Prowadzący: prof. zw. dr hab. inż. Roman Bogacz

Wykład 30 godzinny w języku angielskim.


Treść wykładu:

1. Partial differential equations of hyperbolic type. Boundary conditions and initial conditions. Methods of solutions. Examples: equation of string, rod and beam.
2. Partial differential equations of parabolic type. Boundary conditions and initial conditions. Methods of solutions. Equations of various beam models.
3. Waves in one-dimensional systems. Reflections, scattering, dispersion.
4. Continuous systems subjected to oscillating force and kinematic excitations.
5. Dynamics of hybrid systems. Set of oscillators and string. Single oscillator or set of oscillators and beams.
6. Set of oscillators in relative motion with a string and the Euler beam on an elastic foundation. Linear case.
7. Stability of pipes conveying fluid.
8. Set of oscillators in relative motion with a string and the Euler beam on an elastic foundation. Non-linear case.
9. Two beams in relative motion interacting by an elastic massless layer.
10. Stability of two elastic semi-spaces in relative motion.
11. Conservative and non-conservative systems. Particular cases of singular points on the phase plane.
12. Friction excited vibration of single degree of freedom. Characteristics dependent on velocity of relative motion.
13. Friction excited vibration of system with two and three degrees of freedom.
14. Models of friction dependent on history of a friction process (time of sticking and sign of acceleration, temperature).

 

Terminy zajęć:

Poniedziałki godz. 14:15-18:00, sala 3.14. Pierwsze zajęcia - 17.11.2014.