几何非线性因素耦合作用下悬索管桥索结构的应力分布
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摘要
针对悬索管桥索结构体系的几何非线性行为,进行了耦合作用下索单元刚度矩阵的分析。在此基础上以某黄河悬索管桥为原型,建立了悬索管桥有限元仿真模型。通过找形计算确定了索结构的初始位置。并在正常运营的工况下对该管桥采取非线性有限元分析,得到主索、风索、下稳定索、吊索及系索五种索结构的应力分布规律;同时利用工程检测数据验证了所用理论、所建模型和模拟结果的正确性。研究结果表明:在正常运营的工况下,悬索管桥各个索的应力值都远小于其标准破坏强度1 570 MPa;主索、风索、下稳定索的轴向应力沿桥中心呈对称分布;吊索体系、系索体系的各对索的应力以各自的第27对索为中心,也呈对称分布;应力最大的系索不是第27对系索,而是其两侧附近的系索。
Aimed at the geometrical nonlinear behaviors of suspension pipeline bridge cable system,the stiffness matrix of the cable structure units under coupling effect is analyzed. On the basis of this,taking a Yellow-River suspension pipeline bridge as a prototype,a finite element simulation model of the suspension pipeline bridge is established. Through the form-finding calculations,the initial position of the cable structure model is determined.Furthermore,the nonlinear finite element analysis of the model is conducted under the normal operation of the suspension pipeline bridge. Five kinds of cable structures' stress distribution rules,namely the main cables',the wind cables',the stable cables',the slings' and the lanyards' are obtained. At the same time,the engineering test data of the suspension pipeline bridge is used to verify the correctness of the theory,the model and the simulation results. The results show that: in the normal operation condition,the stress values of each kind of suspension pipeline bridge cable structures are much smaller than their standard breaking strength of 1 570 MPa; the axial stress of the main cable,the wind cable and the stable cable show symmetrical distribution along the center of the bridge,and the stress of the sling system and the lanyard system are symmetrically distributed with the respective twenty-seventh pairs of cable as the center; for the lanyard system,the maximum stress does not appear on the twenty-seventh pairs of cable,but on the vicinity of its both sides.
Aimed at the geometrical nonlinear behaviors of suspension pipeline bridge cable system,the stiffness matrix of the cable structure units under coupling effect is analyzed. On the basis of this,taking a Yellow-River suspension pipeline bridge as a prototype,a finite element simulation model of the suspension pipeline bridge is established. Through the form-finding calculations,the initial position of the cable structure model is determined.Furthermore,the nonlinear finite element analysis of the model is conducted under the normal operation of the suspension pipeline bridge. Five kinds of cable structures' stress distribution rules,namely the main cables',the wind cables',the stable cables',the slings' and the lanyards' are obtained. At the same time,the engineering test data of the suspension pipeline bridge is used to verify the correctness of the theory,the model and the simulation results. The results show that: in the normal operation condition,the stress values of each kind of suspension pipeline bridge cable structures are much smaller than their standard breaking strength of 1 570 MPa; the axial stress of the main cable,the wind cable and the stable cable show symmetrical distribution along the center of the bridge,and the stress of the sling system and the lanyard system are symmetrically distributed with the respective twenty-seventh pairs of cable as the center; for the lanyard system,the maximum stress does not appear on the twenty-seventh pairs of cable,but on the vicinity of its both sides.
