船舶总纵极限强度模糊可靠性研究

The Fuzzy Reliability Study of Ship Longitudinal Ultimate Strength

本文以模糊数学和结构可靠性基本理论为基础,分析了传统随机可靠性理论的不足,并在常规模糊可靠性理论研究的基础上,利用模糊集合与普通集合之间的转换关系,研究了模糊变量组合时的可靠性计算方法,拓展了模糊可靠性理论的使用范围。通过对模糊可靠度计算结果分析发现,模糊可靠性理论使设计更加科学,更加符合工程实际;模糊变量组合在船舶总纵极限强度可靠性上的应用,避免了传统计算方法由于变量统计数据不足而导致的偏差,减少了很多繁复的数学运算。算例分析验证了本文方法的准确性和实用性。

Based on the basic theories of fuzzy mathematics and structure reliability, the disadvantages of traditional random reliability theory are analyzed in this paper. Moreover, on the basis of conventional fuzzy reliability theory, the conversion relationship between the fuzzy set and common set is applied in order to make a research on how to calculate the reliability of fuzzy variable combinations, thus the application scope of fuzzy reliability theory is broadened. Through the analyses of fuzzy reliability calculations, it is found that fuzzy reliability theory can help the design to be more scientific and more feasible for engineering, at the same time, the way that is used in the ship longitudinal ultimate strength can help the traditional calculation methods to keep away from error due to inadequate variable data, and to reduce the frequency of complicated mathematical calculations. Finally, it is verified through the analyses of calculation examples that the method proposed by authors is accurate and feasible.