| 吕震宙,冯蕴雯.改进的区间截断法及基于区间分析的非概率可靠性分析方法[J].计算力学学报,2002,19(3):260~264 |
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| 改进的区间截断法及基于区间分析的非概率可靠性分析方法 |
| A advanced interval-truncation approach and non-probabilistic reliability analysis based on interval analysis |
| 修订日期：2000-12-25 |
| DOI：10.7511/jslx20023057 |
| 中文关键词: 非概率,区间分析,可靠性 |
| 英文关键词:non-probability,interval analysis,reliability |
| 基金项目:国家自然科学基金 ( 5 95 75 0 40 ,59775 0 32 )，航空基金 ( 0 0 B5 30 10 )资助 |
| 吕震宙 冯蕴雯 |
西北工业大学飞机工程系 陕西西安710072
(吕震宙，冯蕴雯)
，西北工业大学飞机工程系 陕西西安710072(岳珠峰)
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| 中文摘要: |
| 从工程应用的角度出发 ,提出了用区间表示参数的不确定性时 ,线性系统的非概率可靠度指标 ,此可靠度指标在试验数据较少时比概率可靠度指标更合理 ;另外本文还提出了计算响应参量变化范围的区间截断法 ,研究了截断参数 t的选取范围 ,算例分析表明 ,当 t取为所有输入参数的最大相对变化量时 ,由区间截断法算得的结果近似等于精确解 ,而随着 t的增大 ,区间截断法的解逐渐平稳地趋近于由区间算术运算所求得的直接解。 |
| 英文摘要: |
| From the view of engineering application, the non\|probabilistic reliability index of linear system is presented on the interval description of uncertainty parameter. And the non-probabilistic reliability index is more rational than the probabilistic one, as the experiment data are unavailable to set up the probability density function. Furthermore, an interval-truncation approach is investigated for computing the interval of response variable, and the selection of truncation parameter t is illustrated. As t takes a value that is equal to or little bigger than the maximum relative deviation of the input parameters to the corresponding central values, a solution with high precision can be obtained. The solution of the truncation interval is convergent to that calculated by the direct interval arithmetic method as the increase of t. |
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