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| Procedures for computing the non-probabilistic reliability index of uncertain structures |
| Revised:April 09, 2003 |
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| DOI：10.7511/jslx20052046 |
| KeyWord:non-probabilistic reliability,structural reliability,limit state function,interval variable |
| GUO Shu-xiang~ |
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| Abstract: |
| When available data are limited, or insufficient information is available for verifying a probabilistic model, a non-probabilistic set model may be a valid alternative. In the non-probabilistic reliability theory that we proposed in several previous papers, structural reliability is measured by the non-probabilistic reliability index. In the paper, general arithmetic of interval variables was studied. Three procedures called, respectively, definitional procedure, transformational procedure and procedure by optimization, for computing the non-probabilistic reliability index were presented. Some detailed process of realization of the procedures was given. The procedure by definition or by transformation, where accuracy results may be given, can be used for computing structural reliability of general problems. For the problems in which the limit state functions are complex, the procedure by optimization may be used for reliability computation. Three numerical examples were provided to illustrate the validity and feasibility of the presented procedures. |
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