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Advanced Dynamics
Last Updated: 2026-06-03 00:14:36
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 To achieve the required 20 credit points for the Focus Specialization Design, Mechanics and Manufacturing, all of the courses listed can be selected. If required, one course from another focus specialization or from the electives of the ME Bachelor program can be selected. For recommended courses and further information, please visit the MAVT website for Focus Specialization ( ).)
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Core Courses (The Core Courses in the Master’s program Mechanical Engineering listed below are indicative and include courses designed by the Department at the Master's level. With the approval of the tutor, students may also select Master's-level courses offered by other departments at ETH. These courses will be marked as non-regular in the LAG, but their categorization as Core Courses is possible if included in the approved LAG.)
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Deep Track Courses (At least 20 credits must be completed within the deep track courses. Surplus credit points can be counted towards the electives.)
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Deep Track Robotics (These courses can be credited either as a specialization subject or as an elective subject.)
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