Dynamics of elastic systems. [ LMECA1510 ]
5.0 crédits ECTS
30.0 h + 30.0 h
2q
| Teacher(s) |
Coyette Jean-Pierre ;
Delannay Laurent ;
|
| Language |
French
|
Place
of the course |
Louvain-la-Neuve
|
| 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 |
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,
|
| 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 :
- 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. Variational approach : approximative methods in modal analysis (Rayleigh, Rayleigh-Ritz,
).
|
| Other information |
Prequisites :
Analytical mechanics, applied mathematics.
References :
Meirovitch Analytical Methods in Vibrations
Craig, R.R. Structural Dynamics
Dimaragonas Vibration for Engineers
Geradin, Rixen Vibration Theory
|
Cycle et année
d'étude |
> Master [120] in Mechanical Engineering
> Bachelor in Engineering
> Bachelor in Mathematics
> Master [120] in Electro-mechanical Engineering
> Master [120] in Civil Engineering
|
Faculty or entity
in charge |
> MECA
|
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