General partial safety factor theory for the assessment of the reliability of nonlinear structural systems

Tammam Bakeer

Reliability Engineering and System Safety, 2023, vol. 234, issue C

Abstract: The paper develops a novel and general theory for characterizing the nonlinearity of structural systems and for applying partial safety factors to these systems. The theory establishes a key relationship between the partial safety factor concept and the reliability theory of nonlinear structural systems, using the degree of homogeneity as a measure of nonlinearity at the design point. This measure allows for an efficient mathematical decoupling of the reliability index into nonlinearity-invariant partial reliability indexes. This formulation enables the identification of critical safety situations in extreme cases of nonlinearities in complex nonlinear structural systems. The theory leads to two main outcomes based on the asymptotic behavior of the reliability index. First, the reliability index of any nonlinear structural system is always bounded between an upper and lower bound, which can be determined using the concept of nonlinearity-invariant partial reliability indexes. Second, nonlinearity-invariant critical partial safety factors ensure that the reliability index is greater than the target reliability index.

Keywords: Theory of homogeneity; Nonlinear structural system; Degree of homogeneity; Partial safety factor method; Over- and under-proportional behavior; Homogeneity analysis (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:eee:reensy:v:234:y:2023:i:c:s0951832023000650

DOI: 10.1016/j.ress.2023.109150

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