- 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. Wire-Frame. 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 and the finite element method applied in the design of mechanical parts.
- The multibody methodology.
b) F. Caputo, M. Martorelli, Disegno e progettazione per la gestione industriale, Ed. Scientifiche Italiane.
c) D. Vignocchi, Progettare con Catia V5, Athena - Modena.
d) C. Gianini, La progettazione strutturale con il calcolatore, Athena - Modena