国防科技大学学报
國防科技大學學報
국방과기대학학보
JOURNAL OF NATIONAL UNIVERSITY OF DEFENSE TECHNOLOGY
2014年
5期
26-32
,共7页
结构贡献%相关贡献%二次不含交叉项%解析解
結構貢獻%相關貢獻%二次不含交扠項%解析解
결구공헌%상관공헌%이차불함교차항%해석해
structural contribution%correlative contribution%quadratic polynomial without cross terms%analytical solution
以二次不含交叉项的多项式为例,解析推导了正态相关输入变量对输出响应量方差贡献的结构贡献部分和相关贡献部分。通过算例验证了解析结果的正确性。将所研究的指标和已有的进行对比,归纳出结构贡献部分和相关贡献部分的侧重与统一。解析解可直接用于极限状态函数不超过两次且不含交叉项的结构和相关贡献的识别,为其他新的数值算法提供了参考对照。
以二次不含交扠項的多項式為例,解析推導瞭正態相關輸入變量對輸齣響應量方差貢獻的結構貢獻部分和相關貢獻部分。通過算例驗證瞭解析結果的正確性。將所研究的指標和已有的進行對比,歸納齣結構貢獻部分和相關貢獻部分的側重與統一。解析解可直接用于極限狀態函數不超過兩次且不含交扠項的結構和相關貢獻的識彆,為其他新的數值算法提供瞭參攷對照。
이이차불함교차항적다항식위례,해석추도료정태상관수입변량대수출향응량방차공헌적결구공헌부분화상관공헌부분。통과산례험증료해석결과적정학성。장소연구적지표화이유적진행대비,귀납출결구공헌부분화상관공헌부분적측중여통일。해석해가직접용우겁한상태함수불초과량차차불함교차항적결구화상관공헌적식별,위기타신적수치산법제공료삼고대조。
Based on the example of the quadratic polynomial without cross terms outputs,the structural and correlative contributions of the correlated normal input variables were derived out,which had impact on the variance contributions of output response variables.Numerical results of several examples validate the correctness of analytical solutions.Comparing the presented indices with the existent indices,some general conclusions were drawn from the structural contributions and the correlative contributions,and the differences between them were identified.The proposed analytical solutions can be directly used to identify the structural contributions and the correlative contributions of the quadratic polynomial without cross terms,which offer a reference to other numerical algorithms.