Mathematical Modelling of Vibrations and Loading of Railway Tanks Taking into Account the Liquid Cargo Mobility

Dynamics and loading of railway tank cars transporting liquid cargo are investigated. The approach based on the mechanical-pendulum analogy for the liquid cargo mobility simulation is proposed. Hydrodynamic parameters of the mechanical analogy are determined using the solution of the boundary-value problem for the liquid cargo vibrations in a cavity with the tank boiler shape. The fitting of the developed mathematical models is proved by comparison of calculated results and test data. Vibration characteristics and loading of tank-cars under their shunt collisions and motion along straight and curved track in trains are evaluated. It is shown that as a rule the liquid cargo mobility has an essential influence on tank dynamic properties.