不确定条件下复合材料结构的全局灵敏度分析

Global sensitivity analysis for composite structures with uncertainties

  • 摘要: 基于不确定条件下结构的全局灵敏度分析理论,研究了输入变量的不确定性对复合材料结构输出响应量方差和失效概率的影响。考虑材料力学性能、铺设角、铺层厚度及加载载荷的不确定性,利用基于方差和基于失效概率的全局灵敏度分析方法,对复合材料结构输出位移和强度比的不确定性来源进行分析,得到输入变量的全局灵敏度排序结果。对复合材料工字梁结构进行算例分析,验证了所得排序结果的有效性,为工程实际中复合材料结构稳定性优化设计提供了一定的指导。

     

    Abstract: Based on the global sensitivity analysis for structures with uncertainties, the effects of uncertainties of input variables on the variance of output response of composite structures and failure probability were investigated. Considering the uncertainties of mechanial properties of material, ply orientation angles, ply thickness and applied loads, the uncertain propagations of inputs on output responses displacement and strength ratio were analyzed using the global sensitivity analysis supported by the variance-based method and the method based on failure probability. The numerical example of the composite I-beam validates the effectiveness of sorting results, which are useful for the stable optimization design of composite structures in engineering.

     

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