基于广义超椭球模型的结构非概率可靠性指标

乔心州; 赵悦童; 方秀荣; 刘鹏

doi:10.21656/1000-0887.440061

基于广义超椭球模型的结构非概率可靠性指标

doi: 10.21656/1000-0887.440061

西安科技大学机械工程学院，西安 710054

基金项目:

国家自然科学基金 51775427

详细信息

通讯作者:
乔心州(1974—)，男，副教授，硕士生导师(通讯作者. E-mail: qiaoxinzhou@xust.edu.cn)

中图分类号: O213.2
计量
- 文章访问数: 69
- HTML全文浏览量: 24
- PDF下载量: 12
- 被引次数: 0
出版历程
- 收稿日期: 2023-03-07
- 修回日期: 2023-09-17
- 刊出日期: 2024-04-01

Non-Probabilistic Reliability Indexes Based on the Generalized Super Ellipsoid Model

College of Mechanical Engineering, Xi'an University of Science and Technology, Xi'an 710054, P.R.China

摘要

摘要: 非概率凸集合模型仅需获知结构不确定性的范围或界限来度量结构可靠性，因而适用于小样本不确定性结构工程问题. 针对广义超椭球模型，对其非概率可靠性度量问题进行了研究. 首先，提出了基于广义超椭球模型的简单非概率可靠性指标，定义为结构功能函数的均值与离差之比，并讨论了该可靠性指标的不一致性问题. 其次，为克服上述不一致性问题，提出了一种比例因子非概率可靠性指标，定义为不确定域向外扩大或向内收缩时，失效面与不确定域接触的最小比例因子. 最后，通过3个工程算例分析验证了所提非概率可靠性指标的有效性和可行性.
- 广义超椭球模型 /
- 非概率可靠性 /
- 简单非概率可靠性指标 /
- 比例因子非概率可靠性指标
Abstract: The non-probabilistic convex model only requires the bounds or domains of structural uncertain parameters to measure structural reliability, and therefore is more appropriate for engineering structures with limited experimental data. The problem of non-probabilistic reliability measurement of the generalized super ellipsoid model was studied. A simple non-probabilistic reliability index was first proposed to evaluate the safety degree of a structure, which was defined as the ratio of the mean value of the performance function to its deviation. The inconsistency problem in the simple non-probabilistic reliability index was further discussed. To overcome the above inconsistency problem, a ratio factor reliability index was then presented, which was defined as the minimum ratio factor at which the failure surface is in contact with the uncertainty domain contracting inward or expanding outward. Three numerical examples demonstrate the validity and feasibility of the proposed non-probabilistic reliability indexes.
- generalized super ellipsoid model /
- non-probabilistic reliability /
- simple non-probabilistic reliability index /
- ratio factor non-probabilistic reliability index

HTML全文

图 1 三种情况下的广义超椭圆

Figure 1. Three cases of generalized super ellipses

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图 2 二维情况下的坐标系旋转

Figure 2. Rotation of the coordinate system (2D case)

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图 3 简单非概率可靠性指标的三种情况

Figure 3. Three cases of simple non-probabilistic reliability indexes

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图 4 简单非概率可靠性指标

注为了解释图中的颜色，读者可以参考本文的电子网页版本，后同.

Figure 4. Simple non-probabilistic reliability indexes

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图 5 比例因子非概率可靠性指标(η>0)

Figure 5. Ratio factor non-probabilisticreliability indexes (η>0)

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图 6 比例因子非概率可靠性指标(η < 0)

Figure 6. Ratio factor non-probabilisticreliability indexes (η < 0)

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图 7 三种不同情况下的比例因子非概率可靠性指标

Figure 7. Ratio factor non-probabilistic reliability indexes under 3 different cases

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图 8 悬臂梁

Figure 8. A cantilever beam

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图 9 不同m_cr下的两种非概率可靠性指标

Figure 9. Two non-probabilistic reliability indexes under different m_cr values

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图 10 悬臂梁

Figure 10. A cantilever beam

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图 11 随屈服强度S变化的非概率可靠性分析结果(S=187.6~300 MPa)

Figure 11. Non-probabilistic reliability analysis results under the variation of yield strength S (S=187.6~300 MPa)

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图 12 刮板输送机链轮

Figure 12. The sprocket wheel of the scraper conveyor

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图 13 链轮有限元分析图

Figure 13. The finite element analysis diagram of the sprocket wheel

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图 14 随屈服强度S变化的非概率可靠性分析结果(S=835~1 135 MPa)

Figure 14. Non-probabilistic reliability analysis results under the variation of yield strength S (S=835~1 135 MPa)

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