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考虑耦合质量项的影响,对饱和地基中圆柱形衬砌结构的瞬态响应问题进行了研究。基于Biot波动理论,将饱和土体和衬砌结构分别视为流固耦合两相介质和弹性均匀介质,对波动方程进行Laplace变换和变量分离,求得了饱和地基中均布突加荷载作用下,衬砌结构的动力响应解答。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,确定表达式的未知系数。采用Laplace逆变换的数值积分法,给出相应的数值解,分析了饱和土参数、衬砌结构参数对衬砌结构的动力响应的影响。文中还分析了耦合质量对衬砌结构动力响应的影响。
Considering the influence of coupling quality, the transient response of cylindrical lining structure in saturated soil is studied. Based on the Biot wave theory, the saturated soil and lining structures are regarded as fluid-solid coupling two-phase medium and elastic homogeneous medium respectively. Laplace transform and variable separation of the wave equation are carried out. Under uniform uniform sudden load in saturated soil, Structural dynamic response solution. The unknown coefficient of the expression is determined by using the continuity between the soil and the lining structure and the boundary conditions on the inner boundary of the lining structure. The Laplace inverse numerical integration method is used to give the corresponding numerical solution. The influence of saturated soil parameters and lining structure parameters on the dynamic response of lining structure is analyzed. The effect of coupling quality on the dynamic response of lining structure is also analyzed.