Journal
MATHEMATICS
Volume 9, Issue 10, Pages -Publisher
MDPI
DOI: 10.3390/math9101095
Keywords
sensitivity analysis; distribution parameter; sampling calculation; unscented transformation; Gaussian integration
Categories
Funding
- National Natural Science Foundation of China [51875525, U1610112]
- Natural Science Foundation of Zhejiang Province [LY21E050008, LY20E050020, LY19E050004]
- Open Foundation of the State Key Laboratory of Fluid Power and Mechatronic Systems [GZKF-201916]
- Fundamental Research Funds for the Provincial Universities of Zhejiang [RF-B2019004]
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A sampling-based sensitivity analysis methodology was proposed for engineering products with uncertain input variables and distribution parameters, reducing nonlinearity and calculating mean and variance using innovative methods. Compared to traditional Monte Carlo simulation, the proposed algorithm decreased loop and sampling numbers efficiently, showcasing accuracy and efficiency in numerical and engineering examples.
For engineering products with uncertain input variables and distribution parameters, a sampling-based sensitivity analysis methodology was investigated to efficiently determine the influences of these uncertainties. In the calculation of the sensitivity indices, the nonlinear degrees of the performance function in the subintervals were greatly reduced by using the integral whole domain segmentation method, while the mean and variance of the performance function were calculated using the unscented transformation method. Compared with the traditional Monte Carlo simulation method, the loop number and sampling number in every loop were decreased by using the multiplication approximation and Gaussian integration methods. The proposed algorithm also reduced the calculation complexity by reusing the sample points in the calculation of two sensitivity indices to measure the influence of input variables and their distribution parameters. The accuracy and efficiency of the proposed algorithm were verified with three numerical examples and one engineering example.
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