Vibrations des systèmes discretsGénie Mécanique 2 (GSI)

• Model mechanical oscillating systems of mass-spring-shock absorbers.

The course is divided into two chapters:

1. Systems with a degree of freedom

1.1 Free vibrations: conservative systems, dissipative systems.

1.2 Harmonic forced response: force-imposed excitement, motion-driven excitement of supports, notions of periodic excitement.

1.3 Transitional response: forced force excitation, motion excitation of supports.

2. Multi-degree systems of freedom

2.1 Two-degree systems of freedom: free vibration and vibration modes, harmonised forced response.

2.2 Systems with several degrees of freedom: vibration modes, principle of modal decomposition, case of dissipative systems, digression on the notion of excitation by motion of supports.

Table examination with a hand-written sheet A4 and a licensed college-type calculator

1. S. Timoshenko and D. H. Young and W. Weaver (1990), Vibration Problem in Engineering, John Wiley and Sons, Inc.
2. K.G. Graff (1991), Wave Motion in Elastic Solids, London, Oxford University Press.
3. Mr. Géradin and D. Rixen (1994), Mechanical Vibrations: Theory and Application to Structural Dynamics, Paris, Wiley.
4. G. Kelly (2000), Mechanical Vibrations, Theory and Applications, 2nd edition, McGraw-Hill.
5. G. Duffy (2015), Green