带支撑粘弹性阻尼器弱非线性耗能结构的随机地震响应分析  

Random seismic response characteristic of weak nonlinear energy dissipation structure with viscoelastic damper and supporting brace

作　　者：夏雨[1] 李锦博 余颖烨[1] XIA Yu;LI Jinbo;YU Yingye(School of Civil Engineering and Architecture,Guangxi University of Science and Technology,Liuzhou 545006,China)

机构地区：[1]广西科技大学土木建筑工程学院,广西柳州545006

出　　处：《广西科技大学学报》2021年第3期21-26,共6页Journal of Guangxi University of Science and Technology

基　　金：国家自然科学基金项目(51569005);广西自然科学基金项目(2020GXNSFAA297203,2015GXNSFAA139279,2018GXNSFBA281186,2019GXNSFBA245071,桂科AD19110068,桂科AD19245125)资助.

摘　　要：为获得带支撑的粘弹性阻尼器单自由度弱非线性耗能结构随机地震响应的求解方法,利用积分型本构关系建立单自由度弱非线性耗能结构的运动方程,通过随机等效线性化法和等效阻尼原理将方程线性化,基于线性随机振动理论分析方法,推导出求解结构位移和速度响应值的解析方法和数值解.通过典型算例,验证了带支撑的开尔文型粘弹性阻尼器对于杜芬体系具有良好的减震效果,表明了所提方法的有效性;同时分析了阻尼器支撑刚度对此类弱非线性结构减震效果的影响,研究表明:支撑刚度越大,减震效果越好.To obtain the solution for the random seismic response of weak nonlinear SDOF energy dissipation structures for braced viscoelastic dampers,a related equation of motionis established based on the integral constitutive relationship.The equationis linearized by the stochastic equivalent linearization method and the equivalent damping formula,based on the stochastic vibration theory,the numerical solutions of the displacement and velocity response are derived.Through a typical example,it is verified that the Kelvin viscoelastic damper with brace has a good shock absorption effect on the Duffing system,which shows the effectiveness of the proposed method.At the same time,the impact of the brace stiffnesson the shock absorption effect of this type of nonlinear structure is analyzea.The greater the brace stiffness is,the better the shock absorption effect is.

关 键 词：随机振动 弱非线性体系 粘弹性阻尼器 随机等效线性化法 

分 类 号：TU318[建筑科学—结构工程]