Unconditionally Stable Explicit Displacement Method for Analyzing Nonlinear Structural Dynamics Problems
Publication: Journal of Engineering Mechanics
Volume 144, Issue 9
Abstract
This paper introduces a novel approach based on dimensional analysis for designing explicit displacement algorithms for use in analyzing nonlinear structural dynamics problems. Using this approach, a one-parameter family of three-step unconditionally stable explicit displacement algorithms with controllable numerical energy dissipation, the CQ-3 method, is developed. The proposed method is promising for solving nonlinear structural dynamics problems with its properties of unconditional stability; explicit formulations of both displacement and velocity; controllable numerical dissipation; second-order time accuracy for displacement, velocity, and acceleration; one solver within one time step; and no overshoot for both displacement and velocity. Numerical examples are presented to demonstrate the potential of the proposed method.
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Acknowledgments
This research is jointly supported by the National Natural Science Foundation of China under Grant Nos. 51308555, 51778630, 51778639, and 51678573, the Natural Science Foundations of Hunan Province under Grant No. 14JJ3015. The above supports are greatly appreciated.
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Published In
Journal of Engineering Mechanics
Volume 144 • Issue 9 • September 2018
Copyright
©2018 American Society of Civil Engineers.
History
Received: May 11, 2016
Accepted: Nov 30, 2017
Published online: Jun 27, 2018
Published in print: Sep 1, 2018
Discussion open until: Nov 27, 2018
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