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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