锚索抗滑桩内力计算的传递矩阵法  

Transfer matrix algorithm for calculating internal forces of anti-sliding pile with anchor cable

作　　者：尹静 邓荣贵[2] 王金梅[2] 王园园[2] 李凯甜 

机构地区：[1]中国中铁科学研究院有限公司,四川成都611731 [2]西南交通大学土木工程学院,四川成都610031

出　　处：《岩土力学》2017年第12期3517-3523,3531,共8页Rock and Soil Mechanics

基　　金：国家自然科学基金(No.41272321)~~

摘　　要：为了改进现有锚索抗滑桩计算中存在的不足,将传递矩阵算法应用于锚索抗滑桩结构内力计算。推导了适合抗滑桩计算的场矩阵和点矩阵,能够完成普通抗滑桩、桩顶作用集中荷载以及桩身有多个受力分段的抗滑桩内力计算,再结合具体的不同点矩阵形式,可以完成预应力锚索抗滑桩内力计算。根据预应力锚索抗滑桩的工作原理,给出了不同受力阶段的传递矩阵计算式。最后,通过具体的计算实例对预应力锚索抗滑桩不同受力阶段的内力和位移进行了计算分析,结果表明,在锚索预应力作用下,受荷段出现较大的剪力和弯矩,位移较小;进入变形协调阶段后,滑面处和锚固段的剪力明显增加,锚固段出现较大弯矩,桩顶出现向前的位移。To improve the defects of anti-sliding pile calculation, the transfer matrix algorithm is applied to the internal forces calculation for anti-slide pile structure. Point matrix and field matrix are derived. Utilizing them could complete the internal forces calculation for common anti-slide piles, anti-slide piles with concentrated loads on the pile top, and the anti-slide pile under concentrated forces on pile body. According to the working principle of the anti-slide pile with anchor cable, transfer matrix calculation formulas of different stress stages are given. The corresponding calculation program is made based on MATLAB. It could get the internal forces and displacements of any section of the pile body quickly and easily and calculate the foundation reaction. Finally, the calculation analysis for the internal forces and displacements of different stress stages of the anti-slide pile with anchor cables is made through a specific calculation example. The results show that there will be larger shear and bending moments, smaller displacements at the loaded segment under the action of anchor cable prestress. In the stage of displacements coordination, the shear at the sliding surface and the anchorage segment increase significantly, bigger bending moments appear at the anchorage segment, and forward displacements appeared at the pile top.

关 键 词：抗滑桩 预应力锚索 传递矩阵法 内力 变形 

分 类 号：TU473[建筑科学—结构工程]