为指导多塔悬索桥初步设计时参数取值,提出了一种多塔悬索桥中塔主缆与鞍座抗滑安全系数的解析计算方法。将主缆在纵桥向等效为一系列弹簧,通过研究最不利加载工况下活载引起的桥塔两侧主缆内力变化,给出了鞍座两侧主缆松紧比的解析公式,并据此求得主缆抗滑安全系数。建立四塔及五塔有限元模型对提出的公式进行了验证,给出了通过恒活载比值、主缆垂跨比确定桥塔刚度上限的图表,分析了桥塔刚度、恒活载比值以及主缆垂跨比等设计参数对主缆抗滑安全性的影响。结果表明:采用提出的公式计算主缆鞍座抗滑安全系数精度较高;活载与恒载比值、塔缆刚度比值对抗滑稳定性影响较大,垂跨比对于主缆抗滑的影响取决于桥塔刚度。
Abstract
In order to guide the preliminary design of multi-tower suspension bridge in selecting parameter values, an analytic method for calculating safety factor of main cable slip on saddle was proposed. The main cables were equivalent to a series of springs in longitudinal direction. Analytic formula was deduced for calculating ratio of cable tension on both sides of the tower through investigating the internal force change of the main cable brought by live load under the most unfavorable load case, so the anti-slip safety factor of main cable can be obtained. The FE models of suspension bridges with four towers and five towers were established to verify the proposed formula. Some charts used for determining upper limit of stiffness of the bridge tower were given through sag-to-span ratio and ratio of live load to dead load. The influences of tower rigidity, sag-to-span ratio as well as ratio of live load to dead load on cable sliding stability were analyzed. The results show that the proposed method has a satisfied accuracy in calculating anti-slip safety factor of main cable on saddle, the ratio of live load to dead load and ratio of tower rigidity to cable stiffness have great influence on anti-slip stability of the main cable, and the effect of sag-to-span ratio on cable sliding depends on the tower rigidity.
关键词
桥梁工程 /
多塔悬索桥 /
解析方法 /
主缆 /
抗滑 /
安全系数
{{custom_keyword}} /
Key words
bridge engineering /
multi-tower suspension bridge /
analytic method /
main cable /
anti-slip /
safety factor
{{custom_keyword}} /
中图分类号：
U448.25
{{custom_clc.code}}
({{custom_clc.text}})
{{custom_sec.title}}
{{custom_sec.title}}
{{custom_sec.content}}
参考文献
[1] 阮静,吉林,祝金鹏.三塔悬索桥中塔结构选型分析[J].山东大学学报:工学版,2008,38(2):106-111. RUAN Jing,JI Lin,ZHU Jin-peng.Structure Style Selection of the Mid-tower of a Three-tower Suspension Bridge[J].Journal of Shandong University:Engineering Science,2008,38(2):106-111.
[2] 万田保,杨进.三塔两跨悬索桥2个重要的技术指标和中塔疲劳验算加载模式[J].世界桥梁,2008(1):8-10,27. WAN Tian-bao,YANG Jin.Two Important Technical Indices and Loading Mode for Fatigue Check Calculation of Intermediate Tower of Three-tower and Two-span Suspension Bridge[J].World Bridge,2008(1):8-10,27.
[3] TAKENA K,SASAKI M,HATA K,et al.Slip Behavior of Cable Against Saddle in Suspension Bridges[J].Journal of Structural Engineering,1992,118(2):377-391.
[4] HASEGAWA K,KOJIMA H,SASAKI M,et al.Frictional Resistance Between Cable and Saddle Equipped with Friction Plate[J].Journal of Structural Engineering,1995,121(1):1-14.
[5] FORSBERG T. Multi-span Suspension Bridges[J].International Journal of Steel Structures,2001,1(1):63-73.
[6] 吉林,陈策,冯兆祥.三塔悬索桥中塔主缆与鞍座间抗滑移试验研究[J].公路,2007(6):1-6. JI Lin,CHEN Ce,FENG Zhao-xiang.A Study on Slip Resistance Between Main Cable and Saddle on Middle Tower of Three-tower Suspension Bridge[J].High-way,2007(6):1-6.
