Bachelor's degree

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The objective of this course is to provide an introduction to numerical tools for solving partial differential equations arising in various fields of engineering. We will cover 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 learn the basics of this language and versioning tools. Students' work will be produced using the Latex word processor.  

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The emphasis is on the performance and limitations of engineering calculation methods so that students are able to use them correctly "in real-life situations." This real-life application is certainly the most challenging aspect of this introduction to scientific calculation, as it requires not only a certain physical understanding, but also a step back from mathematical modeling and a minimum level of computer skills.

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In the first part: deepen the basic concepts of differential calculus covered in L2.

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

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Material resistance (RdM) is a specific discipline of continuum mechanics that enables the calculation of stresses and deformations in slender structures made of different materials (machinery, mechanical engineering, building, and civil engineering). It involves 1D static modeling of a deformable solid assimilated to a beam connected to a frame and subjected to external mechanical stresses.

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

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This first module in fluid mechanics aims to provide basic information on the behavior of industrial fluids (air, water, hydraulic fluid) with a view to designing simple systems involving fluids in static or dynamic conditions (flow rates, pressure, speed, pressure drops, etc.). The focus is on the study and design of hydraulic installations.

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Rheology is the study of the deformation and flow of matter under the effect of applied mechanical stress. In the field of materials, this science is particularly relevant to the following areas:

            - Viscoelasticity

            - Plasticity

            - Viscoplasticity

            - Non-Newtonian fluids

In practice, rheology is used to characterize the macroscopic mechanical properties of materials whose behavior defies classical theories of elastic solids and Newtonian fluids (with constant viscosity). Such materials can therefore be considered as having behavior that lies between that of solids and fluids, between elastic and viscous.

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This course aims to introduce the basics of physical hydrodynamics. Kinematic aspects are covered first: Euler and Lagrange formalism, analysis of the motion of a fluid volume element, introduction of velocity current and potential 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 ideal fluids, then Navier-Stokes' equation describing the flow of viscous Newtonian fluids. This section will lead us to define the stress tensor and the Reynolds number, which can be used to determine whether a flow is laminar or turbulent. The course ends with an introduction to the mechanics of deformable solids: displacement field, dilation tensor, and deformation tensor.

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The course links scientific computing and variational methods for mechanics and is designed to model simple physical equations and implement numerical methods to solve these equations.

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Acquire basic knowledge of numerical methods for differential equations

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Language tutorial courses aimed at training the five language skills;

Listening comprehension & speaking

Reading comprehension & writing

Oral interaction

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• read a technical plan of medium difficulty
• recognize standard mechanical components on a drawing
• identify how a moderately difficult mechanical system works based on an overall plan
• draw a part in multiple views following the rules of projection
• Identify and draw the intersections of cylinder-plane, cylinder-cylinder, plane-cone, and cylinder-cone.
• draw cross-sectional views and sections
• extract a part from a medium-difficulty assembly drawing
• use of the basic functions of Solidworks software (parts mode, assembly, and drafting)

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Research and Development (R&D) is both the combination of a team's work and individual talents, all in the service of innovation (applied research) and knowledge (fundamental research). The topics are diverse and varied, but a certain methodology is necessary to address any R&D issue.

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The objective of this course is to model continuous solid media, initially focusing on elastostatics under the assumption of small perturbations. In this course, we will explore the application of the fundamental principle of statics to deformable solids. The following concepts are introduced for this purpose: tensors and tensor fields, tensor algebra and analysis, boundary value problems, the fundamental principle of statics, and the principle of virtual work. Techniques for the analytical solution of classical problems and energy approaches will be discussed. This course is fundamental to the training of students in mechanics, whether they are oriented towards design and engineering or towards R&D.

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Project assigned to a group of two to three students, supervised by a tutor. Weekly meetings to monitor progress and provide assistance with writing a report and preparing an oral presentation. The work is spread over one semester and concludes with the submission of a report and an oral defense.

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This teaching unit is an introductory advanced module in mechanical design. It provides tools for selecting technologies that meet the classic functions of mechanisms (embedding and rotational guidance using bearings), based on partially provided functional specifications, industrial documentation, and regulatory standards. Practical work analyzing existing mechanisms and designing basic technological solutions will complement this teaching.

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Language tutorial courses aimed at training the five language skills;

Listening comprehension & speaking

Reading comprehension & writing

Oral interaction

Continuous speaking - presentations

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Material resistance (RdM) is a specific discipline of continuum mechanics that enables the calculation of stresses and deformations in slender structures made of different materials (machinery, mechanical engineering, building, and civil engineering). It involves 1D static modeling of a deformable solid assimilated to a beam connected to a frame and subjected to external mechanical stresses.

