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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 Electro-mechanical Engineering
> Master [120] in Mechanical Engineering
> Master [120] in Civil Engineering
Faculty or entity
in charge
> MECA


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