Analysis of Characteristic Parameters of Seismic Design Spectrum in Yunnan Region Based on Pseudo Acceleration Spectrum
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摘要:
为研究规范设计谱在长周期段大阻尼反超小阻尼的问题，基于考虑结构真实惯性力的伪加速度反应谱理论，通过收集云南地区自2007年以来震级大于4.5级的强震记录，建立根据场地类别划分标准、震级大小、震中距和设计地震分组的分类体系，并采用全局和邻域变异的差分进化算法标定得到各类别下的标定参数平均值，在此基础上获取各因素对特征周期、放大系数谱平台值和衰减指数的影响，最终提出针对云南地区的参数建议取值. 研究结果表明：场地类别和震中距均与特征周期$ {T}_{\text{g}} $存在正相关性，根据标定结果对不同场地类别下的设计地震分组提出建议值，较规范建议值平均增大0.05 s；震中距和震级对放大系数谱平台值$ {\beta }_{\max } $的影响较弱，未展示出明确规律性，$ {\beta }_{\max } $的标定结果较规范取值偏大，综合考虑统计结果与工程安全冗余，建议云南地区$ {\beta }_{\max } $取值范围为2.575～2.675；阻尼比是影响衰减指数
γ 的最主要因素，γ 与阻尼比$ \xi $之间的线性关系式量化了阻尼比对谱形衰减段的影响，为合理考虑阻尼效应提供了依据.Abstract:To investigate the issue that the response spectrum for structures with high damping exceeds that with low damping in the long-period range in code design spectra, strong earthquake records with magnitudes greater than 4.5 in the Yunnan region since 2007 were collected based on the pseudo acceleration response spectrum theory considering the true inertial forces of structures. A classification system based on the site category classification standard, magnitude, epicentral distance, and design earthquake group was established. A differential evolution algorithm with global and neighborhood mutation was employed to calibrate and obtain the average values of the calibration parameters under each category. On this basis, the effects of various factors on the characteristic period, the plateau value of the amplification factor spectrum, and the decay index were obtained, and the recommended parameter values for the Yunnan region were ultimately proposed. The results indicate that both site category and epicentral distance have a positive correlation with the characteristic period $ {T}_{\text{g}} $. The recommended values for design earthquake groups under different site categories proposed based on the calibration results are increased by 0.05 s on average compared with the code recommended values. Epicentral distance and magnitude have a weak effect on the plateau value of the amplification factor spectrum $ {\beta }_{\max } $, and no clear regularity is shown. The calibration result of $ {\beta }_{\max } $is larger than the code value. Considering the statistical results and engineering safety redundancy comprehensively, it is suggested that the value range of $ {\beta }_{\max } $ in the Yunnan region be set to 2.575–2.675. The damping ratio is the most dominant factor affecting the decay index
γ . The linear relationship betweenγ and the damping ratio $ \xi $ quantifies the effect of the damping ratio on the spectral decay segment, providing a basis for reasonably considering the damping effect. -
图 1 景谷地震53JYP台站强震记录加速度反应谱
Figure 1. Acceleration response spectrum of strong earthquake record at 53JYP station of Jinggu Earthquake
图 5 GLDE标定谱与规范设计谱和反应谱对比
Figure 5. Comparison of GLDE calibration spectrum with code design spectrum and response spectrum
图 6 特征周期-设计地震分组交互效应分析
Figure 6. Analysis of interaction effect between characteristic period and design earthquake group
表 1 不同场地类别特征周期统计结果
Table 1. Statistical results of characteristic period for different site categories
场地类别 Ⅰ类 Ⅱ类 Ⅲ类 特征周期/s 0.30（48条） 0.51（181条） 0.83（18条） 注：括号内为该类别下的强震记录数量，余同. 
