结构的非概率可靠性方法和概率可靠性方法的比较

Comparison Between the Non-Probabilistic and Probabilistic Reliability Methods for Uncertain Structure Design

对文 [8 ]中提出的非概率可靠性方法和广泛使用的传统的概率可靠性方法 ,在建模思想、模型结构和基于可靠性的结构优化设计等方面进行了比较研究。进一步阐释了有关概念。得到了一些有益的结论。说明了非概率可靠性方法的有效性和实用性。由于非概率可靠性模型对已知数据的要求较低 ,计算过程较为简便 ,从而可使结构可靠性分析和设计中获取数据的难度大大降低。并有效降低计算工作量。在所掌握的原始数据较少的情况下 ,非概率可靠性方法为结构的可靠性计算提供了一种较好的选择。

Traditional probabilistic reliability method has been widely accepted and used to dealing with uncertainties in engineering. In the paper, the non-probabilistic reliability method we proposed in a previous paper and the widely used traditional probabilistic reliability method are compared systematically. First, the contrasts of modeling concept, model construction, and formulations for computation, etc. between the two reliability methods are put forward. Some concepts are interpreted further. Then, the reliability-based optimization of uncertain structures is compared between the two methods through a practical example. Some beneficial conclusions are obtained. Some results illustrate that the non-probabilistic reliability may be a good choice when the available data of uncertainties is lack or limited. It is also shown by a numerical example that, when non-probabilistic reliability model is constructed based on probabilistic information, the results of structural optimization based on the non-probabilistic reliability may be identical with the results based on probabilistic reliability. All this show further that the non-probabilistic reliability method is effective and useful.