基础隔震耗能结构基于Kanai-Tajimi谱的随机响应简明解法研究  

Concise analytic solution to seismic response of base isolated energy dissipating structure under Kanai-Tajimi spectrum excitation

作　　者：邹万杰[1] 覃永安 李创第[1] 经承贵 韩红 ZOU Wanjie;QIN Yong′an;LI Chuangdi;JING Chenggui;HAN Hong(College 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：《世界地震工程》2023年第3期118-128,共11页World Earthquake Engineering

基　　金：国家自然科学基金项目(51468005);广西自然科学基金项目(2019GXNSFBA245071);广西科技基地和人才专项(AD19245131)。

摘　　要：针对在Kanai-Tajimi谱激励下设置广义Maxwell阻尼器的多自由度基础隔震耗能结构进行响应分析比较复杂的问题,提出一种求解响应的简明解法。首先,联立广义Maxwell阻尼器本构方程与原结构运动方程,重构结构运动方程;其次,利用复模态法将运动方程解耦获得了系列响应的特征值以及复模态参与系数,进而获得结构系列响应的统一表达式;最后,计算激励功率谱与响应功率谱的二次正交式,获得了结构响应0~2阶谱矩及方差的简明解析解。算例计算了一多自由度结构响应的方差及0~2阶谱矩,将计算结果与虚拟激励法进行比较,证明本文所提方法的正确性,同时具有更高的计算效率。To address the complexity of the seismic responses analysis of multiple-storey base isolated energy dissipation structure with generalized Maxwell dampers under the Kanai-Tajimi spectrum excitation,a concise analytic solution was proposed.Firstly,the structural equation of motion was reconstructed by associating the constitutive equations of the generalized Maxwell dampers and the original structural equation.Secondly,the complex mode method is used to decouple the motion equations to obtain the eigenvalues of a series of responses and the complex mode participation coefficients,and then the unified expression of the structural responses are obtained.Finally,the quadratic orthogonal expressions of the excitation power spectrum and the response power spectrum are calculated,and the concise analytic solution of the 0~2 order spectral moment and variance of the structural response is obtained.The variance and 0~2 order spectral moments of a multi degree of freedom structure response are calculated by an example.The comparison between the calculated results and the pseudo excitation method proves that the method proposed in this paper is correct and has higher computational efficiency.

关 键 词：基础隔震 Kanai-Tajimi谱 广义Maxwell阻尼器 响应功率谱二次正交法 

分 类 号：TU311.3[建筑科学—结构工程]