LOU Ping, CENG Qing-yuan. Finite element analysis of infinitely long beam resting on continuous viscoelastic foundation subjected to moving loads[J]. Journal of Traffic and Transportation Engineering, 2003, 3(2): 1-6.
Citation: LOU Ping, CENG Qing-yuan. Finite element analysis of infinitely long beam resting on continuous viscoelastic foundation subjected to moving loads[J]. Journal of Traffic and Transportation Engineering, 2003, 3(2): 1-6.

Finite element analysis of infinitely long beam resting on continuous viscoelastic foundation subjected to moving loads

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  • Author Bio:

    LOU Ping(1968-), male, doctoral student, 86-731-2656065, pinglou@csu.edu.cn

  • Received Date: 2002-10-25
  • Publish Date: 2003-06-25
  • The beam, foundation and moving loads were considered as a system, and the system was separated into a number of finite elements.Hermitian cubic interpolation function were utilized as the bending shape functions of the two-node beam element.The element stiffness matrix, mass matrix, damping matrix, and vector of element nodal forces could be obtained by the principle of total potential energy with stationary value in elastic system dynamics. The vibration equations of the system were established. The equations were solved by Wilson θ-method, and the displacement time histories of the beam at mid-point were found. Several numerical examples were presented, and the influences of the viscoelastic characteristic of foundation and the bending stiffness of beam on dynamic responses of beam were analyzed.Calculation results show that the increase either of spring stiffness, or of damping coefficient of foundation or of the bending stiffness of beam each leads to the decrease of dynamic responses of beam.

     

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  • [1]
    YoshidaD M, WeaverW. Finite element analysis of beams and plates with moving loads[J]. Publication of InternationalAssociation forBridge and Structural Engineering, 1971, 31 (1): 179—195.
    [2]
    FilhoF V. F inite element analysis of structures under movingloads[J]. Shock andVibrationDigest, 1978, 10 (8): 27-35.
    [3]
    OlssonM. Finite element, modal co-ordinate analysis of stru-ctures subjected to m oving loads[J]. Journal ofSound andVibration, 1985, 99 (1): 1—12.
    [4]
    ThambiratnamD, ZhugeY. Dynamic analysis of beams on anelastic foundation subjected to moving loads[J]. Journal ofSound andVibration, 1996, 198 (2): 149—169.
    [5]
    WU Jong-shyong, DAIChang-wang. Dynamic responses of multispan nonuniform beam due to moving loads[J]. Journal of Structural Engineering, 1987, 113 (3): 458—474.
    [6]
    CloughR W, PenzienJ. Dynamics ofStructures[M]. McGraw-HillInc., NewYork, 1975.
    [7]
    MeirovitchL. AnalyticalMethods inVibrations[M]. Macmil-lanCompany, London, U. K., 1967.
    [8]
    PilkeyW D, ChangP Y. ModernFormulas forStatics andDynamics[M]. McGraw-HillBookCo., NewYork, 1978.
    [9]
    CaiC W, CheungY K, ChanH C. Dynamic response of infinitecontinuous beam s subjected to a moving force— an exactmethod[J]. Journal ofSound andVibration, 1988, 123 (3): 461—472.
    [10]
    DeanG Duffy. The response of an infinite railroad track to amoving, vibrating mass[J]. Journal ofAppliedMechanics, 1990, 57 (1): 66—73.
    [11]
    郝瀛. 铁道工程[M]. 北京: 中国铁道出版社, 2000.
    [12]
    曾庆元. 弹性系统总势能不变值原理[J]. 华中理工大学学报, 2000, 28 (1): 1—3. https://www.cnki.com.cn/Article/CJFDTOTAL-HZLG200001000.htm

    ZENG Qing-yuan. The principle of total potential energy withstationary value in elastic system dynam ics[J]. Journal ofHuazhongU niversity ofScience andTechnology, 2000, 28 (1): 1-3. (inChinese). https://www.cnki.com.cn/Article/CJFDTOTAL-HZLG200001000.htm
    [13]
    曾庆元, 郭向荣. 列车桥梁时变系统振动分析理论与应用[M]. 北京: 中国铁道出版社, 1999.
    [14]
    曾庆元, 杨平. 形成矩阵的"对号入座"法则与桁梁空间分析的桁段有限元法[J]. 铁道学报, 1986, 8 (2): 48—59. doi: 10.3321/j.issn:1001-8360.1986.02.006

    ZENG Qing-yuan, YANG Ping. The"set-in-right-position"rule for forming structural matrices and the finite truss-element method for space analysis of truss bridges[J]. Journal of the China Railway Society, 1986, 8 (2): 48-59. (inChinese). doi: 10.3321/j.issn:1001-8360.1986.02.006
    [15]
    ZENG Qing-yuan, L OU Ping, XIANG Jun. The principle of total potential energy with stationary value in elastic systemdynamics and its application to the analysis of vibration and dynamic stability[J]. Journal of Huazhong University ofScience andTechnology (UrbanScience), 2002, 19 (1): 7—14.
    [16]
    ZENG Qing-yuan, L OU Ping, XIANG Jun. The principle oftotal potential energy with stationary value in elastic systemdynamics and its vibration analysis[A ]. Proceedings of International Conference on Engineering and Technological Sciences 2000, Session5[C]. Beijing: SciencePress, 2000.183—193.
    [17]
    LOU Ping, ZENG Qing-yuan. On three approaches to formula-tion of the equations of motion of a dynamic system[J]. Journal of Structural Engineering (Madras), 2002, 29 (2): 119—123.
    [18]
    李德建. 列车—轨道时变系统空间振动分析[D]. 长沙: 长沙铁道学院, 1996.
    [19]
    郭文华. 中小跨度铁路桥梁横向刚度分析[D]. 长沙: 长沙铁道学院, 1999.
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