Author(s): CHEN Ning, YU De-jie, Lü Hui, XIA Bai-zhan, State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, Hunan University
Pages: 200-207
Year: 2014 Issue:  12
Journal: Engineering Mechanics
Keyword:  uncertainty; fuzzy parameter; perturbation finite element method; 2D acoustic field; prediction of sound pressure;
Abstract: 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.