FR
EN
Oscillations et vibrationsOutils Scientifiques (ERE)
Séquencement
Learning objectives
Master the basic principles of understanding vibratory phenomena so that they are taken into account in risk governance.
Program
Introduction to vibratory phenomena: • Vibration. • System at one degree of freedom: linear spring of traction or twist. • Linear damper. • Equation of a system to a degree of freedom by applying the fundamental principle of kinetic energy dynamics and theorem.
Free oscillations: • Amplitude of pendulum vibration • Amortized oscillations. Equation of movement. Aperiodic, critical, pseudo-periodic diets • Other oscillators. Torsion hanger. Pendulum heavy.
Forced Oscillations (System to a degree of freedom): • Equation. Transitional system, permanent. Frequency response function. Speed resonance phenomenon, amplitude. Acuity of resonance, quality factor. Dangers of resonance. • Sinusoidal excitation.
Oscillations of coupled systems (Two-degree system of freedom) • Equation in the case of harmonic excitation and appearance of frequency response function. • Introduction to continuous systems and non-harmonic forces.
Vibration safety considerations • Concept of accelerating daily exposure. Standards total body vibration and hand arm vibrations.
Assessment
Control on table (1h30), without document, with calculator.
References
Documents which may be consulted in addition to the course: J. Plusquec, Vibration, Engineering Techniques, 2004 (76p). D.J. Inman, Engineering Vibration, Prentice Hall, 1996 (720p). C. Lalanne, Vibration and Mechanical Shocks, Volume 1: Sine Vibration, Hermès science publication, 1999 (349p). Folder Risk Vibration, INRS, http://www.inrs.fr/risques/vibrations/ce-qu-il-faut-retenir.html.
Skills
8| Ref. | Verb | Description | Level |
|---|---|---|---|
| C10 | demonstrate | Determine the equation of movement from the fundamental principle or an energy theorem | 2 |
| C10 | define | Define the concept of daily exposure acceleration and link its value, the risk to the operator and the vibration standard | 2 |
| C10 | calculate | Calculate for a given situation the level of acceleration of daily exposure and conclude with respect to compliance with the standard | 2 |
| C10 | demonstrate | Calculate the equilibrium position of a 1ddl mechanical system | 2 |
| C10 | analyze | Put a motion equation as an oscillator equation and identify associated standardized parameters | 2 |
| C10 | solve | Determine from experimental data estimates of clean pulse and damping of a 1ddl system | 2 |
| C10 | define | Define 3 types of possible oscillators based on standard parameters | 3 |
| C10 | solve | Determine the frequency response (module and phase shift) of a damped oscillator subjected to harmonic loading | 2 |