考虑建筑物刚度和自重的地层位移解析解

Analytical Solution of Formation Displacement Considering Building Stiffness and Dead-Weight

为更准确计算隧道施工时既有建筑下的地层位移,以西安地铁工程为依托,通过当层法和太沙基理论,推导出考虑建筑物刚度和自重的地层位移计算公式。结果表明,与只考虑建筑物刚度的地层位移计算结果相比,考虑建筑物刚度和自重计算的地层竖向位移较大,沉降曲线为塞形,水平位移较小;随着深度增大,地层竖向位移与水平位移幅值增大,水平位移曲线逐渐变陡,竖向位移的分布曲线由塞形变为高斯曲线。考虑建筑物刚度和自重的地层位移与实际情况更为符合。

In order to more accurately calculate the displacement of existing buildings under subway construction, taking Xi’an subway as engineering background, the calculation formula of the formation displacement considering the stiffness and deadweight of building is established through the equivalent layer method and the Taishaji theory. The results show that,( a)compared with the calculation results of formation displacement when only considers the stiffness of building, the vertical displacement of formation considering the stiffness and dead-weight of building is larger and the settlement curve is a " Plugshaped" curve, but the horizontal displacement is smaller;and( b) with the increase of depth, the amplitudes of vertical and horizontal displacements are all increased, and the horizontal displacement curve gradually becomes steeper and the distribution curve of vertical displacement changes from a plug-shaped curve to a Gaussian curve. The displacement of the building considering the stiffness and dead-weight of building is more in line with actual situation.