钢混结构地震损伤评估的突变模型
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摘要
为了提高钢混结构地震损伤评估的可靠性和实用性,运用突变理论,提出了地震损伤评估的突变模型。该模型以整体损伤指数、滞回耗能循环次数、最大层间位移角和楼层能量集中系数作为评价指标,建立钢筋混凝土结构地震损伤性能评价标准;对各评价指标赋值及标准化,选取相应的突变模型计算出每个结构地震损伤的总突变值,并与钢筋混凝土结构地震损伤性能评价标准比较和分析,从而判别结构损伤程度。通过4种不同结构计算并与可变模糊集方法、集对理论方法等进行比较分析,本文评估结果与其他方法的评估结果基本一致,验证了该模型的合理性和可靠性;该模型更为简单,避免了权重确定中的主观性和随意性。
In order to improve the readability of earthquake damage assessment to reinforced concrete structure,the catastrophe model for earthquake damage assessment is established using the catastrophe theory.Firstly,internal damage index,number of inelastic cycles,maximum inter-story drift and energy-concentrated quotient are taken as evaluation factors.The evaluation criteria of seismic damage to reinforced concrete structure is established.Value assignment and standardization of each evaluation index is conducted.The appropriate mutation model is selected to calculate the total mutation value of seismic damage and comparison with the evaluation criteria of seismic damage of reinforced concrete structure.Thus,the degree of structural damage is determined.Four different structures are calculated.The results are compared with the ones of variable fuzzy set theory,set-pair theory.The evaluation results of the four methods are basically the same.It verifies the reasonableness and effectiveness of the method.The model is simple.It avoids subjectivity and arbitrariness in the determination of the weight.
In order to improve the readability of earthquake damage assessment to reinforced concrete structure,the catastrophe model for earthquake damage assessment is established using the catastrophe theory.Firstly,internal damage index,number of inelastic cycles,maximum inter-story drift and energy-concentrated quotient are taken as evaluation factors.The evaluation criteria of seismic damage to reinforced concrete structure is established.Value assignment and standardization of each evaluation index is conducted.The appropriate mutation model is selected to calculate the total mutation value of seismic damage and comparison with the evaluation criteria of seismic damage of reinforced concrete structure.Thus,the degree of structural damage is determined.Four different structures are calculated.The results are compared with the ones of variable fuzzy set theory,set-pair theory.The evaluation results of the four methods are basically the same.It verifies the reasonableness and effectiveness of the method.The model is simple.It avoids subjectivity and arbitrariness in the determination of the weight.
引文
[1]刘杨,李忠献,丁阳.竖向杆系构件地震损伤的模糊评估方法[J].地震工程与工程振动,2010,30(4):45-50.
[2]Sozen M A.Review of Earthquake Response of Rein-forced Concrete Buildings with a View to Drift Control,State-of-the-art in Earthquake Engineering[C]//Pro-ceedings of the 7th World Conference on EarthquakeEngineering,Istanbul,1980.
[3]江近仁,孙景江.砖结构的地震破坏模型[J].地震工程与工程振动,1987,7(1):20-34.
[4]牛荻涛,任利杰.改进的钢筋混凝土结构双参数地震破坏模型[J].地震工程与工程振动,1996,16(4):44-54.
[5]Zhang X,Wong K K F,Wang Y.Performance assess-ment of moment resisting frames during earthquakesbased on the force analogy method[J].EngineeringStructures,2007,29(10):2792-2802.
[6]于琦,孟少平,吴京.基于变形与能量双重准则的钢筋混凝土结构地震损伤评估[J].土木工程学报,2011,44(5):16-23.
[7]何浩祥,闫维明,周锡元.基于性能的钢混框架结构多元模糊地震损伤评估[J].工程抗震与加固改造,2006,28(1):100-105.
[8]何浩祥,阎维明,乔亚玲.物元分析理论在钢筋混凝土结构地震损伤评估中的应用[J].北京工业大学学报,2006,32(9):791-798.
[9]陈守煜.可变模糊集合理论-兼论可拓学的数学与逻辑错误[J].大连理工大学学报,2007,47(4):618-624.
[10]王威,马东辉,苏经字,等.基于集对分析理论的钢筋混凝土结构地震损伤综合评估方法[J].北京工业大学学报,2009,35(2):191-196.
[11]陈守煜.基于可变模糊集的辩证法三大规律数学定理及其应用[J].大连理工大学学报,2010,50(5):838-844.
[12]陈守煜,牛云格,王子茹.基于可变模糊集的钢混结构地震损伤评估原理与方法[J].水利与建筑工程学报,2011,9(2):1-6.
[13]Yao W J,Qiu Y Z,Chen Z K.Ultimate bearing ca-pacity analysis of a super-long rock-socketed fillingpile based on catastrophe theory[J].Advances inStructural Engineering,2010,13(2):331-338
[14]刘朝峰,苏经宇,王威,等.区域地震灾害承载力评价的突变模型[J].中国安全科学学报,2011,21(11):8-15.
[15]李祚泳,张国丽,党媛.推广的高维突变模型势函数及用于地下水水质评价[J].系统工程,2010,28(4):101-105.
[2]Sozen M A.Review of Earthquake Response of Rein-forced Concrete Buildings with a View to Drift Control,State-of-the-art in Earthquake Engineering[C]//Pro-ceedings of the 7th World Conference on EarthquakeEngineering,Istanbul,1980.
[3]江近仁,孙景江.砖结构的地震破坏模型[J].地震工程与工程振动,1987,7(1):20-34.
[4]牛荻涛,任利杰.改进的钢筋混凝土结构双参数地震破坏模型[J].地震工程与工程振动,1996,16(4):44-54.
[5]Zhang X,Wong K K F,Wang Y.Performance assess-ment of moment resisting frames during earthquakesbased on the force analogy method[J].EngineeringStructures,2007,29(10):2792-2802.
[6]于琦,孟少平,吴京.基于变形与能量双重准则的钢筋混凝土结构地震损伤评估[J].土木工程学报,2011,44(5):16-23.
[7]何浩祥,闫维明,周锡元.基于性能的钢混框架结构多元模糊地震损伤评估[J].工程抗震与加固改造,2006,28(1):100-105.
[8]何浩祥,阎维明,乔亚玲.物元分析理论在钢筋混凝土结构地震损伤评估中的应用[J].北京工业大学学报,2006,32(9):791-798.
[9]陈守煜.可变模糊集合理论-兼论可拓学的数学与逻辑错误[J].大连理工大学学报,2007,47(4):618-624.
[10]王威,马东辉,苏经字,等.基于集对分析理论的钢筋混凝土结构地震损伤综合评估方法[J].北京工业大学学报,2009,35(2):191-196.
[11]陈守煜.基于可变模糊集的辩证法三大规律数学定理及其应用[J].大连理工大学学报,2010,50(5):838-844.
[12]陈守煜,牛云格,王子茹.基于可变模糊集的钢混结构地震损伤评估原理与方法[J].水利与建筑工程学报,2011,9(2):1-6.
[13]Yao W J,Qiu Y Z,Chen Z K.Ultimate bearing ca-pacity analysis of a super-long rock-socketed fillingpile based on catastrophe theory[J].Advances inStructural Engineering,2010,13(2):331-338
[14]刘朝峰,苏经宇,王威,等.区域地震灾害承载力评价的突变模型[J].中国安全科学学报,2011,21(11):8-15.
[15]李祚泳,张国丽,党媛.推广的高维突变模型势函数及用于地下水水质评价[J].系统工程,2010,28(4):101-105.
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