Extended formula for the critical velocity of a load moving on a beam supported by a finite depth foundation

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

In this paper, an extended formula for the critical velocity of a uniformly moving load is derived. It is assumed that the load is traversing an infinite beam supported by finite depth foundation under plane strain condition. The critical velocity is extracted by parametric analysis applied on the analytical solution of the steady state deflection beam shape. Results obtained are compared with the previously published results of this author, where simplified assumptions were implemented on the shear contribution. It is confirmed that there is an interaction between the beam and the foundation and thus the critical velocity is dependent on the mass ratio defined as the square root of the fraction of the foundation mass to the beam mass. Several options for damping are also analysed and results of displacement fields are compared with finite element simulations. In order to obtain steady-state form of the finite element results, the enhanced moving widow method is implemented in software ANSYS.

Original languageEnglish
Title of host publicationECCOMAS Congress 2016 - Proceedings of the 7th European Congress on Computational Methods in Applied Sciences and Engineering
PublisherNational Technical University of Athens
Pages4520-4527
Number of pages8
Volume3
ISBN (Electronic)978-618828440-1
DOIs
Publication statusPublished - 1 Jan 2016
Event7th European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS Congress 2016 - Crete, Greece
Duration: 5 Jun 201610 Jun 2016

Conference

Conference7th European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS Congress 2016
CountryGreece
CityCrete
Period5/06/1610/06/16

Fingerprint

Moving Load
Parametric Analysis
Plane Strain
ANSYS
Finite Element Simulation
Damping
Square root
Deflection
Analytical Solution
Finite Element
Software
Dependent
Interaction

Keywords

  • Analytical solution
  • Critical velocity
  • Finite soil depth
  • Integral transforms
  • Moving load
  • Moving window method

Cite this

Dimitrovová, Z. (2016). Extended formula for the critical velocity of a load moving on a beam supported by a finite depth foundation. In ECCOMAS Congress 2016 - Proceedings of the 7th European Congress on Computational Methods in Applied Sciences and Engineering (Vol. 3, pp. 4520-4527). National Technical University of Athens. https://doi.org/10.7712/100016.2129.11208
Dimitrovová, Zuzana. / Extended formula for the critical velocity of a load moving on a beam supported by a finite depth foundation. ECCOMAS Congress 2016 - Proceedings of the 7th European Congress on Computational Methods in Applied Sciences and Engineering. Vol. 3 National Technical University of Athens, 2016. pp. 4520-4527
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abstract = "In this paper, an extended formula for the critical velocity of a uniformly moving load is derived. It is assumed that the load is traversing an infinite beam supported by finite depth foundation under plane strain condition. The critical velocity is extracted by parametric analysis applied on the analytical solution of the steady state deflection beam shape. Results obtained are compared with the previously published results of this author, where simplified assumptions were implemented on the shear contribution. It is confirmed that there is an interaction between the beam and the foundation and thus the critical velocity is dependent on the mass ratio defined as the square root of the fraction of the foundation mass to the beam mass. Several options for damping are also analysed and results of displacement fields are compared with finite element simulations. In order to obtain steady-state form of the finite element results, the enhanced moving widow method is implemented in software ANSYS.",
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Dimitrovová, Z 2016, Extended formula for the critical velocity of a load moving on a beam supported by a finite depth foundation. in ECCOMAS Congress 2016 - Proceedings of the 7th European Congress on Computational Methods in Applied Sciences and Engineering. vol. 3, National Technical University of Athens, pp. 4520-4527, 7th European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS Congress 2016, Crete, Greece, 5/06/16. https://doi.org/10.7712/100016.2129.11208

Extended formula for the critical velocity of a load moving on a beam supported by a finite depth foundation. / Dimitrovová, Zuzana.

ECCOMAS Congress 2016 - Proceedings of the 7th European Congress on Computational Methods in Applied Sciences and Engineering. Vol. 3 National Technical University of Athens, 2016. p. 4520-4527.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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Dimitrovová Z. Extended formula for the critical velocity of a load moving on a beam supported by a finite depth foundation. In ECCOMAS Congress 2016 - Proceedings of the 7th European Congress on Computational Methods in Applied Sciences and Engineering. Vol. 3. National Technical University of Athens. 2016. p. 4520-4527 https://doi.org/10.7712/100016.2129.11208