DOI QR코드

DOI QR Code

Effects of interface delay in real-time dynamic substructuring tests on a cable for cable-stayed bridge

  • 투고 : 2014.05.15
  • 심사 : 2014.08.25
  • 발행 : 2014.12.25

초록

Real-time dynamic substructuring tests have been conducted on a cable-deck system. The cable is representative of a full scale cable for a cable-stayed bridge and it interacts with a deck, numerically modelled as a single-degree-of-freedom system. The purpose of exciting the inclined cable at the bottom is to identify its nonlinear dynamics and to mark the stability boundary of the semi-trivial solution. The latter physically corresponds to the point at which the cable starts to have an out-of-plane response when both input and previous response were in-plane. The numerical and the physical parts of the system interact through a transfer system, which is an actuator, and the input signal generated by the numerical model is assumed to interact instantaneously with the system. However, only an ideal system manifests a perfect correspondence between the desired signal and the applied signal. In fact, the transfer system introduces into the desired input signal a delay, which considerably affects the feedback force that, in turn, is processed to generate a new input. The effectiveness of the control algorithm is measured by using the synchronization technique, while the online adaptive forward prediction algorithm is used to compensate for the delay error, which is present in the performed tests. The response of the cable interacting with the deck has been experimentally observed, both in the presence of delay and when delay is compensated for, and it has been compared with the analytical model. The effects of the interface delay in real-time dynamic substructuring tests conducted on the cable-deck system are extensively discussed.

키워드

과제정보

연구 과제 주관 기관 : Engineering and Physical Sciences Research Council (EPSRC)

