【摘要】 考虑土与衬砌结构的动力相互作用,本文研究了内源荷载作用下,圆柱形孔洞的动力响应问题。将土体和衬砌结构视为弹性均匀介质,通过引入势函数将位移控制方程化为二维轴对称波动方程。采用拉普拉斯变换,得到土体及衬砌的位移应力的表达式。利用土体与衬砌结构之间的连续性条件和衬砌结构内边界上的边界条件,可确定表达式的未知系数。采用逆拉普拉斯变换的数值方法,给出了问题的数值解。分析了土中圆形衬砌结构的动力响应随土体和衬砌结构参数的变化规律。更多还原

【Abstract】 Considering the dynamic interaction between the lining and soil,the dynamic response of a cylindrical cavity under an internal load was presented.The lining structure and soil are treated as homogeneous elastic media.Two dimensional axisymmetric wave equation was derived from the governing equation of displacement by introducing potentials functions.The expressions of the displacement and stress for both the soil and lining structure were obtained by using Laplace transform.Utilizing the inner boundary condition of the lining and the continuity conditions between the soil and the lining,the unknown coefficients in the expressions were determined.With the inverse Laplace transform,the numerical solution of the problem was presented.The dynamic responses of the lining structure in soil were analyzed for the different parameters of soil and lining.更多还原