An imprecise multiscale uncertainty quantification framework for fiber reinforced composites纤维增强型复合材料非精确多尺度不确定性量化框架
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Zhao HD, Zhou CC, 2024. An imprecise multiscale uncertainty quantification framework for fiber reinforced composites. Probabilistic Engineering Mechanics, 78: 103686.DOI: 10.1016/j.probengmech.2024.103686
本研究从复合材料多尺度分析角度考虑不确定性，重点关注纤维增强型复合材料雷达罩结构的可靠性和全局灵敏度分析。基于复合材料多尺度分析方法估算宏观参数，并构建复合材料结构的宏观可靠性分析模型。从 “自下而上” 和 “自上而下” 两个角度深入探讨材料性能传递机制，从而揭示其内在规律。考虑由于缺乏变量分布信息，引入非精确概率模型来表征多尺度分析中的不确定性因素。采用嵌套优化计算方法获得可靠性和灵敏度分析结果。为了确保计算精度和计算效率，采用支持向量机模型来解决分析过程中的回归和分类问题。在非精确概率框架下的可靠性和灵敏度分析有助于工程师识别关键影响因素，从而指导复合材料雷达罩结构设计。关键词: 复合材料, 多尺度分析, 概率盒, 不确定性量化, 雷达罩结构The study focuses on the reliability and global sensitivity analysis of fiber-reinforced composite radome structures, considering uncertainty from a multiscale perspective. Macroparameters are estimated based on microparameters using the multiscale analysis method for composites, and a reliability analysis model of the composite structure at the macrolevel is constructed. The material performance mechanism is explored in depth, both "from bottom to top" and "from top to bottom", to reveal its inherent laws. Due to insufficient variable distribution information, an imprecise probabilistic model is introduced to characterize the uncertainty effect in multiscale composite analysis. A nested optimization calculation method is applied to obtain reliability and sensitivity results. To ensure both calculation accuracy and efficiency, the regression and classification problems encountered in the proposed framework are addressed using two support vector machine models. The reliability and sensitivity analysis under the imprecise probabilistic framework can help engineers identify significant influential factors, thereby guiding the design of composite radome structures.Keywords: Composites; Multiscale analysis; P-box; Uncertainty quantification; Radome structure.构建纤维增强复合材料的不确定性量化框架
通过多尺度分析深入探讨材料性能传递机制
An uncertainty quantification framework for fiber reinforced composites is constructed.
- The material performance mechanism is deeply explored based on multi-scale analysis.
The support vector machine is introduced for capturing parameters information.
- A nested optimization calculation method is applied to obtain the reliability and sensitivity results.
The composites radome structure is studied to prove efficiency and accuracy.
图 1: 非精确概率模型的概率密度函数与概率分布函数Fig. 1. PDF and CDF of the imprecise probabilistic model
Fig. 2. Hexahedron RVE model
Fig. 3. Two SVM models: classification and regression
Fig. 4. Mesh convergence analysis for RVE
Fig. 5. Procedure for analyzing multiscale composites
Fig. 6. Flowchart illustrating the calculation method
图 7: 多尺度复合材料基于方差的全局灵敏度分析结果Fig. 7. Variance-based GSA results for multiscale composites
Fig. 8. Load conditions for the laminate structure under different failure modes
Fig. 9. Failure probability results for the composites laminate
图 10: 复合材料层合板基于失效概率的全局灵敏度指标计算结果Fig. 10. GSA results based on failure probability for the composite laminate
Fig. 11. FEA model of the radome structure
Fig. 12. Failure probability results for the radome structure
图 13: 复合材料雷达罩结构基于失效概率的全局灵敏度指标计算结果Fig. 13. Failure probability-based GSA results for the radome structure
作者信息 | Authors
西北工业大学 (Northwestern Polytechnical University) 工程力学系
周长聪 Chang-Cong Zhou, 通讯作者 (Corresp.)西北工业大学 (Northwestern Polytechnical University) 工程力学系Email: changcongzhou@nwpu.edu.cn
律梦泽 M.Z. Lyu | 编辑 (Ed)
P.D. Spanos | 审校 (Rev)
陈建兵 J.B. Chen | 审校 (Rev)
彭勇波 Y.B. Peng | 审校 (Rev)
