Real-time hybrid simulation with model updating (RTHSMU) enables online refinement of numerical substructures using experimentally measured data from rate-dependent physical substructures, therefore providing a more cost-effective and accurate means of replicating structural responses subjected to ground motions. However, the stringent computational speed requirements of real-time hybrid simulation present challenges for developing efficient model updating methods. Existing methods often focus on improving structural response accuracy but neglect accuracy of parameter identification. This study introduces an incremental Kriging-assisted and Efficient Global Optimization (EGO)-based online model updating method. The Kriging model approximates the error response surface of updated parameters, while its incremental formulation reduces computational complexity. The EGO algorithm identifies high-value candidate points to incrementally refine the Kriging model. Additionally, a transfer learning strategy leverages historical information from prior timesteps, reducing the need for new sample points required at each step. Experimental validation on a six-story steel moment-resisting frame equipped with self-centering viscous dampers demonstrates that the proposed method significantly enhances the structural response accuracy in RTHS while improving accuracy of parameter identification compared to existing approaches.
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