An Unconditionally Stable Explicit Algorithm for Nonlinear Structural Dynamics
Publication: Journal of Engineering Mechanics
Volume 144, Issue 6
Abstract
An unconditionally stable explicit algorithm with second-order accuracy is proposed in state space. Stability, relative period error, and amplitude decay of the proposed algorithm are studied. It is shown that the proposed algorithm is unconditionally stable for linear systems and nonlinear systems whether the stiffness of the structure is the softening or hardening type. This stability property is appealing because currently, explicit algorithms cannot be unconditionally stable when the stiffness is the hardening type. In addition, the stability and accuracy of the proposed algorithm are demonstrated by several nonlinear numerical examples.
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Acknowledgments
The authors acknowledge the financial support of this research from the National Natural Science Foundation of China (51578254) and Science and Technology Plan of Fujian Province (2015Y4007).
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Information & Authors
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Published In
Journal of Engineering Mechanics
Volume 144 • Issue 6 • June 2018
Copyright
©2018 American Society of Civil Engineers.
History
Received: Apr 20, 2016
Accepted: Dec 13, 2017
Published online: Apr 10, 2018
Published in print: Jun 1, 2018
Discussion open until: Sep 10, 2018
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