Railway Vehicle Dynamics
Code  Completion  Credits  Range 

W21A001  ZK  30 
 Lecturer:
 Ladislav Rus (guarantor)
 Tutor:
 Ladislav Rus (guarantor)
 Supervisor:
 Department of Automotive, Combustion Engine and Railway Engineering
 Synopsis:

Calculation of running stability of a railway vehicle. Optimization of damping and suspension of the vehicle. Calculation of stable areas of lateral oscillation.
Construction of mathematical models of railway vehicles with multiple degrees of freedom excited by unevenness of the track of harmonic run.
Nonlinear parts of suspension and damping.
Calculation of forcefeedbacks and acceleration, on the bogie and the body of the vehicle, according to harmonic excitation.
Random process theory considering the random excitation of railway vehicles. Calculation of correlation functions, crosscorrelation functions and power spectral density.
Construction of mathematical models of railway vehicles in 3D. Calculation of feedbacks of 3D models on random excitation.
Masscontinuum oscillation. Bending oscillation of the body of the vehicle.
 Requirements:

Dynamics knowledge
 Syllabus of lectures:

1.Basic criteria of modeling of dynamic systems and vehicles. Mathematical models and methods of calculation of solution of linear algebraic equation systems.
2.Calculation of running stability of a railway vehicle. Optimization of suspension and damping of the vehicle. Calculation of stable areas of lateral oscillation.
3.Substitution of components mass parameters of railway vehicle
4.Mathematical models and calculation methods
5.Calculation of bending oscillation of the masscontinuum. Solution through the system of linear differential equations.
6.Calculation of bending oscillation of masscontinuum. Physical analogs. Solution through the use of partial differential equation system.
7.Calculation of vertical oscillation of vehicles. Optimization of suspension and damping.
8.Influence of nonlinearities and inner stiffness on the behavior of dynamic systems and vehicles. Nonlinear system criteria.
9.Influence of nonlinearities and inner damping on the behavior of dynamic systems and vehicles. Nonlinear system criteria.
10.Influence of nonlinearities and inner friction damping on the behavior of dynamic systems and vehicles. Nonlinear system criteria.
11.Influence of nonlinearities and inner damping on the behavior of dynamic systems and vehicles. Nonlinear system criteria.
12.Feedback of dynamic systems on random excitation.
13.Construction of mathematical models of railway vehicles with multiple degrees of freedom excited by unevenness of the track.
 Syllabus of tutorials:

Practice from sujects
1.Criteria of modeling of dynamic systems and vehicles. Mathematical models and methods of calculation of solution of linear algebraic equation systems.
2.Calculation of running stability of a railway vehicle. Optimization of suspension and damping of the vehicle. Calculation of stable areas of lateral oscillation.
3.Substitution of components mass parameters of railway vehicle
4.Mathematical models and calculation methods
5.Calculation of bending oscillation of the masscontinuum. Solution through the system of linear differential equations.
6.Calculation of bending oscillation of masscontinuum. Physical analogs. Solution through the use of partial differential equation system.
7.Calculation of vertical oscillation of vehicles. Optimization of suspension and damping.
8.Influence of nonlinearities and inner stiffness on the behavior of dynamic systems and vehicles. Nonlinear system criteria.
9.Influence of nonlinearities and inner damping on the behavior of dynamic systems and vehicles. Nonlinear system criteria.
10.Influence of nonlinearities and inner friction damping on the behavior of dynamic systems and vehicles. Nonlinear system criteria.
11.Influence of nonlinearities and inner damping on the behavior of dynamic systems and vehicles. Nonlinear system criteria.
12.Feedback of dynamic systems on random excitation.
13.Construction of mathematical models of railway vehicles with multiple degrees of freedom excited by unevenness of the track.
 Study Objective:

Examination
 Study materials:

 Němec, Rus, Synek, Kolář, Krupička: Dynamické jevy, namáhání a porušování
pojezdu lokomotiv, NADAS 1986
 Freibauer, Rus, Zahrádka: Dynamika kolejových vozidel, NADAS, 1991
 Švejnoch, a kol (Rus): Teorie kolejových vozidel, Skripta ČVUT Praha, FS, 1991
 Kolář: Teoretické základy konstrukce kolejových vozidel, Skripta ČVUT Praha, FS, 2009
 Note:
 Timetable for winter semester 2019/2020:
 Timetable is not available yet
 Timetable for summer semester 2019/2020:
 Timetable is not available yet
 The course is a part of the following study plans: