桥式起重机主梁结构多源不确定性混合可靠性分析
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摘要
为了预测桥式起重机金属结构的可靠度,采用凸模型非概率研究桥式起重机的可靠性,在只知道不确定参量的界限而不知其分布情况的条件下,即可求得各功能函数的可靠度。针对起重机金属结构中存在的不确定性因素并不单一,且是随机性、模糊性和非概率不确定性共同作用的结果,首先基于凸模型计算单一变量的结构可靠度;然后基于主梁结构的加工尺寸、起重量、材料边界条件等不确定性,建立了以主梁金属结构强度、刚度、整体稳定性失效模式的凸模型非概率可靠性分析模型,通过混合可靠性模型求和计算,得到主梁结构的混合可靠度。该模型更加切合实际,从而推导出一种桥式起重机主梁金属结构的混合可靠性计算方法,也建立了一些适用于复杂工程问题的结构可靠性分析方法;最后基于凸模型,针对工程实际中大量存在的"未知但有界"参数的结构可靠性分析问题,通过数值算例验证该混合模型的有效性和实用性,对现有某型号桥式起重机主梁金属结构工况进行了混合模型可靠性分析,结果表明,该可靠性模型意义明确,对模糊信息的处理也比较合理,可作为混合可靠性计算方法的一种补充,用该方法得到的桥式起重机强度、刚度、稳定性混合模型可靠度符合实际情况。
The given paper is inlcined to study and predict the function reliability of the metallic structure of the bridge frame crane with the convex non-probabilistic method by which it is only necessary to know the boundaries of the uncertain parameters of the crane instead of its kinetic distribution.Besides,the multiple factors,such as the randomness,fuzziness and non-probabilistic uncertainty may all contribute to the uncertainties of the crane metallic structure.Therefore,we prefer to work out first of all the reliability of the frame structure of the crane by means of the model on account of merely the single parameter based on the convex model.And,secondly,efforts should be turned to establish a convex non-probabilistic reliability analysis model for the failure modes of strength,solidability and the overall stability of the main beam structure,the hybrid reliability of the main beam structure by using a mixed reliability model based on the uncertainty of the size,hoisting and material boundary conditions of the principal beam structure.In so doing,we can deduce the derivation of the hybrid reliability calculation method for the main structure of the bridge girder as well as some structural reliability analysis methods to solve the complicated engineering problems.And,finally,based on the convex set model and space-filling design,we have successflly created a non-probabilistic reliability analysis method for the structure with the"unknown but bounded"parameters,and in turn verified the effectiveness and practicability of the proposed hybrid model based on the numerical simulation samples so as to conduct the hybrid model reliability analysis of girder metal structure of the certain currently existing bridge crane.The result of our reliability analysis of such structure shows that the hybrid reliability model proposed here in this paper can be used as a supplement to the previous methods,for it has a more definite and clear-cut meaning with the definite reasonability to deal with fuzzy items of information.In addition,it is also possible to obtain the hybrid model reliability of the strength,solidability and stability of the bridge crane under study through the afforementioned method.And,in turn,the results of the hybrid reliability model proves to be in line with the actual situation,through comparison in terms of feasibility and rationality.Thus,the results of the given research can provide evidence for the main beam structure design and supply some beneficial references to the designers in the area.
The given paper is inlcined to study and predict the function reliability of the metallic structure of the bridge frame crane with the convex non-probabilistic method by which it is only necessary to know the boundaries of the uncertain parameters of the crane instead of its kinetic distribution.Besides,the multiple factors,such as the randomness,fuzziness and non-probabilistic uncertainty may all contribute to the uncertainties of the crane metallic structure.Therefore,we prefer to work out first of all the reliability of the frame structure of the crane by means of the model on account of merely the single parameter based on the convex model.And,secondly,efforts should be turned to establish a convex non-probabilistic reliability analysis model for the failure modes of strength,solidability and the overall stability of the main beam structure,the hybrid reliability of the main beam structure by using a mixed reliability model based on the uncertainty of the size,hoisting and material boundary conditions of the principal beam structure.In so doing,we can deduce the derivation of the hybrid reliability calculation method for the main structure of the bridge girder as well as some structural reliability analysis methods to solve the complicated engineering problems.And,finally,based on the convex set model and space-filling design,we have successflly created a non-probabilistic reliability analysis method for the structure with the"unknown but bounded"parameters,and in turn verified the effectiveness and practicability of the proposed hybrid model based on the numerical simulation samples so as to conduct the hybrid model reliability analysis of girder metal structure of the certain currently existing bridge crane.The result of our reliability analysis of such structure shows that the hybrid reliability model proposed here in this paper can be used as a supplement to the previous methods,for it has a more definite and clear-cut meaning with the definite reasonability to deal with fuzzy items of information.In addition,it is also possible to obtain the hybrid model reliability of the strength,solidability and stability of the bridge crane under study through the afforementioned method.And,in turn,the results of the hybrid reliability model proves to be in line with the actual situation,through comparison in terms of feasibility and rationality.Thus,the results of the given research can provide evidence for the main beam structure design and supply some beneficial references to the designers in the area.
