地震动加速度、速度和位移时程的构成  

COMPOSITIONS OF TIME HISTORIES OF ACCELERATION AND VELOCITY AND DISPLACEMENT OF GROUND MOTION

作　　者：李文博 刘铁林[1] 王宇[1] LI Wen-bo;LIU Tie-lin;WANG Yu(School of Civil Engineering,Shenyang Jianzhu University,Shenyang,Liaoning 110168,China)

机构地区：[1]沈阳建筑大学土木工程学院,辽宁沈阳110168

出　　处：《工程力学》2020年第S01期164-167,共4页Engineering Mechanics

基　　金：国家自然科学基金项目(11672190)。

摘　　要：该文研究地震动加速度时程、速度时程和位移时程的构成。将地震动加速度时程表示成正弦级数并对其积分,给出速度通项构成的地震动速度时程的计算公式。积分上述地震动速度时程,给出位移通项构成的地震动位移时程的计算公式。在PEER数据库中选取Landers、Taft和El-centro波的加速度时程,利用该文给出地震动加速度、速度和位移时程的计算公式分别得到三种地震动的加速度、速度和位移时程曲线,并通过与数据库提供的三种地震动的加速度、速度和位移时程曲线进行对比,验证了地震动加速度、速度和位移时程计算公式的正确性。得到以下结论:给出了加速度通项、速度通项和位移通项,三种通项分别求和可构成地震动加速度时程、速度时程和位移时程。The compositions of time histories of acceleration,velocity and displacement of ground motion are studied.The acceleration time history of ground motion is represented as sine series.The formula for calculating the velocity time history composed of the general term of velocity is yielded by integrating the sine series.The formula for calculating the displacement time history composed of the general term of displacement is developed by integrating the velocity time history obtained above.The acceleration time histories of Landers,Taft and Elcentro waves in PEER database are selected.The acceleration,velocity and displacement time histories of these three seismic waves are calculated by using the formulas given in this paper.The correctness of the formulas is verified by comparing the calculated time histories respectively with the corresponding acceleration,velocity and displacement time history provided by the database.The general term of acceleration,general term of velocity and general term of displacement are obtained.The acceleration,velocity and displacement time histories of ground motion are composed of the summation of general terms of acceleration,velocity and displacement respectively.

关 键 词：地震工程 地震动 正弦级数 通项 构成 

分 类 号：P315[天文地球—地震学]