摘要
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 a two-dimension acoustic field with uncertain parameters, a fuzzy concept was introduced to describe the uncertainties of physical parameters, applied loads as well as boundary conditions, and the correlated formulation about the analysis of the two-dimension acoustic field with fuzzy parameters were presented. The fuzzy dynamic stiffness matrix and fuzzy applied load matrix in different ?-level cut were expanded by the first order Taylor series. The fuzzy dynamic stiffness matrix inverse was approximated by the first order Neumann series. Then, the sound pressure solution set can be obtained by using the perturbation finite element method. Numerical examples of the sound pressure response analysis of a 2D acoustic tube model and a2 D car acoustic cavity model with fuzzy parameters were presented, and the results showed that the method proposed can analyze a 2D acoustic field with fuzzy parameters accurately and effectively.
出处
《工程力学》
EI
CSCD
北大核心
2014年第12期200-207,共8页
Engineering Mechanics
基金
湖南大学汽车车身先进设计制造国家重点实验室自主课题项目(60870002)
关键词
不确定性
模糊参数
摄动有限元法
二维声场
声压预测
uncertainty
fuzzy parameter
perturbation finite element method
2D acoustic field
prediction of sound pressure