引文
[1]YANG Ruigang(杨瑞刚),DUAN Zhibin(段治斌),XU Gening(徐格宁),et al.The test method of large bridge crane structure safety evaluation based on similarity theory[J].Journal of Safety and Environment(安全与环境学报),2014,14(2):94-97.
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[3]WANG Jun(王军),QIU Zhiping(邱志平).Structural probabilitynon-probabilistic hybrid reliability model[J].Acta Aerospace Sinica(航空学报),2009,30(8):1398-1404.
[4]NI Zao(尼早),QIU Zhiping(邱志平).Probabilistic-fuzzy-nonprobabilistic hybrid reliability analysis of structural systems[J].Journal of Nanjing University of Aeronautics and Astronautics(南京航天航空学报),2010,42(3):272-277.
[5]BEN-HAIM Y.A non-probabilistic concept of reliability[J].Structural Safety,1994,14(4):227-245.
[6]ELISHAKOFF I.Discussion on:a non-probabilistic concept of reliability[J].Structural Safety,1995,17(3):195-199.
[7]LZhenzhou(吕震宙),QIAO Xinzhou(乔心州).New sructural pobabilistic and non-probzbilistic hybrid reliability model[J].Mechanical Strength(机械强度),2012,34(6):823-827.
[8]MEHMET L K,CAN E B.Reliability analysis of a rubble mound breakwater using the theory of fuzzy random variables[J].Applied Ocean Research,2012,39(9):83-88.
[9]PENMETSA R C,GRANDHI R V.Efficient estimation of structural reliability for problems with uncertain intervals[J].Computers and Structures,2002,80(12):1103-1112.
[10]QU Zhenfu(屈政福),SUN Qi(孙奇).Evaluation of buckling reliability of truck crane based on probabilistic-non-probabilistic hybrid model and bayesian network[J].Mechanical Strength(机械强度),2015,37(1):74-78.
[11]XU Gening(徐格宁).Metal structure design of mechanical equipment(机械装备金属结构设计)[M].Beijing:Machinery Industry Press,2009.
[12]WANG Xiaojun(王晓军),WANG Lei(王磊),QIU Zhiping(邱志平).Non probabilistic set theory for structural reliability analysis and optimization design(结构可靠性分析与优化设计的非概率集合理论)[M].Beijing:Science Press,2016:96-99.
[2]XU Gening(徐格宁),WANG Jianhua(王建华),YANG Ruigang(杨瑞刚).Simulated model for tracing the crack propagation path of the welding structures in the overhead-operating crane[J].Journal of Safety and Environment(安全与环境学报),2012,12(4):207-211.
[3]WANG Jun(王军),QIU Zhiping(邱志平).Structural probabilitynon-probabilistic hybrid reliability model[J].Acta Aerospace Sinica(航空学报),2009,30(8):1398-1404.
[4]NI Zao(尼早),QIU Zhiping(邱志平).Probabilistic-fuzzy-nonprobabilistic hybrid reliability analysis of structural systems[J].Journal of Nanjing University of Aeronautics and Astronautics(南京航天航空学报),2010,42(3):272-277.
[5]BEN-HAIM Y.A non-probabilistic concept of reliability[J].Structural Safety,1994,14(4):227-245.
[6]ELISHAKOFF I.Discussion on:a non-probabilistic concept of reliability[J].Structural Safety,1995,17(3):195-199.
[7]LZhenzhou(吕震宙),QIAO Xinzhou(乔心州).New sructural pobabilistic and non-probzbilistic hybrid reliability model[J].Mechanical Strength(机械强度),2012,34(6):823-827.
[8]MEHMET L K,CAN E B.Reliability analysis of a rubble mound breakwater using the theory of fuzzy random variables[J].Applied Ocean Research,2012,39(9):83-88.
[9]PENMETSA R C,GRANDHI R V.Efficient estimation of structural reliability for problems with uncertain intervals[J].Computers and Structures,2002,80(12):1103-1112.
[10]QU Zhenfu(屈政福),SUN Qi(孙奇).Evaluation of buckling reliability of truck crane based on probabilistic-non-probabilistic hybrid model and bayesian network[J].Mechanical Strength(机械强度),2015,37(1):74-78.
[11]XU Gening(徐格宁).Metal structure design of mechanical equipment(机械装备金属结构设计)[M].Beijing:Machinery Industry Press,2009.
[12]WANG Xiaojun(王晓军),WANG Lei(王磊),QIU Zhiping(邱志平).Non probabilistic set theory for structural reliability analysis and optimization design(结构可靠性分析与优化设计的非概率集合理论)[M].Beijing:Science Press,2016:96-99.