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Localized evaluation of actuator tracking for real-time hybrid simulation using frequency-domain indices

  • Xu, Weijie (Key Laboratory of Concrete and Prestressed Concrete Structures of the Ministry of Education, Southeast University) ;
  • Guo, Tong (Key Laboratory of Concrete and Prestressed Concrete Structures of the Ministry of Education, Southeast University) ;
  • Chen, Cheng (School of Engineering, San Francisco State University)
  • Received : 2016.06.27
  • Accepted : 2017.01.23
  • Published : 2017.06.10

Abstract

Accurate actuator tracking plays an important role in real-time hybrid simulation (RTHS) to ensure accurate and reliable experimental results. Frequency-domain evaluation index (FEI) interprets actuator tracking into amplitude and phase errors thus providing a promising tool for quantitative assessment of real-time hybrid simulation results. Previous applications of FEI successfully evaluated actuator tracking over the entire duration of the tests. In this study, FEI with moving window technique is explored to provide post-experiment localized actuator tracking assessment. Both moving window with and without overlap are investigated through computational simulations. The challenge is discussed for Fourier Transform to satisfy both time domain and frequency resolution for selected length of moving window. The required data window length for accuracy is shown to depend on the natural frequency and structural nonlinearity as well as the ground motion input for both moving windows with and without overlap. Moving window without overlap shows better computational efficiency and has potential for future online evaluation. Moving window with overlap however requires much more computational efforts and is more suitable for post-experiment evaluation. Existing RTHS data from Network Earthquake Engineering Simulation (NEES) is utilized to further demonstrate the effectiveness of the proposed approaches. It is demonstrated that with proper window size, FEI with moving window techniques enable accurate localized evaluation of actuator tracking for real-time hybrid simulation.

