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ANALYSIS ON ACOUSTICAL SCATTERING BY A CRACKED ELASTIC STRUCTURE
引用本文:ZhongWeffang WuYongdong WuGuorong LiangYide. ANALYSIS ON ACOUSTICAL SCATTERING BY A CRACKED ELASTIC STRUCTURE[J]. Acta Mechanica Solida Sinica, 2003, 16(3): 262-268. DOI: 10.1007/s10338-003-0135-7
作者姓名:ZhongWeffang WuYongdong WuGuorong LiangYide
作者单位:[1]DepartmentofMechanics,HuazhongUniversityofScienceandTechnology,Wuhan430074,China [2]DepartmentofCivilBuildingConstruction,CityUniversityofHongKong,HongKong
摘    要:The acoustical scattering by a cracked elastic structure is studied. The mixed method of boundary element and fractal finite element is adopted to solve the cracked structure-acoustic coupling problem. The fractal two-level finite element method is employed for the cracked structure, which can reduce the degree of freedoms (DOFs) greatly, and the boundary element method is used for the exterior acoustic field which can automatically satisfy Sommerfeld‘s radiation condition. Numerical examples show that the resonance frequency is lower with the crack‘s depth increase, and that the effect on the acoustical field by the crack is particularly pronounced in the vicinity of the crack tip. This mixed method of boundary element and finite element is effective in solving the scattering problem by a cracked structure.

关 键 词:声散射 结构-声学相互作用 裂纹 BEM FEM 噪声控制 弹性结构 边界元方法 有限元方法

ANALYSIS ON ACOUSTICAL SCATTERING BY A CRACKED ELASTIC STRUCTURE
Zhong Weifang Wu Yongdong Wu Guorong. ANALYSIS ON ACOUSTICAL SCATTERING BY A CRACKED ELASTIC STRUCTURE[J]. Acta Mechanica Solida Sinica, 2003, 16(3): 262-268. DOI: 10.1007/s10338-003-0135-7
Authors:Zhong Weifang Wu Yongdong Wu Guorong
Affiliation:(1) Department of Mechanics, Huazhong University of Science and Technology, 430074 Wuhan, China;(2) Department of Civil Building and Construction, City University of Hong Kong, Hong Kong, China
Abstract:The acoustical scattering by a cracked elastic structure is studied.The mixed method of boundary element and fractal finite element is adopted to solve the cracked structure-acoustic coupling problem.The fractal two-level finite element method is employed for the cracked struc- ture,which can reduce the degree of freedoms(DOFs)greatly,and the boundary element method is used for the exterior acoustic field which can automatically satisfy Sommerfeld's radiation con- dition.Numerical examples show that the resonance frequency is lower with the crack's depth increase,and that the effect on the acoustical field by the crack is particularly pronounced in the vicinity of the crack tip.This mixed method of boundary element and finite element is effective in solving the scattering problem by a cracked structure.
Keywords:interaction  structure-acoustics  crack  BEM  FEM
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