土压力作用下深井式地下停车库衬砌变形分析

建设深井式地下停车库成为缓解停车难这一问题的有力措施.停车库衬砌变形过大会产生裂缝,影响车库的抗渗性能,研究衬砌的变形规律,并控制其变形具有重要意义.依据假定条件,将侧向衬砌板简化成三边固定,一边自由的矩形薄板,将地下结构空间问题转化为弹性力学平面问题,从而大大简化计算量.使用差分法和有限元法分别推导薄板在均布荷载和三角荷载作用下的位移数值解,并与文献理论解对比.结果表明,均布荷载作用时,在板中部附近隆起,而三角荷载作用时,在板自由边跨中隆起.相对于有限元解,差分解与文献理论解更为接近,表明了计算方法的可行性.利用差分法,分别计算薄板在静止土压力、主动土压力、被动土压力作用下的位移解,为工程设计提供参考.

Analysis of Deformation of Deep Underground Parking Garage Lining under Earth Pressure

The construction of deep underground parking garages has become an effective way to alleviate parking problem. Large deformation of the parking garage lining will cause cracks, which will affect the impermeability of the garage. It is of great significance to study the deformation rule of lining and control its deformation. This paper, the side lining plate is simplified into rectangular thin-plate with three fixed boundary and one free boundary based on assumed conditions,thus the underground structure space problem is transformed into an elastic mechanics plane problem, which greatly simplifies the calculation. The numerical solutions for the displacement of plate under uniformly distributed load and triangular load are derived by using difference method and finite element method, then compared with the theoretical solutions. The results show that the plate generally rises near the center under uniformly distributed load while in the mid-span of the free boundary under triangular load. In contrast with the finite element solutions, the difference solutions are closer to the theoretical solutions, which shows the feasibility of the calculation method. The displacement solutions of thin plate under static earth pressure, active earth pressure and passive earth pressure are calculated respectively with difference method, which provides reference value for engineering design.