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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: djyu@hnu.edu.cn

Computer Modeling in Engineering & Sciences 2015, 109-110(3), 221-246. https://doi.org/10.3970/cmes.2015.109.221

Abstract

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).

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APA Style
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. Computer Modeling in Engineering & Sciences, 109-110(3), 221-246. https://doi.org/10.3970/cmes.2015.109.221
Vancouver Style
Yin H, Yu D, Yin S, Xia B. A new hybrid uncertain analysis method and its application to acoustic field with random and interval parameters. Comput Model Eng Sci. 2015;109-110(3):221-246 https://doi.org/10.3970/cmes.2015.109.221
IEEE Style
H. Yin, D. Yu, S. Yin, and B. Xia, “A New Hybrid Uncertain Analysis Method and its Application to Acoustic Field with Random and Interval Parameters,” Comput. Model. Eng. Sci., vol. 109-110, no. 3, pp. 221-246, 2015. https://doi.org/10.3970/cmes.2015.109.221



cc Copyright © 2015 The Author(s). Published by Tech Science Press.
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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