引文
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13韩大建,苏建华.一种确定预应力索网结构几何形状与索力的方法.工程力学,2005;22(3):107-111Han Dajian,Su Jianhua.A method for determination of shape and internal forces of cable-net structures.Engineering Mechanics,2005;22(3):107-111
14 Koohestani K.A computational framework for the form-finding and design of tensegrity structures.Mechanics Research Communications,2013;54:41-49
15 Hong A L,Ubertini F,Betti R.Wind analysis of a suspension bridge:identification and finite-element model simulation.Journal of Structural Engineering-ASCE,2011;137(1):133-142
16 Cumunel G,Delepine-Lesoille S,Argoul P,et al.Flexible continuously attached long gage fiber optic sensors(CA-FOS)as structures vibration analysis sensors.Mecanique&Industries,2007;8(6):515-527
17黄建忠,杨永和,刘伟,等.穿越地震断裂带的管道安全监测预警系统.天然气工业,2013;33(12):151-157Huang Jianzhong,Yang Yonghe,Liu Wei,et al.A safety monitoring and early-warning system for buried pipelines crossing seismic fault belts.Natural Gas Industry,2013;33(12):151-157
2胡建华,王连华,赵跃宇.索结构几何非线性分析的悬链线索单元法.湖南大学学报(自然科学版),2007;34(11):29-32Hu Jianhua,Wang Lianhua,Zhao Yueyu.A catenary cable element for the nonlinear analysis of cable structures.Journal of Hunan University(Natural Sciences),2007;34(11):29-32
3冉志红,李乔.斜拉索非线性振动的奇异摄动解法.西南交通大学学报,2006;41(3):355-359Ran Zhihong,Li Qiao.Singular perturbation method for solving nonlinear vibration of inclined cables.Journal of Southwest Jiaotong University,2006;41(3):355-359
4 Kiisa M,Idnurm J,Idnurm S.Discrete analysis of elastic cables.Baltic Journal of Road and Bridge Engineering,2012;7(2):98-103
5 Vairo G.A closed-form refined model of the cables'nonlinear response in cable-stayed structures.Mechanics of Advanced Materials and Structures,2009;16(6):456-466
6冯若强,武岳,沈世钊.单层平面索网结构非线性频率简化计算方法研究.工程力学,2007;24(10):87-91,155Feng Ruoqiang,Wu Yue,Shen Shizhao.Study on simplified calculation method of nonlinear frequency of single-layer cable net.Engineering Mechanics,2007;24(10):87-91,155
7杨孟刚,陈政清.两节点曲线索单元精细分析的非线性有限元法.工程力学,2003;20(1):42-47Yang Menggang,Chen Zhengqing.Nonlinear analysis of cable structures using a two-node curved cable element of high precision.Engineering Mechanics,2003;20(1):42-47
8洪灶明.超柔性悬索桥非线性静力及风振响应分析.武汉:武汉理工大学,2008Hong Zaoming.Geometric nonlinear static and wind-induced response analysis of flexible suspension bridges.Wuhan:Wuhan University of Technology,2008
9王恩青.悬索管桥的静力、清管及地震分析研究.北京:北京化工大学,2007Wang Enqing.Static,pigging and seismic analysis of the pipeline suspension bridge.Beijing:Beijing University of Chemical Technology,2007
10 Xia G Y,Cai C S.Equivalent stiffness method for nonlinear analysis of stay cables.Structural Engineering and Mechanics,2011;39(5):661-667
11 Cavdar O,Bayraktar A,Adanur S.Stochastic finite element analysis of a cable-stayed bridge system with varying material properties.Probabilistic Engineering Mechanics,2010;25(2):279-289
12李茂华,石磊彬,钟威,等.内外压热应力影响下西气东输二线长输管道变形的有限元分析.天然气工业,2013;33(8):119-124Li Maohua,Shi Leibin,Zhong Wei,et al.The finite element analysis and calculation of pipeline stress and strain under the effect of heat stress and internal or external pressure in the West-to-East China Gas PipelineⅡ.Natural Gas Industry,2013;33(8):119-124
13韩大建,苏建华.一种确定预应力索网结构几何形状与索力的方法.工程力学,2005;22(3):107-111Han Dajian,Su Jianhua.A method for determination of shape and internal forces of cable-net structures.Engineering Mechanics,2005;22(3):107-111
14 Koohestani K.A computational framework for the form-finding and design of tensegrity structures.Mechanics Research Communications,2013;54:41-49
15 Hong A L,Ubertini F,Betti R.Wind analysis of a suspension bridge:identification and finite-element model simulation.Journal of Structural Engineering-ASCE,2011;137(1):133-142
16 Cumunel G,Delepine-Lesoille S,Argoul P,et al.Flexible continuously attached long gage fiber optic sensors(CA-FOS)as structures vibration analysis sensors.Mecanique&Industries,2007;8(6):515-527
17黄建忠,杨永和,刘伟,等.穿越地震断裂带的管道安全监测预警系统.天然气工业,2013;33(12):151-157Huang Jianzhong,Yang Yonghe,Liu Wei,et al.A safety monitoring and early-warning system for buried pipelines crossing seismic fault belts.Natural Gas Industry,2013;33(12):151-157