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考慮沉積河谷非線性放大效應的空間相關多點地震動模擬

何穎 丁曉凡 劉中憲 楊德健 王岱

何穎, 丁曉凡, 劉中憲, 楊德健, 王岱. 考慮沉積河谷非線性放大效應的空間相關多點地震動模擬[J]. 工程力學, 2023, 40(10): 99-111. doi: 10.6052/j.issn.1000-4750.2022.01.0068
引用本文: 何穎, 丁曉凡, 劉中憲, 楊德健, 王岱. 考慮沉積河谷非線性放大效應的空間相關多點地震動模擬[J]. 工程力學, 2023, 40(10): 99-111. doi: 10.6052/j.issn.1000-4750.2022.01.0068
HE Ying, DING Xiao-fan, LIU Zhong-xian, YANG De-jian, WANG Dai. SPATIAL CORRELATED MULTI-POINT GROUND MOTION SIMULATION IN SEDIMENTARY VALLEY CONSIDERING SOIL NON-LINEARITY[J]. Engineering Mechanics, 2023, 40(10): 99-111. doi: 10.6052/j.issn.1000-4750.2022.01.0068
Citation: HE Ying, DING Xiao-fan, LIU Zhong-xian, YANG De-jian, WANG Dai. SPATIAL CORRELATED MULTI-POINT GROUND MOTION SIMULATION IN SEDIMENTARY VALLEY CONSIDERING SOIL NON-LINEARITY[J]. Engineering Mechanics, 2023, 40(10): 99-111. doi: 10.6052/j.issn.1000-4750.2022.01.0068

考慮沉積河谷非線性放大效應的空間相關多點地震動模擬

doi: 10.6052/j.issn.1000-4750.2022.01.0068
基金項目: 國家自然科學基金項目(51908401,U2139208,51878434)
詳細信息
    作者簡介:

    何 穎(1983?),女,河北人,副教授,博士,主要從事地震工程與工程波動研究(E-mail: he114@126.com)

    丁曉凡(1995?),女,河南人,碩士生,主要從事結構工程研究(E-mail: 841963072@qq.com)

    楊德健(1962?),男,北京人,教授,博士,主要從事工程結構抗震與新型結構體系研究(E-mail: yangdejian@tcu.edu.cn)

    王 岱(1981?),男,山西人,講師,博士,主要從事地震工程與工程波動研究(E-mail: wgd@tcu.edu.cn)

    通訊作者:

    劉中憲(1982?),男,河南人,教授,博士,主要從事防災減災與防護工程研究(E-mail: zhongxian1212@163.com)

  • 中圖分類號: TU435;P315.9

SPATIAL CORRELATED MULTI-POINT GROUND MOTION SIMULATION IN SEDIMENTARY VALLEY CONSIDERING SOIL NON-LINEARITY

  • 摘要: 提出了一種考慮土體非線性特性的沉積河谷空間相關多點地震動模擬方法,該方法結合了合理的譜密度函數、相干函數以及考慮土體非線性和場地散射效應的位移幅值比。其中,場地非線性位移幅值比由有限元——間接邊界元耦合的等效線性化法計算,并以V形半滿河谷模型為例驗證了該方法的合理性與可行性。計算結果表明:同線性模型結果相比,考慮土體非線性后,地面運動加速度時程峰值減小,反應譜卓越周期有所延長,且變化幅度與覆蓋層厚度有關。覆蓋層越厚,變化幅度越大,非線性效果越顯著。該文研究可為河谷場地大跨度工程結構抗震設防提供重要方法和科技支撐。
  • 圖  1  沉積河谷計算模型

    Figure  1.  Sedimentary valley calculation model

    圖  2  方法流程圖

    Figure  2.  Method flowchart

    圖  3  功率譜密度函數對比圖

    Figure  3.  Comparison of power spectral density functions

    圖  4  相干函數對比圖

    Figure  4.  Comparison of coherent function

    圖  5  方法結果對比

    Figure  5.  Comparison between the results

    圖  6  位移幅值比的對比(退化驗證)

    Figure  6.  Comparison of displacement amplitude ratio (degradation verification)

    圖  7  文獻[7]和本文方法所計算的加速度時程

    Figure  7.  Acceleration time history calculated by the present method and that in Ref. [7]

    圖  8  文獻[7]和本文方法所計算的加速度反應譜

    Figure  8.  Acceleration response spectrum calculated by the present method and that in Ref. [7]

    圖  9  算例計算模型 /m

    Figure  9.  Calculation model of the example

    圖  10  場地土動力特性曲線

    Figure  10.  Soil dynamic characteristic curve of the site

    圖  11  非線性模型各點模擬地震動自功率譜

    Figure  11.  Self-power spectrum of simulated ground motion at each point of nonlinear model

    圖  12  非線性模型各點間模擬地震動互功率譜

    Figure  12.  Inter-power spectrum of simulated ground motion at each point of nonlinear model

    圖  13  兩種情況下位移幅值比的對比

    Figure  13.  A comparison of the amplitude ratio of the displacement between two cases

    圖  14  兩種情況下地震動反應譜對比

    Figure  14.  Comparison between the response spectra of two models

    圖  15  線性模型地震動模擬的時程樣本

    Figure  15.  Time history samples of ground motion simulation based on linear model

    圖  16  非線性模型地震動模擬的時程樣本

    Figure  16.  Time history samples of ground motion simulation based on nonlinear model

    表  1  土層物理參數

    Table  1.   Soil physical parameters

    土層性質 密度ρ/(kg·m?3) 剪切波速β/(m·s?1) 阻尼比
    基巖 2700 700 0.01
    沉積層 1800 300 0.05
    下載: 導出CSV

    表  2  兩種模擬方法得到的地震動峰值加速度(PGA)與峰值反應譜(PRS)對比

    Table  2.   Comparison of peak ground acceleration (PGA) and peak response spectrum (PRS) between two simulation methods /(m·s?2)

    樣本 A B C
    PGA1 PGA2 PRS1 PRS2 PGA1 PGA2 PRS1 PRS2 PGA1 PGA2 PRS1 PRS2
    1 1.45 1.43 5.83 5.62 2.66 1.90 8.31 6.70 3.92 2.93 16.35 12.87
    2 1.46 1.24 4.93 4.26 3.21 2.26 9.85 7.81 3.91 2.97 15.62 13.42
    3 1.63 1.57 5.40 4.75 3.34 2.04 10.46 7.75 3.95 3.15 17.84 11.55
    4 1.36 1.32 4.93 4.73 2.89 2.05 10.86 6.57 3.98 2.86 16.48 13.11
    5 1.36 1.27 4.63 4.56 2.42 1.78 9.47 6.23 3.53 2.93 16.48 12.86
    總均值 1.38 1.37 4.20 4.19 2.88 2.11 9.00 6.06 3.96 2.95 15.23 11.60
    下載: 導出CSV

    黑人大屌丝逼逼
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  • 收稿日期:  2022-01-17
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