerably larger and more complex than published models of RTHT. Excellent results are achieved in the testing. Approximate convergent solutions are reached after five iterations. This work presents a novel procedure for RTHT that is particularly suitable for systems with reusable devices/components selected as the experimental substructure.
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Acknowledgments
This work was funded by Project 51508351, 51508350 supported by the Natural Science Foundation of China (NSFC), Project E2017210117 supported by the Natural Science Foundation of Hebei Province and Project ZD2017071 supported by the Education Department of Hebei Province.
References
Ahmadizadeh, M., G. Mosqueda, and A. M. Reinhorn. 2008. “Compensation of actuator delay and dynamics for real-time hybrid structural simulation.” Earthquake Eng. Struct. Dyn. 37 (1): 21–42. https://doi.org/10./eqe.743.
Blakeborough, A., M. S. Williams, A. Darby, and D. Williams. 2001. “The development of real-time substructure testing.” Philos. Trans. R. Soc. London Ser. A 359 (1786): 1869–1891. https://doi.org/10.1098/rsta.2001.0877.
Bonnet, P. A., C. N. Lim, M. Williams, A. Blakeborough, S. A. Neild, D. P. Stoten, and C. A. Taylor. 2007. “Real-time hybrid experiments with Newmark integration, MCSmd outer-loop control and multi-tasking strategies.” Earthquake Eng. Struct. Dyn. 36 (1): 119–141. https://doi.org/10.1002/eqe.628.
Cai, C. S., W. J. Wu, and M. Araujo. 2007. “Cable vibration control with a TMD-MR damper system: Experimental exploration.” J. Struct. Eng. 133 (5): 629–637. https://doi.org/10.1061/(ASCE)0733-9445(2007)133:5(629).
Cha, Y., J. Zhang, A. K. Agrawal, B. Dong, A. Friedman, S. J. Dyke, and J. M. Ricles. 2013. “Comparative studies of semiactive control strategies for MR dampers: Pure simulation and real-time hybrid tests.” J. Struct. Eng. 139 (7): 1237–1248. https://doi.org/10.1061/(ASCE)ST.1943-541X.0000639.
Chen, C., and J. M. Ricles. 2008. “Development of direct integration algorithms for structural dynamics using discrete control theory.” J. Eng. Mech. 134 (8): 676–683. https://doi.org/10.1061/(ASCE)0733-9399(2008)134:8(676).
Chen, C., and J. M. Ricles. 2010. “Tracking error-based servohydraulic actuator adaptive compensation for real-time hybrid simulation.” J. Struct. Eng. 136 (4): 432–440. https://doi.org/10.1061/(ASCE)ST.1943-541X.0000124.
Chen, C., J. M. Ricles, and T. Guo. 2012. “Improved adaptive inverse compensation technique for real-time hybrid simulation.” J. Eng. Mech. 138 (12): 1432–1446. https://doi.org/10.1061/(ASCE)EM.1943-7889.0000450.
Chen, C., J. M. Ricles, T. Marullo, and O. Mercan. 2009. “Real-time hybrid testing using the unconditionally stable explicit CR integration algorithm.” Earthquake Eng. Struct. Dyn. 38 (1): 23–44. https://doi.org/10.1002/eqe.838.
Chopra, A. K. 2001. Dynamics of structures: Theory and applications to earthquake engineering. 2th ed. Englewood Cliffs, NJ: Prentice Hall.
Christenson, R. E., Y. Z. Lin, A. Emmons, and B. J. Bass. 2008. “Large-scale experimental verification of semiactive control through real-time hybrid simulation.” J. Struct. Eng. 134 (4): 522–534. https://doi.org/10.1061/(ASCE)0733-9445(2008)134:4(522).
Darby, A., A. Blakeborough, and M. S. Williams. 1999. “Real-time substructure tests using hydraulic actuator.” J. Eng. Mech. 125 (10): 1133–1139. https://doi.org/10.1061/(ASCE)0733-9399(1999)125:10(1133).
