基于整体刚度的独塔地锚式PC斜拉桥参数分析
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摘要
为研究独塔地锚式预应力混凝土斜拉桥参数变化对结构整体刚度的影响,借鉴双塔自锚及部分地锚式斜拉桥塔顶偏位解析计算方法,结合锚索分散和斜塔的结构特点,推导表征结构整体刚度的塔顶水平偏位计算公式,并以某背景工程进行了计算精度验证,分析塔柱倾角、地锚背索倾角、背索截面积和塔柱刚度参数对结构整体刚度的影响.研究表明,与整体刚度逆相关的是塔柱倾角和地锚背索倾角,整体刚度对塔柱倾角更加敏感;与整体刚度正相关的是背索截面积和塔柱刚度,整体刚度对背索截面积的敏感性明显高于塔柱刚度.当结构整体刚度需要调整时,应依次改变塔柱倾角、地锚背索倾角和地锚背索截面积,忽略塔柱刚度的影响.
Referencing the analytical calculation method of the pylon top horizontal displacement for double pylon self-anchored and partly earth-anchored cable-stayed bridge and combining the structural characteristics of dispersed cables and inclined pylon,we deduce the calculation formula of pylon top horizontal displacement of the structural integral rigidity in order to obtain the influence of variations of the parameters of single pylon earth-anchored PC cable-stayed bridge on the structure integral rigidity. The calculation precision is verified based on a background project,and the effects of pylon inclination,back cable inclination of anchor,cross section area and pylon rigidity on the integral rigidity are analyzed. The integral rigidity has negative correlation with pylon inclination and back cable inclination of anchor,more sensitive to pylon inclination. And the integral rigidity has positive correlation with back cable cross section area and pylon rigidity,obviously more sensitive to back cable cross section area.Therefore,pylon inclination,inclination and cross section area of back cable should be changed in turn when the integral rigidity needs to be adjusted.Meanwhile,the effect of pylon rigidity should be ignored.
Referencing the analytical calculation method of the pylon top horizontal displacement for double pylon self-anchored and partly earth-anchored cable-stayed bridge and combining the structural characteristics of dispersed cables and inclined pylon,we deduce the calculation formula of pylon top horizontal displacement of the structural integral rigidity in order to obtain the influence of variations of the parameters of single pylon earth-anchored PC cable-stayed bridge on the structure integral rigidity. The calculation precision is verified based on a background project,and the effects of pylon inclination,back cable inclination of anchor,cross section area and pylon rigidity on the integral rigidity are analyzed. The integral rigidity has negative correlation with pylon inclination and back cable inclination of anchor,more sensitive to pylon inclination. And the integral rigidity has positive correlation with back cable cross section area and pylon rigidity,obviously more sensitive to back cable cross section area.Therefore,pylon inclination,inclination and cross section area of back cable should be changed in turn when the integral rigidity needs to be adjusted.Meanwhile,the effect of pylon rigidity should be ignored.
引文
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[20]赵晓晋,贺拴海,胡文亮,等.独塔部分地锚式PC斜拉桥经济及设计参数研究[J].河海大学学报自然科学版,2017,45(2):145-152.ZHAO Xiaojin,HE Shuanhai,HU Wenliang,et al.Cost and design parameter of partially earth-anchored PC cablestayed bridge with single pylon[J].Journal of Hohai University Natural Sciences,2017,45(2):145-152.(in Chinese)
[21]赵晓晋.独塔地锚PC斜拉桥结构参数及体系研究[D].西安:长安大学,2017.ZHAO Xiaojin.Study on the structural parameters and system of single pylon earth-anchored PC cable-stayed bridge[D].Xi'an:Chang'an University,2017.(in Chinese)
[2]WANG Hao,CHEN Chunchao,XING Chenxi,et al.Influence of structural parameters on dynamic characteristics and wind-induced buffeting responses of a super-longspan cable-stayed bridge[J].Earthquake Engineering and Engineering Vibration,2014,13(3):389-399.
[3]GIMSING N J,GEORGAKIS C T.Cable supported bridges:concept and design[M].Chichester,UK:Wiley,2012.
[4]JIN Zhibin,PEI Shilin,WEI Xing,et al.Partially earth-anchored cable bridge:ultralong-span system suitable for carbon-fiber-reinforced plastic cables[J].Journal of Bridge Engineering,2016,21(6):06016003.
[5]肖汝成,卫璞,孙斌.大跨度部分地锚斜拉桥力学分析与参数研究[J].东南大学学报自然科学版,2013,43(5):1097-1103.XIAO Rucheng,WEI Pu,SUN Bin.Mechanical analysis and parametric study of long-span partially earth-anchored cable-stayed bridge[J].Journal of Southeast University Natural Science,2013,43(5):1097-1103.(in Chinese)
[6]夏睿杰,贾丽君.部分地锚斜拉桥结构参数分析[J].城市道桥与防洪,2012(8):326-330.XIA Ruijie,JIA Lijun.Structure parameter analysis of partial earth-anchored cable-stayed bridges[J].Urban Roads Bridges&Flood Control,2012(8):326-330.(in Chinese)
[7]ZHANG Liwen,XIAO Rucheng,XIA Ruijie.Mechanical analysis and study on structural parameter of partially earth-anchored cable-stayed bridge part I:mechanical analysis[J].Applied Mechanics&Materials,2010,44/45/46/47:1898-1905.
