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An Amplification Factor to Enhance Stability for Structure-Dependent Integration Method

Published online by Cambridge University Press:  16 October 2012

S.-Y. Chang
S.-Y. Chang*
Affiliation:
Department of Civil Engineering, National Taipei University of Technology, Taipei, Taiwan 10608, R.O.C.
*
* Corresponding author (changsy@ntut.edu.tw)
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Abstract

Chang explicit method (2007) has been shown to be unconditionally stable for a linear elastic system and any instantaneous stiffness softening system while it is only conditionally stable for any instantaneous stiffness hardening system. Its coefficients of the difference equation for displacement increment are functions of initial tangent stiffness. Since Chang explicit method is unconditionally stable for a linear elastic system and any instantaneous stiffness softening system, its stability range can be enlarged if the initial tangent stiffness is enlarged by an amplification factor and then this amplified initial tangent stiffness is used to determine the coefficients. The detailed implementation of this scheme for Chang explicit method is presented and the feasibility of this scheme is verified.

Keywords

Dynamic analysisTime integrationStabilityAccuracyStructure-dependent method
Type
Articles
Information
Journal of Mechanics , Volume 28 , Issue 4 , December 2012 , pp. 665 - 676
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2012

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