An Approximate Model with an Infinite Number of Vehicles for Analysis of Coupled Vibrations Between Railway Vehicle Wheels and Rail in the Vertical Direction

Abstract

This paper presents an approximate model with an infinite number of vehicles in which an infinite number of wheels are arranged at intervals on the head 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 in the case of a large number of wheels. Using the analytical model, the contribution of rail to the coupled vibrations was examined for each section partitioned by the wheels of one Shinkansen vehicle. As a result, it became clear that rail vibration between truck wheels is dominant in the frequency region below 2 kHZ and that of the rail near a coupler between vehicles is also significant in the frequency region above 1.5 kHz.