几何边界随机的建筑物的摄动随机内力分析

PERTURBATION STOCHASTIC ANALYSIS OF BUILDINGS WITH RANDOM GEOMETRIC BOUNDARY

本文针对开采区建筑物下岩层地表移动变形的随机性，研究了地基底部移动变形的随机性对结构附加内力的影响。考虑地基-基础-上部结构的共同作用，在讨论地基底部变形随机场的基础上，将几何边界随机的摄动随机有限元方法用于计算建筑物的附加应力。算例分析表明该方法使采动区建筑物受力分析更趋完善和准确，为抗变形建筑物优化设计及其加固、保护奠定了基础。

In view of the randomness of the movement and deformation of rock strata under buildings in a mining area, the effect of the movement and deformation of the ground bottom on the additional stresses of the building is studied. By considering the interaction of ground-foundation-building and the random deformation field of ground bottom, the perturbation stochastic finite element method (P.S.FEM) is adopted to calculate the additional stresses of the building. It is shown that the present method offers accurate prediction of stresses. The work provides useful guidelines on optimum design, protection and maintenance of buildings in a mining area.