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作者单位:Fei Zhu (1) Jin-Ting Wang (1) Feng Jin (1) Yao Gui (2)
1. State Key Laboratory of Hydroscience and Engineering, Tsinghua University, Beijing, 100084, China 2. Changjiang Institute of Survey, Planning, Design and Research, Wuhan, 430010, China
Real-time hybrid simulation (RTHS) combines physical experimentation with numerical simulation to evaluate dynamic responses of structures. The inherent characteristics of integration algorithms change when simulating numerical substructures owing to the response delay of loading systems in physical substructures. This study comprehensively investigates the effects of integration algorithms on the delay-dependent stability and accuracy of multiple degrees-of-freedom RTHS systems. Seven explicit integration algorithms are considered; and the discrete-time root locus technique is adopted. It is found that the stability of RTHS system is mainly determined by the time delay rather than the integration algorithms, whereas its accuracy mainly depends on the accuracy characteristic of the applied integration algorithm itself. An unconditionally stable integration algorithm cannot always guarantee good stability performance; and the inherent accuracy or numerical energy dissipation of integration algorithms should be taken into account in RTHSs. These theoretical findings are well verified by RTHSs. Keywords Real-time hybrid simulation Integration algorithm Delay-dependent stability and accuracy Delay compensation Discrete-time root locus