Print Email Facebook Twitter The equivalent dynamic stiffness of a visco-elastic half-space in interaction with a periodically supported beam under a moving load Title The equivalent dynamic stiffness of a visco-elastic half-space in interaction with a periodically supported beam under a moving load Author Lu, T. (TU Delft Mechanics and Physics of Structures) Metrikine, A. (TU Delft Offshore Engineering; TU Delft Engineering Structures) Steenbergen, M.J.M.M. (TU Delft Mechanics and Physics of Structures) Department Engineering Structures Date 2020 Abstract A periodically supported beam on a visco-elastic half-space is considered to model the vibration of railway tracks. The viscosity of the half-space is assumed to be of the Kelvin-Voigt type. Making use of the concept of equivalent dynamic stiffness, the reaction of the half-space to the sleepers is replaced by a system of identical spring located under each sleeper. The frequency-dependent equivalent stiffness of the springs is a function of the phase shift of vibrations of neighbouring supports. The equivalent stiffness is derived analytically employing the contour integration technique, resulting in a comprehensive expression for different phase velocities of the waves in the beam with respect to the wave speeds of the half-space. Apart from the Rayleigh type surface wave (quasi-elastic wave), an extra visco-elastic surface wave may exist in a visco-elastic half-space depending on the parameters of the half-space and the frequency range. The existence of this second surface wave has not been addressed within the field of train-induced ground vibration. The importance of this wave for the equivalent stiffness is analysed. An effective method to determine the frequency range for the visco-elastic surface wave to exist is proposed. Subject Equivalent stiffnessMoving loadPeriodically supported beamQuasi-elastic surface waveVisco-elastic half-spaceVisco-elastic surface wave To reference this document use: http://resolver.tudelft.nl/uuid:29039ee4-c9e6-40c4-b47d-cfc7927c388d DOI https://doi.org/10.1016/j.euromechsol.2020.104065 ISSN 0997-7538 Source European Journal of Mechanics A - Solids, 84 Part of collection Institutional Repository Document type journal article Rights © 2020 T. Lu, A. Metrikine, M.J.M.M. Steenbergen Files PDF 1_s2.0_S0997753820304538_main.pdf 3.57 MB Close viewer /islandora/object/uuid:29039ee4-c9e6-40c4-b47d-cfc7927c388d/datastream/OBJ/view