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

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This teaching unit introduces students to project management, taking into account the major challenges facing business performance. Students find themselves in a position where they are steering the key phases of the product design process.

This project-based teaching approach allows for a detailed analysis of each phase of the design process in the form of case studies. Students therefore learn methods for generating ideas (creativity, functional analysis) through to the creation of the product architecture.

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This first module in fluid mechanics aims to provide basic information on the behavior of industrial fluids (air, water, hydraulic fluid) with a view to designing simple systems involving fluids in static or dynamic conditions (flow rates, pressure, speed, pressure drops, etc.). The focus is on the study and design of hydraulic installations.

See the full page

Rheology is the study of the deformation and flow of matter under the effect of applied mechanical stress. In the field of materials, this science is particularly relevant to the following areas:

            - Viscoelasticity

            - Plasticity

            - Viscoplasticity

            - Non-Newtonian fluids

In practice, rheology is used to characterize the macroscopic mechanical properties of materials whose behavior defies classical theories of elastic solids and Newtonian fluids (with constant viscosity). Such materials can therefore be considered as having behavior that lies between that of solids and fluids, between elastic and viscous.

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This course provides the basic tools needed for the functional dimensioning of mechanical systems. After presenting one-dimensional dimensioning and its limitations, 3D geometric tolerancing (GPS), in accordance with 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 connections then makes it possible to establish the functional conditions required to ensure the assembly and proper functioning of the system. Dimensional and geometric tolerances are then determined by setting up and resolving dimension chains. Finally, once the parts have been manufactured, it is necessary to perform metrological checks and verify their conformity with the functional dimensions.

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This course unit is a core module in mechanical design technology. It enables students to apply the concepts of standard component dimensioning mainly seen in the L2 (introduction to mechanical design) and L3 (structure and dimensioning, mechanical design 1 and 2) technology course units in the case of existing mechanical systems. It also indirectly draws on all other courses in rigid and deformable solid mechanics, mainly seen in L2 and L3.

The emphasis is on discovering and comparing real technological solutions, thereby enriching technological culture, and on researching, critically selecting, and pre-dimensioning technological solutions compatible with the system under study based on partial (re)design specifications. Finally, the implementation of the chosen solution is based on the drafting of an accurate industrial design, both on paper and using CAD software, with complete dimensions for one of the mechanism's parts.

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This course concludes the technology component of the Bachelor's degree in Mechanical Engineering, CDPI track, which consists of four modules. It aims to provide students with the tools to understand and design complex mechanical systems (automatic transmissions, power transmission mechanisms, etc.).

Half of this module is based on lectures/tutorials to study pulley-belt systems, clutches/brakes, and preloaded systems with applications to preloaded bearing assemblies. At the same time, the course draws on practical work analyzing different mechanical systems (CVT gearboxes, automatic gearboxes, brakes, clutches, preloaded bearing assemblies, etc.), as well as practical design work to apply the skills acquired to specific case studies.

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Language tutorial courses aimed at training the five language skills;

Listening comprehension & speaking

Reading comprehension & writing

Oral interaction

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• read a technical plan of medium difficulty
• recognize standard mechanical components on a drawing
• identify how a moderately difficult mechanical system works based on an overall plan
• draw a part in multiple views following the rules of projection
• Identify and draw the intersections of cylinder-plane, cylinder-cylinder, plane-cone, and cylinder-cone.
• draw cross-sectional views and sections
• extract a part from a medium-difficulty assembly drawing
• use of the basic functions of Solidworks software (parts mode, assembly, and drafting)

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Research and Development (R&D) is both the combination of a team's work and individual talents, all in the service of innovation (applied research) and knowledge (fundamental research). The topics are diverse and varied, but a certain methodology is necessary to address any R&D issue.

See the full page

The objective of this course is to model continuous solid media, initially focusing on elastostatics under the assumption of small perturbations. In this course, we will explore the application of the fundamental principle of statics to deformable solids. The following concepts are introduced for this purpose: tensors and tensor fields, tensor algebra and analysis, boundary value problems, the fundamental principle of statics, and the principle of virtual work. Techniques for the analytical solution of classical problems and energy approaches will be discussed. This course is fundamental to the training of students in mechanics, whether they are oriented towards design and engineering or towards R&D.

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This project is initiated by a request from a client (project leader) who presents their needs to the students. It involves an application that places the student in the position of a service provider responding to the client's needs or requests. The aim of this project is to replicate the methods used in business.

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