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Computer Aided Engineering - PowerPoint Presentation

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Computer Aided Engineering - PPT Presentation

Design Anupam Saxena Associate Professor Indian Institute of Technology KANPUR 208016 What is Design 4172001 Anupam Saxena 2 lairweborgnz Is it Engineering 4172001 Anupam Saxena ID: 1046852

2001anupam saxena set solid saxena 2001anupam solid set closed boundary design simple interior form orientable surface solids points point

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1. Computer Aided Engineering DesignAnupam SaxenaAssociate ProfessorIndian Institute of Technology KANPUR 208016

2. What is Design?4/17/2001Anupam Saxena2lairweb.org.nz

3. Is it Engineering?4/17/2001Anupam Saxena3dezeen.com

4. Is it Rational?4/17/2001Anupam Saxena4reading.ac.uk

5. Product design!4/17/2001Anupam Saxena5moeco.co.uk

6. Design4/17/2001Anupam Saxena6

7. The DESIGN Process…4/17/2001Anupam Saxena7Imagination yield appealing and workable, in fact efficient end productsImagination requires freedom!Constrained minds cannot think!The DESIGN PROCESS may or may not follow a set of rules A set of Rules may or may not be common in any TWO design processesDesign process ‘A’ may or may not be better than the design process ‘B’.

8. The Design process I learnt…4/17/2001Anupam Saxena8Stage I: Function Determination – Rapid fireStage II: Choosing Functionality --- NEED and AFFORDABILITYStage III: Form Rendering – Rapid fire Stage IV: Form choosingStage V: Developing Few Chosen FormsStage VI: Rendering Spatial Forms – Parametric Solid Modeling Stage VII: Prototyping the selected modelsCooperative Competition Scenario

9. # 2Solid Modeling: Curtain raiser

10. Perception of Solids4/17/2001Anupam Saxena10

11. Solid Modelers4/17/2001Anupam Saxena11CATIATMhttp://www.3ds.com/products/catia/portfolio/I-DEASTMengineering.purdue.eduPro-engineerTMAutoCADTM…file-extensions.orgcadalyst.com

12. Spring and Bolt examples…4/17/2001Anupam Saxena12

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53. Complex modeling with ease…4/17/2001Anupam Saxena53creativeflight.com

54. Computer Aided Engineering DesignAnupam SaxenaAssociate ProfessorIndian Institute of Technology KANPUR 208016

55. # 3How do Solid Modelers work?

56. How do Solid Modelers perceive Solids4/17/2001Anupam Saxena

57. DESIGN: Starting PointFunctionality of a System/ComponentMake a WISH listSURVEY: Ask a lot of PeopleList as elaborate as possibleCan choose critical items for form generationCan come up with many forms satisfying a set of items CHOSEN from the WISH list4/17/2001Anupam Saxena

58. Understanding FORM DESIGNFORM DESIGNMANUALCREATIVITYSKILLSEXPERIENCESKETCHPAPER-PENNEED SOME A PRIORI NOTIONAUTOMATEDNO IDEA ABOUT FORMCOMPONENTS4/17/2001Anupam Saxena

59. Type writer and Word processorWith the Word processor FLEXIBILITY: Can change the matter anytime, anywhere in the documentEASY TO CORRECT ERRORS NO WASTAGE as such of paperOFFERS A LOT OF OPTIONS for font size, font style, formatting, making tables and more.CAN PRINT WHEN DONE, i.e., get the final productserpentinegallery.orgcodeproject.com4/17/2001Anupam Saxena

60. AUTOMATED FORM DESIGNMODULARE.G., NATUREFINITELY MANY DESIGNSALL COMPOSED FROM A SET OF ELEMENTS~120 ODD ELEMENTS“HUMAN DESIGNS”MUCH LESSER ELEMENTScomplex.upf.es4/17/2001Anupam Saxena

61. How do we perceive Solids ?Geometric entities that occupy a “finite” volume. Solids must satisfy a set of properties on Boundedness Boundary and interior Boundary Determinism Homogenous three-dimensionality Rigidity Closure4/17/2001Anupam Saxena

62. BoundednessA set V of points must occupy a finite volume in E3. 4/17/2001Anupam Saxena

63. Valid Solids ?4/17/2001Anupam Saxena

64. Valid Solid ?4/17/2001Anupam Saxena

65. Boundary and interiorLet b(V) and I(V) be two subsets of V such that b(V)I(V) = Vb(V) comprises of boundary pointsI(V) is the set of interior points. A point p  V is an interior point (p  I(V)) if there exists an open ball enclosing p consisting of points in V only. An OPEN BALL: if p0 is the center of the ball B of radius r, and if pi  B, then |pi – p0| < r.A point p is a boundary point if p  V and p  I(V). boundary b(V)Space E3 – VrinteriorI(V)ballBB1p4/17/2001Anupam Saxena

66. Boundary DeterminismJordan’s theorem for a two-dimensional Euclidean plane (E2) :a simple (nonintersecting) closed (Jordan) curve divides E2 into regions interior and exterior to the curve. Formally, for C as a continuous simple closed curve in E2, E2\C (complement of C in E2) has precisely two connected components, I(V) (interior, bounded) and E(V) (exterior, unbounded). C forms the boundary for each set. For a pair of non-empty subsets U and V of E2, U and V are connected if U V = {} and U V = E2. Let C = CI + CE. Let U = I(V) + CI and V = E(V) + CE. Then the above holds. I(V)E(V)C4/17/2001Anupam Saxena

67. Boundary DeterminismExtended Jordan’s theoremEquivalently in E3, a simple and orientable closed surface b(V) divides a solid V into the interior (I(V)) and exterior (E(V)) spaces. if the closed surface b(V) of a solid V is known, the interior I(V) of the solid V is unambiguously determined A clue: solids should be represented and stored as simple, closed and orientable surfaces4/17/2001Anupam Saxena

68. Homogenousthree-dimensionalityA solid set V must not have disconnected or dangling subsets as such sets defy boundary determinism above.4/17/2001Anupam Saxena

69. RigidityThe relative positions between any two points p1 and p2 in V must be invariant to re-positioning or re-orientation of the solid in E3 A solid must not be elastic in nature when subjected to repositioning4/17/2001Anupam Saxena

70. Rigidity4/17/2001Anupam SaxenaA deforming body under any rigid-body transformation, like translation, rotation or their combination, is NOT allowed

71. ClosureAny set operation (union, intersection and subtraction) when applied to solids V1 and V2 must yield a solid V3 satisfying all the aforementioned propertiesA clue: Set operations may be used to ARRANGE components/solids4/17/2001Anupam Saxena

72. Example: A cube6 faces, 8 vertices, 12 edges6 faces make a simple, closed and orientable surface6 faces are like the patches comprising the closed surface4/17/2001Anupam Saxena

73. Example: A sphereA simple, closed and orientable spherical surface represents a solid sphere4/17/2001Anupam Saxena

74. Example: A torusA simple, closed and orientable toroidal surface represents a donut4/17/2001Anupam Saxena

75. Example: An invalid solid7 facesDo not form a closed surfaceDoes not represent a solid4/17/2001Anupam Saxena

76. SummaryA simple, closed and orientable surface is good enough to represent a solid.One need not store a set V of points.This would cause storage problemsSet operations will be slowSolid modeling software would be very slow overall4/17/2001Anupam Saxena

77. The Banana Trick