CZECH TECHNICAL UNIVERSITY IN PRAGUE
STUDY PLANS
2023/2024

# Dynamics of Linear Systems

Code Completion Credits Range
14DYLS Z,ZK 2 1P+1C
Garant předmětu:
Jiří Kunz
Lecturer:
Jiří Kunz
Tutor:
Jiří Kunz
Supervisor:
Department of Materials
Synopsis:

Abstract:

Modelling of linear mechanical systems by means of simple computational system of discrete elements. Free and/or forced vibration of mechanical systems with one or two degrees of freedom. Kinetic equations of motion - their determination and solution. Analysis of motion stability.

Requirements:
Syllabus of lectures:

Outline:

1.Computational models of mechanisms - system of discrete elements (mass, spring, shock absorber).

2.Determination of kinetic motion equations from equilibrium conditions or by means of Lagrange's equations.

3.Free and forced vibration of mechanical systems with one or two degrees of freedom (solution of kinetic equations with zero or periodical right side) - amplitude and frequency characteristics, resonance, antiresonance, influence of vibration damping etc.

4.Vibration excited by centrifugal forces, by the road surface bumpiness, etc.

5.Tuned damper of the longitudinal or torsion vibrations.

6.General periodical excited forces and motions - application of Fourier's analysis.

7.Fundamentals of the theory of motion stability - definitions, method of characteristic exponents etc.

Keywords:

vibration of linear mechanical systems, computational model, discrete elements - mass, spring, viscous damper, kinetic equations of motion, free and forced vibration, degrees of freedom, resonance and antiresonance, Fourier transform, stability of motion, method of characteristic exponents

Syllabus of tutorials:
Study Objective:
Study materials:

Key references:

[1] Gatti, P.L.: Applied Structural and Mechanical Vibrations. 2nd Ed., London, CRC 2014.

[2] Benaroya, H., Nagurka, M. a Han, S.: Mechanical Vibration [online]. CRC Press 2017.

Recommended references:

[3] Géradin, M. – Rixen, D.: Mechanical Vibrations. Theory and Application to Structural Dynamics. 3rd Ed.,

Chichester, Wiley 2015.

Note:
Time-table for winter semester 2023/2024:
Time-table is not available yet
Time-table for summer semester 2023/2024:
Time-table is not available yet
The course is a part of the following study plans:
Data valid to 2024-08-12
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