Time Integration Method with High Accuracy and Efficiency for Structural Dynamic Analysis
Publication: Journal of Engineering Mechanics
Volume 145, Issue 3
Abstract
In this study, a novel composite time integration method is proposed for more accurately and efficiently solving typical structural dynamic problems. In this method, the second-order accuracy is ensured for dynamic problems. First, the stability, accuracy properties, local truncation error, and global error are analyzed and compared with available state-of-the-art methods in the literature. Then, three sets of parameters are recommended and discussed, and optimization of these parameters results in a high accuracy and efficiency of the proposed method. Finally, three classical examples with high-frequency vibrations, where a large ratio of the time step size to the period is adopted, are presented to demonstrate the accuracy, efficiency, and applicability of the proposed method.
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Acknowledgments
The first author appreciates the financial support of the China Scholarship Council and the Independent Exploration and Innovation Project for Ph.D. students at Central South University (2016zzts072). The work described in this paper was also supported by a key basic research project (Project 973) of P.R. China under Contract 2015CB057701. Louisiana State University provided the high-performance computing resources. All the findings reported here are those of the authors and do not necessarily represent those of the sponsors.
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Published In
Journal of Engineering Mechanics
Volume 145 • Issue 3 • March 2019
Copyright
©2019 American Society of Civil Engineers.
History
Received: Feb 6, 2018
Accepted: Aug 24, 2018
Published online: Jan 11, 2019
Published in print: Mar 1, 2019
Discussion open until: Jun 11, 2019
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