CAJ | 학술논문

针对不确定性结构可靠性分析中的输入变量分布参数具有不确定性和输入变量为区间模型的混合不确定性结构展开研究。考虑到可用信息最少的情况，将分布参数的不确定性描述为区间模型。通过等概率转换方法将随机变量与其分布参数进行分离，使问题转化为随机与区间变量混合的可靠性问题，建立了混合不确定性问题的可靠性分析模型。基于非概率可靠性理论，建立混合不确定结构分析模型的二级极限状态函数并结合Kriging代理模型建立了高效的求解方法。将所建立的混合不确定模型应用于飞行器结构的不确定性分析中，验证了所建模型的合理性和所提方法的高效性和准确性。
침대불학정성결구가고성분석중적수입변량분포삼수구유불학정성화수입변량위구간모형적혼합불학정성결구전개연구。고필도가용신식최소적정황，장분포삼수적불학정성묘술위구간모형。통과등개솔전환방법장수궤변량여기분포삼수진행분리，사문제전화위수궤여구간변량혼합적가고성문제，건립료혼합불학정성문제적가고성분석모형。기우비개솔가고성이론，건립혼합불학정결구분석모형적이급겁한상태함수병결합Kriging대리모형건립료고효적구해방법。장소건립적혼합불학정모형응용우비행기결구적불학정성분석중，험증료소건모형적합이성화소제방법적고효성화준학성。
Investigation on mixed structures with hybrid uncertainties was based on the reliability analysis of uncertain structures of the distribution parameters of input variables that acted as the interval model.Considering the available information was quite scanty,the uncertain distribution parameters were treated as the interval model.The reliability analysis model for this hybrid uncertainty was established by separating the distribution parameters from their random variables through using equivalent probability transformation method.Based on the non-probabilistic reliability theory,a high efficient solution method was proposed by successively constructing the limit state function of the proposed hybrid uncertain analytic model in two levels and combing the Kriging surrogate model.The proposed hybrid uncertain analytic model is employed to analyze aircraft structures with hybrid uncertainties,which can demonstrate the rationality of the proposed model and the efficiency and accuracy of the solution model.