FUNDAMENTALS OF WAVES AND VIBRATIONS

PRESENTATION:
Waves are everywhere. On water of course, but also in the air as you hear a plane, and under your feet during an earthquake certainly. Vibrations, too, are everywhere In your bike as you go over a bump, in you guitar as you play, and of course in your smartphone. You can guess that there is something in common behind all this. This is exactly the purpose of this course !

ABOUT THE COURSE

So if you want to understand better waves and vibrations, and the relation between them and to use that knowledge in your field, this MOOC is for you. We are going to consider any possible domains of applications such as civil engineering, aerospace engineering, plant biomechanics, and many others ! This is why we called the course “fundamentals of waves and vibrations”. There are so many phenomena and so many models that we need to work with you on the basic mechanisms. We look forward to see you in the course, and work together !

See also our related course on the couplings between fluids and solids.

SYLLABUS

SIMPLE WAVES
Teaser
Welcome to the course
About waves and vibrations
Continuous solid systems
Continuous fluid systems
Non-dispersive waves
Sound and tsunamis
Research topics: Aeroacoustics
Quiz
COMPLEX WAVES
Dispersive waves
Beams and ship waves
Guided waves
Seismic waves
Lab session : wave flume
Research topic: ship wakes
Quiz
MODES
Reflections
Modes
Mode orthogonality
Modal superposition
Lab session: waves and modes
Research topic : shocks in bars
Quiz
MORE MODES
Beam modes
Sloshing modes
Acoustic modes
Modes of structures
Lab session: moving a building
Research topic: new loudspeakers
Quiz
OSCILLATORS
The oscillator equation
The general solution
A free oscillator
A forced oscillator
A damped free oscillator
A damped forced oscillator
Random excitations
Research topic: vibrations in plants
Quiz
DYNAMICS USING MODES
Dynamics using modes
Modal truncation
Beam dynamics
Lab session : frequencies and dampings
Research topic : fluid-structure interaction
Quiz
Final video