Program Overview

FUNDAMENTALS OF WAVES AND VIBRATIONS

The FUNDAMENTALS OF WAVES AND VIBRATIONS course is designed to provide a comprehensive understanding of waves and vibrations, and their relation to various fields of application.

Presentation

Waves are ubiquitous, appearing in water, air, and solid objects. Vibr{{{}{ations}}}} are also everywhere, from the vibrations of a bike when going over a bump to the vibrations of a guitar when played. This course aims to explore the commonalities behind these phenomena.

About the Course

The course is intended for undergraduate and graduate students, engineers, scientists, and anyone interested in understanding waves and vibrations. It covers various domains of application, including civil engineering, aerospace engineering, and plant biomechanics. The course focuses on the basic mechanisms of waves and vibrations, providing a foundation for further study and application.

Syllabus

The course syllabus includes the following topics:

• 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

Course Details

• Start date: 11/4/2019
• Duration: 6 weeks
• Rhythm: 2-3 hours/week
• Prerequisites: The course is mainly intended for undergraduate and graduate students, but also for engineers, scientists, and curious minds in general.
• Discipline: Mechanics Physics
• Course language: English

Teachers

The course is taught by the following instructors:

• Amandolčse Xavier
• De Langre Emmanuel
• Doaré Olivier
• Semblat Jean-François