Darby, A. P., M. S. Williams, and A. Blakeborough. 2002. “Stability and delay compensation for real-time substructure testing.” J. Eng. Mech. 128 (12): 1276–1284. https://doi.org/10.1061/(ASCE)0733-9399(2002)128:12(1276).
Friedman, A., S. J. Dyke, B. M. Phillips, R. Ahn, B. Dong, Y. Chae, and R. Sause. 2015. “Large-scale real-time hybrid simulation for evaluation of advanced damping system performance.” J. Struct. Eng. 141 (6): 04014150. https://doi.org/10.1061/(ASCE)ST.1943-541X.0001093.
Hakuno, M., M. Shidawara, and T. Hara. 1969. “Dynamic destructive test of a cantilever beam, controlled by an analog-computer.” [In Japanese.] Proc. Trans. Jpn. Soc. Civ. Eng. 171: 1–9.
Horiuchi, T., M. Inoue, T. Konno, and Y. Namita. 1999. “Real-time hybrid experimental system with actuator delay compensation and its application to a piping system with energy absorber.” Earthquake Eng. Struct. Dyn. 28 (10): 1121–1141. https://doi.org/10.1002/(SICI)1096-9845(199910)28:10%3C1121::AID-EQE858%3E3.0.CO;2-O.
Horiuchi, T., and T. Konno. 2001. “A new method for compensating actuator delay in real-time hybrid experiments.” Philos. Trans. R. Soc. London Ser. A 359 (1786): 1893–1909. https://doi.org/10.1098/rsta.2001.0878.
Jung, R., and P. B. Shing. 2006. “Performance evaluation of a real-time pseudodynamic test system.” Earthquake Eng. Struct. Dyn. 35 (7): 789–810. https://doi.org/10.1002/eqe.547.
Jung, R., P. B. Shing, E. Stauffer, and B. Thoen. 2007. “Performance of a real-time pseudodynamic test system considering nonlinear structural response.” Earthquake Eng. Struct. Dyn. 36 (12): 1785–1809. https://doi.org/10.1002/eqe.722.
Lee, K., C. Fan, R. Sause, and J. M. Ricles. 2005. “Simplified design procedure for frame buildings with viscoelastic or elastomeric structural dampers.” Earthquake Eng. Struct. Dyn. 34 (10): 1271–1284. https://doi.org/10.1002/eqe.479.
Li, X., A. I. Ozdagli, S. J. Dyke, X. Lu, and R. Christenson. 2017. “Development and verification of distributed real-time hybrid simulation methods.” J. Comput. Civ. Eng. 31 (4): 04017014. https://doi.org/10.1061/(ASCE)CP.1943-5487.0000654.
Mahin, S. A., and P. B. Shing. 1985. “Pseudodynamic method for seismic testing.” J. Struct. Eng. 111 (7): 1482–1503. https://doi.org/10.1061/(ASCE)0733-9445(1985)111:7(1482).
Mahin, S. A., P. B. Shing, C. R. Thewalt, and R. D. Hanson. 1989. “Pseudodynamic test method: Current status and future directions.” J. Struct. Eng. 115 (8): 2113–2128. https://doi.org/10.1061/(ASCE)0733-9445(1989)115:8(2113).
Nakashima, M., T. Kaminosomo, M. Ishida, and K. Ando. 1990. “Integration techniques for substructuring pseudodynamic test.” In Vol. 2 of Proc., 4th US National Conf. on Earthquake Engineering, 515–524. Oakland, CA: Earthquake Engineering Research Institute.
Nakashima, M., H. Kato, and E. Takaoka. 1992. “Development of real-time pseudo dynamic testing.” Earthquake Eng. Struct. Dyn. 21 (1): 79–92. https://doi.org/10.1002/eqe.4290210106.
Nakashima, M., and N. Masaoka. 1999. “Real-time on-line test for MDOF systems.” Earthquake Eng. Struct. Dyn. 28 (4): 393–420. https://doi.org/10.1002/(SICI)1096-9845(199904)28:4%3C393::AID-EQE823%3E3.0.CO;2-C.
