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为了分析不确定性二维声场,引入模糊集概念描述声场的物理参数、载荷和边界条件的不确定性,推导了分析模糊参数下二维声场问题的相关计算公式。在不同隶属度的截集下通过对模糊动刚度矩阵和模糊载荷矩阵进行泰勒展开,再用纽曼展开对模糊动刚度矩阵泰勒展开式的逆进行转化,采用摄动有限元法求解,最终得到模糊参数下的声压解集。以二维管道声场模型和某轿车二维声腔模型为研究对象分析了模糊参数下的声压响应,结果表明该文方法能有效分析模糊参数下的二维声场,具有重要的工程应用价值。
In order to analyze the uncertainty two-dimensional sound field and introduce the concept of fuzzy sets to describe the uncertainty of the physical parameters, loads and boundary conditions of the sound field, the relevant formulas for the analysis of the two-dimensional sound field problems under the fuzzy parameters are derived. Under the different membership degree, the Taylor series expansion of the fuzzy dynamic stiffness matrix and the fuzzy load matrix is carried out, and then the inverse transformation of the Taylor expansion of the fuzzy dynamic stiffness matrix is carried out by Newman. The perturbation finite element method is used to solve the problem, and finally fuzzy Parameter set of sound pressure solution. The sound pressure response under the fuzzy parameters is analyzed with two-dimensional pipeline acoustic field model and two-dimensional acoustic cavity model of a car. The results show that the proposed method can effectively analyze the two-dimensional sound field under the fuzzy parameters and has important engineering application value.