Response Probability Analysis of Random Acoustic Field Based on Perturbation Stochastic Method and Change-of-Variable Technique
Response Probability Analysis of Random Acoustic Field Based on Perturbation Stochastic Method and Change-of-Variable Technique
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DOI：
10.1115/1.4024853
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发表时间：
2013-10
期刊：
影响因子：
--
通讯作者：
Baizhan Xia;Dejie Yu
中科院分区：
文献类型：
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作者：
Baizhan Xia;Dejie Yu
为了计算随机声场响应的概率密度函数，将摄动随机有限元法（PSFEM）和变变量技术统一起来，提出了变变量摄动随机有限元法（CVPSFEM）。在所提出的方法中，随机声场的响应近似为一个线性函数的随机变量的基础上的一阶随机扰动分析。根据随机声场响应与随机变量之间的线性关系，利用变元法得到了随机声场响应的概率密度函数的形式表达式。二维声管和三维汽车舱内声腔的数值算例验证了该方法的准确性和有效性。因此，所提出的方法可以被认为是一种有效的方法来量化的随机声场的参数随机性对声压响应的影响。
To calculate the probability density function of the response of a random acoustic field, a change-of-variable perturbation stochastic finite element method (CVPSFEM), which integrates the perturbation stochastic finite element method (PSFEM) and the change-of-variable technique in a unified form, is proposed. In the proposed method, the response of a random acoustic field is approximated as a linear function of the random variables based on a first order stochastic perturbation analysis. According to the linear relationship between the response and the random variables, the formal expression of the probability density function of the response of a random acoustic field is obtained by the change-of-variable technique. The numerical examples on a two-dimensional (2D) acoustic tube and a three-dimensional (3D) acoustic cavity of an automobile cabin verify the accuracy and efficiency of the proposed method. Hence, the proposed method can be considered as an effective method to quantify the effects of the parametric randomness of a random acoustic field on the sound pressure response.