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基于特征提取和谱匹配优化的区域地震动时程构建方法

胡进军 王中伟 张辉 靳超越 胡磊

胡进军, 王中伟, 张辉, 靳超越, 胡磊. 基于特征提取和谱匹配优化的区域地震动时程构建方法[J]. 工程力学, 2022, 39(12): 202-211. doi: 10.6052/j.issn.1000-4750.2021.07.0577
引用本文: 胡进军, 王中伟, 张辉, 靳超越, 胡磊. 基于特征提取和谱匹配优化的区域地震动时程构建方法[J]. 工程力学, 2022, 39(12): 202-211. doi: 10.6052/j.issn.1000-4750.2021.07.0577
HU Jin-jun, WANG Zhong-wei, ZHANG Hui, JIN Chao-yue, HU Lei. A SYNTHESIS METHOD FOR REGIONAL-SPECIFIC GROUND MOTIONS TIME HISTORY BASED ON FEATURE EXTRACTION AND SPECTRAL MATCHING OPTIMIZATION[J]. Engineering Mechanics, 2022, 39(12): 202-211. doi: 10.6052/j.issn.1000-4750.2021.07.0577
Citation: HU Jin-jun, WANG Zhong-wei, ZHANG Hui, JIN Chao-yue, HU Lei. A SYNTHESIS METHOD FOR REGIONAL-SPECIFIC GROUND MOTIONS TIME HISTORY BASED ON FEATURE EXTRACTION AND SPECTRAL MATCHING OPTIMIZATION[J]. Engineering Mechanics, 2022, 39(12): 202-211. doi: 10.6052/j.issn.1000-4750.2021.07.0577

基于特征提取和谱匹配优化的区域地震动时程构建方法

doi: 10.6052/j.issn.1000-4750.2021.07.0577
基金项目: 国家自然科学基金项目(U1939210,52078470);国家重点研发计划项目(2018YFC1504401)
详细信息
    作者简介:

    王中伟(1996−),男,湖北人,硕士生,主要从事地震工程研究(E-mail: 2361506345@qq.com)

    张 辉(1994−),男,江苏人,硕士生,主要从事地震工程研究(E-mail: 1205242978@qq.com)

    靳超越(1996−),男,陕西人,硕士生,主要从事地震工程研究(E-mail: 1697092641@qq.com)

    胡 磊(1996−),男,重庆人,硕士生,主要从事地震工程研究(E-mail: 1135275397@qq.com)

    通讯作者:

    胡进军(1978−),男,河北人,研究员,博士,主要从事地震动模型和强度指标研究(E-mail: hujinjun@iem.ac.cn)

  • 中图分类号: P315.3

A SYNTHESIS METHOD FOR REGIONAL-SPECIFIC GROUND MOTIONS TIME HISTORY BASED ON FEATURE EXTRACTION AND SPECTRAL MATCHING OPTIMIZATION

  • 摘要: 地震的区域构造背景和传播路径有较大差异特征,因而实际观测的地震动具有显著的区域性差异。在结构动力时程分析时,虽然人工合成方法能够提供匹配设计谱的输入地震动,但是其并不能体现出地震动的区域特征。为了模拟考虑目标区域特征且完美匹配目标谱的地震动,该文提出了一种基于智能算法的地震动合成新方法。该方法应用主成分分析算法获取目标区域地震动的区域特征,由最大方差理论提取目标区域的种子地震动,再用基于粒子群算法优化的时域反应谱匹配方法调整种子地震动的反应谱,最终构造出包含区域特征和谱匹配的地震动时程。以四川地区为例验证了该方法的合理性和有效性,合成的地震动在时域和频域上均与该区域实际地震动特征一致。该文提出的方法的优点在于合成的地震动具有显著的区域特征,且与目标谱有更好的匹配效果和更高的匹配效率,可为结构动力反应分析提供考虑区域性差异、具有低不确定性的地震动输入。
  • 图  1  粒子群算法求最优解γ的流程图

