Semiexplicit Unconditionally Stable Time Integration for Dynamic Analysis Based on Composite Scheme
This article has been corrected.
VIEW CORRECTIONPublication: Journal of Engineering Mechanics
Volume 143, Issue 10
Abstract
In this paper, a new structure-dependent unconditionally stable time-integration method is presented for structural dynamic analysis. The proposed method not only benefits from a semiexplicit formulation, but also inherits the advantages of the Bathe composite scheme. In fact, numerical characteristics of the suggested algorithm are the same as those in the Bathe composite scheme, except that the proposed method does not require any time-step subdividing, which is one of the drawbacks of the composite scheme. A comprehensive stability and accuracy analysis, including numerical dissipation and dispersion, is carried out in order to gain insight into the spectral properties of the proposed method. For numerical verification, some problems with large numbers of degrees of freedom and geometrical nonlinearity as well as linear behavior are solved by the developed technique. Results demonstrate suitable capability, efficiency, and validity of the proposed method in comparison to other existing schemes.
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Published In
Journal of Engineering Mechanics
Volume 143 • Issue 10 • October 2017
Copyright
©2017 American Society of Civil Engineers.
History
Received: Dec 23, 2015
Accepted: Mar 30, 2017
Published online: Jul 26, 2017
Published in print: Oct 1, 2017
Discussion open until: Dec 26, 2017
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