带支撑六参阻尼器隔震结构基于李鸿晶谱的简明解法研究  

A concise solution method for the seismic isolation structure of the supported six-parameter damper based on Li Hongjing spectrum

作　　者：韩红 邹万杰[1] 李创第[1] 葛新广[1] 经承贵 HAN Hong;ZOU Wan-jie;LI Chuang-di;GE Xin-guang;JING Cheng-gui(School of Civil Engineering,Guangxi University of Science and Technology,Liuzhou 545006,China)

机构地区：[1]广西科技大学土木工程学院,广西柳州545006

出　　处：《振动工程学报》2024年第8期1397-1408,共12页Journal of Vibration Engineering

基　　金：国家自然科学基金资助项目(51468005);广西研究生教育创新计划项目(YCSW2022450);广西高校中青年教师科研基础能力提升项目(2019KY0387);广西自然科学基金资助项目(2019GXNSFBA245071);广西科技基地和人才专项(AD19245131)。

摘　　要：考虑带支撑六参数黏弹性阻尼器耗能隔震结构在李鸿晶谱激励下求解地震响应较为复杂,提出了一种能够获得随机地震响应的简明解法。采用带支撑六参数黏弹性阻尼器分析模型,以微分本构方程实现黏弹性阻尼器隔震结构的数学建模,结合复模态法与虚拟激励法,获得了隔减震体系系列响应(位移、速度以及阻尼器受力)频域解的统一表达式;以李鸿晶谱作为激励功率谱,将激励功率谱与结构频率响应特征值函数进行简化,获得了该随机激励下系统响应功率谱、响应谱矩及响应方差的简明解;给出算例,与此类问题传统的常用分析方法进行对比,验证所提方法在该系统下分析动力响应的合理性和高效性,并讨论了不同支撑刚度对阻尼器减震效果的影响。Considering the complexity of solving the seismic response of the energy-dissipated isolated structure with six-parameter viscoelastic damper under the excitation of Li Hongjing spectrum,a concise solution that can obtain random seismic response is proposed.The analysis model of six-parameter viscoelastic damper with support is adopted,and the mathematical modeling of energy dissipation and isolation structure with viscoelastic damper is realized by differential constitutive equation.Combined with complex mode method and the pseudo excitation method(PEM),the unified expression of frequency domain solution for system series response(displacement,velocity and damper force)of vibration isolation system is obtained.Taking Li Hongjing spectrum as the excitation power spectrum,the excitation power spectrum and the eigenvalue function of structural frequency response are simplified,and the concise analytical solutions of the system response power spectrum,response spectral moment and response variance under the random excitation are obtained.An example is given to verify the accuracy and efficiency of the proposed method in analyzing the dynamic response of the system compared with the traditional response analysis method such as the PEM,and the influence of different support stiffness on the vibration reduction effect of the damper is discussed.

关 键 词：隔减震体系 带支撑六参数黏弹性阻尼器 李鸿晶谱 响应谱矩 响应方差 

分 类 号：TU352.1[建筑科学—结构工程] TU311.3