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The gradient projection method for non-probabilistic reliability index based on interval model |
Received:January 18, 2012 Revised:August 16, 2012 |
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DOI:10.7511/jslx201302004 |
KeyWord:reliability index non-probabilistic reliability the gradient projection method interval model infinite norm |
Author | Institution |
李世军 |
华中科技大学 土木工程与力学学院,武汉 |
樊建平 |
华中科技大学 土木工程与力学学院,武汉 |
漆炜 |
湖北省交通运输厅 通信信息中心,武汉 |
陈旭勇 |
武汉工程大学 环境与城市建设学院,武汉 |
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Abstract: |
A new search algorithm for effectively solving non-probabilistic reliability index is presented and discussed using the interval model of uncertain in this study.Based on the basic concept of function gradient,the gradient projection method,which conventionally used to analyze probabilistic reliability,is adopted to solve non-probabilistic reliability index by creating search directions and establishing iterative computation formulation.When the convergence point is not the most possible failure one,the spatial dimensional reduction is proposed.The calculation steps of the gradient projection method are also presented.The numerical examples have illustrated the search efficiency and validity of the proposed algorithm. |