Modified Interval and Subinterval Perturbation Methods for the Static Response Analysis of Structures with Interval Parameters
Publication: Journal of Structural Engineering
Volume 140, Issue 5
Abstract
To overcome the drawbacks in the traditional interval perturbation method due to the unpredictable effect of neglecting the higher-order terms of Neumann series, a modified interval perturbation method is presented and used to determine the static response interval of the structure with interval parameters. In the proposed method, the inverse of the interval structural stiffness matrix is approximated by a modified Neumann expansion in which the higher-order terms of Neumann series are considered. For the uncertain structure with large uncertainty levels, the subinterval analysis technique is introduced into the proposed method and the approach to determine the number of subintervals is proposed. The modified interval and subinterval perturbation methods are implemented in the finite-element framework. Numerical results on a six-bar space truss structure and a shell structure with interval parameters verify the accuracy and efficiency of the proposed methods. Hence, the modified interval and subinterval perturbation methods can be successfully applied to the nonprobabilistic structural model, and in the future have wide application prospects.
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Acknowledgments
The paper is supported by Independent Research Project of State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body (Grant No. 60870002) and Hunan Provincial Innovation Foundation for Postgraduate (Grant No. cx2012B140). The authors would also like to thank the reviewers for their valuable suggestions.
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Published In
Journal of Structural Engineering
Volume 140 • Issue 5 • May 2014
Copyright
© 2013 American Society of Civil Engineers.
History
Received: Dec 17, 2012
Accepted: Aug 29, 2013
Published online: Dec 26, 2013
Published in print: May 1, 2014
Discussion open until: May 26, 2014
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