弯剪型层模型弹塑性时程分析的若干问题  

Discussion on elasto-plastic time-history analysis of shear-bending storey model

作　　者：陆铁坚[1] 杨诗龙 

机构地区：[1]中南大学土木工程学院,湖南长沙410075

出　　处：《铁道科学与工程学报》2014年第5期35-40,共6页Journal of Railway Science and Engineering

摘　　要：就弯剪型层模型弹塑性时程分析问题进行探讨。首先,引入2种荷载工况,根据每种荷载工况下原结构和等效模型的相同楼层位置处的位移对应相等,得到各楼层的等效抗弯刚度和抗剪刚度。其次,在采用并联电路模型和引入弯曲变形层单元形函数的基础上,基于势能驻值原理推导了层单元刚度矩阵。最后,建立基于层间动力状态参数的动力方程,并在此基础上,不引入任何假设,进一步推导拐点精确计算公式且给出了加载点和卸载点的拐点处理一致公式。结果表明:本文推导的层单元刚度矩阵是正确可行的,且薄弱层的最大层间位移计算值随拐点处理方法的不同而有较大差异。This paper devotes to the elasto-plastic time-history analysis method for complex structural system based on shear-bending storey model.Firstly,the equivalent bending and shear stiffness for each storey were obtained according to the assumption that the value of displacement at each floor level of the original structure e-quates to that of the equivalent model under horizontal load.Then on the basis of applying the parallel-circuit model and introducing the shape function of bending deflection,the stiffness matrix of storey element was de-duced based on the principle of stationary potential energy.Ultimately,the dynamic equation in view of inter-stored state parameters was established,by which the accurate computational formula for dealing with loading and unloading critical point was derived without any assumption introduced.The accuracy and feasibility of the stiff-ness matrix of storey element proposed in the present paper was verified in comparison with study of a numerical example,while there existed large variation for maximum inter-storey displacement of the weak storey when u-sing different methods for the critical point.

关 键 词：弯剪型结构 层模型 弹塑性 时程分析 拐点 

分 类 号：TU311.3[建筑科学—结构工程]