吉林大学学报(工学版) ›› 2015, Vol. 45 ›› Issue (6): 1779-1783.doi: 10.13229/j.cnki.jdxbgxb201506007

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Calculation method of the dynamic characteristics of continuous beam bridge with variable cross-section based on staging concept

LIU Han-bing1, SHI Cheng-lin1,2, TAN Guo-jin1, WANG Hua1, HUANG Bin1   

  1. 1.College of Transportation, Jilin University,Changchun 130022,China;
    2.Scientific Research and Development Center,Jilin Provincial Transport Scientific Research Institute, Changchun 130012, China
  • Received:2014-07-08 Online:2015-11-01 Published:2015-11-01

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Abstract: A calculation method of the dynamic characteristics of continuous beam bridge with variable cross-section is proposed based staging concept. In this method, each cross of a girder bridge is segmented; the undetermined coefficients are used to express the vibration mode function of each segment; the transfer equations within the undetermined coefficients of each cross are established based on intersegmental continuity condition. The equations of the full-bridge undetermined coefficients are formed based on all the boundary conditions and transfer equations. The method is able to calculate the natural frequency and vibration mode of the bridge by solving the equations of undetermined coefficients. This method is applied to solve the dynamic characteristics of a continuous box girder bridge to demonstrate its validity and reliability.

Key words: continuous beam bridge, variable cross-section, dynamic characteristics, segmentation algorithm

CLC Number: 

  • U441
[1] Laura P A A, Gutierrez R H, Rossi R E. Free vibration of beams of bilinearly varying thickness[J]. Ocean Engineering,1996,23(1):1-6.
[2] Naguleswaran S. Vibration in the two principal pla-nes of a non-uniform beam of rectangular cross-section one side of which varies as the square root of the axial coordinate[J]. Journal of Sound and Vibration,1994,172(3):305-319.
[3] Mao Q B. Free vibration analysis of multiple-stepped beams by using adomian decomposition method[J]. Mathematical and Computer Modeling,2011,54(1-2):756-764.
[4] Mao Q B, Pietrzko S. Free vibration analysis of stepped beams by using adomian decomposition method[J]. Applied Mathematics and Computation,2010,217(7):3429-3441.
[5] 徐腾飞,向天宇,赵人达. 变截面Euler-Bernoulli梁在轴力作用下固有振动的级数解[J]. 振动与冲击,2007,26(11):99-101,186.
Xu Teng-fei,Xiang Tian-yu, Zhao Ren-da. Series solution of natural vibration of the variable cross-section euler-bernoulli beam under axial force[J]. Journal of Vibration and Shock,2007,26(11):99-101,186.
[6] 张怀静,潘旦光. 变截面连续梁动力特性的半解析解法[J].北京科技大学学报,2008,30(6):590-593,619.
Zhang Huai-jing, Pan Dan-guang. Semi-analytic solution to dynamic characteristics of non-uniform continuous beams[J]. Journal of University of Science and Technology Beijing,2008,30(6):590-593,619.
[7] 李俊,金咸定. Timoshenko 薄壁梁弯扭耦合振动的动态传递矩阵法[J]. 振动与冲击,2001,20(4):57-59,61.
Li Jun,Jin Xian-ding. Dynamic transfer matrix method for bending-torsional vibration of timoshenko thin-walled beam[J]. Journal of Vibration and Shock, 2001, 20(4): 57-59,61.
[8] 楼梦麟,任志刚. Timoshenko简支梁的振动模态特性精确解[J].同济大学学报,2002, 30(8):911-915.
Lou Meng-lin, Ren Zhi-gang. Precise solution to modal characteristics of Timoshenko pin-ended beams[J]. Journal of Tongji University(Natural Science),2002,30(8):911-915.
[9] 崔灿,蒋晗,李映辉. 变截面梁横向振动特性半解析法[J]. 振动与冲击,2012,31(14):85-88.
Cui Can,Jiang Han,Li Ying-hui.Semi-analytical method for calculating vibration characteristics of variable cross-section beam[J].Journal of Vibration and Shock,2012,31(14):85-88.
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