Abstract:Deal with the limitations of measurement uncertainty evaluation method based on ISO GUM, A new approach to the evaluation of measurement uncertainty based on the polynomial chaos theory is presented. The main assumptions behind the measurement uncertainty propagation based on the GUM is analyzed. The measurement uncertainty evaluation used the PCT approach is provided. By the GUM and PCT method, the relative absolute difference between the confidence obtained in the two cases and the true value is computed. It is show that in case of a distribution very different from the Gaussian, the polynomial approach leads to results very close to the ideal case.
[1]ISO/IEC:Uncertainty of measurement—Part 3: Guide to the expression of uncertainty in measurement[S].2008.
[2]国家质量监督检验检疫总局.JJF 1059.1-2012 测量不确定度评定与表示[S].2012.
[3]DAntona G. Expanded uncertainty and coverage factor computation by higher order moments analysis[C]// IMTC 04. Proceedings of the 21st IEEE,Vol.1, 234-238.
[4]王晓东,康顺.多项式混沌方法在随机方腔流动模拟中的应用[J].中国科学,2011,41(6):790-798.
[5]皮霆,张云清,吴景铼.基于多项式混沌方法的柔性多体系统不确定性分析[J].中国机械工程,2011,22(19):2341-2343.
[6]Dongbin Xiu, Karniadakis G E. Modeling uncertainty in flow simulations via generalized polynomial chaos[J]. Journal of Computational Physics, 2003, 187 :137-167.
[7]Finette S. A stochastic representation of environmental uncertainty and its coupling to acoustic wave propagation in ocean waveguides[J]. Journal of the Acoustical Society of America, 2006, 120(5):2567-2579.
[8]Lacor C, Smirnov S. Uncertainty propagation in the solution of compressible Navier-Stokes equations using polynomial chaos Decomposition[C]//NATO RTO AVF-147 Symposium on “Computational Uncertainty in Military Vehide Design”, Athens, Grecce, 2007, 1-13,48.
[9]H J 威佛, 中德·王 (数学). 离散和连续傅里叶分析理论[M].北京:北京邮电学院出版社,1991.216-219.
[10]薛毅.数值分析与科学计算[M].北京:科学出版社,2011.271-280.