L2-L3 LICENCE MECANIQUE

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This course will approach, in the continuity of the analysis course of S2, the notion of series with terms of any sign. The Riemann integral will be defined and applied to treat differential equations, especially linear ones. The integration part will be extended to generalized integrals.

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This module is a basic module on the physical properties of materials and techniques for the design of mechanically simple components or systems.

The properties of materials are discussed through tensile testing, binary diagrams and microstructure.

Component dimensioning includes the choice of the most suitable material, the definition of the geometry to ensure static and fatigue resistance. The dimensional analysis approach also makes it possible to determine the characteristics of a more complex system from experiments carried out on a scale model.

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This module is a basic module on the physical properties of materials and techniques for the design of mechanically simple components or systems.

The properties of materials are discussed through tensile testing, binary diagrams and microstructure.

Component dimensioning includes the choice of the most suitable material, the definition of the geometry to ensure static and fatigue resistance. The dimensional analysis approach also makes it possible to determine the characteristics of a more complex system from experiments carried out on a scale model.

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This course will cover the notions of symmetric group, determinants and will deal with the reduction of endomorphisms in finite dimension (up to Jordan form) and its applications. It is a first step towards spectral analysis.

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This unit concerns the study of the mechanics of rigid solids. It is the natural continuation of the unit devoted to the kinematics and statics of rigid solids in L1. This unit will place us in a dynamic framework and apply the Fundamental Principle of Dynamics. The writing of this principle requires the knowledge of the torsor of the external actions, studied in L1 but also the knowledge of the dynamic torsor. The latter can be calculated with the help of the kinetic torsor which, for a rigid solid, uses the notion of moment of inertia. The main applications studied in this unit concern the rigid solid or simple cases of articulated systems of rigid solids. In addition, we will study the particular case of contact and friction actions (Coulomb friction) and we will approach the Kinetic Energy Theorem.

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This course is the first step in the teaching of electromagnetism at the university. Electrostatics, stationary currents and magnetostatics are covered.

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This course will cover the particularities of floating-point calculus and then detail common elementary numerical methods for solving nonlinear equations, interpolating a function and approximating an integral. The student will learn how to implement an algorithm to solve a numerical analysis problem.

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This course will cover the notions of sequences and series of functions and the various convergences. Integer and Fourier series will also be developed.

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In this course, an introduction to the topology of R^n, the basic notions of differential calculus of functions of R^n in R and in optimization will be covered. Parametric curves will also be covered.

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This course is an introduction to bilinear algebra and will cover Euclidean and Hermitian spaces. It will deal with isometries, duality, quadratic forms and endomorphisms.

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The first part of this course aims to consolidate the notions of magnetostatics and to establish the relations of the passage of the electromagnetic field at the interface of a plane of charges or current. We also introduce the expression of Laplace forces (force and moment) acting on volumetric or filiform circuits. The second part is devoted to the properties of fields and potentials in the variable regime. After introducing Faraday's law describing induction phenomena, we establish Maxwell's time-dependent equations. An energy treatment allows us to define the electric and magnetic energies, as well as the Poynting vector. We apply these concepts to different examples such as electromechanical conversion or induction heating via eddy currents. A final chapter is devoted to the propagation equations of fields and potentials, and their application in vacuum-like systems, as well as in perfect conductors and insulators. The notion of skin depth is also introduced.

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This course will enable students to discover the various careers in mathematics through presentations of job opportunities, thematic conferences and round tables.

For students who have a pre-professionalization contract, the UE accompanies their activity in the institution, providing some elements intended to enrich their observation and to give them perspective. It is also a question of preparing the written work that they will have to submit.

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This module is a basic module on the physical properties of materials and techniques for the design of mechanically simple components or systems.

The properties of materials are discussed through tensile testing, binary diagrams and microstructure.

Component dimensioning includes the choice of the most suitable material, the definition of the geometry to ensure static and fatigue resistance. The dimensional analysis approach also makes it possible to determine the characteristics of a more complex system from experiments carried out on a scale model.

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This ECUE provides knowledge of the different manufacturing processes (Machining, Foundry, Forge, Plastics....).

It also allows the acquisition of the classical drawing rules for mechanical parts in accordance with the most common methods of obtaining the raw materials.

On the basis of a specification and/or a definition drawing, students must be able to: choose a manufacturing or assembly process by carrying out the layout related to the process.

They must also be able to produce a prototype by traditional machining or on a "rapid prototyping" NC machine, and to check the specifications during and after machining. They will also learn about foundry and welding during a practical course.

Finally, it allows the future designer to become aware of the problems encountered in the methods office when producing parts from a definition drawing.

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This module is a basic module on the physical properties of materials and techniques for the design of mechanically simple components or systems.

The properties of materials are discussed through tensile testing, binary diagrams and microstructure.

Component dimensioning includes the choice of the most suitable material, the definition of the geometry to ensure static and fatigue resistance. The dimensional analysis approach also makes it possible to determine the characteristics of a more complex system from experiments carried out on a scale model.

