CAJ | 학술논문

针对激励与结构参数同时存在不确定性的复合随机振动系统，由随机结构无条件动力可靠度表达式出发，利用条件概率密度函数解析变换给出衡量基本随机变量对动力可靠性影响的矩独立重要性测度指标。该指标可表征不确定性随机变量对动力可靠度响应量分布的平均影响程度，可全面反映随机变量对响应分布影响。基于状态依存参数模型，提出求解矩独立重要性测度指标的态相关参数（SDP）法。利用算例分析结构动力可靠性参数的矩独立重要性测度，并与直接 Monte -Carlo 法对比。所提方法可在保证计算精度同时大幅度提高计算效率，适用于分析复合随机振动系统非线性可靠性响应。
침대격려여결구삼수동시존재불학정성적복합수궤진동계통，유수궤결구무조건동력가고도표체식출발，이용조건개솔밀도함수해석변환급출형량기본수궤변량대동력가고성영향적구독립중요성측도지표。해지표가표정불학정성수궤변량대동력가고도향응량분포적평균영향정도，가전면반영수궤변량대향응분포영향。기우상태의존삼수모형，제출구해구독립중요성측도지표적태상관삼수（SDP）법。이용산례분석결구동력가고성삼수적구독립중요성측도，병여직접 Monte -Carlo 법대비。소제방법가재보증계산정도동시대폭도제고계산효솔，괄용우분석복합수궤진동계통비선성가고성향응。
A moment-independent importance measure index of dynamic reliability for double random vibration systems,in which the randomness of structural parameters and excitation was taken into account,was introduced to analyze the effect of input variables on dynamic reliability.Based on the expressions of unconditional dynamic reliability and conditional probability density function (PDF),the importance measure index was numerically obtained.The index can effectively describe the mean effect of the PDF on dynamic reliability from the distribution density of the basic variable.Then,on the basis of the state dependent parameter (SDP)model,the SDP method was established to estimate the defined moment-independent importance measure index.Additionally,two examples were given to illustrate the advantages of the presented method.Comparing with the direct Monte Carlo method,the results show that the established solution can considerably improve computational efficiency with acceptable precision and be suitable for analyzing non-linear dynamic reliability responses of double random vibration systems.