武汉杨泗港长江大桥成桥状态的统一悬链线计算方法
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摘要
针对采用分段悬链线法计算悬索桥主缆成桥状态的缺陷,以武汉杨泗港长江大桥主桥(主跨1 700m的钢桁梁双层悬索桥)为背景,提出一种新的悬索桥主缆成桥状态计算方法。该方法基于传统分段悬链线理论对索段进行受力分析,推导出全桥索段的统一悬链线方程,以主缆斜率最小点作为计算起始点,根据主缆线形与斜率的关系和变形相容条件建立方程,利用主缆张力的水平分力与垂度的变化规律求解方程。该方法能保证对平面悬索桥的缆索结构求解收敛。根据该方法编写程序对杨泗港长江大桥主桥主跨主缆的成桥状态进行分析,并与分段悬链线法的计算结果进行对比,结果表明该方法正确可行。该方法的计算结果已成功应用于杨泗港长江大桥主桥的设计中。
In view of the defects of calculating the main cables of the suspension bridges in completion state,using the segmental catenary method,the main bridge(a double-deck steel truss girder suspension bridge with the main span of 1 700 m)of Wuhan Yangsigang Changjiang River Bridge was cited as an example and a new method for calculating the main cables of the bridges was proposed.Based on the traditional segmented catenary theory,the force conditions of the main cable segments of the example bridge were analyzed,using the proposed new method and the unified catenary equation for the cable segments of the whole bridge of the bridge was deduced.The minimum point of the slope of a main cable of the bridge was taken as the starting point for the calculation.The corresponding equation was firstly established in terms of the relationship between the geometric shape and slope of the cable and also in terms of the deformation compatibility,the equation was then solved with reference to the changing laws of the horizontal components and sagging of the cable tension and the new method was able to guarantee the solution convergence of the main cable structures of the plane suspension bridges.With the method,the program was complied and the main cable over the main span of the bridge in completion state was calculated and analyzed and the calculations were compared to those of the traditional segmented catenary theory.The results reveal that the new method is correct and feasible and the calculations of the method have been finally successfully applied to the design of the main cables of the main bridge of the bridge.
In view of the defects of calculating the main cables of the suspension bridges in completion state,using the segmental catenary method,the main bridge(a double-deck steel truss girder suspension bridge with the main span of 1 700 m)of Wuhan Yangsigang Changjiang River Bridge was cited as an example and a new method for calculating the main cables of the bridges was proposed.Based on the traditional segmented catenary theory,the force conditions of the main cable segments of the example bridge were analyzed,using the proposed new method and the unified catenary equation for the cable segments of the whole bridge of the bridge was deduced.The minimum point of the slope of a main cable of the bridge was taken as the starting point for the calculation.The corresponding equation was firstly established in terms of the relationship between the geometric shape and slope of the cable and also in terms of the deformation compatibility,the equation was then solved with reference to the changing laws of the horizontal components and sagging of the cable tension and the new method was able to guarantee the solution convergence of the main cable structures of the plane suspension bridges.With the method,the program was complied and the main cable over the main span of the bridge in completion state was calculated and analyzed and the calculations were compared to those of the traditional segmented catenary theory.The results reveal that the new method is correct and feasible and the calculations of the method have been finally successfully applied to the design of the main cables of the main bridge of the bridge.
引文
[1]张成东,肖海珠,徐恭义.杨泗港长江大桥总体设计[J].桥梁建设,2016,46(2):81-85.(ZHANG Cheng-dong,XIAO Hai-zhu,XU Gong-yi.Overall Design of Yangsigang Changjiang River Bridge[J].Bridge Construction,2016,46(2):81-85.in Chinese)
[2]李传习.现代悬索桥静力非线性理论与实践[M].北京:人民交通出版社,2014.(LI Chuan-xi.Static Nonlinear Theory and Practice of Mordern Suspension Bridge[M].Beijing:China Communications Press,2014.in Chinese)
[3]柯红军.复杂悬索桥合理设计及合理施工状态确定(博士学位论文)[D].长沙:长沙理工大学,2014.(KE Hong-jun.Determining Reasonable Design State and Reasonable Construction State of Complex Suspension Bridge(Doctorate Dissertation)[D].Changsha:Changsha University of Science&Technology,2014.in Chinese)
