计算力学学报2023，Vol.40Issue(6)：928-935,8.DOI:10.7511/jslx20220707001
混联Ⅰ型惯容系统基于李鸿晶谱的地震响应分析
Seismic response analysis of series-parallel-Ⅰ inerter system subjected to Li Hongjing spectrum excitation
摘要
Abstract
To address the problem that the response analysis of energy-dissipating structures with a series-parallel-Ⅰ inerter system(SPIS-Ⅰ)under the random excitation based on Li Hongjing spectrum,a concise closed solution of the response spectral moment is proposed,and the influence of the main parameters of the SPIS-Ⅰ on the damping performance is studied.Firstly,the differential relation between the SPIS-Ⅰ and the structure is established,and the complex modal method(CMM)and the Pseudo-excitation method(PEM)are applied to obtain a unified solution for the series response of the structure.Secondly,the power spectral density function(PSDF)of the structural series response is accurately transformed into a quadratic decomposition expressed as a sum of complex eigenvalues and the square of the natural frequency of the structure,and then a concise closed solution of the 0～2 order spectral moments of the response is obtained.Finally,the correctness and computational efficiency of the proposed method are verified by numerical simulations.The study of the parameters of the SPIS-Ⅰ shows that the larger the inertial capacity coefficient and damping coefficient the better the damping effect of the structure,but the vibration reduction effect of the stiffness coefficient on the structure depends on the ratio of the nominal circular frequency of SPIS-Ⅰ to the natural frequency of the structure,and the damping effect is best when this ratio is 0.9.关键词
混联Ⅰ型惯容系统/二次分解/封闭解/0阶～2阶谱矩/减震效果Key words
series-parallel-Ⅰ inerter system(SPIS-Ⅰ)/quadratic decomposition method(QDM)/closed-form solution/0～2 order spectral moment/damping effect分类
建筑与水利引用本文复制引用
李创第,王瑞勃,江丽富,葛新广..混联Ⅰ型惯容系统基于李鸿晶谱的地震响应分析[J].计算力学学报,2023,40(6):928-935,8.基金项目
国家自然科学基金(51468005) （51468005）
广西研究生教育创新计划项目(YCSW2022450) （YCSW2022450）
广西重点研发计划(桂科AB19259011)资助项目. （桂科AB19259011）