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This unit concerns the study of the mechanics of rigid solids. It is the natural continuation of the unit devoted to the kinematics and statics of rigid solids in L1. This unit will place us in a dynamic framework and apply the Fundamental Principle of Dynamics. The writing of this principle requires the knowledge of the torsor of the external actions, studied in L1 but also the knowledge of the dynamic torsor. The latter can be calculated with the help of the kinetic torsor which, for a rigid solid, uses the notion of moment of inertia. The main applications studied in this unit concern the rigid solid or simple cases of articulated systems of rigid solids. In addition, we will study the particular case of contact and friction actions (Coulomb friction) and we will approach the Kinetic Energy Theorem.

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This module is a continuation of the HLME303 module and introduces the first analysis tools necessary for the implementation of a design approach for mechanical systems. It aims to provide methods for the analysis and design of mechanical systems built on the most common technological components.

This module is based solely on lectures and practical work, but maintains a strong interaction with the HLME401 "Technology Project" module in order to put into practice all the acquired skills on a case study. First, the main methods of modelling mechanical systems (functional analysis, kinematic diagram) will be addressed. Then, we will be interested in the essential technological components used to carry out rotational guidance (plain bearings) or to transmit power (belt, gear).

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This project allows students, coming from different initial training, to apply the theoretical and/or technological notions seen before and in the other modules of the training, within the framework of the study of a proposed mechanical system or of their choice (after validation).

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This course will enable students to discover the various careers in mathematics through presentations of job opportunities, thematic conferences and round tables.

For students who have a pre-professionalization contract, the UE accompanies their activity in the institution, providing some elements intended to enrich their observation and to give them perspective. It is also a question of preparing the written work that they will have to submit.

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This first module of Fluid Mechanics aims at providing basic elements on the behaviour of industrial fluids (air, water, hydraulic fluid) in order to dimension simple systems involving static or dynamic fluids (flow rates, pressure, speed, pressure drops,...). The emphasis is on the study and design of hydraulic installations.

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In a first part: to deepen the basic notions of differential calculus seen in L2.

In a second part: introduce the qualitative study of differential equations.

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The resistance of materials (RoM) is a particular discipline of the mechanics of continuous media allowing the calculation of stresses and strains in slender structures made of different materials (machines, mechanical engineering, building and civil engineering). It is a 1D static modelling of a deformable solid assimilated to a beam linked to a frame and subjected to external mechanical stresses.

The RoM allows the study of the global behaviour of a structure (relationship between stresses - forces or moments - and displacements) to be reduced to that of the local behaviour of the materials composing it(relationship between stresses and strains). Mechanical stresses can be seen as " cohesive forces " of the material. The deformations of a physical object can be observed by a variation in its dimensions or in its overall shape.

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The objective of this course is to give an introduction to numerical tools for solving partial differential equations from different fields of engineering. We will deal with the spectral method applied to the heat diffusion equation in a bar and the development of codes based on this technique. In particular, students will be required to implement this method in Python in order to integrate the basics of this language and the versioning tools. The documents submitted by the students will be produced using the Latex word processor.  

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Rheology is the study of the deformation and flow of materials under the effect of an applied mechanical load. In the field of materials, this science concerns in particular the following areas

            - Viscoelasticity

            - Plasticity

            - Viscoplasticity

            - Non-Newtonian fluids

In practice, rheology allows the characterisation of macroscopic mechanical properties of materials whose behaviour escapes the classical theories of the elastic solid and Newtonian fluids (with constant viscosity). Such materials can thus be considered as having an intermediate behaviour between the solid and the fluid, between the elastic and the viscous.

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This course aims to introduce the basics of physical hydrodynamics. The kinematic aspects are treated in a first step: Euler and Lagrange formalism, analysis of the motion of an element of fluid volume, introduction of the current and potential velocity functions, and applications to different types of flows. In the next part of fluid dynamics, we establish Euler's equation and Bernoulli's relation for the flow of perfect fluids, then the Navier-Stokes equation describing the flow of viscous Newtonian fluids. This part will lead us to define the stress tensor and the Reynolds number which allow us to deduce the laminar or turbulent character of a flow. The course ends with an introduction to the mechanics of deformable solids: displacement field, expansion and deformation tensor.

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Acquire basic notions in numerical methods for differential equations

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Project assigned to a group of two to three students, supervised by a tutor. Weekly meetings to follow up, help with the writing of a report and an oral presentation. The work is spread over a semester and ends with the submission of a report and a presentation.

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The objective of this course is the modelling of continuous solid media by restricting itself, for a first approach, to elastostatics under the hypothesis of small perturbations. In this course we will find the application of the fundamental principle of statics to deformable solids. The following concepts are introduced for this purpose: tensors and tensor fields, algebra and tensor analysis, boundary problems, fundamental principle of statics, virtual power principle. The techniques of analytical solutions of classical problems and energy approaches will be covered. This course is fundamental in the training of students in mechanics, both those who go on to design and conception and those who go on to R&D.

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Research & Development (R&D) is both the product of teamwork and individual talent, all in the service of innovation (applied research) and knowledge (fundamental research). The themes are diverse and varied, but a certain methodology is necessary to tackle any R&D problem.

