Composite Implicit Time Integration Method for Nonviscous Damping Structural Dynamic System
Publication: Journal of Engineering Mechanics
Volume 149, Issue 9
Abstract
A nonviscous damping model uses convolution to account for the complete velocity history. The displacement response, velocity response, and acceleration response of a system with nonviscous damping are usually computed by modified direct integration methods. However, existing direct integration methods often come with strong numerical damping that reduces the accuracy of calculated responses. An improved composite direct integration method based on the Bathe method is proposed in this study. In this method, the convolution of the nonviscous damping is computed using Simpson’s rule to improve the accuracy. The combination of Simpson’s rule and the Bathe method almost doubles the efficiency of the calculation of responses. Nonviscous damping of two moments can be computed within one loop calculation of the convolution. Compared with existing direct integration methods, the accuracy can be improved using the proposed method. Moreover, a simplified method is proposed to improve the efficiency of response calculation for the exponential kernel nonviscous damping system. The simplified method can improve the efficiency of computation greatly. Examples are used to validate the performance of the extended composite direct integration and simplified method.
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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
This work is supported by the National Key R&D Program of China (2022YFC2806600), the Fundamental Research Funds for the Central Universities (Grant No. B220204002), and the China Scholarships Council (No. 201906710172). The authors would also like to thank the reviewers and the instructor for their constructive comments.
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Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 149 • Issue 9 • September 2023
Copyright
© 2023 American Society of Civil Engineers.
History
Received: Oct 31, 2022
Accepted: Apr 2, 2023
Published online: Jun 26, 2023
Published in print: Sep 1, 2023
Discussion open until: Nov 26, 2023
ASCE Technical Topics:
- Composite materials
- Computing in civil engineering
- Continuum mechanics
- Damping
- Dynamic models
- Dynamics (solid mechanics)
- Engineering fundamentals
- Engineering materials (by type)
- Engineering mechanics
- Materials engineering
- Methodology (by type)
- Models (by type)
- Numerical methods
- Solid mechanics
- Structural dynamics
- Structural engineering
- Structural models
- Structural systems
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