平纹机织碳纤维复合材料多尺度随机力学性能层次敏感性

doi:10.3901/JME.2021.14.213

机械工程学报 ›› 2021, Vol. 57 ›› Issue (14): 213-222.doi: 10.3901/JME.2021.14.213

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平纹机织碳纤维复合材料多尺度随机力学性能层次敏感性

许灿^1,2, 朱平^1,2, 刘钊³

1. 上海交通大学机械系统与振动国家重点实验室上海 200240;
2. 上海交通大学上海市复杂薄板结构数字化制造重点实验室上海 200240;
3. 上海交通大学设计学院上海 200240

收稿日期:2020-07-30 修回日期:2021-01-13 出版日期:2021-09-15 发布日期:2021-09-15
通讯作者: 朱平(通信作者),男,1966年出生,博士,教授,博士研究生导师。主要研究方向为多学科优化与不确定性优化设计、轻量化设计与制造等。E-mail:pzhu@sjtu.edu.cn
作者简介:许灿,男,1989年出生,博士研究生。主要研究方向为不确定性分析及优化设计。E-mail:xc_sjtu@sjtu.edu.cn
基金资助:
国家自然科学基金重点（汽车产业创新发展联合基金）（U1864211）和国家自然科学基金（11772191）资助项目

Hierarchical Sensitivity Analysis of Multiscale Stochastic Mechanical Properties for Plain Woven Carbon Fiber Composites

XU Can^1,2, ZHU Ping^1,2, LIU Zhao³

1. State Key Laboratory of Mechanical System and Vibration, Shanghai Jiao Tong University, Shanghai 200240;
2. Shanghai Key Laboratory of Digital Manufacture for Thin-walled Structures, Shanghai Jiao Tong University, Shanghai 200240;
3. School of Design, Shanghai Jiao Tong University, Shanghai 200240

Received:2020-07-30 Revised:2021-01-13 Online:2021-09-15 Published:2021-09-15

摘要/Abstract

摘要： 平纹机织碳纤维复合材料各尺度的材料属性和空间结构不确定性对材料随机力学性能影响程度不一。为了在多个尺度上确定影响材料随机力学性能的关键参数，基于方差分析逐层级地研究平纹机织碳纤维复合材料各尺度中材料、结构参数关于随机力学性能的敏感性。通过指标集成策略将各尺度敏感性指标组合得到系统级敏感性指标，并对各参数的影响程度进行排序、评估，从根源上识别出关键参数。该方法能够确定考虑不确定性的材料-结构一体化设计过程中的关键设计变量，有助于降低变量维度从而提高设计质量和效率。

关键词: 碳纤维复合材料, 多尺度, 随机力学性能, 层次敏感性分析, Sobol指标

Abstract: Uncertainties in material properties and space structure at different scales of the plain woven carbon fiber composites have different effects on the stochastic mechanical properties. In order to determine the key parameters affecting the stochastic mechanical properties on multiple scales, the sensitivity of material and structural parameters on stochastic mechanical properties of plain woven carbon fiber composites at various scales are studied scale by scale based on variance analysis method. Through the indices integration strategy, the sensitivity indices at all scales are combined to obtain the system-level sensitivity indices, and the influence degree of parameters is sorted and evaluated, so as to identify the key parameters from the source. The method can determine the key design variables in the material-structure integration design under uncertainty, which helps to reduce the variable dimension so as to improve the design quality and efficiency.

Key words: carbon fiber composites, multiscale, stochastic mechanical property, hierarchical sensitivity analysis, Sobol index

中图分类号:

O302
TH122

许灿, 朱平, 刘钊. 平纹机织碳纤维复合材料多尺度随机力学性能层次敏感性[J]. 机械工程学报, 2021, 57(14): 213-222.

XU Can, ZHU Ping, LIU Zhao. Hierarchical Sensitivity Analysis of Multiscale Stochastic Mechanical Properties for Plain Woven Carbon Fiber Composites[J]. Journal of Mechanical Engineering, 2021, 57(14): 213-222.

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平纹机织碳纤维复合材料多尺度随机力学性能层次敏感性

Hierarchical Sensitivity Analysis of Multiscale Stochastic Mechanical Properties for Plain Woven Carbon Fiber Composites

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