참고문헌

  1. Ahmadizadeh, M. and Mosqueda, G. (2009), "Online energy-based error indicator for assessment of numerical and experimental errors in hybrid simulation", Eng. Struct., 31(1), 1987-1996. https://doi.org/10.1016/j.engstruct.2009.03.002
  2. Ahmadizadeh, M., Mosqueda, G. and Reinhorn, A. (2008), "Compensation of actuator delay and dynamics for real-time hybrid structural simulation", Earthq. Eng. Struct. D., 37(1), 21-42. https://doi.org/10.1002/eqe.743
  3. Ashwin, P. (1998), "Non-linear dynamics, loss of synchronization and symmetry breaking". Proc. Inst. Mech. Eng. G., 212, 183-187.
  4. Blakeborough, A., Sieber, J., Neild, S., Wagg, D. and Krauskopf, B. (2001), "The development of real-time substructure testing", Philos. T. R. Soc. Lond. A., 34(15), 1869-1891.
  5. Bursi, O. and Wagg, D. (2008), Modern testing techniques for Substructural System, Springer-Verlag.
  6. Chen, C. and Ricles, J. (2008), "Stability analysis of sd of real-time hybrid testing systems with explicit integration algorithms and actuator delay", Earthq. Eng. Struct. D., 37(4).
  7. Darby, A., Blakeborough, A. and Williams, M. (2001), "Improved control algorithm for real-time substructure testing", Earthq. Eng. Struct. D., 30(3), 431-448. https://doi.org/10.1002/eqe.18
  8. Dion, C., Bouaanani, N., Tremblaya, R. and Lamarche, C. (2012), "Real-time dynamic substructuring testing of a bridge equipped with friction-based seismic isolators", J. Bridge Eng., 17(1), 4-14. https://doi.org/10.1061/(ASCE)BE.1943-5592.0000199
  9. Dion, C., Bouaanani, N., Tremblaya, R., Lamarche, C. and Leclerc, M. (2011), "Real-time dynamic substructuring testing of viscous seismic protective devices for bridge structures", Eng. Struct., 33(12), 3351-3363. https://doi.org/10.1016/j.engstruct.2011.06.021
  10. Doedel, E., Champneys, A., Fairgrieve, T., Kuznetsov, Y., Sandstede, B. and Wang, X. (2000), AUTO2000 and AUTO-07P: Continuation and bifurcation software for ordinary differential equations, Department of Computer Science, Concordia University, Montreal, Canada.
  11. Gattulli, V., Martinelli, L., Perotti, F. and Vestroni, F. (2004), "Non-linear oscillations of cables under harmonic loading using analytical and finite element models", Comput. Method. Appl. M., 193(1-2), 69-85. https://doi.org/10.1016/j.cma.2003.09.008
  12. Gawthrop, P., Neild, S., Gonzalez Buelga, A. and Wagg, D. (2009), "Causality in real-time dynamic substructure testing", Mechatronics, 19(7), 1105-1115. https://doi.org/10.1016/j.mechatronics.2008.02.005
  13. Gonzalez-Buelga, A., Neild, S., Wagg, D. and Macdonald, J. (2008), "Modal stability inclined cables subjected to vertical support excitation", J. Sound Vib., 318(3), 565-579. https://doi.org/10.1016/j.jsv.2008.04.031
  14. Horiuchi, T., Inoue, M., Konno, T. and Namita, Y. (1999), "Real-time hybrid experimental system with actuator delay compensation and its application to a piping system with energy absorber", Earthq. Eng. Struct. D., 28, 1121- 1141. https://doi.org/10.1002/(SICI)1096-9845(199910)28:10<1121::AID-EQE858>3.0.CO;2-O
  15. Irvine, H. (1981), Cable structures, MIT Press, Cambridge, MA.
  16. Irvine, H. and Caughey, T. (1974), "The linear theory of free vibrations of a suspended cable", P. Roy. Soc. Lond. A., 341(1626), 299-315. https://doi.org/10.1098/rspa.1974.0189
  17. Kyrychko, Y., Blyuss, K., Gonzalez-Buelga, A., Hogan, S. and Wagg, D. (2006). "Real-time dynamic substructuring in a coupled oscillator-pendulum system", P. Roy. Soc. Lond. A., 462(2068), 1271-1294. https://doi.org/10.1098/rspa.2005.1624
  18. Lilien, J. and Pinto Da Costa, A. (1994), "Vibration amplitudes caused by para-metric excitation of cable stayed structures", J. Sound Vib., 174, 69-90. https://doi.org/10.1006/jsvi.1994.1261
  19. Londono, J., Serino, G. and di Bernardo, M. (2012), "Existence and stability of limit cycles in a delayed dry-friction oscillator", Nonlinear Dynam., 67(1), 483-496. https://doi.org/10.1007/s11071-011-9997-2
  20. Macdonald, J., Dagless, E., Thomas, B. and Taylor, C. (1997), "Dynamic measurements of the second severn crossing", Proc. Instn Civ. Engrs, Transp., 123(4), 241-248.
  21. Macdonald, J., Dietz, M., Neild, S., Gonzalez-Buelga, A., Crewe, A. and Wagg, D. (2010), "Generalized modal stability of inclined cables subjected to support excitations", J. Sound Vib., 329(21), 4515-4533. https://doi.org/10.1016/j.jsv.2010.05.002
  22. Marsico, M., Wagg, D. and Neild, S. (2010), "The effect of deck parameters on out-of-plane vibrations of a stay-bridge cable", Proceedings of the International Conference on Noise and Vibration Engineering, Leuven, Belgium.
