Ogni modulo equivale a 3 crediti ECTS. È possibile scegliere un totale di 10 moduli/30 ECTS nelle seguenti categorie:
- 12-15 crediti ECTS in moduli tecnico-scientifici (TSM)
I moduli TSM trasmettono competenze tecniche specifiche del profilo e si integrano ai moduli di approfondimento decentralizzati. - 9-12 crediti ECTS in basi teoriche ampliate (FTP)
I moduli FTP trattano principalmente basi teoriche come la matematica, la fisica, la teoria dell’informazione, la chimica ecc. I moduli ampliano la competenza scientifica dello studente e contribuiscono a creare un importante sinergia tra i concetti astratti e l’applicazione fondamentale per l’innovazione - 6-9 crediti ECTS in moduli di contesto (CM)
I moduli CM trasmettono competenze supplementari in settori quali gestione delle tecnologie, economia aziendale, comunicazione, gestione dei progetti, diritto dei brevetti, diritto contrattuale ecc.
La descrizione del modulo (scarica il pdf) riporta le informazioni linguistiche per ogni modulo, suddivise nelle seguenti categorie:
- Insegnamento
- Documentazione
- Esame
Computational Structural Mechanics (CSM) (TSM_CSM)
The module provides students with comprehensive knowledge in the numerical simulation of demanding static and dynamic problems in structural mechanics. Special emphasis is placed on validation methods for the models and verification possibilities for the results.
Requisiti
- Very good knowledge of mechanics and strength analysis
- Knowledge of numerical methods
- Basic knowledge of simulation methods such as FEM
Obiettivi di apprendimento
After completing this module, students will be able
- to apply in-depth knowledge of the theory of the finite element method in practice;
- to approach simulation tasks systematically;
- to exploit the possibilities of numerical simulations for structural-mechanical problems in product development, but also to know their limits;
- to verify simulation results and to validate simulation models;
- to assess the importance of nonlinear effects and to consider them in nonlinear simulations;
- to set up and carry out dynamic simulations.
Contenuti del modulo
- Introduction: sophisticated numerical simulation in product development, meaning, possibilities and limits
- Theory of the finite element method: method of the weighted residual, principle of virtual work, discretization, approach functions and element classes, numerical integration, assembling of the equation system
- Idealization and modeling: classification of simulation tasks (static, dynamic, linear, nonlinear, stationary, transient, 2D, 3D, symmetry, etc.), selection of correct elements, material properties, boundary conditions, loads, equation solution
- Verification and validation: correct solving of correct equations, interpretation of simulation results, possible errors and error sources
- Nonlinearities: geometric nonlinearities, stability problems, nonlinearity of materials (material models), contact problems and their modelling
- Dynamics: eigenfrequency analysis, direct time integration (explicit and implicit), modal superposition, response analyses
| Week | Topic |
| 1 | Introduction to numerical simulation and methods |
| 2 | Theory of FEM |
| 3 | Theory of FEM |
| 4 | Idealizations in structural mechanics |
| 5 | Modelling and solution methods |
| 6 | Interpretation, verification and validation |
| 7 | Introduction to nonlinear FE simulations |
| 8 | Geometric nonlinearities and contacts |
| 9 | Stability problems (buckling, etc.) |
| 10 | Nonlinear material models |
| 11 | Nonlinear material models |
| 12 | Natural frequency analysis, modal analysis |
| 13 | Direct explicit and implicit time integration, damping |
| 14 | Modal superposition, response analysis in the frequency domain |
The module is divided into 3 courses:
| Course | Title | Week |
| 1 | Theory of the Finite Element Method | 1-6 |
| 2 | Nonlinear structural mechanics | 7-11 |
| 3 | Structural dynamics | 12-14 |
Metodologie di insegnamento e apprendimento
Lectures, exercises and case studies
Bibliografia
- Huebner K.H., The Finite Element Method for Engineers, John Wiley & Sons Inc, 2001
- Zahavi E., Barlam D., Nonlinear Problems in Machine Design, CRC-Press, 2001
- Bathe K.J., Finite Element Procedures, 2nd ed., 2014
- Humar J.L., Dynamics of Structures, Prentice Hall, 1990
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