黏弹性耗能结构系统非均匀和完全非平稳响应的精细积分格式  

A precise integration scheme for the non-uniform and completely non-stationary responses of viscoelastic energy dissipation structures

作　　者：李创第[1] 王博文 昌明静 LI Chuangdi;WANG Bowen;CHANG Mingjing(College 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,广西柳州545006

出　　处：《振动与冲击》2021年第16期100-110,共11页Journal of Vibration and Shock

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)。

摘　　要：为建立黏弹性耗能结构及其保护系统的抗震分析与设计方法,结合虚拟激励法对设置支撑的Maxwell阻尼耗能系统均匀与非均匀非平稳、完全非平稳随机地震响应的数值分析方法进行了系统研究。构造设置支撑的Maxwell阻尼耗能系统,通过扩阶方法建立结构动力方程;基于高效的虚拟激励法,提出了均匀与非均匀非平稳、完全非平稳响应的简谐-指数-多项式精细积分一般通用精确格式,得到了8种经典均匀与非均匀调制非平稳、完全非平稳地震响应的具体解析解,使计算结果不受步长影响;可得出耗能结构系统的均匀与非均匀非平稳、完全非平稳地震响应方差。通过算例分析表明该方法具有应用范围广、效率高、工程应用强的特点,为黏弹性耗能系统均匀与非均匀非平稳、完全非平稳地震响应分析提供了方法。In order to establish a seismic analysis and design method of a viscoelastic energy dissipation structure and its protection system,a numerical analysis method of uniform and non-uniform,non-stationary and completely non-stationary random seismic response of a Maxwell damping energy dissipation system with braces was systematically studied in this paper.Firstly,the Maxwell damping energy dissipation system with braces was constructed,and the dynamic equation of the structure was established by the method of order expansion.Then,based on the efficient virtual excitation method,a general precise harmonic exponential polynomial precise integration scheme for uniform and non-uniform non-stationary and completely non-stationary responses was proposed,and eight classical uniform and non-uniform modulated non-stationary and completely non-stationary seismic responses were obtained.Finally,the variance of the uniform and non-uniform non-stationary,fully non-stationary seismic response of the energy dissipation structure system can be obtained.The results show that the method has the characteristics of wide application,high efficiency and strong engineering application.It provides a method for the analysis of seismic response of viscoelastic energy dissipation system.

关 键 词：黏弹性阻尼器 非均匀非平稳 完全非平稳 虚拟激励法 精细积分格式 

分 类 号：TU311.3[建筑科学—结构工程]