Improved Explicit Method for Structural Dynamics
Publication: Journal of Engineering Mechanics
Volume 133, Issue 7
Abstract
An explicit method, which simultaneously has the most promising advantages of the explicit and implicit methods, is presented. It is shown that numerical properties of the proposed explicit method are exactly the same as those of the constant average acceleration method for linear elastic systems. However, for nonlinear systems, it has unconditional stability for an instantaneous stiffness softening system and conditional stability for an instantaneous stiffness hardening system. This conditional stability property is much better than that of the Newmark explicit method. Hence, the proposed explicit method is possible to have the most important property of unconditional stability for an implicit method. On the other hand, this method can be implemented as simply as an explicit method, and hence, possesses the most important property of explicit implementation for an explicit method. Apparently, the integration of these two most important properties of explicit and implicit methods will allow the proposed explicit method to be competitive with other integration methods for structural dynamics.
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Acknowledgments
The writer is grateful to acknowledge that this study is financially supported by the National Science Council, Taiwan, R.O.C., under Grant No. NSC-93-2211-E-027-012.
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Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 133 • Issue 7 • July 2007
Pages: 748 - 760
Copyright
© 2007 ASCE.
History
Received: Sep 6, 2005
Accepted: Dec 8, 2006
Published online: Jul 1, 2007
Published in print: Jul 2007
Notes
Note. Associate Editor: Arif Masud
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