The paper presents several different approaches to the issue of stability of mathematical models of rail and road vehicles. A technical stability analysis of the mathematical model was conducted based on the properties of the maximum and minimum eigenvalues of the state matrix (derived from the equations of motion of a rail vehicle system with 25TN bogies) and by determining the Lyapunov function. The stability of this model was investigated with respect to the parameters to which the Lyapunov function is most sensitive (sensitivity studies are shown in paper [3]).
The second task is the study of technical stochastic stability (the definition was taken from paper [4]) of a nonlinear mathematical model of a rail vehicle (freight wagon with a 25 TN bogie) and a road vehicle (Ferrari car). In both cases, disturbances originated from track irregularities and road irregularities. This task was carried out for various parameters of the rail and road vehicle. These results were related to real objects, e.g., in the case of the road vehicle, to the stability of a car defined in the ISO 8855:1991 standard.
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Source: Logistyka Magazine
Keywords: stability, mathematical model, rail vehicle, road vehicle – PDF file for download