噪声与振动控制2018，Vol.38Issue(3)：36-41,6.DOI:10.3969/j.issn.1006-1355.2018.03.007
全局弱式无网格方法求解消声器横向模态
Transverse Mode Analysis of Silencers by using Global Weak-form Mesh-free Method
摘要
Abstract
The transverse modes of silencers are extracted by using the global weak-form mesh-free method (MFM). The radial base-function point interpolation method is used for dispersing the eigenvalue equations and the Galerkin method is used for numerical integration. Utilizing the global weak-form mesh-free method, the eigenvalues and eigenvectors of the model with circular section, irregular section and perforated section are calculated respectively. Results of computation are in good agreement with those of analytical solution and 2D finite element solution. Compared with 2D finite element method, the global weak-form mesh-free method has less computer-time consuming. Additionally, the effects of size of support domain and shape parameters of the radial basis functions on the calculation accuracy are evaluated.关键词
声学/消声器/横向模态/全局弱式无网格方法/径向基函数点插值法/伽辽金加权残数法Key words
acoustics/silencer/transverse mode/global weak-form mesh-free method/radical base-function point interpolation method/Galerkin weighted residual method分类
能源科技引用本文复制引用
赵辉,左继强,刘成洋,方智..全局弱式无网格方法求解消声器横向模态[J].噪声与振动控制,2018,38(3):36-41,6.基金项目
国家自然科学基金资助项目(11504119) （11504119）
