Analysis of vibrations induced by proximate masses traversing a beam supported by a finite depth foundation with partial shear resistance

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Abstract

In this paper, analysis of vibrations induced by proximate moving masses traversing a beam supported by a finite-depth foundation with partial shear resistance is presented. This model is simple enough to be handled by semi-analytical approaches and has a counterpart in modal expansion, which is suitable for finite beams [I]. The model can acceptably approximate vibrations recorded experimentally as shown in [2] and provides results sufficiently close to the ones obtained on more sophisticated models [3]. The semi-analytical analysis is based on developments related to massless foundation presented in [4-7]. The method is extended, and additional aspect of dynamic amplification due to the proximity of moving masses are included. Final solution is presented in convenient form where most terms are analytical, and thus can be easily evaluated. This form also clearly identifies each part contribution. Main part of the solution is harmonic, composed from steady and unsteady parts of the solution. The unsteady part needs identification of induced frequencies. These frequencies are also important indicators of the onset of instability of the moving masses. Generally insignificant transient part of the solution has to be obtained numerically. The possibility of analysing same situation on finite beams is very important for results validation. In addition, because it is easy to determine vibration modes for beams with abrupt change in foundation stiffness, this additional feature can also be analysed. The main new contribution of this paper is detailed analysis of dynamic amplification effects due to masses proximity and conclusion that, as far as the instability is concerned, its onset is not influenced by increasing number of masses.

Original languageEnglish
Title of host publicationEURODYN 2020 - 11th International Conference on Structural Dynamics, Proceedings
EditorsManolis Papadrakakis, Michalis Fragiadakis, Costas Papadimitriou
PublisherEuropean Association for Structural Dynamics
Pages2658-2666
Number of pages9
ISBN (Electronic)9786188507210
Publication statusPublished - 2020
Event11th International Conference on Structural Dynamics, EURODYN 2020 - Virtual, Athens, Greece
Duration: 23 Nov 202026 Nov 2020

Publication series

NameProceedings of the International Conference on Structural Dynamic, EURODYN
PublisherEuropean Association for Structural Dynamics
Volume2
ISSN (Print)2311-9020

Conference

Conference11th International Conference on Structural Dynamics, EURODYN 2020
CountryGreece
CityVirtual, Athens
Period23/11/2026/11/20

Keywords

  • Dynamic amplification due to proximity
  • Foundation with partial shear resistance
  • Moving masses
  • Semi-analytical methods
  • Unsteady solution

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