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Advanced Dynamics
Last Updated: 2026-02-05 16:37:54
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 |
|
3 h weekly |
| exercise | Advanced Dynamics |
|
1 h weekly |
Offered In
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Design, Mechanics and Manufacturing (Focus Coordinator: Prof. Dennis Kochmann In order to achieve the required 20 credit points for the Focus Specialization Design, Mechanics and Manufacturing you are free to choose any of the courses offered within the focus. If you wish to take one of the Master level courses, you must get approval from the lecturer. One course in addition to those listed can be requested, on approval by the Focus Coordinator.)
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Mechanics, Materials, Structures (The courses listed in this category “Core Courses” are recommended. Alternative courses can be chosen in agreement with the tutor.)
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Robotics, Systems and Control (The courses listed in this category “Core Courses” are recommended. Alternative courses can be chosen in agreement with the tutor. .)
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