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L'idioma d'impartició serà Català/Castellà. Some materials, terminology and bibliography are in English, so you should have a minimum level.
B3_Students have the ability to gather and interpret relevant data (usually within their area of study), to make judgments that include reflection on relevant social, scientific or ethical issues.
Know and apply graphic engineering techniques
1. Introduction to Modeling and Simulation in Mechanical Engineering. Types of models. Physical models, analytical mathematical models, numerical mathematical models. Modeling "language".
2. Matrix methods for bar structures. The Stiffness Method (Direct Stiffness Method): Concepts of matrices of rigidity, forces and nodal displacements. Concepts of local and global coordinate systems. Concepts of matrix assembly. Contour conditions and methods of application. Programming of matrix methods by static simulation of the behavior of bar structures exposed to external loads.
3. The introduction to the MEF (Finite Element Method). Principle of Virtual Works (PTV). Programming of numerical models with 1D elements. Programming simple codes to simulate 1D problems through the MEF.
Two-dimensional elasticity (2D): hypothesis of plane stress and plane deformation. Linear shape functions. Modeling of distributed forces. Discretization of finite elements: the mesh. Triangular and quadrilateral finite elements of three and four nodes. Lagrangian elements of 6 and 8 nodes.
4. Advanced elements (beam, plate, membrane, ...). Principle of Virtual Works (PTV) in 3D. 3D linear shape functions. Simplifications of three-dimensional models due to symmetric problems.
5. Hybrid and advanced models. Introduction to hybrid and object-oriented models. Introduction to advanced models: evolutionary algorithmic strategies, "white-box", "gray-box" and "black-box" models. Use of neural networks.
SOFTWARE: This course will use SolidWorks and Matlab / Python.
The content of the subject is divided into 5 topics:
1. Introduction to Modeling and Simulation in Mechanical Engineering.
2. Matrix methods by numerical simulation.
3. MEF (Finite Element Method)
4. MEF 3D
5. Hybrid and Advanced Models
The subject is passed by doing internships, two course assignments and an exam note.
Internships will have a total weight of 20% in the final grade.
The written exam includes questions on theoretical concepts that can be assessed during the course and one or more practical problems that will be assessed on the day and time assigned for the final exam of the subject. The exam grade will have a weight of 30% on the final grade.
There will be two course assignments:
It is necessary to obtain a minimum grade of 35/100 in each of the evaluable concepts for the average mark to be made.
Class attendance is mandatory, unjustified absence in more than 3 sessions implies loss of the right to assessment.
The delivery of works more than 3 days late implies the loss of the right to evaluation.
Introduction to Finite Element Method, lecture notes of the course by C. Felippa
Oñate, Eugenio (1992). Calculation of Structures by the Finite Element Method. Ed. CIMNE.
Thompson EG Introduction to the finite element method: theory, programming and applications ..
Modeling and simulation fundamentals, J. Sokolowksi, C. Banks, Wiley, 2010
Martin J. Haigh: An Introduction to computer-aided design and manufacture, Oxford, 1985.
Shigley, JE Simulation of mechanical systems: an introduction. 1967. New York: McGraw-Hill