Project 2
1. Modeling
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Software: Use specialized tools like Rhino + Grasshopper with Kangaroo, SOFiSTiK, Easy, or Formfinder.
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Geometry: Define membrane surface using NURBS or mesh geometry.
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Boundary conditions: Set points with fixed or cable-supported constraints (green squares in the image).
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Cables: Model edge cables as tension-only elements.
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Material: Assign membrane properties (e.g., PVC-coated polyester or PTFE-fiberglass) with isotropic/orthotropic behavior.
2. Form-Finding
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Objective: Achieve a stable form under pre-stress or gravity loads.
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Methods:
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Force Density Method (FDM): Quick, good for concept stages.
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Dynamic Relaxation: Iterative, accounts for nonlinear behavior.
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Output: A naturally curved tensioned shape (minimal surface) resisting loads efficiently.
3. Structural Analysis
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Loads: Apply dead load, prestress, wind (CFD can help here), and snow (if applicable).
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Analysis Type: Nonlinear static analysis due to the flexible nature of membranes.
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Outputs:
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Membrane stress distributions (warp/weft or principal directions).
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Cable forces and reactions at supports.
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4. Cutting Pattern Generation
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Flattening the surface while:
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Minimizing distortion (strain and shear).
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Maintaining original dimensions in warp/weft direction.
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Steps:
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Divide the curved surface into panels.
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Use tools like Rhino Membrane, Easy, or GSA for patterning.
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Add seam allowances and direction of fabric (warp/weft orientation).
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Summary Workflow
| Step | Tools | Key Output |
|---|---|---|
| Modeling | Rhino + Grasshopper | Membrane + cable geometry |
| Form-Finding | Kangaroo, Easy | Equilibrium shape |
| Structural Analysis | SOFiSTiK, GSA | Stresses, reactions |
| Cutting Pattern | Rhino Membrane, Easy | Fabric layout |
