The influence of mass of two-parameter elastic foundation on dynamic responses of beams subjected to a moving mass

The influence of mass of two-parameter elastic foundation on dynamic responses of beams subjected to a moving mass is presented in this paper. The analytical model of the foundation is characterized by shear layer connecting with elastic foundation modelled by linear elastic springs based on Winkler model and the mass of foundation is directly proportional with deformation of the springs. By using finite element method and principle of the dynamic balance, the governing equation of motion is derived and solved by the Newmark’s time integration procedure. The numerical results are compared with those obtained in the literature showing reliability of a computer program. The influence of parameters such as moving mass, stiffness and mass of foundation on dynamic responses of the beam is discussed.