Engineering Dynamics

The dynamic behavior of structures (and systems in general) plays an essential role in engineering mechanics and in particular in the design of controllers. In this master course, we will discuss how the equations describing the dynamical behavior of a structure and of a mechatronical system can be set up. Fundamental concepts in dynamics such as equilibrium, stability, linearization and vibration modes are discussed. If time permits, also an introduction to numerical integration techniques is proposed.

The course will discuss the following topics:

--Review of the virtual work principle and Lagrange equations

--Linearization around an equilibrium position: vibrations

--Free vibration modes and modal superposition

--Forced harmonic response of nondamped and damped structures

-- Introduction to time integration techniques