[4]唐茂林,强士中,沈锐利.悬索桥成桥主缆线形计算的分段悬链线法[J].铁道学报,2003,25(1):88-91.(TANG Mao-lin,QIANG Shi-zhong,SHEN Rui-li.Segmental Catenary Method of Calculating the Cable Curve of Completed Suspension Bridge[J].Journal of the China Railway Society,2003,25(1):87-91.in Chinese)
[5]罗喜恒.悬索桥缆索系统的数值分析法[J].同济大学学报,2004,32(4):442-446.(LUO Xi-heng.Numerical Analysis Method for Cable Systems of Suspension Bridges[J].Journal of Tongji University,2004,32(4):442-446.in Chinese)
[6]许琳.悬索桥施工过程中缆索系统的精细模拟(硕士学位论文)[D].大连:大连理工大学,2013.(XU Lin.Accurate Simulation of Cable System in Construction Process of Suspension Bridge(Master Dissertation)[D].Dalian:Dalian University of Technology,2013.in Chinese)
[7]秦剑,夏拥军.基于分段悬链线理论的悬索分析矩阵迭代法[J].工程设计学报,2013,20(5):404-408.(QIN Jian,XIA Yong-jun.Matrix Iteration Method for Analysis of Suspension Cable Based on Segmental Catenary Theory[J].Chinese Journal of Engineering Design,2013,20(5):404-408.in Chinese)
[8]杨国俊.非对称悬索桥静力性能及动力特性分析(博士学位论文)[D].西安:长安大学,2016.(YANG Guo-jun.Analysis of Static Behavior and Dynamic Properties of Asymmetry Suspension Bridge(Doctorate Dissertation)[D].Xi′an:Chang′an University,2016.in Chinese)
[9]景天虎,李桅,李青宁,等.悬索桥主缆线形确定的常用精确解析算法比较及电算高效实现方法研究[J].西安建筑科技大学学报(自然科学版),2011,43(6):822-829.(JING Tian-hu,LI Wei,LI Qing-ning,et al.Comparison of Commonly Used Exact Analytic Algorithms for Determination of Main Cable Geometric Shape of Suspension Bridge and Research on Efficient Computational Method[J].Journal of Xi′an University of Architecture&Technology(Natural Science Edition),2011,43(6):822-829.in Chinese)
[10]肖勇刚,吴坤平.悬索桥成桥主缆线形计算研究[J].长沙理工大学学报(自然科学版),2007,4(4):33-38.(XIAO Yong-gang,WU Kun-ping.Determination of Main Cable Geometric Shape Under Dead Load State of Suspension Bridge[J].Journal of Changsha University of Science&Technology(Natural Science),2007,4(4):33-38.in Chinese)
[2]李传习.现代悬索桥静力非线性理论与实践[M].北京:人民交通出版社,2014.(LI Chuan-xi.Static Nonlinear Theory and Practice of Mordern Suspension Bridge[M].Beijing:China Communications Press,2014.in Chinese)
[3]柯红军.复杂悬索桥合理设计及合理施工状态确定(博士学位论文)[D].长沙:长沙理工大学,2014.(KE Hong-jun.Determining Reasonable Design State and Reasonable Construction State of Complex Suspension Bridge(Doctorate Dissertation)[D].Changsha:Changsha University of Science&Technology,2014.in Chinese)
[4]唐茂林,强士中,沈锐利.悬索桥成桥主缆线形计算的分段悬链线法[J].铁道学报,2003,25(1):88-91.(TANG Mao-lin,QIANG Shi-zhong,SHEN Rui-li.Segmental Catenary Method of Calculating the Cable Curve of Completed Suspension Bridge[J].Journal of the China Railway Society,2003,25(1):87-91.in Chinese)
[5]罗喜恒.悬索桥缆索系统的数值分析法[J].同济大学学报,2004,32(4):442-446.(LUO Xi-heng.Numerical Analysis Method for Cable Systems of Suspension Bridges[J].Journal of Tongji University,2004,32(4):442-446.in Chinese)
[6]许琳.悬索桥施工过程中缆索系统的精细模拟(硕士学位论文)[D].大连:大连理工大学,2013.(XU Lin.Accurate Simulation of Cable System in Construction Process of Suspension Bridge(Master Dissertation)[D].Dalian:Dalian University of Technology,2013.in Chinese)
[7]秦剑,夏拥军.基于分段悬链线理论的悬索分析矩阵迭代法[J].工程设计学报,2013,20(5):404-408.(QIN Jian,XIA Yong-jun.Matrix Iteration Method for Analysis of Suspension Cable Based on Segmental Catenary Theory[J].Chinese Journal of Engineering Design,2013,20(5):404-408.in Chinese)
[8]杨国俊.非对称悬索桥静力性能及动力特性分析(博士学位论文)[D].西安:长安大学,2016.(YANG Guo-jun.Analysis of Static Behavior and Dynamic Properties of Asymmetry Suspension Bridge(Doctorate Dissertation)[D].Xi′an:Chang′an University,2016.in Chinese)
[9]景天虎,李桅,李青宁,等.悬索桥主缆线形确定的常用精确解析算法比较及电算高效实现方法研究[J].西安建筑科技大学学报(自然科学版),2011,43(6):822-829.(JING Tian-hu,LI Wei,LI Qing-ning,et al.Comparison of Commonly Used Exact Analytic Algorithms for Determination of Main Cable Geometric Shape of Suspension Bridge and Research on Efficient Computational Method[J].Journal of Xi′an University of Architecture&Technology(Natural Science Edition),2011,43(6):822-829.in Chinese)
[10]肖勇刚,吴坤平.悬索桥成桥主缆线形计算研究[J].长沙理工大学学报(自然科学版),2007,4(4):33-38.(XIAO Yong-gang,WU Kun-ping.Determination of Main Cable Geometric Shape Under Dead Load State of Suspension Bridge[J].Journal of Changsha University of Science&Technology(Natural Science),2007,4(4):33-38.in Chinese)