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| MECA0029-1 | Mechanical Vibrations
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| Duration : | 30h Th, 30h Pr |
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| Credits/ECTS : |
| Master in Aerospatial Engineering, in-depth approach, 1st year | | First semester | | 5 |
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| Master in Mechanical Engineering, in-depth approach, 1st year | | First semester | | 5 |
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| Master in Engineering Physics, in-depth approach, 2nd year | | First semester | | 5 |
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| Master in Aerospace Engineering, Professional Focus (Management), 1st year | | First semester | | 5 |
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| Master ingénieur civil mécanicien, à finalité spécialisée en technologies durables en automobiles, 1st year | | First semester | | 5 |
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| Master in Mechanical Engineering, specialized approach, 1st year | | First semester | | 5 |
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| Holder(s) : | Jean‑Claude Golinval |
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| Language : | French language |
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| Course 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
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| Course objective : | 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. |
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| Prerequisites : | This course requires basic knowledge of fundamental calculus and differential equations. The course also requires a mastery of introductory dynamics and mechanics. |
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| Workshops : | 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). |
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| Organization : | 1st Quadrimester |
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| Assessment : | The final grade will be based on the project report and the oral exam:
1. Group of two students will be assigned a project. 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).
2. During the oral exam, the students will have to show a solid knowledge of the course materials. A special attention will be devoted to the understanding of the different concepts. The oral exam will also include the individual presentation of the project report. It will be organized as follows:
- Written preparation: 30 minutes.
- Discussion: 10 minutes.
- Presentation of the project report: 10 minutes.
Student assessment criteria:
- Project report: 40%.
- Oral exam: 60%.
September exams: same terms, but, if the grade of the project report is below 12/20, the student will be assigned a new project. |
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| Contacts : | Jean-Claude Golinval (JC.Golinval@ulg.ac.be)
Maxime Peeters (M.Peeters@ulg.ac.be) |
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| Items online : |
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| Copy of the slides |
| A copy of the slides used during the lectures is available on the students'portal myULg. |
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