PROGETTAZIONE INTEGRATA CAD/CAE

The student will acquire theoretical and practical skills in the field of 3D solid modelling. Know current computer-aided design techniques and methodologies in parametric solid modelling. Know how to use specific software for the design of mechanical components using integrated CAD-FEM, CAD-Multibody e CAD-CFD.

- Introduction to geometric modeling of machines. CAD in the design cycle. Comparison between conventional and CAD design approach. Generations of CAD systems and integrated CAD-CAE systems.

- Parametric forms and cubic polynomial curves. Geometric shapes in space. Lagrange's method and Hèrmite's method. Interpolating and approximating curves. The conditions of continuity.

- The Bèzier curves, the Bèzier cubic. The Splines, the cubic spline. The B-Splines, notes on NURBS. Graphical and analytical construction of a cubic polynomial curve.

- The mathematical description of surfaces applied to geometric modeling. The striped surfaces. The bilinear surfaces. The bicubic surfaces. The surfaces of Bèzier. The B-spline surfaces. Use of NURBS for the construction of a conic. The twist vector.

- Solid modeling techniques. Three-dimensional geometric modeling. Wireframe. Geometric data and topological data. Properties of r-sets. Operations on primitives. Solid construction geometry. Internal representation. Solids of revolution and extrusion. Bondary evaluation. B-Rep modeling. Topological structure. Outline of advanced modeling functions: blending, lofting, skinning, local operations, shelling, hollowing.

- Associative geometry. Acquisition of constraints. Parametric or procedural approach, variational approach. Mathematical expression of the constraints. Interactive systems.

- The solid modelers. Variable-driven. Features and feature-based modeling. Advanced modeling functions. Hybrid modelers.

- Virtual prototyping. The simulation of the product. Process simulation. Electronic data management. CAD-CAE modeling techniques

- Rapid prototyping.

- The integrated CAD-CAE design.

- Integrated CAD-FEM design techniques.

- Integrated CAD-Multibody design techniques.

- Integrated CAD-CFD design techniques.

1. Lecture notes.
2. G. Farin, Curves and Surfaces for CAGD, a Practical Guide - Fifth Edition, Morgan Kaufmann Series in Computer Graphics.
3. F. Caputo, M. Martorelli, Disegno e progettazione per la gestione industriale, Ed. Scientifiche Italiane.
4. Golovanov, N. Geometric Modeling, CreateSpace Independent Publishing Platform, 2014.
5. Salomon, D. (2007). Curves and surfaces for computer graphics. Springer Science & Business Media.
6. K. Lee, Principles of CAD/CAM/CAE Systems, Addison-Wesley.
7. Belingardi, G. (1995). Il metodo degli elementi finiti nella progettazione meccanica. Libreria editrice universitaria Levrotto & Bella.
8. O. C. Zienkiewicz, R. L. Taylor, J. Z. Zhu : The Finite Element Method: Its Basis and Fundamentals, Butterworth-Heinemann (2005).
9. C. Gianini, Ingegneria strutturale computazionale. Calcolo automatico di strutture meccaniche, Idelson - Gnocchi.
10. Pennestri E. (2002). dinamica tecnica e computazionale sistemi multibody.
11. Shabana, A. A. (2020). Dynamics of multibody systems. Cambridge university press.
12. Gibson, I., Rosen, D. W., Stucker, B., Khorasani, M., Rosen, D., Stucker, B., & Khorasani, M. (2021). Additive manufacturing technologies (Vol. 17, pp. 160-186). Cham, Switzerland: Springer.

The oral test is intended to verify that the theoretical and practical knowledge and skills in the field of 3D solid modelling and integrated CAD-CAE design have been acquired.

The practical test is intended to verify knowledge of integrated CAD-FEM, Multibody and CFD techniques using the PTC Creo modeller and the parametric modeller Catia.

 1 Parametric forms and polynomial curves;

 2 Lagrange's method and Hèrmite's method;

 3 Interpolating curves and approximating curves. Continuity conditions;

 4 Bèzier curves;

 5 The NURBS curves;

 6 The mathematical description of surfaces;

 7 The torsion vector;

 8 Solid modelling techniques;

 9 Operations on primitives;

 10 Constructive solid geometry;

 11 Modelling functions (blending, lofting, skinning, local operations, shelling, hollowing);

 12 Associative geometry. Parametric or procedural approach, variational approach;

 13 Solid modellers. Variable-driven. Features and feature-based modelling. Advanced modelling functions;

 14 CAD-CAE modelling techniques;

 15 Integrated CAD-CAE design;

 16 Finite element modelling techniques;

 17 Multibody modelling techniques;

 18 Rapid prototyping.

19 Reverse Engineering techniques.