CAJ | 학술논문

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.
이용파함수전개법,연구평면SH파입사하,심매원형조합츤체동실적동력반응문제.이용득도적급수해화수학응용연건MathCAD편사계산궤정서,토론료입사파빈솔、조합츤체결구적후도비、탄성모량、박송비、밀도등인소대위암화츤체결구동응력집중계수적영향.결과표명조합츤체학실능유효지발휘위암적자승능력,강저츤체결구적동응력집중,차재저빈입사시효과현저.
By using wave function expansion method, the dynamic response analysis of a deep buried cylindrical composite-lining 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 result 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.