设置支撑的广义Maxwell阻尼耗能结构系统均匀与非均匀随机地震响应分析  

Uniform and non-uniform random seismic response of a generalized Maxwell damping energy dissipation structure system with braces

作　　者：李创第[1] 王博文 昌明静 LI Chuang-di;WANG Bo-wen;CHANG Ming-jing(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：《桂林理工大学学报》2020年第3期523-529,共7页Journal of Guilin University of Technology

基　　金：国家自然科学基金项目(51468005)。

摘　　要：地震动最精确的模型为强度非平稳和频率非平稳,为此对设置支撑的广义Maxwell阻尼耗能结构均匀与非均匀非平稳地震响应进行了研究。首先,通过扩阶方法建立了设置支撑的广义Maxwell阻尼器的结构动力方程,构造设置支撑的广义Maxwell阻尼减震系统;然后利用虚拟激励法分析结构的非平稳随机地震激励,最后利用精细积分法的改进格式解出广义Maxwell结构的非均匀非平稳地震响应方差。通过算例分析了均匀非平稳地震激励下广义Maxwell结构的地震响应方差对比精确解,验证了本文方法的准确性,并进一步将该方法研究应用于非均匀非平稳地震激励下,耗能结构系统的地震响应分析。分析表明该方法对于此类问题的计算具有应用范围广、效率高、工程应用强的特点,为粘弹性阻尼耗能减震结构在非均匀非平稳地震激励下的响应分析提供了方法。Most accurate model of ground motion is generally a non-stationary strength and frequency.The numerical analysis method of uniform and non-uniform non-stationary seismic response of energy dissipation structure with generalized Maxwell damping are studiel.First,the structural dynamic equation of the general Maxwell damper with support is established by the method of order expansion,and the system of the general Maxwell damper with support is constructed.The non-stationary random seismic excitation of the structure is analyzed by virtual excitation method.Finally the variance of the non-uniform and non-stationary seismic response of the general Maxwell structure is solved by the improved scheme of the precise integration method.The accuracy of this method is verified by analyzing the exact solution of the variance comparison of the seismic response of the generalized Maxwell structure under the uniform and non-stationary seismic excitation.The method is further applied to the analysis of the seismic response of the energy dissipation structure system under the non-uniform and non-stationary seismic excitation.The analysis shows the method following the characteristics of wide application range,high efficiency and strong engineering application for the calculation of this kind of problems.It provides a good method for the response analysis of viscoelastic damping energy dissipation structures under non-uniform and non-stationary seismic excitation.

关 键 词：广义Maxwell阻尼器 耗能减震系统 非均匀非平稳地震响应 虚拟激励法 精细积分格式 

分 类 号：TU352.1[建筑科学—结构工程] TU311.3