teaching: Acoustics, mechanics, Vibrations, analytical mechanics

Teaching page of Catherine POTEL

TEACHING

MECHANICS, VIBRATIONS, ACOUSTICS, SCIENTIFIC AND TECHNICAL EXPRESSION

Version française

Mechanics - Vibrations

Mechanics of the point. Mechanics of the rigid solid. Vibration 1 degree of freedom (harmonic oscillators) -

Bachelor level (Bac+1, +2)

Download duplicated lecture notes (in french)

Analytical mechanics - Master level (Bac+4) -
What is Mechanics ? Click on the image...

Scientific and Technical Expression - all levels -

Acoustics in fluids and isotropic solids

Bachelor's and Master levels (Bac+2, +3, +4, +5)

Download slides associated to the course (in french or in english)
Some animations

What is Acoustics? Click on the image...

Acoustics in anisotropic solid media and in multilayered media

Master level (Bac+5)

Download slides associated to the course (in english)

Training in Mechanics and Acoustics at Université du Maine

How to join me?

Home page

MECHANICS OF THE POINT AND OF THE RIGID SOLID - VIBRATIONS

1st year

Bachelor level
(Bac+1)

Courses of Mechanics of the point and Vibrations by C. Potel (Université du Maine) and Ph. Gatignol (Université de Technologie de Compiègne). In french

Content. PDF - 55 Ko
Introduction. PDF - 290 Ko
Greek alphabet. PDF - 27 Ko
Chapter 1. Mathematical tools: vectors and referentials of space. PDF - 140 Ko
Chapter 2. Kinematics of point. PDF - 433 Ko
Chapter 3. Forces : physical laws. PDF - 182 Ko
Chapter 4. Dynamics of material point. PDF - 220 Ko
Chapter 5. Energy in the mechanics of the material point. PDF - 365 Ko
Chapter 6. Vibrations - Harmonic oscillators. PDF - 3.64 Mo

2nd year

Bachelor level
(Bac+2)

Courses of Mechanics of rigid solid by C. Potel (Université du Maine) and Ph. Gatignol (Université de Technologie de Compiègne). In french

Content. PDF - 74 Ko
Introduction. PDF - 290 Ko
Greek alphabet. PDF - 27 Ko
Chapter 1. Kinematics of solid. PDF - 686 Ko
Chapter 2. Mechanical connexions - Model. PDF - 357 Ko
Chapter 3. Statics of mechanical systems. PDF - 91 Ko
Chapter 4. Dynamics of the solid. PDF - 2.27 Mo
Chapter 5. Energy in the mechnics of the solid. PDF - 421 Ko

This course is teached in DEUST Vibration Acoustique Signal processing (VAS). Web site : http://www.univ-lemans.fr/progens/deustvas/

These duplicated lecture notes are based upon duplicated lecture notes on general mechanics written with Philippe Gatignol (Professor in charge of the course at Université de Technologie de Compiègne, UTC) - 1st edition march 1997. Content.

ACOUSTICS IN FLUIDS AND IN ISOTROPIC MEDIA

C. POTEL, M. BRUNEAU, General Acoustics - differential and integral equations, solutions in fluid and solid media, applications (in french : Acoustique Générale - équations différentielles et intégrales, solutions en milieux fluide et solide, applications), Ed. Ellipse collection Technosup, 352 pages, ISBN 2-7298-2805-2, 2006., edited again in October 2016

Some animations here.

Contents of the book

Slides corresponding to the course and based upon the book, download. Chapters 1, 2, 3, 4 and 8 are translated in english, but it is not my mother tongue...

Chapter 1. Acoustics and its applications: generalities. In english. PDF - 3.06 Mo
Chapter 2. Physiological acoustics, the decibel. In english. PDF - 1.84 Mo
Chapter 3. Analytical formulation of fundamental problems in acoustics in fluid media: the fundamental laws. In english. PDF - 1.00 Mo
Chapter 4. Analytical formulation of fundamental linear problems in homogeneous, time independent fluid media at rest: fundamental solutions in cartesian coordinates. In english. PDF - 3.26 Mo
Chapter 5. Analytical formulation of fundamental linear problems in homogeneous, time independent fluid media at rest: fundamental solutions in cylindrical coordinates. PDF - 1.45 Mo
Chapter 6. Analytical formulation of fundamental linear problems in homogeneous, time independent fluid media at rest: fundamental solutions in spherical coordinates. PDF - 1.32 Mo
Chapter 7. Integral formulation of boundary problems for acoustics in fluid media. PDF - 4.26 Mo
Chapter 8. Elastic waves in isotropic media. Application to ultrasonic Non Destructive Testing. In english. PDF - 2.63 Mo

