壳结构声场耦合分析的光滑有限元-有限元法  

Analysis of Shell Structural-acoustic Coupling Based on Smoothed Finite Element and Finite Element Method

作　　者：姚凌云[1] 于德介[1] 臧献国[1] 

机构地区：[1]湖南大学汽车车身先进设计制造国家重点实验室,长沙410082

出　　处：《中国机械工程》2010年第15期1765-1770,共6页China Mechanical Engineering

基　　金：教育部长江学者与创新团队发展计划资助项目(5311050050037);国家863高技术研究发展计划资助项目(2009AA04Z414)

摘　　要：为提高壳结构-声场耦合分析的计算精度,将光滑有限元法(smoothed finite element method,SFEM)推广到壳结构-声场耦合问题的结构域分析中,推导了光滑有限元-有限元法分析壳结构-声场耦合问题的计算公式。结构-声场耦合系统方程在结构中用位移法表示;在流体中用声压法表示。在结构域中应用分区应力光滑技术,提高了弯曲刚度矩阵和膜刚度矩阵的计算精度和效率;在流体域中应用标准有限元模型进行分析。以六面体声场-结构耦合模型和简化的微车声固耦合模型为研究对象,结果表明,与有限元相比,该方法在分析结构-声场耦合问题时具有更高的精度。In order to improve the accuracy of simulation analysis on shell structural-acoustic coupled systems, a smoothed finite element method （SFEM） was extended to solve the shell structural-acoustic coupled problems, and the formulation of coupled SFEM/FEM was presented for the shell structural-acoustic coupled systems. The governing equations of a structural-acoustic system were expressed in displacement formulation for the structure and in pressure formulation for the fluid. The cell-based strain smoothing technique was performed for structure domain, and the bending stiffness matrix and membrane stiffness matrix were obtained accurately and rapidly, and the standard FEM model was used for acoustic domain. Numerical examples of a box structural-acoustic coupled model and a simple micro-car structural-acoustic coupled model were presented to show that SFEM/FEM achieves higher accuracy as compared with FEM/FEM for structural-acoustic problems.

关 键 词：光滑有限元法 有限元法 壳体结构 结构声场耦合系统 

分 类 号：TB532[理学—物理]