一般黏弹性耗能单自由度系统非均匀和完全非平稳地震响应分析  

Nonstationary Seismic Response Analysis of Energy Dissipation System with General Viscoelastic Damping Supported by Braces

作　　者：贾松林[1] 王博文 胡强[1] 昌明静 JIA Songlin;WANG Bowen;HU Qiang;CHANG Mingjing(Department of Civil Engineering,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,柳州545006

出　　处：《结构工程师》2021年第6期99-113,共15页Structural Engineers

基　　金：国家自然科学基金(51468005);广西科技大学创新团队支持计划(校发[2016]31号)资助。

摘　　要：为建立一般线性黏弹性耗能结构及其保护系统的抗震分析与设计方法,对设置支撑的一般黏弹性阻尼耗能单自由度结构瞬态响应解析解和非平稳地震响应分析进行了系统的研究。首先,构造最一般线性黏弹性阻尼耗能单自由度结构模型;然后,采用传递函数法,获得结构及其保护系统在任意激励和非零初始条件下时域瞬态响应的非扩阶模态叠加解析解;最后,应用此解析解获得了一般线性黏弹性耗能结构及其保护系统在非均匀与完全非平稳地震激励下的具体响应解析解。通过两种典型耗能结构以及复模态法和频响函数法,验证了该方法的正确性、简易性和普适性;所获得的时域瞬态响应解析解和非平稳随机地震响应解析解,为建立单自由度设置支撑的一般黏弹性阻尼耗能系统非均匀与完全非平稳地震响应分析提供方法。In order to establish the seismic analysis and design method of general linear viscoelastic energy dissipation structure and its protection system,the analytical solutions of transient response and nonstationary seismic response analysis of general viscoelastic energy dissipation single degree of freedom structure with braces are systematically studied.Firstly,the most general linear viscoelastic damping energy dissipation single degree of freedom structure model is constructed;then,by using the transfer function method,the non extended order mode superposition analytical solution of the transient response of the structure and its protection system under arbitrary excitation and non-zero initial conditions is obtained;finally,the analytical solution of the nonuniform and completely nonstationary seismic response of the general linear viscoelastic energy dissipation structure and its protection system is obtained by using the analytical solution of specific response under steady earthquake excitation.The correctness,simplicity and universality of the method are verified by two typical energy dissipation structures,the complex mode method and the frequency response function method.The analytical solution of transient response in time domain and the analytical solution of nonstationary random seismic response are obtained,which provide a method for establishing the non-uniform and completely nonstationary seismic response analysis of general viscoelastic damping energy dissipation system with single degree of freedom.

关 键 词：黏弹性阻尼器 支撑 瞬态响应 非平稳响应 解析解 

分 类 号：TU352.1[建筑科学—结构工程]