Unit 1 Introduction

5 lecture hours

• A typical product cycle
• CAD tools for the design process of product cycle
• CAD / CAM system evaluation criteria
• Input / Output devices
• Graphics Displays: Refresh display
• Raster display
• pixel value and lookup table
• estimation of graphical memory, LCD, LED fundamentals
• Concept of Coordinate Systems: Working Coordinate System
• Model Coordinate System
• Screen Coordinate System
• Line and Curve generation algorithm: DDA, Bresenham’s algorithms
• Graphics exchange standards and Database management systems

Unit 2 Curves and Surfaces

7 lecture hours

• Parametric representation of lines: Locating a point on a line
• parallel lines
• perpendicular lines
• distance of a point
• Intersection of lines
• Parametric representation of circle
• parabola and hyperbola
• Synthetic Curves: Concept of continuity
• Cubic Spline: equation
• properties and blending
• Bezier Curve: equations
• Properties and advantages of B-Splines and NURBS
• Various types of surfaces along with their typical applications

Unit 3 Mathematical representation of solids

• Geometry and Topology
• Comparison of wireframe
• surface and solid models
• Properties of solid model
• properties of representation schemes
• Concept of Half-spaces
• Boolean operations
• Schemes: B-rep, CSG, Sweep representation, ASM, Primitive instancing
• Cell Decomposition and Octree encoding

Unit 4 Subject Code

• 3161903 4 Geometric Transformations Homogeneous representation
• Shearing in 2D and 3D
• Orthographic and perspective projections
• Window to View-port transformation

Unit 5 Finite Element Analysis

18 lecture hours

• Review of stress-strain relation and generalized Hooke's Law, Plane stress and Plane strain conditions
• Concept of Total Potential Energy
• Basic procedure for solving a problem using Finite Element Analysis. 1-D Analysis: Concept of Shape function and natural coordinates
• strain - displacement matrix
• derivation of stiffness matrix for structural problems
• properties of stiffness matrix. 1-D structural problems with elimination and penalty approaches
• 1-D thermal and fluid problems
• Trusses and Beams: Formulation of stiffness matrix
• simple truss problems to find displacement
• reaction and stresses in truss members
• Structural analysis using Euler- Bernoulli beam element

Unit 6 Engineering optimization

4 lecture hours

• Introduction to optimization techniques design of Machine Elements
• Johnson’s method