竖向地震下大跨径CFRP悬索水平张力增量研究
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摘要
为研究竖向地震作用下大跨径碳素纤维复合材料(CFRP)悬索的水平张力增量随跨径和垂跨比的变化,基于线性自由振动理论推导了悬索强迫振动方程,进一步得到了用于近似求解张力增量的振动参数αn,采用极限设计原则计算两种桥型的CFRP悬索静力参数,通过αn研究水平张力增量的变化。研究表明:CFRP悬索跨径变化对αn几乎不影响,而垂跨比对αn影响非常大。当不考虑背索时,二阶振型所产生的张力增量为悬索张力增量的主要贡献;当考虑背索时,主要由一、二阶振型控制悬索张力增量的变化。
In order to study the variation of the horizontal additional tension of the large-span CFRP cable under the ver-tical seismic action with the change of the span and sag-span ratio, aforced vibration equation for a suspended cable isderived based on the linear free vibration theory. Further more, a vibration mode parameterαnis obtained for the approx-imate analysis of the additional tension. The calculation of the parameterαnwhich is used to research the variation of thehorizontal additional tension is based on the static parameter, calculated by limit design principle, of the CFRP suspen-ded cable for two kinds of suspension bridge. The result demonstrateed that the change of the span of CFRP cable hadhardly influence on the parameterαnand a small change of the sag-span ratio obviously affectsαn, The second vibrationmode was the main mode contributing to additional tension of suspended cable for the situation without the backstay. Inaddition, with the increase of the sag, the third mode should be considered also for its contribution to the additional ten-sion. When the suspended cable had the backstay, the first two modes contributed the majority of the additional tension.However the contributions were affected by the sag ratios.
In order to study the variation of the horizontal additional tension of the large-span CFRP cable under the ver-tical seismic action with the change of the span and sag-span ratio, aforced vibration equation for a suspended cable isderived based on the linear free vibration theory. Further more, a vibration mode parameterαnis obtained for the approx-imate analysis of the additional tension. The calculation of the parameterαnwhich is used to research the variation of thehorizontal additional tension is based on the static parameter, calculated by limit design principle, of the CFRP suspen-ded cable for two kinds of suspension bridge. The result demonstrateed that the change of the span of CFRP cable hadhardly influence on the parameterαnand a small change of the sag-span ratio obviously affectsαn, The second vibrationmode was the main mode contributing to additional tension of suspended cable for the situation without the backstay. Inaddition, with the increase of the sag, the third mode should be considered also for its contribution to the additional ten-sion. When the suspended cable had the backstay, the first two modes contributed the majority of the additional tension.However the contributions were affected by the sag ratios.
引文
[1]齐玉军,冯鹏,叶列平.索与钢索的求解计算和极限跨度[J].土木建筑与环境工程,2011,33(4):52-59.Qi Y J,Feng P,Ye L P.Comparison of theoretical solutions andultimate span-length between FRP cables and steel cables[J].Journal of Civil,Architectural&Environmental Engineering,2011,33(4):52-59.
[2]刘荣桂,李成绩,蒋峰,等.碳纤维斜拉索的静力参数特性分析[J].哈尔滨工业大学学报,2008,40(4):615-619.Liu R G,Li C J,Jiang F,et al.Characteristic analysis of CFRPcables in static parameters[J].Journal of Harbin Institute ofTechnology,2008,40(4):615-619.
[3]刘荣桂,李成绩,龚向华,等.碳纤维斜拉索的动力参数特性分析[J].哈尔滨工业大学学报,2008,40(8):1284-1288.Liu R G,Li C J,Gong X H,et al.Analysis of dynamicproperties for CFRP stayed cables[J].Journal of Harbin Instituteof Technology,2008,40(8):1284-1288.
[4]成锋,杨溢,杨健,等.超大跨碳纤维索桁桥的静动力性能研究[J].中外公路,2008,28(4):113-116.Cheng F,Yang Y,Yang J,et al.Analysis of static and dynamicproperties for super-long span CFRP cable truss bridge[J].Journal of China&Foreign Highway,2008,28(4):113-116.
[5]王策.超大跨径缆索悬索桥力学性能分析及优化设计[D].西安:长安大学,2011.Wang C.Mechanical properties analysis and optimum design ofthe super-span suspension bridge with CFRP cables[D].Xi′an:Chang′an University,2011.
[6]郑宏宇,梅葵花,吕志涛.缆索体系悬索桥的优势及可行性研究[J].桥梁建设,2006(4):7-10.Zheng H Y,Mei K H,Lu Z T.Research of advantages and feasi-bility of suspension bridge to be used with CFRP cable system[J].Bridge Construction,2006(4):7-10.
[7]张新军,应磊东.应用索的缆索承重桥梁抗风稳定性研究[J].公路,2007(7):38-42.Zhang X J,Ying L D.A study on wind stability of cable-supportedbridges using CFRP cables[J].Highway,2007(7):38-42.
[8]张新军,应磊东.应用碳纤维缆索的大跨度悬索桥抗风稳定性研究[J].土木工程学报,2006,39(12):79-118.Zhang X J,Ying L D.Wind stability of long-span suspensionbridges using carbon fiber reinforced polymer cables[J].ChinaCivil Engineering Journal,2006,39(12):79-118.