    Figure  1.  Flow chart of particle swarm optimization for solving optimal solution γ

    图  2  本文的地震动合成流程图

    Figure  2.  The flow chart of ground motion synthesis

    图  3  种子地震动的加速度时程

    Figure  3.  The acceleration time history of the seed ground motion

    图  4  种子地震动反应谱与目标反应谱

    Figure  4.  Seed ground motion response spectrum and target response spectrum

    图  5  合成地震动的加速度时程

    Figure  5.  The acceleration history of the synthetic ground motion

    6  匹配误差随迭代次数增加的变化曲线

    6.  The variation curve of matching error with the increase of iteration number

    图  7  合成地震动的匹配误差

    Figure  7.  Matching error of the synthetic ground motion

    图  8  初始地震动和合成地震动的时程

    Figure  8.  Time history of initial and synthetic ground motion

    图  9  初始地震动和合成地震动的归一化Arias强度

    Figure  9.  Normalized Arias intensities for initial and synthetic ground motion

    图  10  初始地震动和合成地震动的傅里叶幅值谱

    Figure  10.  Fourier amplitude spectra of initial and synthetic ground motion

    图  11  初始地震动和合成地震动的时频图

    Figure  11.  Time-frequency diagrams of initial and synthetic ground motion

    表  1  误差函数的定义

    Table  1.   Definition of error function

    误差函数 反应谱差值(ERR1) 反应谱差值与目标谱之比(ERR2)
    总体平均值(ERRmean) $ERR_{ {\rm{mean} } }^1 = \dfrac{1}{N}\displaystyle\sum\limits_{i = 1}^N {|S{a_{\rm c}}({T_i}) - S{a_{\rm t}}({T_i})} |$ $ERR_{ {\rm{mean} } }^2 = \dfrac{1}{N}\displaystyle\sum\limits_{i = 1}^N \left|\dfrac{ {S{a_{\rm c}}({T_i}) - S{a_{\rm t}}({T_i})} }{ {S{a_{\rm t}}({T_i})} } \right|$
    个体最大值(ERRmax) $ERR_{\max }^1 = \max \{ |S{a_{\rm c}}({T_i}) - S{a_{\rm t}}({T_i})|\}$ $ERR_{\max }^2 = \max \left\{ \left|\dfrac{ {S{a_{\rm c}}({T_i}) - S{a_{\rm t}}({T_i})} }{ {S{a_{\rm t}}({T_i})} }\right|\right\}$
    下载: 导出CSV

    表  2  区域地震动信息

    Table  2.   Regional ground motion information

    地震名称 地震时间 北纬/(°) 东经/(°) 震源深度/km 震级/Ms 数目/条
    四川雅安余震 2013.4.20 30.389 103.010 12 4.5 1
    四川雅安余震 2013.4.20 30.180 102.930 19 4.5 2
    四川雅安余震 2013.4.20 30.280 102.930 15 4.8 1
    四川雅安余震 2013.4.20 30.250 102.830 16 4.7 2
    四川雅安余震 2013.4.20 30.170 102.989 19 4.8 2
    四川雅安余震 2013.4.20 30.190 102.949 17 4.6 1
    四川雅安余震 2013.4.20 30.280 102.989 15 4.9 3
    四川雅安余震 2013.4.20 30.129 102.839 17 4.7 3
    四川雅安余震 2013.4.20 30.250 103.010 17 4.7 5
    四川雅安余震 2013.4.20 30.239 102.940 15 5.4 4
    四川雅安余震 2013.4.21 30.360 103.050 27 5.4 2
    四川雅安余震 2013.4.21 30.260 103.000 17 4.9 5
    四川雅安余震 2013.4.21 30.340 103.000 17 5.4 3
    下载: 导出CSV
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出版历程
  • 收稿日期:  2021-07-28
  • 录用日期:  2022-02-16
  • 修回日期:  2022-01-14
  • 网络出版日期:  2022-02-16
  • 刊出日期:  2022-12-01

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