弹性能量半径演化谱及其在多自由度体系地震反应计算中的应用  

Elastic energy radius evolutionary spectra and application to calculate MDOF structure seismic response

作　　者：彭灏 温卫平 张培[1] 孔璟常 PENG Hao;WEN Weiping;ZHANG Pei;KONG Jingchang(Shijiazhuang University,Shijiazhuang 050035,China;College of Civil Engineering,Harbin Institute of Technology,Harbin 150001,China;College of Civil Engineering,Yantai University,Yantai 264005,China)

机构地区：[1]石家庄学院,河北石家庄050035 [2]哈尔滨工业大学土木工程学院,黑龙江哈尔滨150001 [3]烟台大学土木工程学院,山东烟台264005

出　　处：《地震工程与工程振动》2022年第1期260-266,共7页Earthquake Engineering and Engineering Dynamics

基　　金：国家自然科学基金项目(51808478);山东省自然科学基金项目(ZR2019QEE033);石家庄市科学技术研究与发展计划项目(201230781);河北省省部共建交通工程结构力学行为与系统安全国家重点实验室2021年度开放课题(KF2021-06)。

摘　　要：目前用于结构抗震设计的反应谱仅能反映峰值反应,无法体现反应值随时间的变化。文中提出一种弹性能量半径演化谱,可反映线性单自由度体系弹性能量(即动能与弹性势能之和)随地震持时的变化,且其峰值近似等于结构峰值位移。文中给出了利用地震动演化功率谱得到该演化谱的方法并进一步发展了一种计算线性多自由度体系地震位移反应的新方法。通过两座框架结构的地震反应计算,将新方法与传统振型组合法及时程分析法的计算结果进行对比,发现对于振型稀疏结构,新方法计算结果与SRSS法接近;而对于振型密集结构,新方法计算结果较CQC法更精确,且避免了CQC法相关系数的复杂计算。At present,the response spectra used in structural seismic design can only reflect the peak response,but can not reflect the change of response along with time.In this paper,elastic energy radius evolutionary spectra(EERES)is raised to descirbe change of structure elastic energy(in other words,kinetic energy and elastic potential energy)along with seismic duration.EERES,whose peak value is approximately equal to peak seismic displacement,can be obtained by evolution power spectrum of ground motion and used to calculate seismic response of MDOF system.Then two frame structures'seismic displacement response is calculated by EERES,mode-superposition or dynamic time history analysis method.It shows that result by EERES is more accurate than which by CQC if structure modes are close.While the results by EERES and SRSS are simliar if structure's modes are loose.

关 键 词：弹性能量半径演化谱 多自由度体系 反应谱法 时程分析 地震位移 

分 类 号：P315.9[天文地球—地震学]