摘要
研究了结构不确定参量用超椭球凸集描述情况下的非概率可靠性问题,提出了一个可靠性指标,可用于度量超椭球凸集模型与区间变量共存情况下的结构安全程度;给出了该指标的求解算法;设计了超椭球凸集模型的M on te C arlo仿真算法,通过算例比较了该指标与传统概率可靠性指标之异同。
Reliability-based design is one of the alternative techniques for design under uncertainty. Most of the reliability approaches employ probabilistic methods which require large amount of information to accurately define the detailed description of uncertain parameters. By contrast, the convex model theory requires only the various bounds of parameters. This theory is gaining wide attention for cases where lack of information makes the implementation of the probabilistic approaches more difficult. In this paper, the non-probabilistic reliability problem of structures with uncertain parameters bounded by convex models especially ellipsoidal models is investigated. A non-probabilistic reliability index, which can be used as a measure of safety of structures with both ellipsoidal models and interval parameters, is proposed. The feasibility of the proposed theory is proved and explained in detail. The comparison of the non-probabilistic reliability index and the failure frequency calculated by Monte Carlo method is presented by a simple example.
出处
《计算力学学报》
CAS
CSCD
北大核心
2005年第5期546-549,578,共5页
Chinese Journal of Computational Mechanics
基金
国家自然科学基金(50075065)资助项目
关键词
超椭球凸集模型
可靠性
区间变量
非概率的
ellipsoidal convex model
reliability
interval variables
non-probabilistic
