Improved Explicit Integration Algorithms with Controllable Numerical Damping for Real-Time Hybrid Simulation
Publication: Journal of Engineering Mechanics
Volume 149, Issue 4
Abstract
The paper proposes an improved single-step method of explicit displacement and velocity (SSMEDV) with controllable numerical damping based on the discrete control theory, which can be applied to real-time hybrid simulation (RTHS). The stability, overshoot, and numerical damping characteristics of the proposed algorithms are studied. It is shown that certain algorithms have unconditional stability for linear and softening nonlinear structures. The overshoot phenomenon is small, where the displacement is one power of the time step due to the initial velocity, whereas the velocity does not. The amount of numerical damping is adjusted by a single parameter to control the divergence of false higher-order modes. The analysis of RTHS was performed on a multiple degrees-of-freedom (MDOF) structure and complex building–damper structure to verify the theoretical analysis. The comparison with two typical algorithms of the explicit Newmark and Gui- demonstrates the effectiveness of the proposed algorithms in improving stability, accuracy, and computational efficiency, which can be applied to complex RTHS.
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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 authors are grateful for the financial support from the National Natural Science Foundation of China (Project Nos. 51878674 and 52022113) and the Fundamental Scientific Research Expenses of IME, China Earthquake Administration (Project No. 2020EEEVL0403). Any opinions, findings, conclusions, or recommendations expressed in this paper are those of the authors.
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Published In
Journal of Engineering Mechanics
Volume 149 • Issue 4 • April 2023
Copyright
© 2023 American Society of Civil Engineers.
History
Received: Dec 9, 2021
Accepted: Jul 16, 2022
Published online: Jan 17, 2023
Published in print: Apr 1, 2023
Discussion open until: Jun 17, 2023
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