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地下衬砌结构经常会受到内部动荷载的作用,内荷载引起的衬砌结构的动应力集中备受关注.论文利用波函数展开法和Laplace变换,推导了饱和土中突加荷载作用下衬砌结构和土体的位移、应力、孔压表达式.应用复变函数和保角变换,将任意形状边界映射为圆形边界,利用饱和土和衬砌结构的连续条件和边界条件,求得了任意形状衬砌结构的动力响应解答.利用Laplace反变换的数值积分方法,给出了突加荷载作用下椭圆形和圆形衬砌结构的动力响应.
The underground lining structure is often subjected to internal dynamic load, and the dynamic stress concentration of the lining structure caused by internal load has attracted much attention.In this paper, the wave function expansion method and Laplace transform are used to derive the lining structure and soil under the action of sudden load in saturated soil The displacement, stress and pore pressure expressions of the body are obtained by using complex functions and conformal transformations, and the boundary of arbitrary shape is mapped into a circular boundary. By using the continuous conditions and the boundary conditions of saturated soil and lining structure, Dynamic response solution. The dynamic response of elliptical and circular lining structures under sudden load is given by the Laplace inverse numerical integration method.