摘要
基于大圆弧假定,采用Fourier-Bessel波函数展开法求解了楔形空间中圆弧形凹陷对平面SH波的散射问题,给出了一种楔形空间中弹性波散射的新方法。利用两个大圆弧面模拟楔形空间表面,以方便的构造散射波场。进而借助Graf坐标转换,由边界条件推导得出了该问题的近似解析解。通过同现有结果的对比,验证了该新方法的精度。计算结果表明:同半空间情况相比,楔形空间中圆弧凹陷附近动力反应更为剧烈,凹陷表面动应力集中效应也更为显著;动力反应特征依赖于波入射角、入射波频率和楔形夹角。该研究为楔形空间中P和SV波散射问题的求解奠定了基础。
Based on the large circle assumption, a new method was proposed to study the diffraction of SH waves by a circular canyon in wedge-shaped space by applying Fourier Bessel series expansion technique. With two very large curved surfaces simulating the space surface, the scattering field can be conveniently formed. Finally,an analytic solution was derived and solved by Graf＇s addition theorem. The accuracy of this proposed method was verified by comparing present study with available exact solutions. The numeri- cal results indicate that, comparing with the case of half space, the canyon in wedge space can more sig- nificantly amplify the surface motion, and the more serious dynamic stress concentration can be found on canyon surface;the profile of surface displacement depends on the angle of incidence, the frequency of incident wave,and the angle of wedge. This study will lay a foundation for the analysis of the scattering of P and SV waves in wedge-shaped space.
出处
《力学季刊》
CSCD
北大核心
2010年第3期363-370,共8页
Chinese Quarterly of Mechanics
基金
教育部博士点基金项目(200800560046)
关键词
楔形空间
圆弧凹陷
平面SH波
波函数展开
散射
wedge-shaped space
circular canyon
plane SH waves
Fourier-Bessel series expansion
diffraction
