基于INR-Kriging法的航天飞行器用BCC型点阵夹芯板的不确定性动力学特性研究

Uncertain dynamic characteristics analysis of BCC truss core sandwich plates for spacecraft based on the INR-Kriging method

  • 摘要: 为实现航天飞行器用BCC型点阵夹芯板动力学特性的精确分析,在基于三维弹性理论建立的确定性数值分析模型的基础上,考虑结构中混合不确定性因素的影响,研究并提出了一种采用INR-Kriging法对BCC型点阵夹芯板动力学特性进行不确定性传播分析的方法。将BCC型点阵夹芯板中的混合不确定性因素分为认知不确定性和随机不确定性,并分别利用模糊区间和模糊概率进行具体的量化表征。采用INR法和Kriging法分别作为模糊区间和模糊概率不确定性传播分析的基础方法,并综合考虑两者之间的耦合效应,建立了高效的混合不确定性传播分析方法。通过INR-Kriging所得结果与蒙特卡洛模拟及已发表文献结果的对比,证明了本研究方法的有效性,进而分析了不同不确定性因素对BCC型点阵夹芯板不确定性动力学特性的影响。研究结果可为工程实践中点阵夹芯板的不确定性动力学特性设计、评估与应用提供理论参考。

     

    Abstract: In order to realize accurate analysis of dynamic characteristics of BCC truss core sandwich plates for the spacecraft, a method for the uncertainty-propagation analysis of dynamic characteristics of BCC truss core sandwich plates using the INR-Kriging method is proposed by considering the effects of uncertainties, based on the deterministic numerical model published by the three-dimensional elastic theory. Classify the hybrid uncertainty in BCC truss core sandwich plates into cognitive uncertainties and random uncertainties, and quantitatively characterize them using fuzzy intervals and fuzzy probabilities, respectively. Adopting the INR method and Kriging method as basic methods for the uncertainty-propagation analysis of fuzzy intervals and fuzzy probabilities, respectively, and comprehensively considering the coupling effect between two methods, an efficient hybrid uncertainty-propagation analysis method is established. The effectiveness of the proposed method in this study is verified by comparing the INR-Kriging results with the results of Monte Carlo simulations and published literature, and then the effects of different uncertainties on uncertain dynamic characteristics of BCC truss core sandwich plates are analyzed. The research findings can provide theoretical references for the design, evaluation and application of uncertain dynamic characteristics of truss core sandwich plates.

     

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