基于应变区间折减理论的频率相关等效线性化方法

郑山锁; 张晓宇; 龙立; 陈方格; 贺钧; 李平

doi:10.11779/CJGE202107008

基于应变区间折减理论的频率相关等效线性化方法 English Version

郑山锁^{1, 2,},
张晓宇^{1, 2},
龙立^{1, 2},
陈方格^{1, 2},
贺钧³,
李平⁴

1.
西安建筑科技大学土木工程学院,陕西　西安　710055
2.
结构工程与抗震教育部重点实验室,陕西　西安　710055
3.
中国启源工程设计研究院有限公司,陕西　西安　710055
4.
陕西师范大学,陕西　西安　710055

基金项目:

国家重点研发计划项目 2019YFC1509302

陕西省重点研发计划项目 2021ZDLSF06-10

西安市科技计划项目 2019113813CXSF016SF026

详细信息

作者简介:
郑山锁(1960— ),男,教授,博士生导师,主要从事结构工程与工程抗震方面的科研工作。E-mail：zhengshansuo@263.net

中图分类号: TU435
计量
- 文章访问数: 232
- HTML全文浏览量: 18
- PDF下载量: 75
出版历程
- 收稿日期: 2020-07-02
- 网络出版日期: 2022-12-02
- 刊出日期: 2021-06-30

Frequency-dependent equivalent linearization method based on strain interval reduction theory

ZHENG Shan-suo^{1, 2,},
ZHANG Xiao-yu^{1, 2},
LONG Li^{1, 2},
CHEN Fang-ge^{1, 2},
HE Jun³,
LI Ping⁴

1.
School of Civil Engineering, Xi'an University of Architecture and & Technology, Xi'an 710055, China
2.
Key Lab of Structural Engineering and Earthquake Resistance, Ministry of Education, Xi'an, 710055, China
3.
China Qiyuan Engineering Corporation, Xi'an 710055, China
4.
Shaanxi Normal University, Xi'an 710055, China

摘要

摘要: 为了克服传统等效线性化方法高频段响应被低估的问题,基于传统等效线性化分析原理,结合目前各种频率相关的等效线性化理论方法,提出了考虑有效应变区间折减的频率相关等效线性化方法。采用标准化应变谱表征等效应变与频率的关系,引入剪切应变弹性阈值概念,修正标准化应变谱幅值在弹性应变范围内的频段,同时采用Gaussian平滑方法拟合标准化应变谱,建立有效应变区间折减系数的分段函数,并利用竖向台阵的地震动实测记录对本文方法的可靠性和适用性进行考察。各类场地的分析结果表明：本文方法考虑了地震动高频成分所对应的较大剪切模量和较小阻尼比的实际情况,给出了场地地震反应在高频段的优化结果,可为实际工程的抗震设计提供可靠依据。
- 频率相关 /
- 等效线性化 /
- 区间折减 /
- 场地地震响应分析
Abstract: In order to overcome the problem of underestimating the high-frequency Fourier spectrum amplification ratio obtained by the original equivalent linearization method, a frequency-dependent equivalent linearization method considering the effective strain interval reduction is proposed. Based on the traditional equivalent linearization analysis theory, various frequency-dependent equivalent linear methods are combined. The standardized strain spectrum is utilized to characterize the relationship between the equivalent strain and the frequency. The concept of shear strain elastic threshold is introduced to modify the standardized strain spectrum amplitude at the frequency within the elastic strain range. The standardized strain spectrum is fitted by the Gaussian smoothing method, then the piecewise function for the effective strain interval reduction coefficient is established. The ground motion measurement records at vertical stations are utilized to investigate the reliability and applicability of the proposed method. The analysis results of various sites show that the method fully considers the actual situation of the larger shear modulus and smaller damping ratio. Those factors are corresponding to the high-frequency component of the ground motion. The proposed method gives the optimization results of the site seismic response in the high frequency band and provides a basis for the seismic design of the actual projects.
- frequency dependence /
- equivalent linearization /
- interval reduction /
- site seismic response analysis

HTML全文

图 1 有效应变区间分段折减的分析流程

Figure 1. Analysis process of segmentation reduction of effectivestrain interval

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图 2 标准化应变谱及拟合曲线

Figure 2. Standardized strain spectra and reduction factors of maximum shear strain

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图 3 各台阵波速柱状图

Figure 3. Column graphs of shear-wave velocity

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图 4 土体动力学参数图

Figure 4. Dynamic parameters of soil

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图 5 IBRH07台阵地表加速度记录与计算值的比较

Figure 5. Comparison between calculated surface acceleration of IWTH14 station and measured records

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图 6 IWTH14台阵计算所得地表加速度反应谱与实测记录对比

Figure 6. Comparison between calculated surface acceleration response spectrum (ARS) of IWTH14 station and measured records

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图 7 SZOH42台阵计算所得地表加速度反应谱与实测记录对比

Figure 7. Comparison between calculated surface acceleration response spectrum (ARS) of SZOH42 station and measured record

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图 8 IBRH07台阵计算所得地表加速度反应谱与实测记录对比

Figure 8. Comparison between calculated surface acceleration response spectrum (ARS) of IBRH07 station and measured record

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图 9 厚软土场地地表地震动傅里叶幅值谱

Figure 9. Fourier amplitude spectra of time-history curves of ground motion on thick soft ground

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图 10 厚软土场地地表地震动时程曲线的动力放大系数

Figure 10. Magnification factors of time-history curve of ground motion on thick soft ground

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表 1 所选台阵的基本信息

Table 1 Basic information of selected stations

编号	台阵	纬度	经度	v_se /(m·s^-1)	覆盖层厚度/m	T₅₀₀/s
^#1	SZOH42	34.9723	138.9159	139.29	30	0.86
^#2	IBRH10	36.1078	139.9919	301.98	190	2.52
^#3	IBRH07	35.9489	140.3334	224.84	147	2.62
^#4	IWTH14	39.7406	141.9125	292.68	6	0.08

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参考文献(14)

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