Dynamics, vibrations and control of structures

Simulation and numerical solution of problems of dynamics and vibrations of structures with introduction to the design and control of dynamical systems. Linear s-dof oscillator (free response, eigenfreequency, damping, forced vibration). Discrete m-dof oscillators (simulation, eigenmodes, eigenfreequencies, modal anaysis). Analytical dynamics (restrictions, virtual work principle, Lagrange equations, Hamilton principle). Continuous medium.

Objectives

After attending the class the participants will be able to solve simple and more complicated dynamical problems (especially structural problems) in time or frequency domain. For the solution classical theories and tools are used.

Prerequisites

Basic knowledge of physics and static analysis.

Syllabus

Dynamical systems modeling techniques Response of dynamical systems Structural dynamics Steady state response Modal analysis Modeling theories Vibrations