journal article Jul 28, 2008

Real‐time hybrid testing using the unconditionally stable explicit CR integration algorithm

Abstract
AbstractReal‐time hybrid testing combines experimental testing and numerical simulation, and provides a viable alternative for the dynamic testing of structural systems. An integration algorithm is used in real‐time hybrid testing to compute the structural response based on feedback restoring forces from experimental and analytical substructures. Explicit integration algorithms are usually preferred over implicit algorithms as they do not require iteration and are therefore computationally efficient. The time step size for explicit integration algorithms, which are typically conditionally stable, can be extremely small in order to avoid numerical stability when the number of degree‐of‐freedom of the structure becomes large. This paper presents the implementation and application of a newly developed unconditionally stable explicit integration algorithm for real‐time hybrid testing. The development of the integration algorithm is briefly reviewed. An extrapolation procedure is introduced in the implementation of the algorithm for real‐time testing to ensure the continuous movement of the servo‐hydraulic actuator. The stability of the implemented integration algorithm is investigated using control theory. Real‐time hybrid test results of single‐degree‐of‐freedom and multi‐degree‐of‐freedom structures with a passive elastomeric damper subjected to earthquake ground motion are presented. The explicit integration algorithm is shown to enable the exceptional real‐time hybrid test results to be achieved. Copyright © 2008 John Wiley & Sons, Ltd.
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References
33
[3]
DermitzakisSN MahinSA.Development of substructuring techniques for on‐line computer controlled seismic performance testing. Report UBC/EERC‐85/04 Earthquake Engineering Research Center University of California Berkeley 1985.
[6]
Newmark NM "A method of computation for structural dynamics" Journal of Engineering Mechanics (1959)
[7]
Improved numerical dissipation for time integration algorithms in structural dynamics

Hans M. Hilber, Thomas J. R. Hughes, Robert L. Taylor

Earthquake Engineering & Structural Dynamics 10.1002/eqe.4290050306
[12]
CarrionJE SpencerBF.Real‐time hybrid testing using model‐based delay compensation. Proceedings of the Fourth International Conference on Earthquake Engineering Taipei Taiwan 2006.
[14]
Chopra AK (2001)
[15]
ShingPB.Development of high‐speed on‐line substructuring testing system at the University of Colorado. CASCADE Technical Workshop Oxford U.K. 2002.
[16]
Jung RY "Performance evaluation of a real‐time pseudodynamic test system" Earthquake Engineering and Structural Dynamics (2007)
[17]
MercanO.Analytical sand experimental studies on large scale real‐time pseudodynamic testing. Ph.D. Dissertation Department of Civil and Environmental Engineering Lehigh University Bethlehem PA 2007.
[19]
Chen C "Development of direct integration algorithms for structural dynamics using discrete control theory" Journal of Engineering Mechanics (2008)
[20]
RamirezMR.The numerical transfer function for time integration analysis. New methods in transient analysis. ASME PVP‐vol. 246/AMD‐vol. 143 1992;79–85.
[22]
Mugan A "Frequency domain analysis of time integration methods for semidiscrete finite element equations, part II. Hyperbolic and parabolic–hyperbolic problems" International Journal for Numerical Methods in Engineering (2001) 10.1002/nme.135
[23]
Ogata K (1995)
[24]
Franklin GF (2002)
[25]
ZhangXP RiclesJM MercanO ChenC.Servo‐hydraulic system identification for the NEES Real‐time Multi‐directional Earthquake Simulation Facility. ATLSS Report No. 05‐14 Center for Advanced Technology for Large Structural Systems Lehigh University 2005.
[26]
Lehigh RTMD Users Guide.http://www.nees.lehigh.edu/index.php?page=rtmd‐user‐s‐manual 2008.
[27]
MATLAB. The Math Works Inc. Natick MA 2007.
[28]
Chen C "Stability analysis of direct integration algorithms applied to nonlinear structural dynamics" Journal of Engineering Mechanics (2008)
[29]
KontopanosA.Experimental investigation of a prototype elastomeric structural damper. M.S. Thesis Department of Civil and Environmental Engineering Lehigh University Bethlehem PA 2006.
[30]
ChenC.Development and numerical testing of hybrid effective force testing method. Ph.D. Dissertation Department of Civil and Environmental Engineering Lehigh University Bethlehem PA 2007.
[32]
RiclesJM ChenC HodgsonIC.Real‐time multi‐directional hybrid simulation of building piping systems. Proceedings of the 14th World Conference on Earthquake Engineering ( 14WCEE) Beijing China 12–17 October 2008.
[33]
FleischmanR RestrepoJ NaitoC SauseR.Integrated analytical/experimental research approach for developing a seismic design methodology for precast diaphragms. Proceedings of the NEES Sixth Annual Meeting Portland Oregon 18–20 June 2008.
Cited By
161
Earthquake Engineering & Struct...
Earthquake Engineering & Struct...
Journal of Structural Engineering
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161
Citations
33
References
Details
Published
Jul 28, 2008
Vol/Issue
38(1)
Pages
23-44
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Cite This Article
Cheng Chen, James M. Ricles, Thomas M. Marullo, et al. (2008). Real‐time hybrid testing using the unconditionally stable explicit CR integration algorithm. Earthquake Engineering & Structural Dynamics, 38(1), 23-44. https://doi.org/10.1002/eqe.838
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