TY - EJOU AU - Yin, Hui AU - Yu, Dejie AU - Yin, Shengwen AU - Xia, Baizhan TI - A New Hybrid Uncertain Analysis Method and its Application to Acoustic Field with Random and Interval Parameters T2 - Computer Modeling in Engineering \& Sciences PY - 2015 VL - 109-110 IS - 3 SN - 1526-1506 AB - 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). KW - Perturbation method KW - Chebyshev polynomials KW - acoustic field prediction KW - random variables KW - interval variables DO - 10.3970/cmes.2015.109.221