Laplace- and Frequency-Domain Methods on Computing Transient Responses of Oscillators with Hysteretic Dampings to Deterministic Loading
Publication: Journal of Engineering Mechanics
Volume 149, Issue 3
Abstract
Efficiently computing the transient response of a linear hysteretic damping (LHD) system that is noncausal to deterministic loading that is regular or irregular is challenging. In this study, we developed a time-shifting causalization procedure and efficient solution methods to compute the transient response, conducted in the frequency or Laplace domain based on pole-residue operations. Because these operations require the causalized system’s transfer function to be in its pole-residue form, true poles were extracted by the Prony-SS method for the Laplace-domain method. In contrast, the frequency-domain method designates imaginary poles directly from the system’s frequency response function. Overall, the latter method was easier to implement and more computationally efficient but less capable of computing longer responses due to the imposition of the periodic oscillator. The proposed methods were used in numerical studies for oscillators with hysteretic damping and mixed viscous-hysteretic damping to earthquake-induced loading; correctness was verified by a time-domain method.
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Data Availability Statement
All data, models, and code that support the findings of this study are available from the corresponding author by email ([email protected]).
Acknowledgments
This research was financially supported by the National Natural Science Foundation of China (Grant Nos. 52101302 and 51879250) and the Postdoctoral Research Foundation of China (Grant No. 2021M690521).
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Published In
Journal of Engineering Mechanics
Volume 149 • Issue 3 • March 2023
Copyright
© 2023 American Society of Civil Engineers.
History
Received: Aug 10, 2022
Accepted: Nov 21, 2022
Published online: Jan 9, 2023
Published in print: Mar 1, 2023
Discussion open until: Jun 9, 2023
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