A New Uncertain Analysis Method for the Prediction of Acoustic Field with Random and Interval Parameters

• Published in: Shock and vibration Vol. 2016; no. 2016; pp. 1 - 16
• Main Authors: Wang, Mingjie, Huang, Q. B., Wan, Zhimin
• Format: Journal Article
• Language: English
• Published: Cairo, Egypt Hindawi Publishing Corporation 01.01.2016; Hindawi Limited; Wiley
• Subjects: Analysis; Chaos theory; Computer simulation; Frequency response; Intervals; Mathematical models; Methods; Monte Carlo methods; Parameters; Polynomials; Probability distributions; Response surfaces
• ISSN: 1070-9622; 1875-9203
• DOI: 10.1155/2016/3693262

For the frequency response analysis of acoustic field with random and interval parameters, a nonintrusive uncertain analysis method named Polynomial Chaos Response Surface (PCRS) method is proposed. In the proposed method, the polynomial chaos expansion method is employed to deal with the random parameters, and the response surface method is used to handle the interval parameters. The PCRS method does not require efforts to modify model equations due to its nonintrusive characteristic. By means of the PCRS combined with the existing interval analysis method, the lower and upper bounds of expectation, variance, and probability density function of the frequency response can be efficiently evaluated. Two numerical examples are conducted to validate the accuracy and efficiency of the approach. The results show that the PCRS method is more efficient compared to the direct Monte Carlo simulation (MCS) method based on the original numerical model without causing significant loss of accuracy.