机构地区: 北京交通大学土木建筑工程学院工程力学研究室
出 处: 《应用数学和力学》 2005年第12期1417-1424,共8页
摘 要: 采用双互易边界元法对开孔无限大薄板弹性波的散射与动应力集中问题进行理论分析和数值计算.基于功的互等定理,采用静力基本解建立了薄板弯曲波动问题的双互易边界积分方程.作为数值算例,计算了圆孔附近的动应力集中系数,通过与已有结果进行比较,表明该方法简单有效并能够保证计算精度. The theoretical analysis and numerical calculation of scattering of elastic waves and dynamic stress concentrations in the thin plate with the cutout was studied using dual reciprocity boundary element method (DRM). Based on the work equivalent law, the dual reciprocity boundary integral equations for flexural waves in the thin plate were established using static fundamental solution. As ilustration, numerical results for the dynamic stress concentration factors in the thin plate with a circular hole are given. The results obtained demonstrate good agreement with other reported results and show high accuracy.