1 Differential calculus in IR: Derivative and derivation rules; Derivatives of inverse trigonometric functions; Cauchy’s rule; Higher order derivatives and Taylor polynomial; Parametric curves and derivatives

2 Integral calculus in IR: Antiderivative and techniques for calculation; Definite integral; Fundamental theorem of integral calculus; Applications (Areas, volumes, and arc length of curves)

3. Functions of several real variables: Definition, domain, and graphic representation; Limits and continuity; Partial derivatives and differentiability; Chain rule; Unconstrained extrema

4. Double integrals: Definition; Fubini theorem; Changing the order of integration; Double integrals in polar coordinates; Applications: computation of areas and volumes

1. Vectors in R^3: Dot product; Cross product; Scalar triple product.
2. Matrices and systems of linear equations: Matrix operations; Transpose and inverse of a matrix; Gauss elimination; Rank of a matrix; Systems of linear equations.
3. Determinants: Techniques for evaluating 2×2 and 3×3 determinants; Properties; Laplace’s theorem (cofactor expansion); Adjoint of a matrix and inverse matrix; Cramer’s rule.
4. Vector spaces: Properties; Subspaces; Linear combination; Span of a set of vectors; Linear independence; Basis and dimension.
5. Linear transformations: Matrix of a linear transformation; Kernel and range of a linear transformation; Transformations in the plane; Eigenvalues and eigenvectors.

1. International system of units; Vectors and scalars; Force and moment.
2. Systems of forces and equilibrium in two and three dimensions; Free-body diagrams.
3. Centre of mass and moment of inertia of areas and volumes.
4. Static friction.
5. Plane trusses.
6. Kinematics of particles (Cartesian and polar coordinates): Translation, rotation, and plane motion.
7. Kinetics of particles in translation and in rotation.

1. Introduction to computation and programming.

2. Basic stages to develop programs – Algorithms.

3. Introduction the language Python.

4. Python objects. Data, Types, Operations, Expressions, I/O instructions, …

5. Control statements (if; for; while).

6. Modules (definition and importing).

7. Data structures.

8. Input/Output communication.

9. Graphical environments.

1. English as a lingua franca. Attitudes towards English. Expressions to convey linguistic and learning necessities. Brief notions of the characteristics that have led English to become a global language.

2. Informal Conversation: Taking part in conversations about people, places and other topics; description of personal and professional profiles; identification of cultural differences.

3. Contacts: Starting and keeping conversations about topics related to the professional context via telephone, email. Describing people and exchanging information.

4. Meetings: Expressions to set up and organize meetings, make decisions, solve problems, present suggestions, and lead meetings. Official register of information. Checking and clarifying facts and figures.

5. Negotiating relationships: Expression of formality and informality. Expression of likes and dislikes about travelling on business. Discussing attitudes about meetings and cultural behaviours in different countries.

1. Atomic structure and bonding.
2. Materials Science: Metals and metallic alloys; Polymers; Ceramics; Composites
3. Electrochemistry and corrosion
4. Mechanical properties of materials and testing.

1. Number Representation and errors
2. Nonlinear equations: Root location
3. Function Approximation: Taylor polynomials; Polynomial interpolation; Least squares method
4. Numerical integration
5. Ordinary Differential Equations (ODE): Analytical methods; Numerical methods
6. Linear programming.

1. Probability distributions: Random variable definition; Discrete random variables; Continuous random variables; Discrete probability distributions; Continuous probability distributions
2. Summary data analysis: Preparation of a data set; Frequencies distribution tables; Numerical summaries; Graphical representation
3. Statistical Inference: Point estimation and sampling distributions; Confidence intervals; Hypothesis testing
4. Bivariate analysis: Contingency tables; Linear Regression

1. General aspects of technical drawing

1.1 normalized writing, types of lines and sheet design.

1.2 Subtitles and scales

2. Orthogonal projections

2.1 Types of projections, views and select the required front view.

2.2 Views displaced, local, discontinued, detail and auxiliary.

3. Sectional

3.1 Standards

3.2 Types of sections

4. Perspectives

4.1 Standards and types of perspective

4.2 Construction of objects in perspective

4.3 Cuts and dimensioning in perspective

5. Dimensioning

5.1 Elements and general aspects

5.2 Types and rules of dimensioning.

6. Dimensional tolerances and surface states

6.1 Standards and definitions

6.2 Tolerance fits.

6.3 Dimensional control.

6.4 Definitions and symbols in the representation of surface states.

6.5 Roughness

7. Introduction to assembly drawing 8. Introduction to computer-aided design

1.Properties modification treatments

2.Ferrous metallic materials

3.Nonferrous metallic materials

4.Ceramic materials (complement)

