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CZECH TECHNICAL UNIVERSITY IN PRAGUE
STUDY PLANS
2019/2020

Railway Vehicle Dynamics

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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.

Non-linear parts of suspension and damping.

Calculation of force-feedbacks 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, cross-correlation functions and power spectral density.

Construction of mathematical models of railway vehicles in 3D. Calculation of feedbacks of 3D models on random excitation.

Mass-continuum 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 mass-continuum. Solution through the system of linear differential equations.

6.Calculation of bending oscillation of mass-continuum. 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 non-linearities and inner stiffness on the behavior of dynamic systems and vehicles. Non-linear system criteria.

9.Influence of non-linearities and inner damping on the behavior of dynamic systems and vehicles. Non-linear system criteria.

10.Influence of non-linearities and inner friction damping on the behavior of dynamic systems and vehicles. Non-linear system criteria.

11.Influence of non-linearities and inner damping on the behavior of dynamic systems and vehicles. Non-linear 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 mass-continuum. Solution through the system of linear differential equations.

6.Calculation of bending oscillation of mass-continuum. 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 non-linearities and inner stiffness on the behavior of dynamic systems and vehicles. Non-linear system criteria.

9.Influence of non-linearities and inner damping on the behavior of dynamic systems and vehicles. Non-linear system criteria.

10.Influence of non-linearities and inner friction damping on the behavior of dynamic systems and vehicles. Non-linear system criteria.

11.Influence of non-linearities and inner damping on the behavior of dynamic systems and vehicles. Non-linear 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:
Time-table for winter semester 2019/2020:
Time-table is not available yet
Time-table for summer semester 2019/2020:
Time-table is not available yet
The course is a part of the following study plans:
Data valid to 2020-08-13
For updated information see http://bilakniha.cvut.cz/en/predmet10883902.html