NPTEL Phase II :: Mechanical Engineering - Computer Aided Engineering Design

Untitled Document

COURSE OUTLINE

Overview of CAD, CAD Applications, Solid Modeling: Wireframe, B-Rep, CSG approaches, Transformations and Projections, Mathematical representation of curves and surfaces, Ferguson, Bezier and B-spline curves and properties, Ferguson, Bezier and Bspline surfaces and properties, Computations for Geometric Design, Introduction to Finite Element Analysis and Optimization.

COURSE DETAIL

Lecture	Topic
1-3	CAD Applications: Engineering Products, analogy: documentation, Design Representation, FEM, Optimization, Software/AutoCAD/Mechanical Desktop/I-DEAS.
4	Solid Modeling: Representation of Solids.
5-6	Solid Modeling: Topology.
7	Solid Modeling: topology, wireframe modeling.
8	Solid Modeling: Boundary Representation.
9	Solid Modeling: Boundary Representation, CSG, Operations: extrude, revolve, examples.
10-12	Design of Curves: Representation, piecewise continuous, differential geometry of curves.
13-15	Design of Curves: Ferguson segments, Bézier segments.
16-17	Design of Curves: Bézier segments.
18-25	Design of Curves: B-Splines.
26-27	Design of Curves: Rational Curves/NURBS.
28	Design of Surfaces: Piecewise continuous, differential geometry.
29-30	Design of Surface patches: Fersugon,16 point form, Bézier, B-spline.
31	Design of Coon's surface patches.
32	Design of Composite Surfaces: Ferguson and Bézier surfaces.
33-34	Computational geometry.
35	Mesh generation.
36-38	FEM: An introduction.
39	Optimization: Single variable methods.
40	Optimization: KKT conditions.
41	Optimization: Stochastic Methods.

PREREQUISITES

For post graduate and final year students.

REFERENCES

Saxena, A., and Sahay, B., 2006, "Computer Aided Engineering Design," Anamaya and Springer.
Faux I. D. and Pratt M. J., Computational Geometry for Design and Manufacture, Ellis Harwood Limited, West Sussex, England, 1979.
Mortenson M. E., Geometric Modeling, John Wiley and Sons, New York., 1985.