【源码】混合不确定度分析的PCCI方法
本文利用Jinglai提出的PCCI方法,对随机变量%和区间变量的混合不确定度进行了分析。

This code is used to analyze the hybrid uncertainty with random variables % and interval variables by using PCCI method proposed by Jinglai

% function [int_mean,int_std]=PCCI_regression(fun_name,a,b,k1,K1,Expansion,c,d,k2,K2,Distribution)

%Input

% fun_name the called function name

% a the lower bound vector of interval input

% b the upper bound vector of interval input

% k1 the order of CI expansion

% K1 the scanning (validation) points of each interval variable, larger value makes the result more accurate

% Expansion expansion type of Chebyshev polynomials-‘full’ or ‘partial’

% c the mean vector of random variable

% d the standard deviation vector of random variable

% k2 the order of PC expansion

% K2 the level of LHS sampling points (not used currently)

% Distribution currently only contains ‘gaussian’ and ‘uniform’ distribution

%Output

% int_mean a structure contains the interval mean of response

% int_std a structure contains the interval standard deviation of response

%Example

%[int_mean,int_std]=PCCI_regression(@fun_test,[-1;-1],[1;1],2,20,‘partial’,[0;1],[0.1;0.2],2,100,‘gaussian’)

参考文献:

[1] J. Wu, Z. Luo, N. Zhang, Y. Zhang, A new uncertain analysis method and its application in vehicle dynamics, Mechanical Systems and Signal Processing, 50-51 (2015) 659-675. 2] J. Wu, Z. Luo, H. Li, N. Zhang, A new hybrid uncertainty optimization method for structures using orthogonal series expansion, Applied Mathematical Modelling, 45 (2017) 474-490.

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