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

A New Uncertain Analysis Method for the Prediction of Acoustic Field with Random and Interval Parameters
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随机区间参数声场预测的不确定分析新方法

DOI:
10.1155/2016/3693262
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发表时间:
2016-05
影响因子:
1.6
通讯作者:
Huang Qibai
Huang Qibai
中科院分区:
工程技术4区
文献类型:
--
作者:
Wang Mingjie;Wan Zhimin;Huang Qibai

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针对具有随机和区间参数声场的频率响应分析,提出了一种非侵入式的不确定性分析方法-多项式混沌响应面法。该方法采用多项式混沌展开法处理随机参数,采用响应面法处理区间参数。PCRS方法不需要努力修改模型方程,由于其非侵入性的特点。通过PCRS与现有的区间分析方法相结合,可以有效地评估频率响应的期望,方差和概率密度函数的上下界。通过两个数值算例验证了该方法的精度和有效性。结果表明,PCRS方法是更有效的相比,直接蒙特卡罗模拟(MCS)方法的基础上,原始的数值模型,而不会造成显着的精度损失。
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.
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期刊: Journal of Vibration and Acoustics
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