边坡稳定性任意条分法分析中安全系数的计算

基于边坡稳定性分析的任意条分方法, 在单元静力平衡分析中引进作用在边界上的虚拟平衡力, 满足边坡安全系数求解过程中单元静力平衡的要求。分析了虚拟平衡力与边坡安全系数间的变化规律, 研究了通过迭代求解非线性方程确定在虚拟平衡力趋于零时边坡安全系数的基本原理。研究结果表明:基于给出的算法,通过迭代求解安全系数, 收敛速度快;在迭代初期,平衡力与安全系数间有较复杂的对应关系;当迭代次数大于某一值后,平衡力随安全系数的增加而单调地变化。

Variational Approach of Timoshenko Beams with Internal Elastic Restraints

An exact approach for free transverse vibrations of a Timoshenko beam with ends elastically restrained against rotation and translation and arbitrarily located internal restraints is presented. The calculus of variations is used to obtain the equations of motion, the boundary conditions and the transitions conditions which correspond to the described mechanical system. The derived differential equations are solved individually for each segment of the beam with the corresponding boundary and transitions conditions. The derived mathematical formulation generates as particular cases, and several mathematical models are used to simulate the presence of cracks. Some cases available in the literature and the presence of some errors are discussed. New results are presented for different end conditions and restraint conditions in the intermediate elastic constraints with their corresponding modal shapes.

福建紫金山大垅里某厂区滑坡失稳机理分析及治理

福建紫金山大垅里某厂区边坡,在经历多个降雨天气后发生滑坡,边坡原有的坡面支护措施失效,坡顶产生裂缝,边坡处于不稳定状态。为分析该边坡的失稳机理,采取现场土体样品进行三轴和直剪实验,分析降雨对该厂区边坡土体力学参数的影响;根据厂区滑坡破坏情况,选择典型剖面,采用任意条分法,用Geo-slide边坡分析软件对滑坡区进行滑动面安全系数分析。采用削坡、锚索锚杆、抗滑桩等综合治理措施进行加固,并对治理方案进行稳定性验算,结果表明边坡稳定性系数由0.943增加到1.359,超过设计安全系数,边坡状态稳定,可实现预期治理目标。