基于柔度指标的系杆拱桥损伤识别与寿命预测
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摘要
提出了一种柔度曲率差变化率的损伤识别指标,通过试验验证指标的有效性,并应用于系杆拱桥算例损伤识别,进而预测其构件剩余寿命。利用系杆拱桥算例中吊杆、拱肋与横撑的多种损伤工况验证了新指标的有效性与抗噪性,基于所提损伤指标建立损伤评估函数并构造相应曲线,用于精确定量评估损伤程度,并采用损伤评估函数预测构件剩余寿命。结果表明,柔度曲率差变化率可有效用于系杆拱桥损伤评估且噪声鲁棒性好,运用结构不同阶段的有损模态信息构建损伤评估函数的方法可行、合理,所提寿命预测方法考虑了损伤非线性累积,意义明确。建议在使用该方法诊断下承式拱桥吊杆时,宜采用拱肋振型向量构建损伤指标,实桥试验时应将振型传感器置于拱肋处。
A new damage indicator called flexibility-curvature-difference-rate was proposed and verified effectively by simply supported beam model experiment.The validity and noise robustness of the new indicator were confirmed in detecting the damage of boom,arch-rib and transverse brace of a tied arch bridge through a numerical example.The damage evaluation function and the damage curve were constructed based on the indicator to evaluate the damage degree accurately.The results can be used in damage degree inversion and quantitative assessment of damage.A new method for estimating the service life based on damage evaluation function was proposed.It is feasible and reasonable to construct damage evaluation function on the basis of structural modal information.The component life evaluation function,which can reflect the non-linear cumulative of component damage,is explicit and well-defined.The numerical example results suggest that vibration type sensor should be placed on the arch-rib.The longitudinal vibration mode vector constructing damage indicator has an ideal effect in detecting the damage of the tied arch bridge.
A new damage indicator called flexibility-curvature-difference-rate was proposed and verified effectively by simply supported beam model experiment.The validity and noise robustness of the new indicator were confirmed in detecting the damage of boom,arch-rib and transverse brace of a tied arch bridge through a numerical example.The damage evaluation function and the damage curve were constructed based on the indicator to evaluate the damage degree accurately.The results can be used in damage degree inversion and quantitative assessment of damage.A new method for estimating the service life based on damage evaluation function was proposed.It is feasible and reasonable to construct damage evaluation function on the basis of structural modal information.The component life evaluation function,which can reflect the non-linear cumulative of component damage,is explicit and well-defined.The numerical example results suggest that vibration type sensor should be placed on the arch-rib.The longitudinal vibration mode vector constructing damage indicator has an ideal effect in detecting the damage of the tied arch bridge.
引文
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[17]Jamal A A,Rami A H.Artificial neural network predictions of fatigue life of steel bars based on hysteretic energy[J].Journal of Computing in Civil Engineering.2013,27(5):489-496.
[18]Joy P,Sauvik B.A combined modal strain energy and particle swarm optimization for health monitoring of structures[J].Journal of Civil Structural Health Monitoring,2015,5(4):353-363.
[19]Pandey A K,Biswas M.Damage detection in structures using changes in flexibility[J].Journal of Sound and Vibration,1994,169(4):3-17.
[20]周宇,狄生奎,项长生,等.基于柔度曲率梯度的刚架拱桥损伤识别[J].应用基础与工程科学学报,2017,25(6):1 211-1 221.Zhou Y,Di Sh K,Xiang Ch Sh,et al.Damage detection of rigid-frame arch bridge based on flexibility curvature gradient[J].Journal of Basic Science and Engineering,2017,25(6):1 211-1 221.(in Chinese)
[21]Zhou Y,Di Sh K,Xiang Ch Sh,et al.Damage identification of simply supported bridge based on rotational angle influence lines method[J].Transactions of Tianjin University,2018,24(6):587-601.
[22]曾森,马新伟,陈少峰.悬索桥主缆和短吊杆轴力计算方法[J].交通运输工程学报,2015,15(5):26-33.Zeng S,Ma X W,Chen Sh F.Computation methods of axial forces for main cables and short hangers of suspension bridges[J].Journal of Traffic and Transportation Engineering,2015,15(5):26-33.(in Chinese)
[23]Xiang Ch Sh,Zhou Y,Di Sh K,et al.Detection indicator of structural nondestructive damage based on flexibility curvature difference rate[J].Applied Mechanics and Materials,2015,744-746:46-52.
