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

作　　者：赵辉 左继强 刘成洋[2] 方智[1] ZHAO Hui;ZUO Jiqiang;LIU Chengyang;FANG Zhi(School of Naval Architecture and Ocean Engineering,Huazhong University of Science and Technology,Wuhan 430074,China;China Ship Development and Design Center,Wuhan 430064,China)

机构地区：[1]华中科技大学船舶与海洋工程学院,武汉430074 [2]中国舰船研究设计中心,武汉430064

出　　处：《噪声与振动控制》2018年第3期36-41,共6页Noise and Vibration Control

基　　金：国家自然科学基金资助项目(11504119)

摘　　要：应用全局弱式无网格方法求解消声器的横向模态,使用径向基函数点插值法离散本征方程,使用伽辽金加权残数法进行数值积分。分别应用全局弱式无网格方法计算了圆形截面,不规则截面以及含有穿孔截面的本征值和本征向量,计算结果与解析方法和二维有限元方法计算结果吻合较好,并且与二维有限元方法相比,全局弱式无网格方法比较节省计算时间。进而分析了支持域的尺寸以及径向基函数中形状参数对计算精度的影响。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 2 D finite element solution. Compared with 2 D 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 

分 类 号：TK421[动力工程及工程热物理—动力机械及工程]