A Data-Driven Approach for Multirate Transitioning Between Complex and Nonlinear Substructures in Real-Time Hybrid Simulation

Abstract

This article proposes a new approach to interface both numerical and experimental substructures of a real-time hybrid simulation experiment running at different sampling rates. A regularized Wiener statistical finite impulse response filter is applied to the slow-rate sequence of interface target displacements at the numerical substructure to predict the next data point. Then, an interpolation rule using monomials is applied to obtain the sequence of interface target displacements at the experimental substructure running at a fast sampling rate. The Wiener filter is trained using offline simulations of the partitioned reference structure before the main experiment. The proposed scheme achieves good results for virtual simulations with linear and nonlinear structures, and it separates the task of determining simulation rates between substructures, ensuring both accuracy and stability in the experimental test.