Grey confidence interval-based reliability analysis method for structure stress-intensity interference model set

Abstract

The invention discloses a grey confidence interval-based reliability analysis method for a structure stress-intensity interference model set. For the problem that a conventional probability thought cannot provide effective estimation of a structure stress and intensity mean value due to finite sample information of structure stress and intensity parameters and difficult determination of statistic characteristics, the method comprises the steps of first defining grey distance measure of an inter-finite-sample topological relation and a distance relation, and performing grey generation of the grey distance measure to obtain an estimated value of the structure stress and intensity mean value; defining and solving a grey density index to obtain a confidence interval of the stress and intensity mean value under the condition of meeting the requirement of a certain grey confidence degree; and finally, introducing a structure reliability theory in a non-probability set theory framework to derive a two-dimensional reliability measure index for structure stress-intensity interference models, thereby realizing reasonable mapping of structure reliability analysis and confidence degree evaluation from samples, wherein the two-dimensional reliability measure index is of confidence degree significance.

Description

technical field [0001] The invention relates to the technical field of finite sample confidence interval estimation and structural safety assessment, in particular to a reliability analysis method for structural stress-strength interference models based on gray intervals and meeting certain confidence requirements, in order to realize poor information and less data in engineering Reasonable quantification of parameter uncertainties under conditions and effective measurement of security situation under two-dimensional ensemble interference model of structural stress and strength provide feasible solutions. Background technique [0002] The safety of structures, especially the strength of structures, is the core concern in the field of engineering design. Due to the obvious effects of material dispersion and load uncertainty, coupled with the limitation of test cost and cycle in actual engineering, the sample information available is often very limited. Therefore, how to use s...

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Problems solved by technology

The probabilistic reliability theory is mature, but the demand for samples is large and the engineering applicability is poor; the non-probabilistic reliability analysis method based on set theory has natural advantages in dealing with small sample situations, but the current method does not start from the experimental samples, and it is also Calculation of Structural Reliability Index Without Confidence Requirements

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