[24]刘国光,刘群,潘哲,等.下承式刚性系杆拱桥拱座结点受力特点分析[J].科学技术与工程,2013,13(12):3 327-3 330.Liu G G,Liu Q,Pan Zh,et al.Mechanical characteristics analysis of the arch abutment joint of rigid tied such arch bridge[J].Science Technology and Engineering,2013,13(12):3 327-3 330.(in Chinese)
[25]王立久,汪振双,崔正龙.基于冻融损伤抛物线模型的再生混凝土寿命预测[J].应用基础与工程科学学报,2011,19(1):29-35.Wang L J,Wang Zh Sh,Cui Zh L.Service life prediction of recycled concrete based on freezing thawing damage parabola model[J].Journal of Basisc Science and Engineering,2011,19(1):29-35.(in Chinese)
[26]蔡良才,王海服,张罗利,等.基于累积损伤的机场道面剩余寿命预测模型[J].交通运输工程学报,2014,14(4):1-6.Cai L C,Wang H F,Zhang L L,et al.Prediction model of remaining life for airport pavement based on cumulative damage[J].Journal of Traffic and Transportation Engineering,2014,14(4):1-6.(in Chinese)
[27]余寿文,冯西桥.损伤力学[M].北京:清华大学出版社,1997.Yu Sh W,Feng X Q.Damage mechanics[M].Beijing:Tsinghua University Press,1997.(in Chinese)
[28]王春生,陈艾荣,陈惟珍.基于断裂力学的老龄钢桥剩余寿命与使用安全评估[J].中国公路学报,2006,19(2):42-48.Wang Ch Sh,Chen A R,Chen W Zh.Assessment of remaining fatigue life and service safety for old steel bridges based on fracture mechanics[J].China Journal of Highway and Transport,2006,19(2):42-48.(in Chinese)
[29]彭华,游春华,孟勇.模态曲率差法对梁结构的损伤诊断[J].工程力学,2006,23(7):49-53.Peng H,You Ch H,Meng Y.Damage diagnosis of beam structures by modal curvature difference method[J].Engineering Mechanics,2006,23(7):49-53.(in Chinese)
[2]Zhou Y,Di Sh K,Xiang Ch S,et al.Damage detection for simply supported bridge with bending stiffness fuzzy consideration[J].Journal of Shanghai Jiaotong University(Science),2018,23(2):308-319.
[3]徐典,杨佑发.基于柔度曲率曲线的结构损伤识别方法[J].建筑结构学报,2012,33(12):147-152.Xu D,Yang Y F.A method for structural damage detection based on intact flexibility-curvature curve[J].Journal of Building Structures,2012,33(12):147-152.(in Chinese)
[4]Catbas F N,Brown D L,Aktan A E.Use of modal flexibility for detection and condition assessment:case studies and demonstrations on large structures[J].ASCE Journal of Structural Engineering,2006,132(11):1 699-1 712.
[5]Dawaria V B,Vesmawalab G R.Modal curvature and modal flexibility methods for honeycomb damage identification in reinforced concrete beams[J].Procedia Engineering,2013,51:119-124.
[6]曹晖,张新亮,李英民.利用模态柔度曲率差识别框架的损伤[J].振动与冲击,2007,26(6):116-120.Cao H,Zhang X L,Li Y M.Identify frame damage based on the modal flexibility curvature difference[J].Journal of Vibration and Shock,2007,26(6):116-120.(in Chinese)
[7]李永梅,周锡元,高向宇.基于柔度差曲率矩阵的结构损伤识别方法[J].工程力学,2009,26(2):188-195.Li Y M,Zhou X Y,Gao X Y.Detection indicator of structural nondestructive damage based on curvatureflexibility-difference matrix[J].Engineering Mechanics,2009,26(2):188-195.(in Chinese)
[8]Das S,Saha P,Patro S K.Vibration-based damage detection techniques used for health monitoring of structures:a review[J].Journal of Civil Structural Health Monitoring,2016,6(3):477-507.
[9]吴向男,徐岳,梁鹏,等.桥梁结构损伤识别研究现状与展望[J].长安大学学报(自然科学版),2013,33(6):49-58.Wu X N,Xu Y,Liang P,et al.Research status and prospect of bridge structure damage identification[J].Jouranl of Chang'an University(Natural Science Edition),2013,33(6):49-58.(in Chinese)
[10]Zhen S,Tomonori N,Yozo F.Minimizing noise effect in curvature-based damage detection[J].Journal of Civil Structural Health Monitoring,2016,6(2):255-264.
[11]Housner G W,Bergman L A,Caughey T K,et al.Structural control:past,present,and future[J].Journal of Engineering Mechanics,1997,123(9):897-971.
[12]Adel E,Matthew K G,Georges E G,et al.Analysis,prediction,and case studies of early-age cracking in bridge decks[J].International Journal of Advanced Structural Engineering,2016,8(2):193-212.
[13]黄洪钟,朱顺鹏,汪忠来,等.基于剩余强度衰减退化的非线性累积损伤准则及其可靠性定寿[J].应用基础与工程科学学报,2011,19(2):323-334.Huang H Zh,Zhu Sh P,Wang Zh L,et al.Nonlinear fatigue damage cumulative rule based on strength degradation and its application to fatigue life reliability analysis[J].Journal of Basisc Science and Engineering,2011,19(2):323-334.(in Chinese)
[14]Jun Y P,Ho-Kyung K.Fatigue life assessment for a composite box girder bridge[J].International Journal of Steel Structures,2014,14(4):843-853.
