基于位移和加速度响应双控与耗能增效的惯容减震结构参数设计方法  

Design method of structure using inerter system based on dual control of displacement and acceleration and damping enhancement

作　　者：周方圆[1] 吕云辉 张瑞甫[2,3] 葛汉彬 朱宏平[1] ZHOU Fangyuan;LüYunhui;ZHANG Ruifu;GE Hanbin;ZHU Hongping(School of Civil and Hydraulic Engineering,Huazhong University of Science and Technology,Wuhan 430074,China;State Key Laboratory for Disaster Reduction in Civil Engineering,Tongji University,Shanghai 200092,China;Department of Disaster Mitigation for Structures,Tongji University,Shanghai 200092,China;Faculty of Science and Technology,Meijo University,Nagoya 468-8502,Japan)

机构地区：[1]华中科技大学土木与水利工程学院,湖北武汉430074 [2]同济大学土木工程防灾国家重点实验室,上海200092 [3]同济大学结构防灾减灾工程系,上海200092 [4]名城大学理工学部,爱知名古屋468-8502

出　　处：《建筑结构学报》2024年第1期85-96,共12页Journal of Building Structures

基　　金：国家自然科学基金项目(52178288,51878314)。

摘　　要：以设置典型惯容系统的单自由度结构为研究对象,通过比较无控结构和设置惯容系统的结构在白噪声激励下的响应均方值,提出了关于惯容减震结构的位移和加速度性能控制目标。分析了加速度控制目标、位移控制目标和耗能增效目标之间的关系,发现当位移和加速度控制目标确定时,惯容系统的耗能增效比存在唯一的极大值。据此提出了一种基于位移和加速度双控与耗能增效的惯容系统参数设计方法,该方法可以在达到预期的位移和加速度控制效果的同时,最大程度发挥惯容系统的耗能增效特性。通过算例对该双控减震设计方法进行了检验,验证了所提方法的可行性。研究结果表明:采用该方法设计得到的惯容系统参数,可使结构在白噪声激励下的层间位移响应和楼面绝对加速度响应均得到统计意义上的定量控制;而在实际地震波的激励下,通过该方法设计得到的惯容系统参数也达到了预期的结构设计控制效果。This paper takes the single-degree-of-freedom structure with inerter system as the research object.By comparing the mean square value of the response of the uncontrolled structure and the structure with inerter system under the excitation of white noise,the performance control objectives of displacement and acceleration for inerter system was proposed.The relations among the objectives of displacement control,acceleration control and damping enhancement were analyzed.Then,it is found that when the displacement and acceleration control objectives are determined,the ratio of damping enhancement of inerter system has a unique maximum value.Therefore,a parameter design method of an inerter system based on dual control of displacement and acceleration and damping enhancement was proposed,which can achieve the desired control objectives of displacement and acceleration and maximize the damping enhancement effect of the inerter system.An example is given to test the design method,which verifies the feasibility of the method.The research results show that using the inerter system parameters designed by this method,the displacement response between layers and the absolute acceleration response of the floor under the excitation of white noise are quantitatively controlled in a statistical sense.Under the excitation of actual seismic waves,the inerter system parameters designed by this method also achieves the expected control effect.

关 键 词：惯容系统 振动控制 位移 绝对加速度 设计方法 

分 类 号：TU352.1[建筑科学—结构工程] TU318