地下圆形衬砌洞室在平面P波和SV波入射下动应力集中问题的级数解  

On Dynamic Stress Concentration of an Underground Cylindrical Lined Cavity Subjected to Incident Plane P and SV Waves

作　　者：纪晓东[1] 梁建文[1] 杨建江[1] 

机构地区：[1]天津大学建筑工程学院,天津300072

出　　处：《天津大学学报》2006年第5期511-517,共7页Journal of Tianjin University(Science and Technology)

基　　金：家自然科学基金资助项目(50378063)教育部新世纪优秀人才支持计划.

摘　　要：利用Fourier-Bessel级数展开法,研究了平面P波和SV波入射情况下,圆形衬砌洞室的动应力集中问题, 并给出了其级数解．数值结果表明,衬砌刚度对动应力集中系数具有重要影响,刚性衬砌、无衬砌和柔性衬砌三种情况的动应力集中系数在空间上的分布相同,但刚性衬砌情况的动应力集中系数最大,无衬砌情况次之,柔性衬砌情况最小;随着入射频率的增大,动应力集中系数的空间变化由简单逐渐变得复杂,动应力集中系数在多数情况下逐渐减小;波入射角度对动应力集中系数也有很大影响．By using Fourier-Bessel series expansion method, dynamic stress concentration of a cylindrical lined cavity in an elastic half-space subjected to incident plane P and SV waves is studied, and the series solution is presented. The numerical results show that, the rigidity of lining has great effect on the dynamic stress concentration factor, and the dynamic stress concentration factor distributions of cavities with rigid lining, without lining, and with flexible lining are the same, but the dynamic stress concentration factor is the highest for a cavity with rigid lining, and takes the second place for an unlined cavity, and is the lowest for a cavity with flexible lining; as the incident frequency increases, the dynamic stress concentration factor becomes complicated and gradually decreases in most cases; the angle of the incident waves also plays an important role in the dynamic stress concentration factor.

关 键 词：衬砌洞室 动应力集中 P波 SV波 散射 级数解 

分 类 号：O347.4[理学—固体力学] P315.3[理学—力学]