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1 Bulletin of the Polish Academy of Sciences. Technical Sciences

1 2002

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Time Delay Interactions in a Mechanical System as a Model of Braking Train

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Nizioł J. , Bar A.

Bulletin of the Polish Academy of Sciences. Technical Sciences

2002

tom Vol. 50, Nr 2

109--119

In the paper the vibrations of the complex mechanical system in non-stationary state have been analysed. The characteristics feature of the system is that all masses move along straight line and each of them, apart from the exreme ones, interacts only with neighbouring one. The interaction forces are ninlinearly dependent on displacements and relative velocities. The system in question is a model of the freight train motion during braking process. The particular masses are effected by the external forces with delayed argument, which is related to the time when the braking wave reaches the particular carrieges. The set of 40, 50 and 60 masses has been considered, in particular. It has been found out that independly on the mass number, the middle masses have the maximum values of vibration amplitudes. These amplitudes increase with the increase of the mass number. Solutions of the linearised and non-linear systems are compared. The influence damping on the system vibration has been examined.