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. It presents the theory of vibrations in the context of structural analysis and covers applications in mechanical and aerospace engineering. The course strongly relies on the book "Mechanical Vibrations: Theory and Application to Structural Dynamics" by M. Geradin and D. Rixen.
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
- Direct time-integration methods
- Solution methods for the eigenvalue problem
- 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.
This course contributes to the learning outcomes I.1, I.2, II.1, II.2, III.1, III.2, III.3, IV.1, IV.3, VI.1, VI.2, VII.2, VII.3, VII.4, VII.5 of the MSc in aerospace engineering.
This course contributes to the learning outcomes I.1, I.2, II.1, II.2, III.1, III.2, III.3, IV.1, IV.3, VI.1, VI.2, VII.2, VII.3, VII.4, VII.5 of the MSc in mechanical engineering.
This course contributes to the learning outcomes I.1, I.2, II.1, II.2, III.1, III.2, III.2, III.3, III.3, IV.1, VI.1, VI.2, VII.2, VII.3, VII.4, VII.5 of the MSc in engineering physics.
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 is 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 course
Course materials and 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
Exam(s) in session
Any session
- In-person
written exam ( open-ended questions ) AND oral exam
Written work / report
Further information:
Exam(s) in session
First session
The final grade will be based on the project report, its oral presentation and a written exam on the theory:
1. The project has to be done individually or in groups of a maximum of two 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 of answering questions on the theoretical concepts explained during the lectures and questions related to the project. No document is allowed for the written exam.
Second session
1. A simplified version of the project with new data has to be done individually. 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. A written or oral exam is organised depending on the number of students in the second session. It consists of answering questions on the theoretical concepts explained during the lectures and questions related to the project. No document is allowed for the exam.
Final Grade
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)
Organisational remarks and main changes to the course
The organisation is presented in details during the first lecture.
Contacts
Loïc Salles l.salles@uliege.be
Assistant : Olivier Devigne o.devigne@uliege.be