Hybrid Simulation Theory for Continuous Beams
Publication: Journal of Engineering Mechanics
Volume 141, Issue 7
Abstract
Hybrid simulation is an experimental technique involving the integration of a physical system and a computational system with the use of actuators and sensors. This method has a long history in the experimental community and has been used for nearly 40 years. However, there is a distinct lack of theoretical research on the performance of this method. Hybrid simulation experiments are performed with the implicit assumption of an accurate result as long as sensor and actuator errors are minimized. However, no theoretical results confirm this intuition nor is it understood how minimal the error should be and what the essential controlling factors are. To address this deficit in knowledge, this study considers the problem as one of tracking the trajectory of a dynamical system in a suitably defined configuration space. To make progress, the study strictly considers a theoretical hybrid system. This allows for precise definitions of errors during hybrid simulation. As a model system, the study looks at an elastic beam as well as a viscoelastic beam. In both cases, systems with a continuous distribution of mass are considered as occur in real physical systems. Errors in the system are then tracked during harmonic excitation using space-time -norms defined over the system’s configuration space. A parametric study is then presented of how magnitude and phase errors in the control system relate to the performance of hybrid simulation. It is seen that there are sharp sensitivities to control system errors. Further, the existence of unacceptably high errors whenever the excitations exceed the system’s fundamental frequency is shown to be present in hybrid simulation.
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Acknowledgments
This research was financially supported by National Science Foundation Award Number CMMI-1153665. Any opinions, findings, and conclusions or recommendations expressed are those of the authors and do not necessarily reflect those of the National Science Foundation.
References
Ahmadizadeh, M., Mosqueda, G., and Reinhorn, A. M. (2008). “Compensation of actuator delay and dynamics for real time hybrid structural simulation.” Earthquake Eng. Struct. Dyn., 37(1), 21–42.
Bakhaty, A. A., Govindjee, S., and Mosalam, K. M. (2014). “Theoretical development of hybrid simulation applied to plate structures.”, Pacific Earthquake Engineering Research Center, Berkeley, CA.
Bursi, O. S., Jia, C., Vulcan, L., Neild, S. A., and Wagg, D. J. (2011). “Rosenbrock-based algorithms and subcycling strategies for real-time nonlinear substructure testing.” Earthquake Eng. Struct. Dyn., 40(1), 1–19.
Drazin, P. L. (2013). “Hybrid simulation theory featuring bars and beams.” M.S. thesis, Univ. of California, Berkeley, CA.
Elkhoraibi, T., and Mosalam, K. M. (2007). “Towards error-free hybrid simulation using mixed variables.” Earthquake Eng. Struct. Dyn., 36(11), 1497–1522.
Ferry, J. D. (1970). Viscoelastic properties of polymers, Wiley, New York.
Günay, S., and Mosalam, K. M. (2014). “Seismic performance evaluation of high voltage disconnect switches using real-time hybrid simulation: II. Parametric study.” Earthquake Eng. Struct. Dyn., 43(8), 1223–1237.
Johnson, C. (2009). Numerical solution of partial differential equations by the finite element method, Dover, Mineola, NY.
Mahin, S. A., and William, M. E. (1980). “Computer controlled seismic performance testing.” Dynamic respone of structures: Experimentation, observation, prediction and control, G. C. Hart, ed., ASCE, Reston, VA, 616–630.
Mosalam, K. M., and Günay, S. (2014). “Seismic performance evaluation of high voltage disconnect switches using real-time hybrid simulation: I. System development and validation.” Earthquake Eng. Struct. Dyn., 43(8), 1205–1222.
Mosalam, K. M., White, R. N., and Ayala, G. (1998). “Response of infilled frames using pseudo-dynamic experimentation.” Earthquake Eng. Struct. Dyn., 27(6), 589–608.
Schellenberg, A. H. (2008). “Advanced implementation of hybrid simulation.” Ph.D. thesis, Univ. of California, Berkeley, CA.
Shing, P. S. B., and Mahin, S. A. (1987). “Elimination of spurious higher-mode response in pseudodynamic tests.” Earthquake Eng. Struct. Dyn., 15(4), 409–424.
Takanashi, K., and Nakashima, M. (1987). “Japanese activities on on-line testing.” J. Eng. Mech., 1014–1032.
Takanashi, K., Udagawa, K., Seki, M., Okada, T., and Tanaka, H. (1974). “Nonlinear earthquake response analysis of structures by a computer-actuator on-line system.” Institute of Industrial Science, Univ. of Tokyo, Japan, 1–17.
Tongue, B. H. (2002). Principles of vibration, Oxford University Press, New York.
Tschoegl, N. W. (1989). The phenomenological theory of linear viscoelastic behavior, Springer, Berlin.
Voormeeren, S. N., de Klerk, D., and Rixen, D. J. (2010). “Uncertainty quantification in experimental frequency based substructuring.” Mech. Syst. Signal Process., 24(1), 106–118.
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© 2015 American Society of Civil Engineers.
History
Received: Jun 19, 2014
Accepted: Nov 25, 2014
Published online: Apr 16, 2015
Published in print: Jul 1, 2015
Discussion open until: Sep 16, 2015
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