5.Ceramic materials processing

6.Powder metallurgy

7.Mechanical testing: creep test; impact test

8.X-ray difraction

9. Coatings

1.Introduction to the manufacturing processes

1.1 Processes of properties change

1.2 Processes of shape change

2. Technological processes of metal cutting

2.1 Shearing

2.2 Manufacturing

3.Theory of plasticity applied to manufacturing processes

3.1 Introduction to theory of plasticity

3.2 Criteria of plasticity

4. Technological processes of bulk and sheet metal forming

4.1 Forging

4.2 Extrusion

4.3 Rolling

4.4 Bending

4.5 Deep Drawing

5. Welding Processes

5.1 Introduction to welding processes

5.2 Arc welding processes (SMAW, GMAW, TIG, GTAW, PAW) 6. Technological processes of casting.

1. Mechanical vibrations of a particle and of the rigid body

1.1. Free vibrations, linear and angular (undumped and dumped)

1.2. Forced vibrations

1.3. Computational modelling and simulation of vibrating systems

2. Kinematics of rigid bodies

2.1. Translation

2.2. Rotation about fixed axis

2.3. General Plane Motion

3. Dynamics of rigid bodies

3.1. Translation

3.2. Rotation about fixed axis

3.3. General Plane Motion

3.4. Particular movements (rolling without slipping, bars with pins).

4. Mechanisms

4.1. Degrees of freedom

4.2. Classification of mechanisms

4.3. Study of simple mechanisms

4.3.1. Kinematic and kinetic diagrams of the different elements of the mechanisms

4.3.2. Differential equations and consistent initial conditions for the problem of the mechanisms motion

4.3.3. Computational modelling and simulation of mechanisms motion

1 – Concept of stress, Application to the analysis of simple structures, Stress on an oblique plane under axial loading, Stress under general loading conditions; components of stress

2 – Axial loading, Deformations, Statically indeterminate problems, Problems involving temperature changes, Multiaxial loading; generalized Hooke’s law.

3 – Torsion, Deformations in a circular shaft, Stresses and angle of twist in the elastic range, Torsion of noncircular members.

4 – Bending, Pure bending and transverse bending, Equation of the elastic curve, Unsymmetric bending, General case of eccentric axial loading.

5 – Mohr´s circle for plane stress.

6 – Yield criteria for ductile and brittle materials.

7 – Stresses under combined loadings (bending and torsion).

1 – Technological processes of metal cutting by chipping, Mechanism of chip formation, Parameters of the Cutting Process, Modeling of the Cutting Process, Tools (Types, Damage and Wear), Economic aspects of metal cutting by chipping

2 – Technologies of computer numerical control, Introduction to Computerized Numerical Control, CNC Programming – ISO language

3 – High-speed machining, Fundamentals of High-Speed Machining, Machinery and Tools for High-Speed Machining, Control and Programming for CNC High-Speed Machining

4 – Electric discharge machining technology, Principles of operation of the Electric discharge machining process, Operating Parameters, Electrodes for electric discharge machining, Dielectric fluids and washing methods

1. Fundamental Concepts.

2. Properties of pure substances.

3. First Law of Thermodynamics.

4. Second Law of Thermodynamics.

5. Forms of heat transfer.

6. Entropy.

1. Introduction to fluid mechanics, The Concept of a Fluid, The Fluid as a Continuum, Dimensions and Units, Nonnewtonian Fluids Characterization, Viscosity and Other Secondary Properties

2. Pressure Distribution in a Fluid, Pressure and Pressure Gradient, Gage Pressure and Vacuum Pressure: Relative Terms, Hydrostatic Pressure Distributions, Application to Manometry, Hydrostatic Forces on Plane Surfaces, Hydrostatic Forces on Curved Surfaces, Hydrostatic Forces in Layered Fluids

3. Integral Relations for a Control Volume, Frictionless Flow: The Bernoulli Equation

4. Viscous Flow in Ducts, Reynolds-Number Regimes, Flow in a Circular Pipe, The Moody Chart, Flow in Noncircular Ducts, Minor Losses in Pipe Systems, Hydraulic power of pumps and turbines

1. Introduction to plastics, Classification, Structure, General properties, Mechanical properties, Processing temperature, Plastics selection

2. Thermoplastics transformation processes: Extrusion, Tubular film extrusion, Blow molding, Thermoforming, Injection: Machine, Molding cycle, Variables, Capacity plasticizing and injection, Assembly and adjustment of the mold, Conventional molds and hot runners, Materials and accessories, Mould design, Case studies

3. Thermosetting transformation processes: Compression, Transfer, Vacuum bag, Casting in vacuo, Plastics molding fiber reinforced: molding contact, simultaneous projection molding and filament winding, RIM, Injection

4. Plastic Characterization with or without reinforcement

5. Alternative processes of transformation

6. Plastic Recycling

Theorical:

1 – Introduction to Computer Aided Design

2 – Geometric Modelling for CAD/CAM/CAE

3 – Neutral Formats – Exchange of information between systems CAD/CAM/CAE

4 – Product Data Management/ Product Life Management (PDM / PLM)

5 – Introduction to Reverse Engineering and Rapid Prototyping

6 – CAD Modelling and Simultaneous/Concurrent Engineering

Practice:

1 – Basic principles of solid-based CAD software’s

2 – Modelling in CAD of parts/components. Dimensioning and Tolerancing. Geometric Dimensioning and Tolerancing (GDT)

3 – Assembly of mechanical components.

