摘要
以附加非线性粘滞阻尼器的单自由度非线性滞回系统为对象,建立其地震下位移响应计算的等效线性化方法。非线性主体结构等效为线性弹簧单元与线性粘滞单元构成的Kelvin模型;非线性粘滞附加体系分两步等效:1)等效为Maxwell模型表示的线性粘滞附加体系;2)将线性粘滞附加体系等效为线性粘滞Kelvin模型。附加体系的两种等效模型与主体结构组合得到结构系统的两种等效模型(模型A和模型B)。基于稳态响应推导了两种等效模型各单元的参数表达式,通过共振曲线比较了两种等价模型的精度。对48种具有不同周期、支撑刚度比和速度指数的结构系统,考虑3种延性系数,输入8条地震波,实施共计1 152种工况的弹塑性时程分析,根据时程分析结果对基于稳态响应的等价阻尼比进行修正。修正后的等价参数可有效地用于预测原非线性结构系统的地震位移响应。
An equivalent linearization method was proposed for single-degree-of-freedom bilinear hysteretic system added with nonlinear viscous damper.The bilinear hysteretic element was equated to a Kelvin model.The added component was equated to:1)A Maxwell model composed of a linear viscous element and linear spring element.2)A Kelvin model composed of a linear viscous element and a linear spring element,and so that two equivalent models(Model A and Model B),were obtained.The mechanical parameters of the two equivalent models were derived based on the stationary vibration state.A total of 1 152 cases of nonlinear time history analysis were performed on 48 structural systems with different combination of structural parameters,and the equivalent damping ratio was revised by regression analysis.The accuracy of the proposed equalization method was verified through the time history analysis results.The theoretical and numerical results suggest that the proposed equivalent models can be effectively used to calculate the seismic displacement response of nonlinear hysteretic systems added with nonlinear viscous dampers.
作者
蒲武川
戴枫禹
黄斌
PU Wu-chuan;DAI Feng-yu;HUANG Bin(School of Civil Engineering and Architecture,Wuhan University of Technology,Wuhan 430070,China)
出处
《武汉理工大学学报》
CAS
北大核心
2018年第5期51-58,共8页
Journal of Wuhan University of Technology
基金
湖北省自然科学基金(2015CFB489,2016CFA020)
关键词
非线性粘滞阻尼器
非线性滞回系统
等价线性化
地震位移响应
nonlinear viscous damper
nonlinear hysteretic system
equivalent linearization
seismic displacement response
