Real-time hybrid simulation (RTHS) is a powerful cyber-physical technique that is a relatively cost-effective method to perform global/local system evaluation of structural systems. A major factor that determines the ability of an RTHS to represent true system-level behavior is the fidelity of the numerical substructure. While the use of higher-order models increases fidelity of the simulation, it also increases the demand for computational resources. Because RTHS is executed at real-time, in a conventional RTHS configuration, this increase in computational resources may limit the achievable sampling frequencies and/or introduce delays that can degrade its stability and performance. In this study, the Adaptive Multi-rate Interface rate-transitioning and compensation technique is developed to enable the use of more complex numerical models. Such a multirate RTHS is strictly executed at real-time, although it employs different time steps in the numerical and the physical substructures while including rate-transitioning to link the components appropriately. Typically, a higher-order numerical substructure model is solved at larger time intervals, and is coupled with a physical substructure that is driven at smaller time intervals for actuator control purposes. Through a series of simulations, the performance of the AMRI and several existing approaches for multi-rate RTHS is compared. It is noted that compared with existing methods, AMRI leads to a smaller error, especially at higher ratios of sampling frequency between the numerical and physical substructures and for input signals with highfrequency content. Further, it does not induce signal chattering at the coupling frequency. The effectiveness of AMRI is also verified experimentally. Figure 7. Simulation results of transfer system tracking.Figure 8. Determining acceptable/unacceptable ranges for a specific multi-rate implementation error.Case study II: Two significant strengths of the AMRI are its effective performance for input signals with high-frequency content and large sampling frequency ratios. To evaluate the performance of the proposed interface, a series of simulated case studies are implemented in which the input is a sinusoidal signal with various frequencies between 1-49 Hz and sampling frequency ratios of 2, 4, 5, 8, and 10. The corresponding normalized tracking errors using Equation (17) are shown in Figure 8. The simulation results shown in Figure 8 allow the researcher to have a better understanding of the error stemming from the multi-rate implementation of a realtime hybrid simulation using the AMRI. In this analysis, the frequency spectrum of the command signal is assumed to be known. For instance, the shaded region in Figure 8 results in less than 5% transfer system tracking error using the AMRI ratetransitioning scheme. Moreover, Figure 8 shows that in the majority of cases, the normalized error is less than 1%. Case study III: Finally, to systematically compare the performance of the three existing methods (method I-III) and the AMRI, a set...