Duration
26h Th, 26h Pr, 30h Proj.
Number of credits
Lecturer
Language(s) of instruction
English language
Organisation and examination
Teaching in the first semester, review in January
Schedule
Units courses prerequisite and corequisite
Prerequisite or corequisite units are presented within each program
Learning unit contents
This course provides a solid background in vibration theory for engineering applications.
Course outline
- Introduction and analytical dynamics of discrete systems
- Undamped vibrations of n-degree-of-freedom systems
- Damped vibrations of n-degree-of-freedom systems
- Continuous systems: bars, beams and plates
- Approximation of continuous systems by displacement methods; Rayleigh-Ritz and finite element method
- Solution methods for the eigenvalue problem
- Direct time-integration methods
- Introduction to nonlinear dynamics
Learning outcomes of the learning unit
The objective of the course is to focus on analytical and computational methods for predicting the dynamic response of practical engineering structures. Special attention is devoted to aerospace, mechanical and civil engineering structures.
Prerequisite knowledge and skills
This course requires basic knowledge of fundamental calculus and differential equations. The course also requires a mastery of introductory dynamics and mechanics.
Planned learning activities and teaching methods
One project will be assigned to the students. It will give hands-on practice with methods used in structural dynamics (e.g., the finite element method, Newmark's algorithm, component mode synthesis).
Mode of delivery (face to face, distance learning, hybrid learning)
face-to-face and distance learning (see organizational remarks).
Organisational adjustments related to the current health context
If the sanitary conditions do not allow to be present at the university, the exam will be organised orally by visio-conference.
Recommended or required readings
M. Géradin, D. Rixen
Mechanical Vibrations - Theory and Application to Structural Dynamics.
John Wiley & Sons, 2015
ISBN 978-1-118-90020-8
Assessment methods and criteria
Below you will find information on the evaluation methods planned for in-person and remote exams as well as those planned for hybrid sessions. Depending on how the health crisis evolves, the chosen method will be communicated to you no later than one month before the start of the exam session.
The final grade will be based on the project report and a written exam:
1. The project has to be done individually or by group of maximum 2 students. The grade will be based on the results and the quality of the report (scientific and technical content, conciseness, structuring of the written report and clarity of the text). An oral presentation will be organised at the end of the project.
2. The written exam will consist in answering to questions on the theoretical concepts explained during the lectures. No document is allowed for the written exam.
The assessment is based on the weighted geometric average of the project and the written exam. The final note is calculated as follows:
Final note = (Project)^(0.6) * (Theory)^(0.4)
There is no partial exemption in case of failure.
Work placement(s)
Organizational remarks
Course materials
All the course materials are available on eCampus. Each lecture will be recorded and podcasted on MyUliege.
Organisation
Students will be divided into 2 groups (A and B). Registration can be done at the adress https://doodle.com/poll/dhpgnd3kdfsameu5. The groups will be present in the auditorium alternately.
Lectures
- From 9h to 10h30: the lecture will start by a question/answer session on the subject presented at the lecture of the previous week; then a new subject will be briefly presented, without entering in the mathematical details. It is expected from the students that they read the corresponding chapters of the reference book each week in order to understand the theoretical concepts and to be able to interact during the question/answer session.
- From 11h to 12h30: question/answer session concerning the project.
A forum is available on eCampus to ask questions on all the course materials at any time.
Adaptations
Students who want to attend the course but who are not yet registered on MyULiege are invited to send an e-mail to Laura Prijot (l.prijot@uliege.be).
If the sanitary conditions would change, the organisation of the course could be adapted.
Contacts
Jean-Claude Golinval (JC.Golinval@uliege.be)
Assitant : Laura Prijot (l.prijot@uliege.be)