Abstract
There are so many failure modes in large structures with a high degree of redundancy that it is impossible to identify all of them a priori for estimating structural systems reliability or probability of failure. For the purpose, the β-unzipping method is discussed in chapter 6. An alternative and more rigorous method [7.1–9] is given in this chapter. First, the basic concepts are explained through a simple structure in sections 7.2 and 7.3. Second, the generalization is given in section 7.4 to identify the stochastically dominant failure paths. Third, some procedures are discussed in section 7.5 for evaluating the systems reliability by using the generated failure paths. Fourth, section 7.6 is concerned with application to a jacket-type offshore platform. Finally, heuristic operations which are essential for reliability assessment of large-scale structures, and numerical examples are presented in section 7.7.
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Thoft-Christensen, P., Murotsu, Y. (1986). The Branch-and-Bound Method. In: Application of Structural Systems Reliability Theory. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-82764-8_7
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DOI: https://doi.org/10.1007/978-3-642-82764-8_7
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