A semi-analytic method for calculating non-probabilistic reliability index based on interval models |
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Authors: | Jiang Tao Chen Jian-JunXu Ya-Lan |
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Affiliation: | School of Mechanical and Electronic Engineering, Xidian University, P.O. Box 187, 710071 Xi’an, PR China |
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Abstract: | This paper proves: (1) non-probabilistic reliability index of a structure exists merely at one of intersection points at which normalized failure surfaces of the structure intersects the straight lines passing not only through origin of an normalized infinite space but also through vertices of a symmetric convex polyhedron with its sym-center at the origin, and (2) the non-probabilistic reliability index equals to absolute value of the coordinate components of a particular intersection point. Based on a reduction of the feasible region, a semi-analytical method for calculating the reliability index is developed. The method proves to be simple and of practical significance, and has several advantages over the existing unconstrained multivariate nonlinear optimization approach. |
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Keywords: | Non-probabilistic reliability index l&infin norm Convex polyhedron Intersection point |
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