摘要
为提高板结构-声场耦合分析的计算精度,将有限元-径向点插值法(Finite Element-Radial Point Interpolation,FE-RPIM)推广到板结构-声场耦合问题的结构域分析中,推导了FE-RPIM/FEM法分析板结构-声场耦合问题的计算公式。板结构-声场耦合分析的FE-RPIM/FEM法在流体域中采用标准的有限元插值函数;在结构域中采用有限元-径向点插值法,其形函数由等参单元形函数和径向点插值函数相结合构成,继承了有限元法的单元兼容性和径向点插值法的Kronecker性质,提高了插值精度。以六面体声场-结构耦合模型为研究对象进行分析,结果表明,与板结构-声场耦合问题分析的有限元/有限元法(Finite element method/Finite element method,FEM/FEM)和光滑有限元/有限元法(Smoothed Finite Element Method/Finite Element Method,SFEM/FEM)相比,FE-RPIM/FEM在分析板结构-声场耦合问题时具有更高的精度。
In order to improve the accuracy of simulation analysis for plate structural-acoustic coupling systems, the finite element-radial point interpolation method(FE-RPIM) was extended to solve the plate structural-acoustic coupling problems and the formulation of coupled FE-RPIM/FEM was presented for the plate structural-acoustic coupled systems. The finite element-radial point interpolation method was used for structure domain and the standard FEM model was used for the acoustic domain. The shape function of the finite element-radial point interpolation method is the combination of the isoparametric element shape function and the radial point interpolation function; the compatibility properties of the finite element method and Kronecker properties of RPIM were inherited. Thus, the accuracy of simulation analysis can be improved. The numerical example of a box structural- acoustic coupled model was presented, which shows that the FE-RPIM/FEM method achieves higher accuracy as compared with FEM/FEM and SFEM/FEM for the analysis of plate structural-acoustic coupling problems.
出处
《工程力学》
EI
CSCD
北大核心
2015年第6期207-214,共8页
Engineering Mechanics
基金
科技计划重大专项项目(K1204005-11-1)
关键词
有限元-径向点插值法
有限元法
径向点插值法
板结构
结构-声场耦合系统
finite element-radial point interpolation method
finite element method
radial point interpolation method
plate structure
structural-acoustic coupling system
