模糊随机参数二维声场数值计算

Numerical analysis of the 2D acoustic field with fuzzy-random parameters

解决声场参数同时具有模糊性和随机性的问题,实现模糊随机声场声压响应的预测,引入了信息熵理论,利用信息熵的等效转换,将模糊随机声场转化为纯随机声场或者纯模糊声场进行求解,推导了基于摄动法的二维随机声场和模糊声场的有限元计算公式。以模糊随机参数下的二维管道声场模型和某轿车二维声腔模型为例进行了数值计算,所得结果与蒙特卡洛法(Monte Carlo Method)所预测声压变化范围基本一致,同时,转化为纯随机声场和纯模糊声场所求得声压响应变化范围也基本一致,说明了本文方法计算结果的准确性。因此本文方法能很好地应用于模糊随机参数下二维声场的预测,具有重要的工程应用价值。

Aim at the problem that the fuzziness and the randomness may exist in a acoustic field at the same time, a method for the numerical analysis of the 2D acoustic field with Fuzzy-Random parameters is proposed based on the equivalent conversion of information entropy. In the proposed method, a fuzzy-random acoustic field is treated as a pure fuzzy acoustic field or a pure random acoustic field by transforming all the variables into fuzzy variables or random variables. Perturbation finite element method for calculating the fuzzy two-dimension acoustic field and random two- dimension acoustic field are deduced. The sound pressure response of a 2D acoustic tube and a 2D car acoustic cavity with fuzzy-random parameters are analyzed by the proposed method and the Monte Carlo method. The analysis results of pure fuzzy acoustic field and that of pure random acoustic field are compared in the meantime, which verifies the validity of the proposed method. Thus, the proposed method can be well applied in analyzing the 2D acoustic field with fuzzy-random parameters, and has good prospect of engineering application.