基于传递矩阵法曲线桥的振动特性分析
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摘要
根据曲线桥的结构特点,将曲线桥离散成多个无质量的曲梁单元和包含质量的刚体,刚体包含质量和转动惯量.应用传递矩阵法建立曲线箱形截面梁的振动传递矩阵,求解频率方程,得到曲线箱形梁桥的固有频率值和相应振型,分析其振动动态特性.
Transfer matrix method is applied in analyzing the box-shaped curves of the natural frequencies of the box-shaped curves bridge.According to the structural characteristics of the curved bridge,bridge is separated into multiple curves with the no-quality curved beam elements and rigids including quality and moment of Inertia.The vibration transfer matrix of box-shaped beam is established for solving the frequency equation,obtaining the inherent frequency value and corresponding vibration mode about the curve box girder bridge.The paper also presents an analysis on the vibration dynamic characteristics of the curved box girder bridges.
Transfer matrix method is applied in analyzing the box-shaped curves of the natural frequencies of the box-shaped curves bridge.According to the structural characteristics of the curved bridge,bridge is separated into multiple curves with the no-quality curved beam elements and rigids including quality and moment of Inertia.The vibration transfer matrix of box-shaped beam is established for solving the frequency equation,obtaining the inherent frequency value and corresponding vibration mode about the curve box girder bridge.The paper also presents an analysis on the vibration dynamic characteristics of the curved box girder bridges.
引文
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[13]汉斯CP.结构杆件的弯曲与扭转[M].常岭,吴绍本译.北京:人民交通出版社,1981.HANSI CP.The bending and torsion of the structure bar[M].Translated by CHANG Ling and WU Shao-ben.Beijing:People Traffic Press,1981.
[2]焦驰宇.城市非规则高架桥的计算模型与动力反应分析[D].西安:西安建筑科技大学,2005.JIAO Chi-yu.Research on computation module and dynamic response of urban curved viaduct[D].Xi′an:Xi′an Uni-versity of Architecture and Technology,2005.
[3]赵志刚.地震动输入方向对非规则高架桥动力性能的影响[D].西安:西安建筑科技大学,2007.ZHAO Zhi-gang.Theinfluence of theinput direction of seismic motionto theirregular viaduct′dynamic characteris-tic[D].Xi′an:Xi′an University of Architecture and Technology,,2007.
[4]李青宁,李进,焦驰宇.大跨度拱桥振动传递分析[C].∥第八届全国振动理论及应用学术会议论文集.上海:2003,1:1-7.LI Qing-ning,LI Jin,JIAO Chi-yu.Vibrationtransfer analysis of long-span arch bridge[C].∥The 8th Conference onVibration Theory and Application.Shanghai,2003,1:1-7.
[5]陈胜立,寿汉平.传递矩阵法分析层状地基中桩的扭转变形[J].岩土力学,2004,36(S2):178-186.CHEN Sheng-li,SHOU Han-ping.Analysis of torsional response of a single pile embedded in layered soil withtransfer matrix method[J].Rock and Soil Mechanics,2004,36(S2):178-186.
[6]COYLE H M,REESE L C.Load transfer for axially loaded piles in clay[J].Journal of the Soil Mechanics andFoundation Division,ASCE,1966,92(2):1-26.
[7]POULOS HG,DAVIS EH.Pile foundation analysis and design[M].NewYork:John Wiley and Sons,1980:71-232.
[8]REESE LC,VAVI MPE,WF.Single pile and pile groups under lateral loading[M].Rotterdam:A A Balkema,2001:21-108.
[9]POULOS HG.Torsional response of piles[J].Journal of the Soil Mechanics and Foundation Division,ASCE,1975,101(10):1019-1035.
[10]Randolph MF.Piles subjected to torsion[J].Journal of Geotechnical Engineering,ASCE,1981,107(8):1095-1111.
[11]孙建鹏,李青宁,吕永高,等.曲线桥弯扭振动的传递矩阵[C].第16届全国结构工程学术会议论文集,2007(Ⅱ):457-460.SUNJian-peng,LI Qing-ning,LV Yong-gao,et al.The vibration transfer matrix of curved bridge with bending andreversing[C].∥Proceedings of the Sixteenth National Conference on Structural Engineering,2007(Ⅱ):457-460.
[12]瞿尔仁,刘孝武,易云焜,等.传递矩阵法在曲线桥结构中的应用[J].合肥工业大学学报,1999,22(6):73-79.QU Er-ren,LI U Xiao-wu,YI Yun-kun,et al.Transfer matrix method applied to structural analysis of curve bridge[J].Journal of Hefei University of Technology(Natural Science Edition),1999,22(6):73-79.
[13]汉斯CP.结构杆件的弯曲与扭转[M].常岭,吴绍本译.北京:人民交通出版社,1981.HANSI CP.The bending and torsion of the structure bar[M].Translated by CHANG Ling and WU Shao-ben.Beijing:People Traffic Press,1981.
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