摘要
无限声介质中的散射体对声波的散射是研究声与结构相互作用的重要基础。利用分形有限元和常规有限元相结合的方法对中低频段声散射问题进行了分析。由于引用了分形比 α和能够自动满足无限远辐射边界条件的全域插值函数 ,大大降低了未知量的个数 ,从而可以在较短的计算时间和较低的内存消耗的条件下高效地解决问题。计算实例表明这种方法对于求解无界域声场问题是非常有效的。
The problems of acoustic waves scattered by scatterer immersed in unbounded domain is an essential ingredient in the study of acoustic structure interaction. In this paper the problems of acoustics scattering in infinite exterior region are investigated using the method of the combination of fractal finite elements and conventional finite elements. Since the global interpolation functions, which automatically satisfy the infinite radiation conditions, are employed, the number of unknowns and the computer time and memory can be reduced significantly. Numerical examples show that this method is effective in solving unbounded acoustic problems.
出处
《振动工程学报》
EI
CSCD
北大核心
2002年第3期274-278,共5页
Journal of Vibration Engineering
关键词
分形有限元方法
散射
声波
声场
acoustical field
scatter
fractal
finite element method
