圆锥（台）形人造山体地基竖向附加应力及沉降

Vertical Additional Stress and Settlement of the Conical and Truncated Cone Shaped Artificial Mountain Foundation

摘要:

采用布辛涅斯克解，给出了圆锥形和圆台形荷载作用下地基中心竖向附加应力计算公式，发现竖向附加应力随深度衰减要远大于其他类型荷载下的结果；采用弹性有限元法，给出了圆锥形荷载作用下地基中任意位置的竖向附加应力系数图，解决了圆锥和圆台荷载下任意位置竖向附加应力以及地表沉降的计算问题。工程案例验证了采用该方法给出轴对称附加应力解的必要性；并通过一个算例分析了两个圆锥形山体作用下地基的竖向附加应力和地表沉降的相互影响规律。

关键词:圆锥(台)形荷载;布辛涅斯克解;竖向附加应力;沉降

Abstract:

By using the Boussinesq solution, the formulas for calculating the vertical additional stress of the foundation center under the action of conical and truncated cone shaped load were given. The attenuation of vertical additional stress with depth was found much greater than that under other types of loads. By using the elastic finite element method, the vertical additional stress coefficient diagram of any position of foundation under the action of conical load was given, and the calculation problems of vertical additional stress and ground settlement at any position under the conical and truncated cone shaped load were solved. A case study was carried out to testify the necessity of using the proposed method to give the axisymmetric additional stress solution. Furthermore, a calculation example was given to analyze the mutual influence rule between the vertical additional stress of the foundation and the surface settlement under the action of two conical mountains.

Key words:conical (truncated cone shaped) load;Boussinesq’s solution;vertical additional stress;settlement