Enhanced formula for a critical velocity of a uniformly moving load including shear contribution

Zuzana Dimitrovova

Enhanced formula for a critical velocity of a uniformly moving load including shear contribution

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

The response of rails to moving loads has been a topic of interest for over a century. A related issue, the critical velocity of moving loads is an important matter related to track design. Analytically, in undamped environment, downward as well as upward displacements tend to infinity when the load is moving over an infinite rail at the critical velocity. However, the classical formula predicts such a critical velocity significantly overestimated than the one experienced in reality, indicating that the formula should be revised. In this contribution the dynamic equilibrium of the soil in the vertical direction is implemented to obtain two frequency dependent parameters incorporating the geometric damping and the soil mass inertia activated by induced vibrations. The new approach is tested on finite and infinite beams. Corrections to the classical formula are proposed.

Original language	English
Title of host publication	11th World Congress on Computational Mechanics (WCCM 2014), 5th European Conference on Computational Mechanics (ECCM 2014) and 6th European Conference on Computational Fluid Dynamics (ECFD 2014)
Editors	E. Onate, X. Oliver, A. Huerta
Place of Publication	Barcelona, Spain
Publisher	International Center for Numerical Methods in Engineering
Pages	119-129
Number of pages	11
Volume	II-IV
ISBN (Print)	978-849428447-2
Publication status	Published - 1 Jul 2014
Event	11th World Congress on Computational Mechanics (WCCM) / 5th European Conference on Computational Mechanics (ECCM) / 6th European Conference on Computational Fluid Dynamics (ECFD) - Barcelona, Spain Duration: 20 Jul 2014 → 25 Jul 2014

Conference

Conference	11th World Congress on Computational Mechanics (WCCM) / 5th European Conference on Computational Mechanics (ECCM) / 6th European Conference on Computational Fluid Dynamics (ECFD)
Country/Territory	Spain
City	Barcelona
Period	20/07/14 → 25/07/14

Keywords

Uniformly moving load
Critical velocity
Dynamic stiffness
Geometrical damping
Frequency-dependent foundation moduli

Cite this

Dimitrovova, Z. (2014). Enhanced formula for a critical velocity of a uniformly moving load including shear contribution. In E. Onate, X. Oliver, & A. Huerta (Eds.), 11th World Congress on Computational Mechanics (WCCM 2014), 5th European Conference on Computational Mechanics (ECCM 2014) and 6th European Conference on Computational Fluid Dynamics (ECFD 2014) (Vol. II-IV, pp. 119-129). International Center for Numerical Methods in Engineering.

Dimitrovova, Zuzana. / Enhanced formula for a critical velocity of a uniformly moving load including shear contribution. 11th World Congress on Computational Mechanics (WCCM 2014), 5th European Conference on Computational Mechanics (ECCM 2014) and 6th European Conference on Computational Fluid Dynamics (ECFD 2014). editor / E. Onate ; X. Oliver ; A. Huerta. Vol. II-IV Barcelona, Spain : International Center for Numerical Methods in Engineering, 2014. pp. 119-129

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title = "Enhanced formula for a critical velocity of a uniformly moving load including shear contribution",

abstract = "The response of rails to moving loads has been a topic of interest for over a century. A related issue, the critical velocity of moving loads is an important matter related to track design. Analytically, in undamped environment, downward as well as upward displacements tend to infinity when the load is moving over an infinite rail at the critical velocity. However, the classical formula predicts such a critical velocity significantly overestimated than the one experienced in reality, indicating that the formula should be revised. In this contribution the dynamic equilibrium of the soil in the vertical direction is implemented to obtain two frequency dependent parameters incorporating the geometric damping and the soil mass inertia activated by induced vibrations. The new approach is tested on finite and infinite beams. Corrections to the classical formula are proposed.",

keywords = "Uniformly moving load, Critical velocity, Dynamic stiffness, Geometrical damping, Frequency-dependent foundation moduli",

author = "Zuzana Dimitrovova",

year = "2014",

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language = "English",

isbn = "978-849428447-2",

volume = "II-IV",

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editor = "E. Onate and X. Oliver and A. Huerta",

booktitle = "11th World Congress on Computational Mechanics (WCCM 2014), 5th European Conference on Computational Mechanics (ECCM 2014) and 6th European Conference on Computational Fluid Dynamics (ECFD 2014)",

publisher = "International Center for Numerical Methods in Engineering",

note = "11th World Congress on Computational Mechanics (WCCM) / 5th European Conference on Computational Mechanics (ECCM) / 6th European Conference on Computational Fluid Dynamics (ECFD) ; Conference date: 20-07-2014 Through 25-07-2014",