References

  1. Asai, T., Chang, C.M. and Spencer, B.F. (2015), "Real-time hybrid simulation of a smart base-isolated building", J. Eng. Mech., ASCE, 141(3), 04014128. https://doi.org/10.1061/(ASCE)EM.1943-7889.0000844
  2. Blakeborough, A., Williams, M.S., Darby, A.P. and Williams, D.M. (2001), "The development of real-time substructure testing", Philos. T. Roy. Soc. A., 359(1786), 1869-1891. https://doi.org/10.1098/rsta.2001.0877
  3. Bracewell, R.N. (2000). The Fourier Transform and Its Applications, (7th Edition), McGraw-Hill, Boston, MA, USA.
  4. Carrion, J.E. and Spencer, B.F. (2006), "Real-time hybrid testing using model-based delay compensation", Proceedings of the 4th International Conference on Earthquake Engineering, Taipei, October.
  5. Chen, C. and Ricles, J.M. (2008), "Stability analysis of SDOF real-time hybrid testing systems with explicit integration algorithms and actuator delay", Earthq. Eng. Struct., 37(4), 597-613. https://doi.org/10.1002/eqe.775
  6. Chen, C. and Ricles, J.M. (2009), "Analysis of actuator delay compensation methods for real-time testing", Eng. Struct., 31(11), 2643-2655. https://doi.org/10.1016/j.engstruct.2009.06.012
  7. Chen, C. and Ricles, J.M. (2010), "Tracking error-based servohydraulic actuator adaptive compensation for real-time hybrid simulation", J. Struct. Eng., ASCE, 136(4), 432-440. https://doi.org/10.1061/(ASCE)ST.1943-541X.0000124
  8. Chen, C., Ricles, J.M., Karavasilis, T., Chae, Y. and Sause, R. (2012), "Real-time hybrid simulation system for performance evaluation of structures with rate dependent devices subjected to seismic loading", Eng. Struct., 35, 71-82. https://doi.org/10.1016/j.engstruct.2011.10.006
  9. Chen, P.C., Tsai, K.C. and Lin, P.Y. (2014), "Real-time hybrid testing of a smart base isolation system", Earthq. Eng. Struct., 43(1), 139-158. https://doi.org/10.1002/eqe.2341
  10. Christenson, R., Lin, Y.Z., Emmons, A. and Bass, B. (2008), "Large-scale experimental verification of semi-active control through real-time hybrid simulation", J. Struct. Eng., ASCE, 134(4), 522-534. https://doi.org/10.1061/(ASCE)0733-9445(2008)134:4(522)
  11. Darby, A.P., Blakeborough, A. and Williams, M.S. (2002), "Stability and delay compensating for real-time substructure testing", J. Eng. Mech., ASCE, 128(12), 1276-1284. https://doi.org/10.1061/(ASCE)0733-9399(2002)128:12(1276)
  12. Elkhoraibi, T. and Mosalam, K.M. (2012), "Towards error free hybrid simulation using mixed variables", Earthq. Eng. Struct., 36(11), 1497-1522.
  13. Friedman, A., Dyke, S.J., Phillips, B., Ahn, R., Dong, B.P., Chae, Y., Castaneda, N., Jiang, Z.S., Zhang, J.Q., Cha, Y.J., Ozdagli, A.I., Spencer, B.F., Ricles, J.M., Christenson, R., Agrawal, A. and Sause, R. (2015), "Large-scale real-time hybrid simulation for evaluation of advanced damping system performance", J. Struct. Eng., ASCE, 141(6), 04014150. https://doi.org/10.1061/(ASCE)ST.1943-541X.0001093
  14. Friedman, A., Phillips, B., Ahn, R., Chae, Y., Zhang, J., Cha, Y. and Sause, R. (2013), "RTHS (frame+damper)-3StoryPSsingle MR damper (floor 1)", Network for Earthquake Engineering Simulation (distributor), Dataset, doi: 10,D3G15TB42.
  15. Gao, X., Castaneda, N. and Dyke, S.J. (2013), "Real time hybrid simulation: from dynamic system, motion control to experimental error", Earthq. Eng. Struct., 44(6), 815-832.
  16. Gao, X., Castaneda, N. and Dyke, S.J. (2014), "Experimental validation of a generalized procedure for MDOF real-time hybrid simulation", J. Eng. Mech., ASCE, 140(4), 04013006. https://doi.org/10.1061/(ASCE)EM.1943-7889.0000696
  17. Guo, T., Chen, C., Xu, W.J. and Sanchez, F. (2014), "A frequency response analysis approach for quantitative assessment of actuator tracking for real-time hybrid simulation", Smart. Struct., 23(4), 045042. https://doi.org/10.1088/0964-1726/23/4/045042
  18. Guo, T., Xu, W.J. and Chen, C. (2014), "Analysis of decimation techniques to improve computational efficiency of a frequency-domain evaluation approach for real-time hybrid simulation", Smart. Struct. Syst., 14(6), 1197-1220. https://doi.org/10.12989/sss.2014.14.6.1197
  19. Horiuchi, T., Inoue, M., Konno, T. and Namita, Y. (1999), "Realtime hybrid experimental system with actuator delay compensation and its application to a piping system with energy absorber", Earthq. Eng. Struct., 28(10), 1121-1141. https://doi.org/10.1002/(SICI)1096-9845(199910)28:10<1121::AID-EQE858>3.0.CO;2-O
  20. Horiuchi, T. and Konno, T. (2001), "A new method for compensating actuator delay in real-time hybrid experiment", Philos. T. Roy. Soc. A., 359(1786), 1893-1909. https://doi.org/10.1098/rsta.2001.0878
  21. Karavasilis, T.L., Ricles, J.M., Sause, R. and Chen, C. (2011), "Experimental evaluation of the seismic performance of steel MRFs with compressed elastomer dampers using large-scale real-time hybrid simulation", Eng. Struct., 33(6), 1859-1869. https://doi.org/10.1016/j.engstruct.2011.01.032
  22. Kwon, O., Amr S. Elnashai and Billie F. Spencer (2008), "A framework for distributed analytical and hybrid simulations", Struct. Eng. Mech., 30(3), 331-350. https://doi.org/10.12989/sem.2008.30.3.331
  23. Mahin, S.A., Shing, P.B., Thewalt, C.R. and Hanson, R.D. (1989), "Pseudodynamic test method-current status and future direction", J. Struct. Eng., ASCE, 115(8), 2113-2128. https://doi.org/10.1061/(ASCE)0733-9445(1989)115:8(2113)
  24. Mercan, O. and Ricles, J.M. (2007), "Stability and accuracy analysis of outer loop dynamics in real-time pseudodynamic testing of SDOF systems", Earthq. Eng. Struc., 36(11), 1523-1543. https://doi.org/10.1002/eqe.701
  25. Mosqueda, G., Stojadinovic, B. and Mahin, S.A. (2007a), "Realtime error monitoring for hybrid simulation. Part I: methodology and experimental verification", J. Struct. Eng., ASCE, 133(8), 1100-1108. https://doi.org/10.1061/(ASCE)0733-9445(2007)133:8(1100)
  26. Mosqueda, G., Stojadinovic, B. and Mahin, S.A. (2007b), "Realtime error monitoring for hybrid simulation. Part II: structural response modification due to errors", J. Struct. Eng., ASCE, 133(8), 1109-1117. https://doi.org/10.1061/(ASCE)0733-9445(2007)133:8(1109)
  27. Nakashima, M., Kato, H. and Takaoka, E. (1992), "Development of real-time pseudodynamictesting", Earthq. Eng. Struct., 21(1), 79-92. https://doi.org/10.1002/eqe.4290210106
  28. PEER Strong Ground Motion Database (2009), http://peer.berkeley.edu
  29. Phillips, B.M. and Spencer, B.F. (2012), "Model-based multi actuator control for real-time hybrid simulation", J. Struct. Eng., ASCE, 139(2), 219-228.
  30. Kwon, O., Elnashai, A.S. and Spencer, B.F. (2008), "A framework for distributed analytical and hybrid simulations", Struct. Eng. Mech., 30(3), 331-350. https://doi.org/10.12989/sem.2008.30.3.331
  31. Ricles, J.M. (2008), "Advanced servo-hydraulic control and realtime testing of damped structures", https://nees.org/warehouse/project/711.
  32. 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., 34(15), 1817-32. https://doi.org/10.1002/eqe.513
  33. Wen, Y.K. (1980), "Equivalent linearization for hysteretic systems under random excitation", J. Appl. Mech. T., ASME, 47(1), 150-154. https://doi.org/10.1115/1.3153594