RT Journal Article
SR Electronic
A1 Skocilasova, Blanka
A1 Klimenda, Frantisek
A1 Skocilas, Jan
A1 Jarosova, Tereza
T1 Analytic Solution of the Motion Equations of the Rolling Stock Chassis Incorporating the Effect of Asymmetry and Kinematics Excitation
JF Manufacturing Technology Journal
YR 2025
VO 25
IS 4
SP 531
OP 539
DO 10.21062/mft.2025.052
UL https://journalmt.com/artkey/mft-202504-0007.php
AB The article provides an analytical solution for the dynamics of a vehicle chassis designed for both road and rail operation, featuring either single or multiple primary linear suspensions using coil springs. It derives the equations of motion for a simplified two-axle chassis model that includes both a basic primary suspension and a simplified chassis suspension. The study focuses on the simplest calculation model to analyze suspension behavior, taking into account the asymmetry in spring stiffness and geometric positioning. There is an unequal distribution of weight across the vehicle body. An analysis is conducted on a comprehensive vehicle model with nine degrees of freedom. The analytical solution is obtained using Lagrange equations of the second kind, alongside various calculation techniques such as Laplace transformation. Due to the scope of the article, calculations of all coefficients of the matrices are not presented, but a link to other works of the authors is given, where these procedures are presented. The proposed analytical solution makes it possible to derive an effective algorithm for the application of computer technology. The use of the proposed procedures allows determining the permissible asymmetry of vehicles for safe driving, taking into account structural asymmetry, kinematic excitation asymmetry (always occurs) and suspension asymmetry (almost always occurs).