Variance of the Vertical Accelerations due to the Suspended Masses in the System “Railway Vehicle-Track”: Simulation Technique, Differential Equation, Fourier Transform and Approximants

AUTHOR(S):

TITLE

Variance of the Vertical Accelerations due to the Suspended Masses in the System “Railway Vehicle-Track”: Simulation Technique, Differential Equation, Fourier Transform and Approximants

PDF

ABSTRACT

In this paper the case of the system “railway vehicle rolling on a railway track with defects/faults” is investigated based on a simulation technique of an ensemble of springs and dashpots leading to the formation of the differential equation of this system. The application of the Fourier Transform on this second order differential equation of motion leads to its solution for the case of the Suspended/Sprung Masses of the railway vehicle and the approximants of the standard deviation of the vertical acceleration which appears on the vehicle’scar-body

KEYWORDS

Static/Dynamic Stiffness Coefficient, Sprung Masses, Unprung Masses, Fourier Transform, Spectral Density, Variance, Standard Deviation, Dynamic Component of Actions.

REFERENCES

[1] Giannakos K. Modeling the Influence of Short Wavelength Defects in a Railway Track on the Dynamic Behavior of the Non-Suspended Masses, Journal of Mechanical Systems and Signal Processing (Mech. Syst. Signal Process.), Elsevier, 2015, Vol. 68-69, 2016, pp. 68-83.

[2] Giannakos K. Track Defects and the Dynamic Loads due to Non-Suspended Masses of Railway Vehicles, NAUN International Journal of Mechanics, Vol.7, Issue 3, 2013, pp. 180- 191.

[3] Giannakos K. Second Order Differential Equation of Motion in Railways: the Variance of the Dynamic Component of Actions due to the Sprung Masses of the Vehicles, International Journal of Theoretical and Applied Mechanics pp.30-37.

[4] Giannakos K. Theoretical calculation of the track-mass in the motion of unsprung masses in relation to track dynamic stiffness and damping, International Journal of Pavement Engineering (IJPE), Special Rail Issue “High- Speed Railway Infrastructure: Recent Developments and Performance”, Vol. 11, Issue 4, August 2010, pp. 319-330.

[5] Giannakos K. Influence of the track's damping on the track mass participating in the motion of the Non-Suspended Masses of railway vehicles – theoretical calculation and comparison to measurements, volume published in honour of (fs) professor George Giannopoulos, Aristotle University of Thessaloniki, 2012.

[6] Giannakos K. Actions on the Railway Track, Papazissis publ., www.papazisi.gr, Athens, 2004.

[7] SNCF/Direction de l’ Equipement, Mecanique de la Voie, 1981.

[8] Alias J. La Voie Ferree – Techniques de Construction et Entretien, deuxieme edition, Eyrolles, Paris, 1984.

[9] Fortin J. La Deformee Dynamique de la Voie Ferree, Revue Generale des Chemins de Fer (RGCF), 02/1982.

[10] Thompson D. Railway Noise and Vibration, Elsevier, 2009.

[11] Wylie C.R. and Barrett L.C. Advanced Engineering Mathematics, sixth edition, McGraw-Hill, Inc., USA, 1995.

[12] Giannakos K., Track Defects and the Dynamic Loads due to Suspended (Sprung) Masses of Railway Vehicles, in Loizos A/Al-Qadi I./T., Scarpas, (eds), Intl. Conference Bearing Capacity of Roads, Rails, Airfelds, Athens, proceedings, Taylor & Francis group, 2017, pp.1911-1919.

[13] Prud’Homme A. La Voie, Revue Generale des Chemins de Fer (RGCF), Janvier, 1970, extrait de RGCF.

Cite this paper

Konstantinos Giannakos. (2018) Variance of the Vertical Accelerations due to the Suspended Masses in the System “Railway Vehicle-Track”: Simulation Technique, Differential Equation, Fourier Transform and Approximants. International Journal of Theoretical and Applied Mechanics, 3, 10-16