Advanced Dynamics
Holders: Prof. Boltežar Miha, Assoc. Prof. Čepon Gregor
Subject description
Subject description:
Lagrangian mechanics: statics and dynamics. Principle of Virtual Work, generalized coordinates, d’Alembert principle, Lagrangian equations of the 2nd order, Hamiltonian approach for conservative systems.
Vibrations of the SDOF systems: periodic excitation (Fourier series) and impulse excitation (convolution).
Vibrations of the MDOF systems: Free vibrations-eigen value problem, eigen-frequencies and eigen-vectors, modal transformation; the response in modal coordinates. Forced vibrations: undamped and damped response, response in modal coordinates.
Vibrations of continuous systems: lateral vibrations of string, torsional vibrations of shaft and flexural vibrations of beam – Euler Bernoulli theory. Natural frequencies and modal shapes. Boundary conditions.
Real industrial cases.
