摘要
采用与传统频域法相反的思路,提出一种内蕴基线漂移校正且匹配目标反应谱的人工地震波直接拟合新方法.该方法首先构造非平稳位移时程表达式,进而求导得到速度、加速度时程表达式,由各表达式满足的归零条件确定相关的包络函数;其次,结合单自由度系统谐波响应的解析式,将匹配目标反应谱的拟合问题转化为关于待求幅值谱的非线性方程组;最后,结合高效的非线性方程迭代算法给出自然满足归零条件的加速度、速度及位移时程.分别以Rg1.60标准谱、某核岛楼层谱和«建筑抗震设计规范»中的设计谱为拟合算例验证所提方法的效率和精度.所提方法可成为人工地震波快速拟合的新途径.
In this work,an artificial seismic wave fitting method was proposed based on embedded baseline drift correction,which is different from the traditional frequency domain method.First,a nonstationary displacement expression was generated to derive the time-history expressions for velocity and acceleration.Subsequently,the envelope function can be obtained from the zeroing condition satisfied by each expression.Then,combined with the analytical formula for the harmonic response of a system with a single degree of freedom,the target response spectrum fitting problem can be transformed into a set of nonlinear equations to establish the amplitude spectrum.Finally,the efficient iteration algorithm for nonlinear equations was employed to acquire the acceleration,velocity,and displacement time histories at the same time.The standard spectrum of Rg1.60,the floor spectrum of a nuclear island,and the design spectrum in the Code for Seismic Design of Buildings were utilized to confirm the efficiency and accuracy of the proposed method.Therefore,the novel method proposed in this work can be employed for the fast fitting of artificial seismic waves.
作者
张树翠
夏宏升
张欣刚
姚文莉
齐朝晖
刘大强
ZHANG Shucui;XIA Hongsheng;ZHANG Xin'gang;YAO Wenli;QI Zhaohui;LIU Daqiang(School of Science,Qingdao University of Technology,Qingdao 266525,Shandong,China;Shanghai Zoomlion Pile Machinery Co.,Ltd.,Shanghai 201613,China;State Key Laboratory of Structural Analysis for Industrial Equipment,Dalian 116024,Liaoning,China;Dalian Huarui Heavy Industry Group Co.,Ltd.,Dalian 116022,Liaoning,China)
出处
《地震工程学报》
CSCD
北大核心
2023年第5期1171-1178,共8页
China Earthquake Engineering Journal
基金
国家自然科学基金(12202224,12272197)
山东省自然科学基金资助项目(ZR2022MA066,tsqn202211180)。
关键词
设计地震动时程
反应谱
高效匹配
抗震
design ground motion
response spectra
efficient matching
earthquake mitigation
