The equivalent dynamic stiffness of a visco-elastic half-space in interaction with a periodically supported beam under a moving load

Research output: Contribution to journalArticleScientificpeer-review

2 Citations (Scopus)
15 Downloads (Pure)

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.
Original languageEnglish
Article number104065
Number of pages10
JournalEuropean Journal of Mechanics, A/Solids
Volume84
DOIs
Publication statusPublished - 2020

Keywords

  • Equivalent stiffness
  • Moving load
  • Periodically supported beam
  • Quasi-elastic surface wave
  • Visco-elastic half-space
  • Visco-elastic surface wave

Fingerprint

Dive into the research topics of 'The equivalent dynamic stiffness of a visco-elastic half-space in interaction with a periodically supported beam under a moving load'. Together they form a unique fingerprint.

Cite this