Interpretation of Real-Time Hybrid Simulation as Neutral and Retarded Delay Systems for Its Stability Analysis
Publication: Journal of Engineering Mechanics
Volume 147, Issue 10
Abstract
As an economical and effective testing method, real-time hybrid simulation (RTHS) can be understood as a dynamic system with substructure feedback, where the time delay in feedback caused by servo-hydraulics may destabilize the system. Existing research does not realize that the time delay in each component has a different effect on stability. This study categorizes RTHS into neutral or retarded delay systems to differentiate their pole distribution and explore how time delay affects the stability. The analysis results show that (1) time delay introduces infinite pairs of conjugate characteristic roots into both neutral and retarded systems but results in different patterns of root distribution; (2) the characteristic roots approach based on the rational function approximation is only suitable for stability analysis of a retarded delay system, not for a neutral delay system; and (3) the definite integral stability analysis approach can directly determine the stability of both retarded and neutral delay systems without solving the transcendental equation. The computational simulation demonstrated the difference between retarded and neutral delay systems and the effectiveness of the new approach. This study provides fresh insights for the dynamic analysis of RTHS system with time delay.
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Data Availability Statement
All data, models, or code that support the findings of this study are available from the corresponding author upon reasonable request.
Acknowledgments
The research reported in this paper is supported by the National Natural Science Foundation of China (Projects 52008145 and 51478158), and the Fundamental Research Funds for the Central Universities of China (Grant Nos. JZ2020HGQA0203 and PA2021GDSK0080).
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Published In
Journal of Engineering Mechanics
Volume 147 • Issue 10 • October 2021
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© 2021 American Society of Civil Engineers.
History
Received: Jan 4, 2021
Accepted: May 7, 2021
Published online: Aug 12, 2021
Published in print: Oct 1, 2021
Discussion open until: Jan 12, 2022
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Cited by
- Liang Huang, Cheng Chen, Yifan Pu, Jingfeng Wang, Tong Guo, Stability analysis of real time hybrid simulation under coupled actuator delay and nonlinear behavior, Earthquake Engineering & Structural Dynamics, 10.1002/eqe.3667, 51, 10, (2357-2377), (2022).