摘要
对悬吊摆隔震系统组成的悬吊结构体系进行研究,建立了该体系的两自由度分析模型。根据拉格朗日方程建立了系统的运动方程,并给出了地震作用下上下部子结构位移响应均方值理论表达式。通过引入性能指数,综合考虑上下部子结构位移响应,定义了悬吊结构体系性能目标函数。以性能目标函数最小为优化目标,推导了悬吊结构体系最优设计参数理论解,并通过不同性能指数下体系参数分析验证了理论解的正确性。最后,以某两层剪切型框架结构作为工程算例,对结构体系的减震性能进行数值分析。结果表明:最优参数均随性能指数的增大而增大,最优阻尼比与质量比呈正相关关系,最优频率比与质量比呈负相关关系;增大性能指数,上部子结构位移响应峰值减震率增大,而下部子结构位移响应峰值减震率减小;只要性能指数取值合理,悬吊隔震体系能同时有效控制上部子结构与下部子结构地震位移响应;性能指数为1时,结构体系上下部子结构位移响应峰值减震率分别可达67.45%和25.16%以上。
The suspension structural system composed of suspension pendulum isolation system was investigated,and the two-degree-of-freedom mechanical model of the suspension structural system was established.The motion equations of the system were established according to the Lagrangian equations,and the theoretical expressions of the mean square values of displacement responses of both the superstructure and substructure under earthquake excitations were derived.By introducing the performance index and considering the displacement response of both superstructure and substructure,the performance objective function of the suspension structural system was then defined.Taking the minimum performance objective function as the optimization objective,the theoretical solution of the optimal design parameters of suspension structural system was derived,and the correctness of the theoretical solution was verified by analyzing the system parameters under different performance indexes.Finally,a two-story shear frame structure was taken as an example to analyze the seismic performance of the structure system.The results show that the optimal damping ratio is positively correlated with mass ratio,and the optimal frequency ratio is negatively correlated with mass ratio.With the increase of the performance index,the peak displacement response damping ratio of the superstructure increases,while that of the lower substructure decreases.But as long as the performance index is reasonable,the suspension structural system can effectively control the seismic displacements of both superstructure and substructure.In the case of the performance index equal to 1,the peak displacement of superstructure and substructure are reduced above 67.45%and 25.16%,respectively.
作者
谭平
兰李
贺辉
向越
郑晓君
TAN Ping;LAN Li;HE Hui;XIANG Yue;ZHENG Xiao-jun(Collaborative Innovation Center for Earthquake Mitigation and Disaster Prevention of Civil Engineering,Guangzhou University,Guangzhou 510405,Guangdong,China;Guangdong Provincial Key Laboratory of Earthquake Engineering and Advanced Technology,Guangzhou University,Guangzhou 510405,Guangdong,China;Key Laboratory of Earthquake Resistance Earthquake Mitigation and Structural Safety Ministry of Education,Guangzhou University,Guangzhou 510405,Guangdong,China)
出处
《建筑科学与工程学报》
CAS
北大核心
2021年第1期51-60,共10页
Journal of Architecture and Civil Engineering
基金
国家自然科学基金项目(51978185)
教育部创新团队研究发展计划项目(IRT13057)
广东省教育厅创新团队项目(2016KCXTD016)
广州大学研究生创新能力培养资助计划项目(2018GDJC-D06)。
关键词
减震性能
最优设计参数
性能指数
悬吊结构体系
理论解
damping performance
optimal design parameter
performance index
suspension structural system
theoretical solution
