Dynamics of Linear Systems

Garant předmětu:

Lecturer:

Tutor:

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:

Further information:

No time-table has been prepared for this course

The course is a part of the following study plans:

• BS Diagnostika materiálů (compulsory course of the specialization)
• Fyzikální inženýrství - Fyzikální inženýrství materiálů (PS)