4 – Obtaining 2D drawings for production. Full dimensioning.

1. Introduction;

2. Static project;

3. Fatigue project;

4. Welding and bonding;

5. Screws and other fixation devices;

6. Springs;

7. Applications.

1 – Introduction to polymer matrix composite materials, Global Perspective of composites, Evolution of composite materials, Main applications of composite materials

2 – Reinforcements, Types of reinforcements, Reinforcements production processes, Forms may be submitted as reinforcements, Characteristics of reinforcements

3 – Polymer matrices, Thermoplastics, Thermosets

4 – Processing of composite materials

5 – Layer and laminate analysis. Analysis of laminates. Determination of the main mechanical properties of the laminates.

1 – Introduction to the finite element method, introduction, linear equations system Kd=f, Spring element, assembly

2 – Bar element, stiffness matrix, loads vector

3 – Truss element, stiffness matrix, loads vector

4 – Beam element, stiffness matrix, loads vector

5 – Beam-bar element, stiffness matrix, loads vector

6 – Frame structure element, stiffness matrix, loads vector

7 – Natural frequencies and vibration modes, mass matrix, eigenvalue and eigenvector problem

1 – Introduction to Computer Aided Manufacturing

2 – The process for Numerical Control Machining and CNC Machines

3 – High Speed Machining (HSM)

4 – Multi-Axis Machining

5 – Systems and Flexible Manufacturing Cells (FMS)

6 – Introduction to Industrial Robotics

7 – AGV’s (“Automatic Guided Vehicles”)8 – Automatic Warehouses

• 9123237 – Plastics and Moulds Drawing a)

1. General information about the Plastics Processing Industry. The injection molding machine.
2. Representation and Design of Plastic Parts. Plastic Parts Design. Representation and design of plastic parts.
3. Plastics Injection Molding Process. Cycle of injection. Materials.
4. Study and characterization of Injection Molds. Molding parts (split cavity / core). Injection. Ejection. Mechanisms (slides, lifters and others).
5. Injection Systems. Characterisation. Sprue, Runners, Gates. Hot Runner Systems.
6. Standardized components for injection molds. Structure. Accessories.
7. Rules for the drafting of a mold injection. Numbering and nomenclature. Graphical representation.
8. Plan and design a simple mold.

• 9123238 – Mechanical Drawing a)

1 – Develop manuals sketches

2 – NP and ISO Standards. Manufacturing processes (basic notions). Drawing and design of manufacturing machines. Elements of standard mechanical construction.

3 – Application of tolerances and surface condition

4 – Introduction to mechanical design. Design sketches for using 3D CAD software

a) Students must choose between: Drawing of Moulds and Plastics; Mechanical Drawing

1. Introduction.

2. Electric circuits elements.

3. Direct current circuits

4. Steady state, alternating current circuits

5. Brief introduction to electromechanics

6. Industrial electronics

7. Human and equipment safety

1. Introduction;

2. Flexible transmissions with belts;

3. Transmissions flexible with chains;

4. Gear transmissions;

5. Rolling bearings;

6. Fracture mechanics.

Virtual prototyping vs. Physical prototyping.

Rapid prototyping processes.

Rapid manufacturing of production tools.

Non conventional manufacturing processes.

Concurrent engineering.

Intelligent production systems.

Design/Reverse engineering.

Microtechnologies on manufacturing and mass production.

• 9123239 – Moulds Design b)

1. Overview on injection mould design.
2. Study of injection mould types.
3. Material selection.
4. Injection systems.
5. Ejection systems.
6. Mechanisms for undercuts demoulding.
7. Cooling systems.
8. Surface finishing.
9. Mould testing.
10. Mould design within a company.
11. Mould design dossier.