[15]廖雯竹,潘尔顺,王莹,等.统计模式识别和自回归滑动平均模型在设备剩余寿命预测中的应用[J].上海交通大学学报,2011,45(7):1 000-1 005.Liao W Zh,Pan E Sh,Wang Y,et al.Research of predicting machine's remaining useful life based on statistical pattern recognition and auto-regressive and moving average model[J].Journal of Shanghai Jiaotong University,2011,45(7):1 000-1 005.(in Chinese)
[16]李洪儒,王余奎,王冰,等.面向广义数学形态颗粒特征的灰色马尔科夫剩余寿命预测方法[J].振动工程学报,2015,28(2):316-323.Li H R,Wang Y K,Wang B,et al.The method of grey markov remaining service life prediction specific to generalized mathematical morphological particle[J].Journal of Vibration Engineering,2015,28(2):316-323.(in Chinese)
[17]Jamal A A,Rami A H.Artificial neural network predictions of fatigue life of steel bars based on hysteretic energy[J].Journal of Computing in Civil Engineering.2013,27(5):489-496.
[18]Joy P,Sauvik B.A combined modal strain energy and particle swarm optimization for health monitoring of structures[J].Journal of Civil Structural Health Monitoring,2015,5(4):353-363.
[19]Pandey A K,Biswas M.Damage detection in structures using changes in flexibility[J].Journal of Sound and Vibration,1994,169(4):3-17.
[20]周宇,狄生奎,项长生,等.基于柔度曲率梯度的刚架拱桥损伤识别[J].应用基础与工程科学学报,2017,25(6):1 211-1 221.Zhou Y,Di Sh K,Xiang Ch Sh,et al.Damage detection of rigid-frame arch bridge based on flexibility curvature gradient[J].Journal of Basic Science and Engineering,2017,25(6):1 211-1 221.(in Chinese)
[21]Zhou Y,Di Sh K,Xiang Ch Sh,et al.Damage identification of simply supported bridge based on rotational angle influence lines method[J].Transactions of Tianjin University,2018,24(6):587-601.
[22]曾森,马新伟,陈少峰.悬索桥主缆和短吊杆轴力计算方法[J].交通运输工程学报,2015,15(5):26-33.Zeng S,Ma X W,Chen Sh F.Computation methods of axial forces for main cables and short hangers of suspension bridges[J].Journal of Traffic and Transportation Engineering,2015,15(5):26-33.(in Chinese)
[23]Xiang Ch Sh,Zhou Y,Di Sh K,et al.Detection indicator of structural nondestructive damage based on flexibility curvature difference rate[J].Applied Mechanics and Materials,2015,744-746:46-52.
[24]刘国光,刘群,潘哲,等.下承式刚性系杆拱桥拱座结点受力特点分析[J].科学技术与工程,2013,13(12):3 327-3 330.Liu G G,Liu Q,Pan Zh,et al.Mechanical characteristics analysis of the arch abutment joint of rigid tied such arch bridge[J].Science Technology and Engineering,2013,13(12):3 327-3 330.(in Chinese)
[25]王立久,汪振双,崔正龙.基于冻融损伤抛物线模型的再生混凝土寿命预测[J].应用基础与工程科学学报,2011,19(1):29-35.Wang L J,Wang Zh Sh,Cui Zh L.Service life prediction of recycled concrete based on freezing thawing damage parabola model[J].Journal of Basisc Science and Engineering,2011,19(1):29-35.(in Chinese)
[26]蔡良才,王海服,张罗利,等.基于累积损伤的机场道面剩余寿命预测模型[J].交通运输工程学报,2014,14(4):1-6.Cai L C,Wang H F,Zhang L L,et al.Prediction model of remaining life for airport pavement based on cumulative damage[J].Journal of Traffic and Transportation Engineering,2014,14(4):1-6.(in Chinese)
[27]余寿文,冯西桥.损伤力学[M].北京:清华大学出版社,1997.Yu Sh W,Feng X Q.Damage mechanics[M].Beijing:Tsinghua University Press,1997.(in Chinese)
[28]王春生,陈艾荣,陈惟珍.基于断裂力学的老龄钢桥剩余寿命与使用安全评估[J].中国公路学报,2006,19(2):42-48.Wang Ch Sh,Chen A R,Chen W Zh.Assessment of remaining fatigue life and service safety for old steel bridges based on fracture mechanics[J].China Journal of Highway and Transport,2006,19(2):42-48.(in Chinese)
[29]彭华,游春华,孟勇.模态曲率差法对梁结构的损伤诊断[J].工程力学,2006,23(7):49-53.Peng H,You Ch H,Meng Y.Damage diagnosis of beam structures by modal curvature difference method[J].Engineering Mechanics,2006,23(7):49-53.(in Chinese)