[7] 张清华,李乔.悬索桥主缆与鞍座间摩擦特性试验研究[J].土木工程学报,2013,46(4):85-92. ZHANG Qing-hua,LI Qiao.Study on Cable-saddle Frictional Characteristics of Long-span Suspension Bridge[J].China Civil Engineering Journal,2013,46(4):85-92.
[8] 张清华,李乔,周凌远.悬索桥主缆与鞍座摩擦特性理论分析方法[J].中国公路学报,2014,27(1):44-50. ZHANG Qing-hua,LI Qiao,ZHOU Ling-yuan.Theoretical Analysis of Cable-saddle Friction Characteristics for Suspension Bridge[J].China Journal of Highway and Transport,2014,27(1):44-50.
[9] 姜洋,肖汝诚,李扬,等.多塔悬索桥主缆与鞍座滑动失稳临界跨径[J].同济大学学报:自然科学版,2012,40(3):331-337. JIANG Yang,XIAO Ru-cheng,LI Yang,et al.Critical Span for Anti-slip Stability Between Main Cable and Saddle of Multi-span Suspension Bridges[J].Journal of Tongji University:Natural Science,2012,40(3):331-337.
[10] 陈策,钟建驰.三塔悬索桥垂跨比变化对结构静动力特性的影响[J].桥梁建设,2008(6):12-14,17. CHEN Ce,ZHONG Jian-chi.Influences of Sag-to-span Ratio Variation on Structural Static and Dynamic Behavior of Three-tower Suspension Bridge[J].Bridge Construction,2008(6):12-14,17.
[11] 陈策,钟建驰.三塔悬索桥关键设计参数对其结构行为的影响[J].世界桥梁,2008(2):10-12,22. CHEN Ce,ZHONG Jian-chi.Impact of Key Design Parameters of Three-tower Suspension Bridge on Structural Behavior of the Bridge[J].World Bridge,2008(2):10-12,22.
[12] 万田保.悬索桥主鞍座的几何位移特征及与总体布置的关系[J].桥梁建设,2003(3):28-31. WAN Tian-bao.Relationship Between Geometric Displacement and Overall Layout of Suspension Bridge Tower Saddles[J].Bridge Construction,2003(3):28-31.
[13] YOSHIDA O,OKUDA M,MORIYA T.Structural Characteristics and Applicability of Four-span Suspension Bridge[J].Journal of Bridge Engineering,2004,9(5):453-463.
[14] 柴生波,肖汝诚,张学义,等.多跨悬索桥中塔纵向刚度研究[J].中国公路学报,2012,25(2):67-71. CHAI Sheng-bo,XIAO Ru-cheng,ZHANG Xue-yi,et al.Study of Longitudinal Stiffness of Middle Pylon in Multi-span Suspension Bridge[J].China Journal of Highway and Transport,2012,25(2):67-71.
[15] CHOI D H,GWON S G,NA H S.Simplified Analysis for Preliminary Design of Towers in Suspension Bridge[J].Journal of Bridge Engineering,2014,19(3):1-12.
[16] 王文义,秦立斌.大跨径预应力混凝土连续刚构桥施工监控研究[J].筑路机械与施工机械化,2013,30(9):83-86. WANG Wen-yi,QIN Li-bin.Study on Monitoring of Construction of Long-span Prestressed Concrete Continuous Rigid-framed Bridge[J].Road Machinery & Construction Mechanization,2013,30(9):83-86.
[17] 柴生波,王秀兰,肖汝诚.悬索桥主缆纵桥向约束刚度研究[J].中国公路学报,2015,28(8):59-66. CHAI Sheng-bo,WANG Xiu-lan,XIAO Ru-cheng.Study on Longitudinal Restraint Stiffness of Main Cable in Suspension Bridge[J].China Journal of Highway and Transport,2015,28(8):59-66.
{{custom_fnGroup.title_cn}}
脚注
{{custom_fn.content}}
基金
国家重点基础研究发展计划("九七三"计划)项目(2013CB036303);国家自然科学基金项目(51408484)
{{custom_fund}}
{{custom_fund}}
PDF全文下载(478 KB)
