# BASIC MODULES

Stress distribution in a steam condenser due to internal pressure load
Structural analysis of a vertical vessel considering a combination of gravity, wind, and seismic loads

The goal of the Basic Modules is to introduce and consolidate the main concepts of the Finite Element Method and the use of commercial Finite Element software.

In the theoretical subjects, the fundamentals of the Finite Element Method as well as the numerical and programming methods employed in its development and the mathematical models used to represent the behavior of the materials are shown.

In the application and practice subjects, the attendee is trained in the use of the Finite Element commercial software PATRAN / MSC NASTRAN and MSC APEX. The Expert Degree includes the complete process of Linear Analyses, including geometry preprocessing, a complete training in FEA meshing procedures and the generation and solution to the complete Finite Element Model.

###### The Basic Modules include the study of the complete process required to perform linear analyses, including:
• Preliminary decisions: FE statement of the different engineering problems.
• Pre-processing: Geometry creation, full training in FEA meshing procedures, setting material properties, establishing loads and boundary conditions.
• Solution: Solving the equations set in the pre-processing phase.
• Post-processing: To obtain the displacements, stresses, plots, lists, etc.

The study of these modules will allow the student to understand and learn how to create and analyze linear finite elements models such as valves or other mechanical components, pressure tanks, frame structures, modal analyses, linear buckling analyses, etc.

# SPECIALIZED MODULES

Dynamic vibration analysis of a vacuum dryer

### MODULE A - DYNAMIC ANALYSIS

The Dynamic Analysis module includes the study of dynamic phenomena that are present in structures or equipments.

The initial objective of the fundamentals subject is analyzing the dynamic problems that arise when calculating a structure and provides some criteria to resolve them, focusing on specific structural types and providing the essential concepts, while identifying the fundamental parameters which characterize the dynamic behavior of structural systems.

The application and practice subjects introduce the attendee to the concepts of dynamic analysis of structures by using the Finite Element commercial software PATRAN / MSC NASTRAN. Dynamic analyses such as Modal analysis, Harmonic analysis, Spectrum analysis, Random analysis and Transient analysis are studied during the course, and are applied to real problems using PATRAN / MSC NASTRAN.

The study of this module will allow the attendee to understand and learn how to create and analyze dynamic cases of finite element models such as seismic studies of components, enforced vibrational studies in different industries (automotive, aerospace, energy, marine, etc.).

Contact analysis between a pipe and its corresponding support

### MODULE B - NON-LINEAR ANALYSIS

The purpose of the Non-Linear Analysis module is to study the non-linear problems associated with structures.

A complete understanding of this behavior is achieved with the study of the concept of non-linear structures, the kind of problems that requires a non-linear analysis, the causes of non-linear behavior, the differences with linear analyses and the characteristics of non-linear analysis using finite elements.

All of these concepts and the study of this behavior are applied to real problems in the application and practice subjects using the Finite Element commercial software PATRAN / MSC NASTRAN.

The study of this module will allow the attendee to understand and to learn how to create and analyze non-linear finite element models such as in-contact mechanisms, non-linear buckling analyses in structures, non-linear materials, and geometric non-linearities.

The study of this module will allow the attendee to understand and learn how to create and analyze non-linear finite element models such as structures, parts in contact, non-linear buckling analyses in structures, construction processes, retaining walls, etc.

Temperature distribution in industrial pumps

### MODULE C - HEAT TRANSFER

The aim of the Heat Transfer module is to study heat transfer phenomena.

The fundamentals subject provides the theoretical knowledge about heat transfer necessary for its specific application in the resolution of general and finite element heat transfer problems, as well as in stationary or non-stationary systems.

In the application and practice subjects, the attendee comes into contact with and manages, from the perspective of conducting analyses using finite elements and through the use of the PATRAN / MSC NASTRAN commercial software, the basic concepts of heat transfer such as conduction, convection and radiation, while at the same time solving stationary or transient heat transfer problems and other peculiarities of thermal processes, which can be treated like non-linearities.

The study of this module will allow the attendee to understand and learn how to create and analyze heat loads in finite element models such as thermal studies of heat exchangers, thermal studies in electrical components, thermal behavior of pressure tanks, etc.

# MASTER'S FINAL PROJECT

The Theoretical and Practical Application of the Finite Element Method and CAE Simulation Master's Program ultimately concludes with the Final Project. This project collects all the knowledge that has been acquired by the attendee through the study phase of the Expert and Specialist modules, and aligns all his/her aptitudes and capabilities under a common goal in a single project.

A tutor will be assigned to each project, depending on the areas involved, to guide the attendee during the project process.

In addition to the contributions from their own personal career, the training acquired by attendees will substantially influence the industrial capabilities of our society, nurturing it with highly qualified technicians for its development, prosperity and wellness.

For these reasons, on an annual basis the Master's Program rewards the attendees's dedication and the excellence of the best Final Project presented at the conclusion of the course. The National Distance Learning University (UNED) - through its Higher School of Industrial Engineers - rewards in this manner the attendee's effort and contribution to the study of the practical application of the Finite Element Method.