• 9123240 – Mechanical Design b)

1. Definition and concept of mechanical design.
2. Evaluation methodology and analysis solutions.
3. ergonomics experience applicable to mechanical design.
4. Machine Directive – safety notions and legal requirements of mechanical design
5. Static and Dynamic Design of mechanical systems.
6. Selection of standard elements.
7. Understanding of project management and planning.
8. Dossier project, Description, Calculation notes, Schemes and designs.

b) Students must choose between: Moulds Design; Mechanical Design

1 – Planning of the product and the process;

2 – Process of product design and development;

3 – Customer Needs and Product technical specifications;

4 – Intellectual Property;

5 – Creativity and innovation. Tools to support creativity;

6 – Methods to support product development: QFD, SCAMPER, TRIZ, FMEA;

7 – Design, Anthropometry and Ergonomics;

8 – Design for X;

9 – Simulation, optimization and prototyping;

10 – Reverse engineering and product reengineering;

11 – Selection of production processes;

12 – Planning of production, assembly and distribution. Product lifecycle.

• 9123241– Computational Simulation – Moulds Design c)

  1 – Introduction to rheology

  2 – Viscoelastic fluids, Extensional viscosity, Shear viscosity, Relaxation spectrum

  3 – Finite volumes, Conservation of mass, Conservation of linear momentum, conservation of energy, finite volumes in rheology analysis

  4 – Integral formulation and variational methods, Weak formulation of boundary value problems, Variational methods, Rayleigh-Ritz, Galerkin

  5 – Plane elasticity, Introduction, Triangular element with 3 nodes, Quadrangular element with 4 nodes

  6 – Three-dimensional problems

  7 – Contact problems

  8 – Computer simulation of the injection process

• 9123242 – Computational Simulation – Mechanical Design c)

1 – Integral formulation and variational methods, Weak formulation of boundary value problems, Variational methods, Rayleigh-Ritz, Galerkin

2 – Plane elasticity, Introduction, Triangular element with 3 nodes, Quadrangular element with 4 nodes

3 – Three-dimensional problems

4 – Contact problems

c) Students must choose between: Computer Simulation – Moulds and Plastics; Computer Simulation – Mechanical Design

Pneumatics; Basic principles, Production and processing of compressed air, Pneumatic symbols, Actuators and valves, Circuit analysis.

Oil-hydraulics; Basic principles, Oil-hydraulics symbols, Pumps, motors, linear actuators and valves, Hydraulic fluids, types and characteristics, Circuit analysis.

Process automation. Basic principles, functional levels of an automated system, Process functional specification, Architecture of Programmable Logic Controllers (PLC), PLC programming methods, Characteristics and operation of PLC.

1. Introduction to Quality Management: Quality Management principles and new methodologies Six Sigma and Lean;

2. Quality costs;

3. Basic Quality Tools;

4. Accreditation and Certification of systems and products: NP EN ISO 9001:2015.

1. General Concepts of Production Management and Process Design, Types of Processes, Lean Manufacturing

2. Capacity Management, Flow and Materials, Constraints Analysis, Flow analysis tools, Stock management

3. Sequencing Operations, Deterministic problems, Decentralized management

4. Project Management and Evaluation, PERT and CPM methods

5. General Concepts Maintenance Management

6. Organization of the Maintenance Service

7. Reliability, Maintainability and Availability

8. Maintenance Costs

9. Condition Control Techniques

• 9123243 – Industrial Project d)

1 Integration of knowledge in various areas of the Mechanical Engineering course to develop an engineering project that meets the real needs of industry.

2 Industrial project addresses issues related to: design of new products, optimization of existing solutions, design and implementation of new solutions, development of research work

3 The industrial project may include activities performed in an industrial environment.

• 9123244 – Internship d)

It is intended that students integrate knowledge from different areas of mechanical engineering course to perform functions in industrial context.

d) Students must choose between: Industrial Project; Internship

1 – Materials and Manufacturing Processes Advanced.

2 – Modelling, Simulation and Design.

3 – Industrial Management and Information Technologies.

4 – Energy, Environment and Automotive.

• 9123245 – Fluid Networks e)

1. Dimensional Analysis
2. Turbomachinery
3. Hydraulic networks
4. Steam Networks
5. Gas Networks
6. Heating Ventilation and Air Conditioning

• 9123246 – Moulds and Ceramic Materials Processing e)

Ceramics, Introduction, Ceramic Materials Processing, Mechanical properties of ceramic materials, Ceramic traditional and technical ceramics, Coatings and ceramic floors, Glasses, Cement and concrete, Technical ceramics, Moulds for ceramics, Technologies manufacture unconventional, Recycling of ceramic materials

• 9123247 – Management control e)

1. The nature of management control.
2. Accounting for management.
3. Behavioral aspects of management control.
4. The management control process.
5. Design and implementation of a management control system.

e) Students must choose between: Fluid Networks; Moulds and Processing of Ceramic Materials; Management Control

1. Introduction: entrepreneurship and entrepreneurs

2. Opportunities, ideas and innovation. The idea – product/service

3. Concepts of business strategy

4. How to build and manage a team

5. The marketing

6. The new company

7. The funding of new company

8. The financial aspects of the new company

9. The investment

10.The Business plan