  23. Marsico, M.R., Neild, S., Gonzalez-Buelga, A. and Wagg, D. (2009a), "Interaction between in-plane and out- of-plane cable mode for a cable-deck system", Proceedings of the ASME Design Engineering technical Conference and Computers and Information in Engineering Conference, DETC.
  24. Marsico, M.R., Sieber, J., Neild, S. and Wagg, D. (2009b), "Dynamic testing for uncertainty in structural dynamics", Proceedings of the 2nd International Conference on Uncertainty in Structural Dynamics, The University of Sheffield.
  25. Marsico, M.R., Tzanov, V., Wagg, D., Neild, S. and Krauskopf, B. (2011a), "Bifurcation analysis of parametrically excited inclined cable close to two-to-one internal resonance", J. Sound Vib., 24(330), 6023-6035.
  26. Marsico, M.R., Wagg, D. and Neild, S. (2011b), "The effect of interface dalay in substructuring experiments", Proceedings of the ASME Design Engineering technical Conference and Computers and Information in Engineering Conference.
  27. Marsico, M.R., Wagg, D. and Neild, S. (2013a), Real time dynamic substructuring tests on a cable-deck system in absence of delay, Network for Earthquake Engineering Simulation (distributor), Dataset DOI:10.4231/D3VX0635F.
  28. Marsico, M.R., Wagg, D. and Neild, S. (2013b), Real time dynamic substructuring tests on a cable-deck system in presence of delay, Network for Earthquake Engineering Simulation (distributor), Dataset DOI:10.4231/D30P0WR0N
  29. Marsico, M.R., Wagg, D., Neild, S. and Macdonald, J. (2011c), "Nonlinear cable vibrations: experimental tests on an inclined cable", Proc. Eurodyn. Leuven Belgium, 1446-1450.
  30. Mercan, O. and Ricles, J. (2008), "Stability analysis for real-time pseudodynamic and hybrid pseudodynamic testing with multiple sources of delay", Earthq. Eng. Struct. D., 37(10), 1269-1293. https://doi.org/10.1002/eqe.814
  31. Mosqueda, G., Stojadinovic, B. and Mahin, S. (2007), "Real-time error monitoring for hybrid simulation. ii: Structural response modification due to errors", J. Struct. Eng. - ASCE, 133(8), 1109-1119. https://doi.org/10.1061/(ASCE)0733-9445(2007)133:8(1109)
  32. Nakashima, M. and Masaoka, N. (1999), "Real-time on-line test for mdof systems", Earthq. Eng. Struct. D., 28(4), 393-420. https://doi.org/10.1002/(SICI)1096-9845(199904)28:4<393::AID-EQE823>3.0.CO;2-C
  33. Negro, P., Pegon, P. and Verzeletti, G. (1997), "Pseudodynamic capabilities of the elsa laboratory for earthquake testing of large structures", Earthq. Eng. Struct. D., 12(10), 163-180.
  34. Neild, S., Drury, D., Wagg, D., Stoten, D. and Crew, A. (2002), "Implementing real time adaptive control methods for substructuring of large structure", Proceedings of the 3rd World Conf. on Structural Control, Como, Italy.
  35. Reinhorn, A., Sivaselvan, M., Liang, Z., Shao, X., Pitman, M. and Weinreber, S. (2004), "Large scale real time dynamic hybrid testing technique - shake tables substructure testing", Adv. Exp. Struct. Eng., 457-464.
  36. Spak, K., Agnes, G. and Inman, D. (2013), "Cable modeling and internal damping developments", Appl. Mech. Rev., 65(1), 1-18.
  37. Srinil, N., Rega, G. and Chucheepsakul, S. (2004), "Three-dimensional non-linear coupling and dynamic tension in the large-amplitude free vibrations of arbitrarily sagged cables", J. Sound Vib., 269(3-5), 823-852. https://doi.org/10.1016/S0022-460X(03)00137-8
  38. Verhulst, F. (1996), Nonlinear differential equations and dynamical systems, Springer.
  39. Wagg, D. and Neild, S. (2010), Nonlinear Vibration with Control, Springer.
  40. Wallace, M., Sieber, J., Neild, S., Wagg, D. and Krauskopf, B. (2005a), "Stability analysis of real-time dynamic substructuring using delay differential equation models", Earthq. Eng. Struct. D., 34(15), 1817-1832. https://doi.org/10.1002/eqe.513
  41. Wallace, M., Wagg, D. and Neild, S. (2005b), "An adaptive polynomial based forward prediction algorithm for multi-actuator real-time dynamic substructuring", P. Roy. Soc., 461(2064), 3807-3826. https://doi.org/10.1098/rspa.2005.1532
  42. Warnitchai, Y., Fujino, T. and Susumpov, A. (1995), "A nonlinear dynamic model for cables and its application to a cable structure-system", J. Sound Vib., 187(4), 695-712. https://doi.org/10.1006/jsvi.1995.0553
  43. Wilson, E., Farhoomand, I. and Bathe, K. (1973), "Nonlinear dynamic analysis of complex structures", Earthq. Eng. Struct. D., 1(3), 241-252.
  44. Wu, B., Wang, Qianying, W., Shing, B. and Ou, J. (2007), "Equivalent force control method for generalized real-time substructure testing with implicit integration", Earthq. Eng. Struct. D., 36(9), 1127-1149. https://doi.org/10.1002/eqe.674
  45. Wu, B., Wang, Z. and Bursi, O.S. (2012), "Nearly-perfect compensation for time delay in real-time hybrid simulation", Proceedings of the 15WCEE, Lisboa, Paper n.0507.

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