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151-0534-00L 4 Credits BSC , MSC D-ITET , D-MAVT , D-INFK , D-PHYS , D-ERDW
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Advanced Dynamics

Lecturers & Examiners: Dr. Paolo Tiso
VVZ CR n/a

Last Updated: 2026-06-01 11:33:46

Abstract

Lagrangian dynamics - Principle of virtual work and virtual power - holonomic and non holonomic contraints - 3D rigid body dynamics - equilibrium - linearization - stability - vibrations - frequency response

Objective

This course provides the students of mechanical engineering with fundamental analytical mechanics for the study of complex mechanical systems .We introduce the powerful techniques of principle of virtual work and virtual power to systematically write the equation of motion of arbitrary systems subjected to holonomic and non-holonomic constraints. The linearisation around equilibrium states is then presented, together with the concept of linearised stability. Linearized models allow the study of small amplitude vibrations for unforced and forced systems. For this, we introduce the concept of vibration modes and frequencies, modal superposition and modal truncation. The case of the vibration of light damped systems is discussed. The kinematics and dynamics of 3D rigid bodies is also extensively treated.

Resources

Lecture Notes

Lecture notes are produced in class and are downloadable right after each lecture.

Literature

The students will prepare their own notes. A copy of the lecture notes will be available.

General Information

Language
English
Levels
BSC , MSC
Frequency
Yearly recurring

Examination

Type
session examination
Mode
oral 30 minutes

Course Components

Type Title Time & Place Hours
lecture Advanced Dynamics
  • Tue 10:15-12:00 (CAB G 11)
  • Wed 12:15-13:00 (CAB G 11)
3 h weekly
exercise Advanced Dynamics
  • Wed 13:15-14:00 (CAB G 11)
1 h weekly

Offered In