Explicit Pseudodynamic Algorithm with Improved Stability Properties
Publication: Journal of Engineering Mechanics
Volume 136, Issue 5
Abstract
An explicit pseudodynamic algorithm with an improved stability property is proposed herein. This algorithm is shown to be unconditionally stable for any linear elastic systems and any instantaneous stiffness softening systems. The most attracting stability property is that it can have unconditional stability for the instantaneous hardening systems with the instantaneous degree of nonlinearity less than or equal to 2. This property has never been found among the currently available explicit algorithms. Hence, it may be applied to perform a general pseudodynamic test without considering the stability problem since it is rare for a civil engineering structure whose instantaneous degree of nonlinearity is greater than 2. This explicit algorithm can be implemented as a common explicit pseudodynamic algorithm, such as the use of the Newmark explicit method, since it does not involve any iteration procedure. In addition, it possesses comparable accuracy as that of a general second-order accurate integration method such as the Newmark explicit method. Both numerical and error propagation properties are analytically studied and numerical experiments are used to confirm these properties. Actual pseudodynamic tests attested to the feasibility of this proposed explicit pseudodynamic algorithm.
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Acknowledgments
The writer acknowledges financial support of this study by the National Science Council, Taiwan, R.O.C. under Grant No. UNSPECIFIEDNSC-95-2221-E-027-099.
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Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 136 • Issue 5 • May 2010
Pages: 599 - 612
Copyright
© 2010 ASCE.
History
Received: May 17, 2008
Accepted: Sep 29, 2009
Published online: Oct 1, 2009
Published in print: May 2010
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