·284· 工程科学学报，第40卷，第3期 频率变化更准确地评估结构性能，在不同的评估时 bridges considering temperature and wind effects.China Civil Eng 间尺度上应重点考虑不同的作用，采用不同的结构 J,2009,42(4):100 (李顺龙，李惠，欧进萍，等.考虑温度和风速影响的桥梁结 频率回归或预测模型. 构模态参数分析.土木工程学报，2009,42(4)：100) (4)本文的创新点在于发现新现象和提出新方 9]Zhou H F,Ni YQ,Ko J M.Eliminating temperature effect in vi- 法：由于考察了风荷载和海面高度的变化，作者发现 bration-based structural damage detection.J Eng Mech,2011, 了12.42h的潮汐周期：基于周期性所提出的“周期 137(12):785 平均法”直观比较了作用对频率变化的影响，印证 [10]Xia Y,Chen B,Weng S,et al.Temperature effect on vibration 了偏相关系数的定量分析结果.当然，本文只根据 properties of civil structures:a literature review and case studies. J Civil Struct Health Moni,2012,2(1)29 实测数据的统计相关性分析了桥梁运营期频率变化 [11]Mosavi AA,Seracino R,Rizkalla S.Effect of temperature on 的原因，而未讨论各种作用影响频率变化的物理机 daily modal variability of a steel-concrete composite bridge.I 理，这些内容将另文交待 Bridge Eng,2012,17(6):979 [12]He X F.Vibration-Based Damage ldentification and Health Moni- 致谢作者十分感谢上海东海大桥管理有限公 toring of Civil Structures DDissertation].San Diego:University of 司、上海巨一科技发展有限公司对本研究的大力 California,2008 支持 [03] Peeters B,De Roeck G.One-year monitoring of the 724-Bridge: environmental effects versus damage events.Earthquake Eng 参考文献 Struct Dyn,2001,30:149 [1]Fan W.Qiao PZ.Vibration-based damage identification methods: [14]Moser P,Moaveni B.Environmental effects on the identified nat- a review and comparative study.Struct Health Monit,2011,10 ural frequencies of the Dowling Hall Footbridge.Mech Syst Signal (1):83 Process,2011,25(7):2336 [2]Ralbovsky M,Deix S,Flesch R.Frequency changes in frequency- [15]Wattana K,Nishio M.Traffic volume estimation in a cable-stayed based damage identification.Struct Infrastruct Eng,2010,6(5): bridge using dynamic responses acquired in the structural health 611 monitoring.Struct Control Health Monit,2017.24(4):e1890 B]Yu Y G,Zong Z H,Chen B C,et al.Effects of environmental [16]Magalhaes F,Cunha A.Automated identification of the modal temperature on modal frequency of continuous rigid frame bridge. parameters of a cable-stayed bridge:influence of the wind condi- Vib Meas Diagn,2014,34(1)69 tions.Smart Struct Syst,2016,17(3)431 (余印根，宗周红，陈宝春，等.环境温度对连续刚构桥模态 [17]Cross E J,Koo K Y,Brownjohn J M W,et al.Long-erm moni- 频率的影响.振动、测试与诊断，2014,34(1)：69) toring and data analysis of the Tamar Bridge.Mech Syst Signal 4]Magalhaes F,Cunha A,Caetano E.Vibration based structural Process,2013,35(12):16 health monitoring of an arch bridge:from automated OMA to dam- [18]Sun L M,Zhou Y,Xie D Q.Periodic characteristics of environ- age detection.Mech Syst Signal Process,2012,28:212 mental effects on modal frequencies of a cable-stayed bridge.J Gentile C.Saisi A.Operational modal testing of historie struictures at Tongji Unin Nat Sci,2015,43(10):1454 different levels of excitation.Constr Build Mater,2013,48:1273 (孙利民，周毅，谢大圻.环境因素对斜拉桥模态频率影响 6]Xu Y L,Xia Y.Structural Health Monitoring of Long-Span Sus- 的周期特性.同济大学学报（自然科学版），2015,43(10)： pension Bridges.Abingdon:Spon Press,2011 1454) ]Ding YL.Li A Q.Temperature-induced variations of measured [19]He X Q,Liu W Q.Applied Regression Analysis.3rd Ed.Bei- modal frequencies of steel box girder for a long-span suspension jing:China Renmin University Press,2011 bridge.Int J Steel Struct,2011,11(2)145 (何晓群，刘文卿.应用回归分析.3版.北京：中国人民大 [8]Li S L,Li H,Ou J P,et al.Identification of modal parameters of 学出版社，2011)工程科学学报，第 40 卷，第 3 期 频率变化更准确地评估结构性能，在不同的评估时 间尺度上应重点考虑不同的作用，采用不同的结构 频率回归或预测模型． ( 4) 本文的创新点在于发现新现象和提出新方 法: 由于考察了风荷载和海面高度的变化，作者发现 了 12. 