中文摘要：

考虑立井连续施工过程,从解析角度研究施工过程中的应力与位移。从一般粘弹时变力学方程出发,用拉普拉斯变换法寻找粘弹问题解与弹性问题解的对应关系,指出只有自相似粘弹时变问题才可获得这种对应关系。对于可模拟为Maxwell粘弹性体的岩体,仅考虑自重应力作用时,根据这种对应关系得到圆形立井施工过程应力和位移解析解,并分析了施工速度和围岩径向位移之间的关系。

英文摘要：

For vertical shaft continuous construction, displacement and stress during construction are analyzed by using timevarying mechanics method. First, Laplace transform method is used in order to look for the relation between viscoelastic solutions and elastic solutions of time-varying problem. The research indicated that the corresponding relations are existed when boundary varying is self-similar. The format of boundary rune= tion of self-similar time-varying is presented also. Stress and displacement of vertical shaft during construction are obtained according to the corresponding relations in this paper, and relations of construction speed and displacement of r-direction is analyzed by the presented solution.