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Dimitrovova, Z 2014, Enhanced formula for a critical velocity of a uniformly moving load including shear contribution. in E Onate, X Oliver & A Huerta (eds), 11th World Congress on Computational Mechanics (WCCM 2014), 5th European Conference on Computational Mechanics (ECCM 2014) and 6th European Conference on Computational Fluid Dynamics (ECFD 2014). vol. II-IV, International Center for Numerical Methods in Engineering, Barcelona, Spain, pp. 119-129, 11th World Congress on Computational Mechanics (WCCM) / 5th European Conference on Computational Mechanics (ECCM) / 6th European Conference on Computational Fluid Dynamics (ECFD), Barcelona, Spain, 20/07/14.

Enhanced formula for a critical velocity of a uniformly moving load including shear contribution. / Dimitrovova, Zuzana.
11th World Congress on Computational Mechanics (WCCM 2014), 5th European Conference on Computational Mechanics (ECCM 2014) and 6th European Conference on Computational Fluid Dynamics (ECFD 2014). ed. / E. Onate; X. Oliver; A. Huerta. Vol. II-IV Barcelona, Spain: International Center for Numerical Methods in Engineering, 2014. p. 119-129.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

TY - GEN

T1 - Enhanced formula for a critical velocity of a uniformly moving load including shear contribution

AU - Dimitrovova, Zuzana

PY - 2014/7/1

Y1 - 2014/7/1

N2 - The response of rails to moving loads has been a topic of interest for over a century. A related issue, the critical velocity of moving loads is an important matter related to track design. Analytically, in undamped environment, downward as well as upward displacements tend to infinity when the load is moving over an infinite rail at the critical velocity. However, the classical formula predicts such a critical velocity significantly overestimated than the one experienced in reality, indicating that the formula should be revised. In this contribution the dynamic equilibrium of the soil in the vertical direction is implemented to obtain two frequency dependent parameters incorporating the geometric damping and the soil mass inertia activated by induced vibrations. The new approach is tested on finite and infinite beams. Corrections to the classical formula are proposed.

AB - The response of rails to moving loads has been a topic of interest for over a century. A related issue, the critical velocity of moving loads is an important matter related to track design. Analytically, in undamped environment, downward as well as upward displacements tend to infinity when the load is moving over an infinite rail at the critical velocity. However, the classical formula predicts such a critical velocity significantly overestimated than the one experienced in reality, indicating that the formula should be revised. In this contribution the dynamic equilibrium of the soil in the vertical direction is implemented to obtain two frequency dependent parameters incorporating the geometric damping and the soil mass inertia activated by induced vibrations. The new approach is tested on finite and infinite beams. Corrections to the classical formula are proposed.

KW - Uniformly moving load

KW - Critical velocity

KW - Dynamic stiffness

KW - Geometrical damping

KW - Frequency-dependent foundation moduli

M3 - Conference contribution

SN - 978-849428447-2

VL - II-IV

SP - 119

EP - 129

BT - 11th World Congress on Computational Mechanics (WCCM 2014), 5th European Conference on Computational Mechanics (ECCM 2014) and 6th European Conference on Computational Fluid Dynamics (ECFD 2014)

A2 - Onate, E.

A2 - Oliver, X.

A2 - Huerta, A.

PB - International Center for Numerical Methods in Engineering

CY - Barcelona, Spain

T2 - 11th World Congress on Computational Mechanics (WCCM) / 5th European Conference on Computational Mechanics (ECCM) / 6th European Conference on Computational Fluid Dynamics (ECFD)

Y2 - 20 July 2014 through 25 July 2014

ER -

Dimitrovova Z. Enhanced formula for a critical velocity of a uniformly moving load including shear contribution. In Onate E, Oliver X, Huerta A, editors, 11th World Congress on Computational Mechanics (WCCM 2014), 5th European Conference on Computational Mechanics (ECCM 2014) and 6th European Conference on Computational Fluid Dynamics (ECFD 2014). Vol. II-IV. Barcelona, Spain: International Center for Numerical Methods in Engineering. 2014. p. 119-129

Enhanced formula for a critical velocity of a uniformly moving load including shear contribution

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