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表 2 不同震级区间特征周期$ {T}_{\text{g}} $统计结果
Table 2. Statistical results of characteristic period $ {T}_{\text{g}} $ for different magnitude intervals
震级 4.5～5.5级 5.5～6.5级 6.5～7.5级 $ {T}_{\rm g} $/s 0.36（21条） 0.53（157条） 0.45（69条）
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表 3 不同震中距分组特征周期$ {T}_{\rm g} $统计结果
Table 3. Statistical results of characteristic period $ {T}_{\rm g} $ （s） for different epicentral distance groups
震中距/km 0～30 30～50 50～100 >100 $ {T}_{\rm g} $/s 0.32（36条） 0.39（44条） 0.48（84条） 0.64（83条）
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表 4 不同场地类别地震记录按Tg’分区表
Table 4. Zoning table of earthquake records for different site categories according to Tg’
地震分组 Ⅰ类 Ⅱ类 Ⅲ类 Ⅳ类 第1组 ≤0.30 ≤0.40 ≤0.50 ≤0.70 第2组 （0.30,0.35） （0.40,0. 45） （0.50,0. 65） （0.70,0. 90） 第3组 ≥0.35 ≥0.45 ≥0.65 ≥0.90
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表 5 $ {T}_{\text{g}} $建议值
Table 5. Recommended values of characteristic period $ {T}_{\text{g}} $
地震分组 Ⅰ类 Ⅱ类 Ⅲ类 第1组 0.25 0.35 0.40 第2组 0.35 0.45 0.80 第3组 0.55 0.75 0.95
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表 6 不同场地类别$ {\beta }_{\max } $统计结果
Table 6. Statistical results of $ {\beta }_{\max } $ for different site categories
场地类别 Ⅰ类 Ⅱ类 Ⅲ类 $ {\beta }_{{\mathrm{max}}} $ 2.96 2.93 2.76
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表 7 不同震级分组$ {\beta }_{\max } $统计结果
Table 7. Statistical results of $ {\beta }_{\max } $ for different magnitude groups
震级区间 4.5～5.5 5.5～6.5 6.5～7.5 $ {\beta }_{\max } $ 3.08 2.89 2.95
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表 8 不同震中距分组$ {\beta }_{\max } $统计结果
Table 8. Statistical results of $ {\beta }_{\max } $ for different epicentral distance groups
震中距/km 0～30 30～50 50～100 >100 $ {\beta }_{\max } $ 2.05 2.13 2.24 2.26
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表 9 不同场地类别下按震中距进行设计地震分组$ {\beta }_{\max } $统计结果
Table 9. Statistical results of design earthquake group $ {\beta }_{\max } $ according to epicentral distance under different site categories
地震分组 Ⅰ类 Ⅱ类 Ⅲ类 第1组（0～50 km） 2.73 2.75 2.41 第2组（50～100 km） 2.90 3.00 2.99 第3组（>100 km） 3.33 3.03 2.80
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表 10 不同场地类别下按阻尼比分组γ统计结果
Table 10. Statistical results of γ according to damping ratio groups under different site categories
阻尼比/% Ⅰ类 Ⅱ类 Ⅲ类 5 1.40 1.39 1.37 10 1.39 1.33 1.34 15 1.37 1.29 1.31 20 1.31 1.26 1.19 30 1.24 1.20 1.10
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表 11 不同震级分组下按阻尼比分组γ统计结果
Table 11. Statistical results of γ according to damping ratio groups under different magnitude groups
阻尼比/% 4.5～5.5级 5.5～6.5级 6.5～7.5级 5 1.60 1.38 1.36 10 1.61 1.33 1.30 15 1.63 1.28 1.27 20 1.54 1.24 1.24 30 1.45 1.17 1.19
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表 12 不同震中距分组下按阻尼比分组γ统计结果
Table 12. Statistical results of γ according to damping ratio groups under different epicentral distance groups
阻尼比/% 0～30 km 30～50 km 50～100 km >100 km 5 1.44 1.53 1.34 1.34 10 1.40 1.47 1.27 1.33 15 1.37 1.44 1.23 1.31 20 1.29 1.38 1.18 1.27 30 1.18 1.31 1.13 1.21
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