Dynamics of Linear Systems

Lecturer:

Jiří Kunz (gar.)

Tutor:

Jiří Kunz (gar.)

Supervisor:

Department of Materials

Synopsis:

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:

Fundamentals of Theoretical Dynamics. Engineering Mechanics.

Mathematical Analysis.

Syllabus of lectures:

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.

Syllabus of tutorials:

Study Objective:

Knowledge: To obtain basic knowledges about mathematical modelling of linear mechanical systems by means of discrete elements.

Skills: To be able to determine and to solve the kinetic equations of motion of mechanical systems with one or two degrees of freedom.

Study materials:

Key references:

[1] Kunz, J.: Vibration of Linear Systems. Praha, České vysoké učení technické v praze 2009 (in Czech).

Recommended references:

[1] Brepta, R. - Půst, L. - Turek, F.: Mechanical Vibration. Praha, Sobotáles 1994 (in Czech).

Note:

Time-table for winter semester 2011/2012:

Time-table is not available yet

Time-table for summer semester 2011/2012:

Time-table is not available yet

The course is a part of the following study plans: