结构静力非线性分析与弹塑性时程分析结果的统计关系及残余变形计算

Statistical relationship between results of static nonlinear analysis and elasto-plastic time-history and calculation of residual deformation for structures

选取100条地震波并标准化为地面峰值加速度为0.1g～0.5g的地震波,采用Takeda和Kinematic恢复力模型对单自由度体系进行弹塑性时程分析;同时使用100条地震波获得的不同阻尼比的弹性加速度反应谱,基于Takeda、Kinematic模型,采用欧洲规范的方法,对单自由度体系进行静力非线性分析;建立静力非线性分析结果与弹塑性时程分析结果的统计关系以及单自由度体系残余变形与最大塑性位移的统计关系。分析表明:弹塑性时程分析结果的平均值与静力非线性分析结果的关系在一定程度上受地面峰值加速度和结构自振周期影响,基本不受结构刚度退化比影响;基于Takeda和Kinematic模型的静力非线性分析结果略低于弹塑性时程分析结果的平均值,而基于欧洲规范方法的静力非线性分析结果则高于弹塑性时程分析结果的平均值;残余变形与最大塑性位移的关系明显受地面峰值加速度和结构刚度退化比的影响。

Elasto-plastic time-history response analysis were conducted for SDOF system based on Takeda＇s and Kinematic restoring force model under 100 normalized recoded ground motions.Static nonlinear analysis was conducted using the established elastic response spectrum,which was set up based on the same group of recoded ground motions.The relationship between the results of static nonlinear analysis and those of elasto-plastic time-history response analysis,and the relationship between the residual deformation and the maximum plastic deformation were determined in the sense of statistics.It indicates that the relationship between average of results of elasto-plastic time-history response analysis for SDOF and the result of static nonlinear analysis is a function of the peak acceleration of ground motion and natural period while not affected by the stiffness degrading ratio.The result of static nonlinear analysis is always slightly lower than the average result of elasto-plastic time-history response analysis in the case of Takeda＇s and Kinematic models,while remarkably higher in the case of Eurocode＇s model.Both of the peak acceleration of ground motion and stiffness ratio has a significant influence on the relationship between residual deformation and maximum plastic deformation.