基于灰色关联服役构件的可靠度评估研究
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摘要
为获取服役构件的待定可靠指标以便为决策服务,用共维条件下排序方法通过影响因素的映射进而评估待定指标。采用通过分析服役受弯构件的性能来确定其可靠度影响因素,进而根据层次递阶原理建立可靠度评价指标体系。然后利用可变模糊集理论中模糊量化理论(FQT)的概念确定各影响因素的权重,再根据权重结果利用灰色关联分析法(GRA)计算构件的可靠指标的相对顺序,最后得到待定构件的可靠指标范围。实例研究结果表明,将FQT理论和GRA有机结合,能够有效刻画影响因素的互交性、判断准则的模糊性及所获取相关信息不完备的灰色性等特点,并且评估结果与实际情况吻合。
In order to obtain the undetermined reliability index of the in-service to serve the decision,the ordering method under the conformal space condition through the mapping of the influence factor is used to assess the undetermined index.The reliability influence factors are determined by analyzing the characters of the bending components in service,and the reliability assessment index system is established according to the level hierarchical relationship.Then the weights of influence factors are determined by the concept of FQT in variable fuzzy set theory,and the relative order of the reliability index of the components are computed using GRA model based on the weight results.In the end,the reliability index range of the undetermined components is obtained.The results of the real examples show that the organic combination of FQT with GRA model can effectively describe the interaction of the influence factor,the fuzziness of the judging criterion and the grey characters of the incomplete relevant information.And the assessed result is consistent with the engineering practice.
In order to obtain the undetermined reliability index of the in-service to serve the decision,the ordering method under the conformal space condition through the mapping of the influence factor is used to assess the undetermined index.The reliability influence factors are determined by analyzing the characters of the bending components in service,and the reliability assessment index system is established according to the level hierarchical relationship.Then the weights of influence factors are determined by the concept of FQT in variable fuzzy set theory,and the relative order of the reliability index of the components are computed using GRA model based on the weight results.In the end,the reliability index range of the undetermined components is obtained.The results of the real examples show that the organic combination of FQT with GRA model can effectively describe the interaction of the influence factor,the fuzziness of the judging criterion and the grey characters of the incomplete relevant information.And the assessed result is consistent with the engineering practice.
引文
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[21]杨珊,陈建宏,郭宏斌,等.隧道爆破振动影响因素的灰色关联分析[J].中国安全科学学报,2011,21(6):65-71.YANG Shan,CHEN Jian-hong,GUO Hong-bin,et al.Grey relational analysis on influence factors of tunnel blastingvibration[J].Chian Safety Science Journal,2011,21(6):65-71.
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[2]胡明文.数据挖掘在建筑结构可靠性鉴定中的应用[D].西安:西安建筑科技大学,2005.HU Ming-wen.Study on the Application of Data Mining in the Reliability Evaluation of Structures[D].Xi’an:Xi’anUniversity of Architecture and Technology,2005.
[3]Rudd.JL,Yang.LN,Manning.SD,et,al.Damage assessment of mechanically fastened joints in the small crack sizerange[A].U.S.National Congress of Applied Mechanics[C],1982:329-338.
[4]欧进萍,刘学东,王光远.现役结构安全度评估的环境荷载标准研究[J].工业建筑,1995,25(8):11-16.OU Jin-ping,LIU Xue-dong,WANG Guang-yuan.Study on the environmental load critieria of existing structure safety eva-lution[J].Industrial Construction,1995,25(8):11-16.
[5]J.T.P.Yao,Damage assessment and reliability of existing structures[J].Engineering Structure,1979,1(5):245-251.
[6]Karen C.Chou,Jie Yuan.Fuzzy-bayesian approach to reliability of existing structure[J].Journal of Structure Engineer-ing,1993,119(11):3 276-3 290.
[7]王光远.地震烈度的模糊综合评定及其在抗震结构设计中的应用[J].地震工程与工程振动,1982,2(4):17-25.WANG Guang-yuan.Fuzzy synthetic evaluation of earthquake intensity and its application to structural design[J].Earth-quake Engineering and Engineering Vibration,1982,2(4):17-25.
