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A New Hybrid Uncertain Analysis Method and its Application to Acoustic Field with Random and Interval Parameters

Hui Yin1, Dejie Yu1,2, Shengwen Yin1, Baizhan Xia1
State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, Hunan University, Changsha, Hunan, People’s Republic of China, 410082.
Corresponding author. Tel.:+86 073188821915; fax: +86 073188823946; E-mail:

Computer Modeling in Engineering & Sciences 2015, 109-110(3), 221-246.


This paper presents a new hybrid Chebyshev-perturbation method (HCPM) for the prediction of acoustic field with random and interval parameters. In HCPM, the perturbation method based on the first-order Taylor series that accounts for the random uncertainty is organically integrated with the first-order Chebyshev polynomials that deal with the interval uncertainty; specifically, a random interval function is firstly expanded with the first-order Taylor series by treating the interval variables as constants, and the expressions of the expectation and variance can be obtained by using the random moment method; then the expectation and variance of the function are approximated by using the first-order Chebyshev polynomials; the bounds of the expectation and variance are finally obtained by using the Monte Carlo method. Numerical results on two acoustic models verify that the accuracy of HCPM is better than that of the hybrid perturbation method (HPM).


Perturbation method, Chebyshev polynomials, acoustic field prediction, random variables, interval variables.

Cite This Article

Yin, H., Yu, D., Yin, S., Xia, B. (2015). A New Hybrid Uncertain Analysis Method and its Application to Acoustic Field with Random and Interval Parameters. CMES-Computer Modeling in Engineering & Sciences, 109-110(3), 221–246.

This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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