Design, Computation and Computer Controlled Devices

Transcription

1 4.212 Design Fabrication Design, Computation and Computer Controlled Devices Prof. Larry Sass Department of Architecture and Planning MIT

2 LECTURE #4 [1] Designing with Paper [2] Surface Representation in CAD [3] Designing with Developable Surfaces

3 [1] Designing with Paper

4 Development of Design Methods 1 drawings to buildings 2 CAD drawing to buildings 3 computer models to drawings to building 4 physical models computer model nc 5 computer models physical models - nc

5 Past Design Methods S Hand Drawing Building

6 Current Design Methods CAD Drawing Building

7 Current Design Methods s Computer Model CAD Drawing Building

8 Future Design Methods > Palladio Architect - A Architect - B Gehry Paper Hand Drawing CAD Drawing Computer Model Physical Model Paper-less Building Building CAD Drawing Computer Model Computer Model Building NC Building NC Building

9 Future Design Methods > Palladio Architect - A Architect - B Gehry Hand Hand 2D Sketch Play Sketches Drawings CAD Models Hand Drawing CAD Drawing Computer Model Physical Model Digital Play Building Building CAD Drawing Computer Model Computer Model Building NC Building NC Building Final Representation

10 Future Design Methods > Palladio Architect - A Architect - B Gehry Hand Hand 2D Sketches Drawings CAD Sketch Models Play Hand Drawing CAD Drawing Computer Model Physical Model Digital Play Building Building CAD Drawing Computer Model Computer Model Building NC Building NC Building Final Representation

11 Gehry And Curved Surfaces models should reflect the nature of the final materials used in construction the dominant material in construction is sheet metal; most models are made of paper surfaces which act like metal surfaces. fast way of modeling and reflecting on ideas

12 Design Process system to making paper models intern create shapes and surface the designers (Frank, Craig, Edwin) goals are to view, evaluate and present desires for the next iteration

13 Digitally Playing with Paper 1 playing with shapes and volumes 2 surface models are scaleable 3 process is fast surface models only

14 Surface Model Physical Model 1 geometric shapes simple or complex 2 separate surfaces 3 cut sheet 4 cut the flattened shapes from sheet material 5 - glue

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20 [2] Curves

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22 Geometric Representation Euclidian 300 BC Geometric Descriptions Used to describe Points, Lines and Shapes

23 The Theory of Parallels The Theory of Rectangles (Palladio)

24 Paperless Representation 1990s Shape Descriptions Points Information

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27 Controlled Implicit Surface CURVE / SURFACES Non-Euclidian Geometry Developable (Surfaces) 1) Developable Surface 2) Double Curvature Two dimensional (Synclastic) 3) Parametric Surface Two dimensional (Anticlastic)

28 Developable (Surfaces) Classes Shapes Normal Developable Cylinder Elliptic Binormal Developable Cone Tangent Developable Circular Flat Irregular Flat

29 Two dimensional (Synclastic) Classes Shapes Complex Convex Spherical Ellipsoid Normal Paraboloid Elliptic Paraboloid

30 Two dimensional (Anticlastic) Classes Shapes Strict Saddle Ruled Surface - Hyperbolic Spherical Ellipsoid Saddle Ruled Surface Hyperbolic Parabolic Paraboloid Elliptic Paraboloid

31 Parametrically Controlled Implicit Surface Developable (Surfaces) Bilinear Coons Surface Skinned Gordon Surf Rev Swept Normal Developable Binormal Developable X X Tangent Developable

32 Parametrically Controlled Implicit Surface Two dimensional (Synclastic) Bilinear Coons Surface Skinned Gordon Surf Rev Swept Complete Convex X Normal X

33 Parametrically Controlled Implicit Surface Two dimensional (Anticlastic) Bilinear Coons Surface Skinned Gordon Surf Rev Swept Strict Saddle X Saddle X X

34 SPLINES AND PATCHES Complex Curves Curve Approximation 1) Linear Approximation 2) Polylines 3) Splines

35 SPLINES Complex Curves SPLINE CURVE BSPLINE basic spline

36 SPLINES Complex Curves Hull Knots BEZIER CURVE NURBS CURVE Non-uniform rational bspline

37 PATCHES Complex Surfaces U V Patch created from two spline curves

38 Parametrically Controlled Surface Complex Surfaces Control Net Skinned Section Curves are Defined in a Longitudinal Direction Gordon s Each Point of Control Net is Positioned

39 Parametrically Controlled Surface Complex Surfaces Translated Profiles Surface of Revolution Section Curves Rev. Around a Central Axis Swept Section Curves Translated In Specified Direction

40 Parametrically Controlled Surface Complex Surfaces Tensor Products Bilinear Surface Translated Between Two Rigid Lines Coon s Four Curves in Conjunction Used to Create a Surface

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49 [3] Designing with Developable Curves (Assignment 2a)

50 (Assignment 2a) Final Model Due in Class Monday October 20 th a. One 6 sided (or more) model of with no planar sides (this is called a Developable Box ) b. One model built of two developable boxes (both boxes of 6 sides or more) Supplies a. Paper b. Acetate Sheets (Bob Slate) c. Hot Glue Gun (Pearl) Point of Purchase for supplies Paper & Acetate Bob Slate Stationary Harvard Square Two locations

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