Cours teached (partially) in the Professional Licence for Acoustics and Vibratory Engineering (LPIAV)
Web site of the licence : http://www.univ-lemans.fr/progens/licpro_acvib/

ANALYTICAL MECHANICS

C. POTEL, Principles and Applications of Analytical Mechanics - Course, corrected exercices, boards of synthesis (in french: Principes et Applications de Mécanique Analytique - Cours, exercices corrigés, planches de synthèse), CEPADUES éditions, 290 pages, 2006, ISBN 2.85428.742.8

Download the slides associated to the course, for readers of the book, on the editor's web site CEPADUES

Contents of the book, in french

Course teached in the 1st year of the master of Mechanics and Acoustics Engineering.

Web site of the master : http://www.univ-lemans.fr/progens/deaacous/

SCIENTIFIC AND TECHNICAL EXPRESSION

Courses of scientific and technical expression (lecture created with Michel Bruneau)

M. BRUNEAU, C. POTEL, The art of the formula explained to the scientists - General recommendations general for the drafting of written documents and the oral presentations (in french: L'art de la formule expliqué aux scientifiques - Recommendations générales pour la rédaction de documents écrits et pour les présentations orales), CEPADUES éditions, 80 pages, 2006, ISBN 2.85428.741.xn , edited again in 2018, with a new title : Présenter un rapport scientifique à l'écrit, à l'oral - Conseils pratiques, 94 pages. ISBN 2364936454

Contents of the book

ACOUSTICS IN ANISOTROPIC SOLIDS AND IN MULTILAYERED MEDIA

Propagation in anisotropic and composite media - application to ultrasonic non destructive testing (courses of the research speciality of the 2nd year of the master Acoustique)

Download the slides associated to the course (in english, but it is not my mother tongue...) - PDF - 3.72 Mo
I. Elastic waves in anisotropic solids
II. Reflection and transmission of monochromatic plane waves
III. Propagation in a single layer
IV. Propagation in a multilayered medium
V. Modal waves: particular case of Lamb waves
VI. Modal waves: particular case of Rayleigh waves
VII. Introduction to ultrasonic Non Destructive Testing (NDT)

Table of contents of "Mechanics" duplicated lecture notes in french (UV PS21 of the UTC):

VECTORS AND REFERENTIALS OF SPACE

Free vectors. Orientation of space
Operations on the free vectors
Basis and components of a vector
Referentials in the physical space

KINEMATICS OF THE POINT: INTRODUCTION - COMPOSITION OF THE MOVEMENTS

Derivative of a vectorial function of a real variable
Derivative of a vectorial function of the time
Moving basis
Velocity and acceleration of a point with respect to a referential
Composition of the movements
Concept of differential and increment of function

KINEMATICS OF THE POINT: PARTICULAR MOVEMENTS

Moving point on a line
Moving point in a plane
General study of the plane trajectories
Study of the trajectories in space
Composition of the movements

FORCES : PHYSICAL LAWS

Actions on a mechanical system
Mathematical representation of a force
Laws of forces : actions at a distance
Laws of forces : actions of contact
Power of a force

SETS OF FORCES - TORQUES

Introduction to the concept of torque
Mathematical theory of the torques
Other examples of torques in mechanics
Power of a set of forces with respect to a referential
Degrees of freedom of the usual perfect connections
Kinematics and transmissible torques of the perfect connections

STATICS OF MECHANICAL SYSTEMS

Fundamental principle of statics
Resolution of a problem of statics

DYNAMICS OF THE POINT

Fundamental principle of dynamics for the material point
Examples of rectilinear movements
Energy study for the movement of the material point
Plane movements in the uniform field of gravity
Movement of planets - Kepler laws

FUNDAMENTAL PRINCIPLE OF DYNAMICS FOR MATERIAL SYSTEMS

Kinetic elements and dynamic elements of a material point
Kinetic torque and dynamic torque of a material system
The fundamental principle of dynamics
General theorems of dynamics
The Fundamental principle of dynamics with respect to a non galilean referential
The theorem of the kinetic energy for a material system

DYNAMICS OF RIGID SOLIDS SYSTEMS

Elements of inertia of a solid
Calculation of the kinetic quantities for a solid
Dynamics of the rigid solid
Dynamics of a rigid solids system - Example
Centre of mass and inertia elements of some usual homogeneous solids

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