边界条件对吊索索力估算的影响
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摘要
从Bernoulli-Euler理论出发,推导了吊索在一般边界条件下的自由振动频率方程和索力的解析表达式,分析了边界条件对吊索自振频率的影响,并与有限元结果进行了比较。结果表明,边界条件对吊索索力估算的影响不可忽略。
According to the Bernoulli-Euler theory,the natural frequency equation and the explicit expression of the suspender tension with common boundary conditions were deduced taking into account the bending stiffness.The effect of boundary conditions' change on the natural frequency of suspender was analyzed.It is indicated that the effect of boundary conditions on the estimation of suspender tension can't be neglected using the finite element method.
According to the Bernoulli-Euler theory,the natural frequency equation and the explicit expression of the suspender tension with common boundary conditions were deduced taking into account the bending stiffness.The effect of boundary conditions' change on the natural frequency of suspender was analyzed.It is indicated that the effect of boundary conditions on the estimation of suspender tension can't be neglected using the finite element method.
引文
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[2]Casas J R.A combined method for measuring cableforces:the cable stayed alamillo bridge,spain[J].Structural Engineering International,1994,4(3):235-240.
[3]Russell J C,Lardner TJ.Experimental determination offrequencies and tension for elastic cables[J].Journal ofEngineering Mechanics,ASCE,1998,124(10):1067-1072.
[4]任伟新,陈刚.由基频计算拉索拉力的实用公式[J].土木工程学报,2005,38(11):26-31.REN Wei-xin,CHEN Gang.Practical formulas to deter-mine cable tension by using cable fundamental frequency[J].China Civil Engineering Journal,2005,38(11):26-31.
[5]Zui H,Shinke T,Namita Y.Practical formulas for esti-mation of cable tension by vibration method[J].Journalof Structural Engineering,ASCE,1996,122(6):651-656.
[6]董建华.中、下承式拱桥吊索的模态分析与张力测定[D].郑州:郑州大学,2004.DONG Jian-hua.Modal analysis and tension measurementfor suspender of through and half-through arch bridge[D].Zhengzhou:Zhengzhou University,2004.
[7]方志,张智勇.斜拉桥的索力测试[J].中国公路学报,1997,10(1):51-58.FANG Zhi,ZHANG Zhi-yong.Test of cable tension incable-stayed bridges[J].China Journal of Highway andTransport,1997,10(1):51-58.
[8]黄炎.弹性地基上的压杆横向振动频率方程的一般表达式[J].国防科技大学学报,1999,21(5):46-49.HUANG Yan.The general expression for the lateral vibra-tion frequency equatuions of compressed bars on elasticfoundations[J].Journal of National University of DefenseTechnology,1999,21(5):46-49.
[9]陈刚.振动法测索力与实用公式[D].福州:福州大学,2004.CHENG Gang.Practical formulas for estimation of cabletension by vibration method[D].Fuzhou:Fuzhou Univer-sity,2004.
[10]陈刚,任伟新.基于环境振动的斜拉桥拉索基频识别[J].地震工程与工程振动,2003,23(3):100-106.CHEN Gang,REN Wei-xin.Ambient vibration based i-dentification of fundamental frequencies of stay cables[J].Earthquake Engineering and Engineering Vibra-tion,2003,23(3):100-106.
[11]任伟新,胡卫华,林友勤.斜拉索模态试验参数研究[J].实验力学,2005,20(1):102-108.REN Wei-xin,HU Wei-hua,LIN You-qin.A study onexperimental modal analysis of stay cables[J].Journalof Experimental Mechanics,2005,20(1):102-108.
[12]林元培.斜拉桥[M].北京:人民交通出版社,1997:164-166.LIN Yuan-pei.Cable-stayed bridge[M].Beijing:China Communications Press,1997:164-166.
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