دانلود مقاله ISI انگلیسی شماره 151836
ترجمه فارسی عنوان مقاله

تجزیه و تحلیل حساسیت جهانی مبتنی بر واریانس تحلیلی برای مدل با متغیرهای همبستگی

عنوان انگلیسی
Analytical variance based global sensitivity analysis for models with correlated variables
کد مقاله سال انتشار تعداد صفحات مقاله انگلیسی
151836 2017 20 صفحه PDF
منبع

Publisher : Elsevier - Science Direct (الزویر - ساینس دایرکت)

Journal : Applied Mathematical Modelling, Volume 45, May 2017, Pages 748-767

پیش نمایش مقاله
پیش نمایش مقاله  تجزیه و تحلیل حساسیت جهانی مبتنی بر واریانس تحلیلی برای مدل با متغیرهای همبستگی

چکیده انگلیسی

In order to quantitatively analyze the variance contributions by correlated input variables to the model output, variance based global sensitivity analysis (GSA) is analytically derived for models with correlated variables. The derivation is based on the input-output relationship of tensor product basis functions and the orthogonal decorrelation of the correlated variables. Since the tensor product basis function based simulator is widely used to approximate the input-output relationship of complicated structure, the analytical solution of the variance based global sensitivity is especially applicable to engineering practice problems. The polynomial regression model is employed as an example to derive the analytical GSA in detail. The accuracy and efficiency of the analytical solution of GSA are validated by three numerical examples, and engineering application of the derived solution is demonstrated by carrying out the GSA of the riveting and two dimension fracture problem.