Dižo, JánLovska, AlyonaBlatnický, MiroslavIshchuk, Vadym2024-10-2420241337-8996https://drepo.uniza.sk/handle/hdluniza/1112The presented research is focused on a derivation of a mathematical model of a passenger wagon based on a dynamical model in a plane with three degrees of freedom. Vertical oscillation of a passenger wagon is calculated in two different software, namely Matlab and Simpack. It is considered that three degrees of freedom are defined as following: a vertical deflection of a front bogie frame, a vertical deflection of a rear bogie frame (in a running direction) and a vertical deflection of a wagon body. The Lagrange’s equations of the second kind method is used for a derivation of the equations of motion, i.e. for a derivation of a mathematical model of wagon oscillation. Subsequently, the derived equations of motion are solved in the Matlab software as well as in the Simpack software. Both software apply calculation in a time domain. Evaluation of the results is focused on an investigation of ride comfort for passengers. This ride comfort is expressed by the NMV index calculated in five points on a wagon body floor. These calculations come from the formulation defined in the corresponding standard. The results of the NMV indices are presented in the bar graphs based on the numerical values of the NMV indices.otherride comfortpassenger wagondynamicsplanar modelequations of motionArticlehttps://doi.org/10.26552/tech.C.2024.3.3