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This course provides the basic tools necessary for the functional dimensioning of mechanical systems. After presenting one-dimensional dimensioning and its limits, "3D" geometric tolerancing (GPS), according to ISO standards, is introduced in order to learn how to read and then write a geometric tolerance according to the functional requirements of a part in a mechanical system. The study of the hyperstaticity of the mechanism and the connections then allows the functional conditions required to ensure the assembly and the correct operation of the system to be established. The determination of the dimensional and geometric tolerances is then carried out with the help of the implementation and resolution of dimensional chains. Finally, once the parts have been produced, it is necessary to carry out metrological control and to check their conformity with the functional dimensioning.

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This first module of Fluid Mechanics aims at providing basic elements on the behaviour of industrial fluids (air, water, hydraulic fluid) in order to dimension simple systems involving static or dynamic fluids (flow rates, pressure, speed, pressure drops,...). The emphasis is on the study and design of hydraulic installations.

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This teaching unit is a first advanced module of mechanical design. It provides tools for the discriminating choice of technologies responding to the classical functions of mechanisms (embedding and rotational guidance by bearings), from a partially provided functional specification, industrial documentation and regulatory standards. This course will be completed by practical work on the analysis of existing mechanisms and on the design of basic technological solutions.

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This course is designed to introduce students to project management, taking into account the major issues of company performance. The student is put in a position to manage the key phases of the product design process.

This project-based teaching allows for the detailed analysis of each phase of the design process in the form of case studies. The student thus learns the methods of generating an idea (creativity, functional analysis) up to the generation of the product architecture.

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The resistance of materials (RoM) is a particular discipline of the mechanics of continuous media allowing the calculation of stresses and strains in slender structures made of different materials (machines, mechanical engineering, building and civil engineering). It is a 1D static modelling of a deformable solid assimilated to a beam linked to a frame and subjected to external mechanical stresses.

The RoM allows the study of the global behaviour of a structure (relationship between stresses - forces or moments - and displacements) to be reduced to that of the local behaviour of the materials composing it(relationship between stresses and strains). Mechanical stresses can be seen as " cohesive forces " of the material. The deformations of a physical object can be observed by a variation in its dimensions or in its overall shape.

See full page

Rheology is the study of the deformation and flow of materials under the effect of an applied mechanical load. In the field of materials, this science concerns in particular the following areas

            - Viscoelasticity

            - Plasticity

            - Viscoplasticity

            - Non-Newtonian fluids

In practice, rheology allows the characterisation of macroscopic mechanical properties of materials whose behaviour escapes the classical theories of the elastic solid and Newtonian fluids (with constant viscosity). Such materials can thus be considered as having an intermediate behaviour between the solid and the fluid, between the elastic and the viscous.

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This UE closes the teaching of technology of the Bachelor of Mechanics, CDPI course, composed of 4 modules. It aims to provide tools for understanding and sizing complex mechanical systems (automatic gearboxes, power transmission mechanisms, etc.).

This module is based for half on lectures/DD in order to study the pulley-belt systems, clutches/brakes and pre-stressed systems with applications on preloaded bearing assemblies. In parallel, the teaching is based on practical work on the analysis of various mechanical systems (CVT gearbox, automatic gearbox, brake, clutch, preloaded bearing assembly, etc.), as well as on practical work on the analysis of the various mechanical systems. ), as well as on design practical work in order to implement the acquired skills on specific case studies.

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This course is a core module in mechanical design technology. It allows the application of the concepts of dimensioning of standard components seen mainly in the technology courses in L2 (introduction to mechanical design) and L3 (structure and dimensioning, mechanical design 1 and 2) in the case of existing mechanical systems. It also indirectly calls upon all the other UEs of mechanics of the rigid and deformable solid seen mainly in L2 and L3.

The emphasis is on the discovery and comparison of real technological solutions, allowing the enrichment of the technological culture, and on the research, the critical choice and the pre-dimensioning of technological solutions compatible with the studied system from a partial (re)design specification. Finally, the realisation of the chosen solution is based on the sketching of a drawing in the sense of industrial drawing, both on paper and with the help of CAD software with the complete dimensioning of one of the parts of the mechanism.

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This project is triggered by the request of a client (project owner) who comes to present his need to the students. It is an application that places the student in the position of a service provider to meet the client's need or request. This project aims to reproduce the methods used in business.

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The objective of this course is the modelling of continuous solid media by restricting itself, for a first approach, to elastostatics under the hypothesis of small perturbations. In this course we will find the application of the fundamental principle of statics to deformable solids. The following concepts are introduced for this purpose: tensors and tensor fields, algebra and tensor analysis, boundary problems, fundamental principle of statics, virtual power principle. The techniques of analytical solutions of classical problems and energy approaches will be covered. This course is fundamental in the training of students in mechanics, both those who go on to design and conception and those who go on to R&D.

See full page

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Research & Development (R&D) is both the product of teamwork and individual talent, all in the service of innovation (applied research) and knowledge (fundamental research). The themes are diverse and varied, but a certain methodology is necessary to tackle any R&D problem.

See full page

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