Second Order Differential Equation of Motion in Railways: the Variance of the Dynamic Component of Actions due to the Sprung Masses of the Vehicles

AUTHOR(S):

Konstantinos Giannakos

TITLE

Second Order Differential Equation of Motion in Railways: the Variance of the Dynamic Component of Actions due to the Sprung Masses of the Vehicles

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KEYWORDS

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

ABSTRACT

In this paper the second order differential equation of motion is presented for the case of a railway vehicle rolling on a railway track with defects/faults and its solution is presented for the Sprung (Suspended) Masses of the vehicle that act indirectly on the track through the springs and dampers of the vehicle.

Cite this paper

Konstantinos Giannakos. (2016) 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, 1, 30-37