Ou, G., A. I. Ozdagli, S. J. Dyke, and B. Wu. 2015. “Robust integrated actuator control: Experimental verification and real-time hybrid-simulation implementation.” Earthquake Eng. Struct. Dyn. 44 (3): 441–460. https://doi.org/10.1002/eqe.2479.
Shao, X., A. M. Reinhorn, and M. V. Sivaselvan. 2011. “Real-time hybrid simulation using shake tables and dynamic actuators.” J. Struct. Eng. 137 (7): 748–760. https://doi.org/10.1061/(ASCE)ST.1943-541X.0000314.
Shing, P. B., Z. Wei, R. Y. Jung, and E. Stauffer. 2004. “NEES fast hybrid test system at the University of Colorado.” In Proc., 13th World Conf. on Earthquake Engineering. Vancouver, BC, Canada: Engineering.
Soong, T. T., and B. F. Spencer. 2002. “Supplemental energy dissipation: State-of-the-art and state-of-the-practice.” Eng. Struct. 24 (3): 243–259. https://doi.org/10.1016/S0141-0296(01)00092-X.
Takanashi, K., and M. Nakashima. 1987. “Japanese activities on on-line testing.” J. Eng. Mech. 113 (7): 1014–1032. https://doi.org/10.1061/(ASCE)0733-9399(1987)113:7(1014).
Takanashi, K., K. Udagawa, S. Seki, and H. Tanaka. 1974. “Seismic failure analysis of structures by computer pulsator on-line system.” [In Japanese.] Prod. Res. 26 (11): 413–425.
Wallace, M., D. J. Wagg, and S. A. Neild. 2005. “An adaptive polynomial based forward prediction algorithm for multi-actuator real-time dynamic substructuring.” Proc. R. Soc. London Ser. A 461 (2064): 3807–3826. https://doi.org/10.1098/rspa.2005.1532.
Wang, T., M. Nakashima, and P. Pan. 2006. “On-line hybrid test combining with general-purpose finite element software.” Earthquake Eng. Struct. Dyn. 35 (12): 1471–1488. https://doi.org/10.1002/eqe.586.
Wu, B., H. Bao, J. P. Ou, and S. Tian. 2005. “Stability and accuracy analysis of the central difference method for real-time substructure testing.” Earthquake Eng. Struct. Dyn. 34 (7): 705–718. https://doi.org/10.1002/eqe.451.
Wu, B., G. Xu, Q. Wang, and M. Williams. 2006. “Operator-splitting method for real-time substructure testing.” Earthquake Eng. Struct. Dyn. 35 (3): 293–314. https://doi.org/10.1002/eqe.519.
Zapateiro, M., H. R. Karimi, N. Luo, and B. F. Spencer. 2009. “Real-time hybrid testing of semiactive control strategies for vibration reduction in a structure with MR damper.” Struct. Control Health Monit. 17 (4): 427–451. https://doi.org/10.1002/stc.321.
Zhang, P., G. Song, H. Li, and Y. Lin. 2013. “Seismic control of power transmission tower using pounding TMD.” J. Eng. Mech. 139 (10): 1395–1406. https://doi.org/10.1061/(ASCE)EM.1943-7889.0000576.
Zhao, J., C. W. French, C. K. Shield, and T. A. Posbergh. 2003. “Considerations for the development of real-time dynamic testing using servo-hydraulic actuation.” Earthquake Eng. Struct. Dyn. 32 (11): 1773–1794. https://doi.org/10.1002/eqe.301.
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Published In
Journal of Structural Engineering
Volume 144 • Issue 12 • December 2018
Copyright
©2018 American Society of Civil Engineers.
History
Received: Jul 19, 2017
Accepted: May 22, 2018
Published online: Sep 26, 2018
Published in print: Dec 1, 2018
Discussion open until: Feb 26, 2019
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