平面SH波入射下深埋圆形组合衬砌洞室的动力反应分析  

Dynamic Response Analysis of Deep Buried Cylindrical Com posite-lining Cavity Subjected to Incident Plane SH Waves

作　　者：李刚[1] 钟启凯[1,2] 尚守平[1] 

机构地区：[1]湖南大学土木工程学院,湖南长沙410082 [2]中建三局股份公司工程承包总公司,湖北武汉430064

出　　处：《湖南大学学报（自然科学版）》2010年第1期17-22,共6页Journal of Hunan University:Natural Sciences

基　　金：国家科技支撑计划资助项目(2006BAJ03A10-06);湖南省科技厅资助项目(06SK4057);湖南省建设科技项目(2006-15)

摘　　要：利用波函数展开法,研究平面SH波入射下,深埋圆形组合衬砌洞室的动力反应问题.利用得到的级数解和数学应用软件MathCAD编写计算机程序,讨论了入射波频率、组合衬砌结构的厚度比、弹性模量、泊松比、密度等因素对围岩和衬砌结构动应力集中系数的影响.结果表明组合衬砌确实能有效地发挥围岩的自承能力,降低衬砌结构的动应力集中,且在低频入射时效果显著.By using wave function expansion method, the dynamic response analysis of a deep buried cylindrical compositeqining cavity in an elastic space subjected to incident plane SH waves was studied. By compiling programs with the obtained series solution and mathematical application software MathCAD, the main factors affecting the dynamic stress concentration of the surrounding rock and composite-lining structure, such as the frequency of incident waves, the ratio of the size of composite-lining structure and the elastic modulus, the poisson＇s ratio and the density of composite-lining structure, were discussed. The re- sult has indicated that the composite-lining structure brings the surrounding rock＇s self-supporting into full play and reduces the dynamic stress concentration factor of lining structure. Furthermore, the effect is remarkable when the frequency of the incident waves is low.

关 键 词：波函数展开法 深埋洞室 动应力集中 SH波 级数解 组合衬砌 

分 类 号：O347[理学—固体力学] P315.3[理学—力学]