[9]李翠娟,童育强,刘明虎,等.超大跨径主缆悬索桥合理结构体系研究[J].中国铁道科学,2011(1):62-67.Li C J,Tong Y Q,Liu M H,et al.Study on the rational structuresystem for super large-span suspension bridge with CFRP maincables[J].China Railway Science,2011(1):62-67.
[10]李扬.大跨度缆索悬索桥的静力性能[J].重庆大学学报,2012,35(8):26-33.Li Y.Study on static mechanics of long span suspension bridgewith CFRP cable[J].Journal of Chongqing University,2012,35(8):26-33.
[11]李扬,肖汝诚.大跨度缆索悬索桥的抗风稳定性能[J].同济大学学报:自然科学版,2012,40(4):499-507.Li Y,Xiao R C.Wind resistance performance of long-span sus-pension bridges with CFRP cables[J].Journal of Tongji Universi-ty:Natural Science,2012,40(4):499-507.
[12]Irvine H M.Cable structures[M].New York:The MassachusettsInstitute of Technology Press,1981.
[13]Wang L B,Guo X Y,Mohammad Noori,et al.Free vibration a-nalysis of suspended super long span CFRP cables[J].Journal ofVibroengineering,2013,15(4):1844-1851.
[14]Enrique Luco J,Jose Trmo.Linear vertical vibrations ofsuspension bridges:A review of continuum models and some newresults[J].Soil Dynamics and Earthquake Engineering,2010,30:769-781.
[15]Clough R W,Joseph Penzien.Dynamics of structures[M].NewYork:McGraw-Hill,1993.
[2]刘荣桂,李成绩,蒋峰,等.碳纤维斜拉索的静力参数特性分析[J].哈尔滨工业大学学报,2008,40(4):615-619.Liu R G,Li C J,Jiang F,et al.Characteristic analysis of CFRPcables in static parameters[J].Journal of Harbin Institute ofTechnology,2008,40(4):615-619.
[3]刘荣桂,李成绩,龚向华,等.碳纤维斜拉索的动力参数特性分析[J].哈尔滨工业大学学报,2008,40(8):1284-1288.Liu R G,Li C J,Gong X H,et al.Analysis of dynamicproperties for CFRP stayed cables[J].Journal of Harbin Instituteof Technology,2008,40(8):1284-1288.
[4]成锋,杨溢,杨健,等.超大跨碳纤维索桁桥的静动力性能研究[J].中外公路,2008,28(4):113-116.Cheng F,Yang Y,Yang J,et al.Analysis of static and dynamicproperties for super-long span CFRP cable truss bridge[J].Journal of China&Foreign Highway,2008,28(4):113-116.
[5]王策.超大跨径缆索悬索桥力学性能分析及优化设计[D].西安:长安大学,2011.Wang C.Mechanical properties analysis and optimum design ofthe super-span suspension bridge with CFRP cables[D].Xi′an:Chang′an University,2011.
[6]郑宏宇,梅葵花,吕志涛.缆索体系悬索桥的优势及可行性研究[J].桥梁建设,2006(4):7-10.Zheng H Y,Mei K H,Lu Z T.Research of advantages and feasi-bility of suspension bridge to be used with CFRP cable system[J].Bridge Construction,2006(4):7-10.
[7]张新军,应磊东.应用索的缆索承重桥梁抗风稳定性研究[J].公路,2007(7):38-42.Zhang X J,Ying L D.A study on wind stability of cable-supportedbridges using CFRP cables[J].Highway,2007(7):38-42.
[8]张新军,应磊东.应用碳纤维缆索的大跨度悬索桥抗风稳定性研究[J].土木工程学报,2006,39(12):79-118.Zhang X J,Ying L D.Wind stability of long-span suspensionbridges using carbon fiber reinforced polymer cables[J].ChinaCivil Engineering Journal,2006,39(12):79-118.
[9]李翠娟,童育强,刘明虎,等.超大跨径主缆悬索桥合理结构体系研究[J].中国铁道科学,2011(1):62-67.Li C J,Tong Y Q,Liu M H,et al.Study on the rational structuresystem for super large-span suspension bridge with CFRP maincables[J].China Railway Science,2011(1):62-67.
[10]李扬.大跨度缆索悬索桥的静力性能[J].重庆大学学报,2012,35(8):26-33.Li Y.Study on static mechanics of long span suspension bridgewith CFRP cable[J].Journal of Chongqing University,2012,35(8):26-33.
[11]李扬,肖汝诚.大跨度缆索悬索桥的抗风稳定性能[J].同济大学学报:自然科学版,2012,40(4):499-507.Li Y,Xiao R C.Wind resistance performance of long-span sus-pension bridges with CFRP cables[J].Journal of Tongji Universi-ty:Natural Science,2012,40(4):499-507.
[12]Irvine H M.Cable structures[M].New York:The MassachusettsInstitute of Technology Press,1981.
[13]Wang L B,Guo X Y,Mohammad Noori,et al.Free vibration a-nalysis of suspended super long span CFRP cables[J].Journal ofVibroengineering,2013,15(4):1844-1851.
[14]Enrique Luco J,Jose Trmo.Linear vertical vibrations ofsuspension bridges:A review of continuum models and some newresults[J].Soil Dynamics and Earthquake Engineering,2010,30:769-781.
[15]Clough R W,Joseph Penzien.Dynamics of structures[M].NewYork:McGraw-Hill,1993.
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