[8]陈守煜.可变模糊集量变与质变判据模式及其应[J].系统工程与电子技术,2008,30(20):1 799-1 882.CHEN Shou-yu.Quantity change and quality change criterion models of variable fuzzy sets theory and their application[J].Systems Engineering and Electronics,2008,30(20):1 799-1 882.
[9]佟明岩.在役钢筋混凝土结构可靠度评估的模糊类比法[D].北京:北京工业大学,2000.TONG Ming-yan.Fuzzy Analog Method of Reliability Evaluation of Existing Reinforced Concrete Structures[D].Beijing:Beijing University of Technology,2000.
[10]陈守煜.可变模糊集理论与模型及应用[M].大连:大连理工大学出版社,2009.CHEN Shou-yu.Theory and Model of Variable Fuzzy Sets and Its Application[M].Dalian:Dalian University of TechnologyPress,2009.
[11]邓聚龙.灰色系统理论教程[M].武汉:华中理工大学出版社,1990.DENG Ju-long.The Grey System Theory Tutorial[M].Wnhan:Huazhong University of Science and TechnologyPress,1990.
[12]GB50068—2001.建筑结构可靠度设计统一标准[S].GB50068—2001.Unified Standard for Reliability Design of Building Structures[S].
[13]陈守煜.系统模糊决策理论与应用[M].大连:大连理工大学出版社,1994.CHEN Shou-yu.Theory of Systematic Fuzzy Decision and Its Application[M].Dalian:Dalian University of TechnologyPress,1994.
[14]曹明霞.灰色关联分析模型及其应用的研究[D].南京:南京航空航天大学,2007.CAO Ming-xia.Research on Grey Incidence Analysis Model and Its Application[D].Nanjing:Nanjing University ofAeronautics and Astronautics,2007.
[15]李洪兴.工程模糊数学方法及其应用[M].天津:天津科学技术出版社,1993.XIE Hong-xing.Fuzzy Mathematical Method and Its Application[M].Tianjin:Tianjing Science and TechnologyPress,1993.
[16]邓聚龙.灰色系统基本方法[M].武汉:华中科技大学出版社,2005.DENG Ju-long.Primary Mothods of Grey System Theory[M].Wnhan:Huazhong University of Science and TechnologyPress,2005.
[17]张俊芝.服役工程结构可靠性理论及其应用[M].北京:中国水利水电出版社,2007.ZHANG Jun-zhi.Reliability Theory and Its Application of the Existing Engineering Structures[M].Beijing:China WaterConservancy and Hydropower Press,2007.
[18]郑怡.既有结构构件可靠性研究与应用[D].大连:大连理工大学,2009.ZHENG Yi.Study and Application for Reliability of Existing Structure Members[D].Dalian:Dalian University of Tech-nology,2009.
[19]GB50010—2002.混凝土结构设计规范[S].GB50010—2002.Code for Design of Concrete Structures[S].
[20]Banafsheh Zahraie,Mehdi Tavakolan.Stochastic time-cost-resource utilization optimization using nondominated sorting geneticalgorithm and discrete fuzzy sets[J].Journal of Construction Engineering and Management,2009,135(11):1 126-1 171.
[21]杨珊,陈建宏,郭宏斌,等.隧道爆破振动影响因素的灰色关联分析[J].中国安全科学学报,2011,21(6):65-71.YANG Shan,CHEN Jian-hong,GUO Hong-bin,et al.Grey relational analysis on influence factors of tunnel blastingvibration[J].Chian Safety Science Journal,2011,21(6):65-71.
[22]哈莉娅.达力列汗.荷载与结构可靠度[M].乌鲁木齐:新疆大学出版社,2009.Ha-li-ya.DALILIEHAN.Load and Structural Reliability[M].Urumqi:Xinjiang University Press,2009.
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