[8]ZHANG Liwen,XIAO Rucheng,XIA Ruijie.Mechanical analysis and study on structural parameter of partially earth-anchored cable-stayed bridge part II:parametric study[J].Applied Mechanics and Materials,2010,44/45/46/47:1906-1912.
[9]SUN Bin,CHENG Jin,XIAO Rucheng.Preliminary design and parametric study of 1 400 m partially earthanchored cable-stayed bridge[J].Science China Technological Sciences,2010,53(2):502-511.
[10]ZHANG Liwen,XIA Ruijie.The reasonable finished dead state research of partially earth-anchored cable-stayed bridge[J].Advanced Materials Research,2011,255/256/257/258/259/260:1319-1325.
[11]SUN Bin,XIAO Rucheng.Optimization of dead load state in earth-anchored cable-stayed bridges[J].Journal of Harbin Institute of Technology,2015(3):87-94.
[12]张力文,夏睿杰,肖汝诚,等.部分地锚式斜拉桥合理成桥状态二阶段确定法[J].深圳大学学报理工版,2012,29(1):51-55.ZHANG Liwen,XIA Ruijie,XIAO Rucheng,et al.The two-stage method to determine the reasonable completed status of partially earth-anchored cable-stayed bridge[J].Journal of Shenzhen University Science and Engineering,2012,29(1):51-55.(in Chinese)
[13]ZHANG Xinjun,YAO Mei.Numerical investigation on the wind stability of super long-span partially earth-anchored cable-stayed bridges[J].Wind&Structures International Journal,2015,21(4):407-424.
[14]孙海凌.超大跨径斜拉桥的结构体系及抗风稳定性研究[D].杭州:浙江工业大学,2013.SUN Hailing.Study on the wind stability of super longspan cable-stayed bridges[D].Hangzhou:Zhejiang University of Technology,2013.(in Chinese)
[15]姚美.超大跨度部分地锚式斜拉桥抗风性能研究[D].杭州:浙江工业大学,2015.YAO Mei.Study on the wind stability of super long-span partially ground-anchored cable-stayed bridges[D].Hangzhou:Zhejiang University of Technology,2015.(in Chinese)
[16]陈鑫,聂国隽,贾丽君,等.部分地锚斜拉桥自振频率的近似计算[J].力学季刊,2013,34(4):650-655.CHEN Xin,NIE Guojun,JIA Lijun,et al.Approximate calculation of nature frequency of partially earth-anchored cable-stayed bridges[J].Chinese Quarterly of Mechanics,2013,34(4):650-655.(in Chinese)
[17]孙斌,肖汝成,CAI C S.部分地锚斜拉桥经济性能分析[J].同济大学学报自然科学版,2013,41(10):1476-1482.SUN Bin,XIAO Rucheng,CAI C S.Cost analysis of partially earth-anchored cable-stayed bridge[J].Journal of Tongji University Natural Science,2013,41(10):1476-1482.(in Chinese)
[18]吴万忠,张杨永,孙斌,等.自锚式双塔斜拉桥的力学参数研究[J].同济大学学报自然科学版,2014,42(1):19-24.WU Wanzhong,ZHANG Yangyong,SUN Bin,et al.Study on mechanical parameters of self-anchored doubletower cable-stayed bridges[J].Journal of Tongji University Natural Sciences,2014,42(1):19-24.(in Chinese)
[19]赵晓晋,王凌波,沈传东,等.某独斜塔地锚式预应力混凝土(PC)斜拉桥塔柱倾角优化分析[J].北京工业大学学报,2017,43(2):261-268.ZHAO Xiaojin,WANG Lingbo,SHEN Chuandong,et al.Pylon inclination optimized analysis of one single inclined pylon earth-anchored prestressed concrete(PC)cablestayed bridge[J].Journal of Beijing University of Technology,2017,43(2):261-268.(in Chinese)
[20]赵晓晋,贺拴海,胡文亮,等.独塔部分地锚式PC斜拉桥经济及设计参数研究[J].河海大学学报自然科学版,2017,45(2):145-152.ZHAO Xiaojin,HE Shuanhai,HU Wenliang,et al.Cost and design parameter of partially earth-anchored PC cablestayed bridge with single pylon[J].Journal of Hohai University Natural Sciences,2017,45(2):145-152.(in Chinese)
[21]赵晓晋.独塔地锚PC斜拉桥结构参数及体系研究[D].西安:长安大学,2017.ZHAO Xiaojin.Study on the structural parameters and system of single pylon earth-anchored PC cable-stayed bridge[D].Xi'an:Chang'an University,2017.(in Chinese)