An approximate model with an infinite number of vehicles for analysis of coupled vibrations between railway vehicle wheels and rail in the vertical direction.

This paper presents an approximate model with an infinite number of vehicles in which an infinite number of wheels are arranged with a certain periodicity on the top of an infinitely long and straight rail installed on a distributed spring in the vertical direction. This model is very effective for the analysis of the coupled vibrations between railway vehicle wheels and a rail for the case of a great number of wheels. Using the analytical model, the contribution of the rail to the coupled vibrations was examined for each section partitioned by wheels over the length per Shinkansen vehicle. As a result, it became clear that the vibration of the rail between the wheels of a truck is dominant in a frequency region lower than 2kHZ, and that of rail near a coupler between vehicles is also important in a frequency region higher than 1.5kHz.