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吴国荣, 钟伟芳. 二维含裂纹结构与声耦合问题研究[J]. 力学学报, 2004, 36(1). DOI: 10.6052/0459-1879-2004-1-2003-100
引用本文: 吴国荣, 钟伟芳. 二维含裂纹结构与声耦合问题研究[J]. 力学学报, 2004, 36(1). DOI: 10.6052/0459-1879-2004-1-2003-100
ANALYSIS ON 2D CRACKED STRUCTURE-ACOUSTIC COUPLING PROBLEMS[J]. Chinese Journal of Theoretical and Applied Mechanics, 2004, 36(1). DOI: 10.6052/0459-1879-2004-1-2003-100
Citation: ANALYSIS ON 2D CRACKED STRUCTURE-ACOUSTIC COUPLING PROBLEMS[J]. Chinese Journal of Theoretical and Applied Mechanics, 2004, 36(1). DOI: 10.6052/0459-1879-2004-1-2003-100

二维含裂纹结构与声耦合问题研究

ANALYSIS ON 2D CRACKED STRUCTURE-ACOUSTIC COUPLING PROBLEMS

  • 摘要: 应用分形有限元方法结合边界元方法研究了二维含裂纹结构和声耦合问题. 采用二级分形有限元方法对含裂纹的弹性结构体进行离散处理,这样可以使得自由度数大大地减少;无限大外域声场的计算使用边界元方法,可以自动满足无穷远辐射条件. 数值仿真算例结果表明:结构声耦合系统的共振频率随着裂纹深度的增加而下降;裂纹附近的声场所受的影响较为明显.

     

    Abstract: The effective control of noise and vibration in astructural acoustic system depends largely on the accurate evaluation of thesound-structure interaction which is characterized by the energytransferring back and forth between the acoustic field and the structure.When the fluid is heavy enough, both of the responses of the sound field andthe structure can be significantly affected by this sound-structureinteraction. Applications of interest include acoustic radiation andscattering from a submerged elastic structure, acoustic cavity analysis, anddynamics of fluid-filled elastic pipe systems.In this paper, the cracked 2D elastic structure sound interaction problemsare studied by employing fractal two level finite element method combinedwith boundary element method. The cracked elastic structure is discretizedby fractal two level finite element method, which is divided into two partsby an artificial boundary. The crack neighbouring domain is discretized bythe fractal finite element method, which can reduced the freedom degreesgreatly through transforming the nodal displacements to a set of generalizedcoordinates, the another domain is discretized by the conventional finiteelement method. The exterior acoustic field is calculated by boundaryelement method, which satisfies automatically Sommerfeld's radiationcondition.In the numerical simulation procedure, the radiation and scatteringacoustical pressure by an infinite long cracked aluminum cylinder immersedin fluid are calculated, the results show that the resonate frequencies ofthe structural-acoustic coupled system become lower with the depth of thecrack increase, and that the effect on the acoustical field by the crack isparticularly pronounced in vicinity of the crack tip.

     

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