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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.采用Laplace变换和波函数展开法,对半空间饱和土中均布突加荷载作用下圆柱形衬砌结构的动力响应进行了研究.以大半径凸圆弧来近似半空间表面,将半空间饱和土中的波动方程展开成无穷级数的形式,应用Graff加法公式进行坐标变换,根据连续条件和边界条件,确定波函数展开式中的未知系数,求得了半空间饱和土中均布突加荷载作用下圆柱形衬砌的动力响应解答,讨论了衬砌埋深对圆柱形衬砌动力响应的影响.该问题的求解,为地下结构的动力分析提供了一种有效方法.
The underground lining structure is often subjected to the internal dynamic load, and the dynamic stress concentration of the lining structure caused by the internal load attracts much attention.Using Laplace transform and wave function expansion method, the cylindrical shape The dynamic response of the lining structure is studied. The surface of the half-space is approximated by a large radius convex arc, the wave equation in half-space saturated soil is expanded into an endless series, and the coordinate transformation is performed by Graff’s addition formula. According to the continuous condition and The dynamic response of cylindrical lining in uniform half-space saturated soil is obtained, and the influence of lining depth on the dynamic response of cylindrical lining is discussed. Solving the problem provides an effective method for the dynamic analysis of underground structures.