5 credits
30.0 h + 30.0 h
Q2
Teacher(s)
Coyette Jean-Pierre; Delannay Laurent;
Language
English
Prerequisites
Student must master basic skills in the mechanics mechanics of deformable solids as taught in the course LMECA1100. In particular, they must be able to compute the static deflexion of elastc beams (beam theory).
Main themes
- Mathematical modelling of discrete and continuous systems, degrees of freedom, (non)linearity, stiffness, damping.
- Eigenvalue problems for discrete and continuous linear systems
- Forced response : frequency response functions, resonance, antiresonance.
- Specific investigation of vibration isolation and measurement devices.
Aims
At the end of this learning unit, the student is able to : | |
| 1 | In consideration of the reference table AA of the program "Masters degree in Mechanical Engineering", this course contributes to the development, to the acquisition and to the evaluation of the following experiences of learning:
Introduceh students to the specific techniques of mechanical vibrations, via simplified models. Apply these techniques to important basic applications : suspensions, vibration isolation, measurement devices, vehicles, structures. |
The contribution of this Teaching Unit to the development and command of the skills and learning outcomes of the programme(s) can be accessed at the end of this sheet, in the section entitled “Programmes/courses offering this Teaching Unit”.
Content
The mathematical models studied follow a gradually increasing complexification, both as regards number of degrees of freedom and physical terms involved.
The course is subdivided into three main parts :
The course is subdivided into three main parts :
- Linear 1-degree-of-freedom systems : undamped free vibrations, harmonic oscillator, damped vibrations, forced vibrations, applications, vibration transmission to foundations, vibration isolation, measurement devices.
- Linear N-degree-of-freedom systems : undamped free vibrations, eigenvalue problem, normal modes of vibration, modal analysis, orthogonality, damped free vibrations, forced vibrations, anti-resonance, vibration absorbers, modal truncation, approximative methods in modal analysis (Rayleigh, Rayleigh-Ritz, ')
- Continuous systems : eigenvalue problem, boundary conditions, free vibrations of strings, shafts, beams, membranes, plates.
Teaching methods
Variational approach : approximative methods in modal analysis (Rayleigh, Rayleigh-Ritz).
Online resources
http://icampus.uclouvain.be/claroline/document/document.php?cidReset=true&cidReq=LMECA2410_001
Lecture notes written in English by the teachers are available on icampus
Lecture notes written in English by the teachers are available on icampus
Bibliography
- Meirovith, Analytical methods in Vibrations
- Tse, Morse, Hinkle, Mechanics Vibrations.
- Lalanne, Berthier, Der Hagopian, Mechanical Vibrations for Engineers.
- Craig R.R., Structural Dynamics.
- Dimaragonas, Vibration for Engineers.
- Geradin, Rixen, Théorie des Vibrations. Matière : Dynamique appliquée : 50.14.
- Les notes de cours (syllabus et transparents) écrites par les enseignants sont disponibles sur icampus
Faculty or entity
MECA
