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Course Co-ordinated by IIT Kanpur
Coordinators
 
Dr. Anupam Saxena
IIT Kanpur

 

Download Syllabus in PDF format



Untitled Document
 
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.
 

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.

  • For post graduate and final year students.


  1. Saxena, A., and Sahay, B., 2006, "Computer Aided Engineering Design," Anamaya and Springer.

  2. Faux I. D. and Pratt M. J., Computational Geometry for Design and Manufacture, Ellis Harwood Limited, West Sussex, England, 1979.

  3. Mortenson M. E., Geometric Modeling, John Wiley and Sons, New York., 1985.




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