42 h 的潮汐周期; 基于周期性所提出的“周期 平均法”直观比较了作用对频率变化的影响，印证 了偏相关系数的定量分析结果． 当然，本文只根据 实测数据的统计相关性分析了桥梁运营期频率变化 的原因，而未讨论各种作用影响频率变化的物理机 理，这些内容将另文交待． 致谢 作者十分感谢上海东海大桥管理有限公 司、上海巨一科技发展有限公司对本研究的大力 支持． 参 考 文 献 ［1］ Fan W，Qiao P Z． Vibration-based damage identification methods: a review and comparative study． Struct Health Monit，2011，10 ( 1) : 83 ［2］ Ｒalbovsky M，Deix S，Flesch Ｒ． Frequency changes in frequency￾based damage identification． Struct Infrastruct Eng，2010，6( 5) : 611 ［3］ Yu Y G，Zong Z H，Chen B C，et al． Effects of environmental temperature on modal frequency of continuous rigid frame bridge． J Vib Meas Diagn，2014，34( 1) : 69 ( 余印根，宗周红，陈宝春，等． 环境温度对连续刚构桥模态 频率的影响． 振动、测试与诊断，2014，34( 1) : 69) ［4］ Magalhes F，Cunha A，Caetano E． Vibration based structural health monitoring of an arch bridge: from automated OMA to dam￾age detection． Mech Syst Signal Process，2012，28: 212 ［5］ Gentile C，Saisi A． Operational modal testing of historic structures at different levels of excitation． Constr Build Mater，2013，48: 1273 ［6］ Xu Y L，Xia Y． Structural Health Monitoring of Long-Span Sus￾pension Bridges． Abingdon: Spon Press，2011 ［7］ Ding Y L，Li A Q． Temperature-induced variations of measured modal frequencies of steel box girder for a long-span suspension bridge． Int J Steel Struct，2011，11( 2) : 145 ［8］ Li S L，Li H，Ou J P，et al． Identification of modal parameters of bridges considering temperature and wind effects． China Civil Eng J，2009，42( 4) : 100 ( 李顺龙，李惠，欧进萍，等． 考虑温度和风速影响的桥梁结 构模态参数分析． 土木工程学报，2009，42( 4) : 100) ［9］ Zhou H F，Ni Y Q，Ko J M． Eliminating temperature effect in vi￾bration-based structural damage detection． J Eng Mech，2011， 137( 12) : 785 ［10］ Xia Y，Chen B，Weng S，et al． Temperature effect on vibration properties of civil structures: a literature review and case studies． J Civil Struct Health Moni，2012，2( 1) : 29 ［11］ Mosavi A A，Seracino Ｒ，Ｒizkalla S． Effect of temperature on daily modal variability of a steel-concrete composite bridge． J Bridge Eng，2012，17( 6) : 979 ［12］ He X F． Vibration-Based Damage Identification and Health Moni￾toring of Civil Structures［Dissertation］． San Diego: University of California，2008 ［13］ Peeters B，De Ｒoeck G． One-year monitoring of the Z24--Bridge: environmental effects versus damage events． Earthquake Eng Struct Dyn，2001，30: 149 ［14］ Moser P，Moaveni B． Environmental effects on the identified nat￾ural frequencies of the Dowling Hall Footbridge． Mech Syst Signal Process，2011，25( 7) : 2336 ［15］ Wattana K，Nishio M． Traffic volume estimation in a cable-stayed bridge using dynamic responses acquired in the structural health monitoring． Struct Control Health Monit，2017，24( 4) : e1890 ［16］ Magalhaes F，Cunha A． Automated identification of the modal parameters of a cable-stayed bridge: influence of the wind condi￾tions． Smart Struct Syst，2016，17( 3) : 431 ［17］ Cross E J，Koo K Y，Brownjohn J M W，et al． Long-term moni￾toring and data analysis of the Tamar Bridge． Mech Syst Signal Process，2013，35( 1-2) : 16 ［18］ Sun L M，Zhou Y，Xie D Q． Periodic characteristics of environ￾mental effects on modal frequencies of a cable-stayed bridge． J Tongji Univ Nat Sci，2015，43( 10) : 1454 ( 孙利民，周毅，谢大圻． 环境因素对斜拉桥模态频率影响 的周期特性． 同济大学学报( 自然科学版) ，2015，43( 10) : 1454) ［19］ He X Q，Liu W Q． Applied Ｒegression Analysis． 3rd Ed． Bei￾jing: China Ｒenmin University Press，2011 ( 何晓群，刘文卿． 应用回归分析． 3 版． 北京: 中国人民大 学出版社，2011) · 482 ·