強度設計と信頼性 (円藤真一教授記念号)
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概要
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Three fundamental phases exist, in general, in the reliabiability-based design of machines and/or structures; the first phase is the determination of the stochastic nature, namely the probability density function, of the stress or stresses to cause structural failure, the second the evaluation of probabilistic characteristics of the strength of each member or component, and the last the linkage of the both probability density functions with the given reliability level. Each phase is, as is often the case, confronted with uncertainties due to, for instance, insufficiency of available data, approximation and imperfection of the structual model to be analyzed. In the present paper, therefore, engineering uncertainties associated with the reliability-based design are first briefly summarized and discussed. They are pointed out to be classified into two categories, one related to objective probability (termed as objective uncertainty) and the other subjective (as subjective uncertainty). Then it is a standard practice to introduce Bayesian approach techniques, thus producing a comprehensive useful reliability-based design principle by the first-order second moment method which is originally proposed by A. H-S. Ang. This design principle is carefully examined, and the advantage of introducing subjective probability in design is emphasized, while paying a rigorous attention to its limitation in the application. The present reliability-based design principle can be inversely applied to the analysis of the reliability level of any structure now existing. To this end, a simple case is briefly exemplified and discussed. In conclusion, this design principle, though it places its origin to the usage of subjective probability, plays a crucial role in the reliability-based design of machines and/or structures.
- 香川大学経済研究所の論文
香川大学経済研究所 | 論文
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