Monday, October 31, 2016
Sunday, October 30, 2016
Project 1
01 Introduction
The KAFD Metro Station, by Zaha Hadid Architects is clad in
a mirrored skin of tri-level diagrid shaders. The diagrid extrusions demark the
location of internal metro platforms or levels, however the building skin will
be the focus of this project. On each side, it consists of two tri-part screens
with one quad-part screen between. Each of these diagrid mullion extrusions
sits on a plane curved in and out in the y-direction and tapering in and out in
the z-direction. From these, correspondingly curved ceiling planes extend back
to the next level of screens.
Project Render
02 Modelling Process
To recreate these complex, yet conveniently symmetrical,
surface geometries would take several steps: First to create the curved line
work of the outer surface contour, next to extrude this line work into a
surface, and finally to create and extrude the diagrid pattern across this
surface.
Screen Section
03 Line Work
Begin with a line of defined (easy to work with) length 30’.
Next divide the line into six segments and use these points. Next cull every
other list point and translate the central group up and out in the y-direction.
These points can then be interpolated to create the contour
line. Because of the more complex selection of points for the mid-level screens,
more data organization is necessary to merge the points’ data structure in the
correct order.
04 Surface Creation
After setting the line work, the interpolated curves can be
mirrored vertically and lofted together to form the surface. Later it was found
that the surfaces could not taper all the way to meeting on any of the lofted
surfaces, for the diagrid function would fail to form correctly.
05 Surface Extrusion and Diagrid Creation
The surfaces can then be populated by the grid. To
accomplish this most effectively I attached a plug-in called LunchBox. This
easily allows the creation of a diagrid crossing pattern on the surfaces with
specifications for the number of cells in the U and V directions. This gives us
the layout of the mullions.
These cells can then be scaled inwards, using
the area centroids as reference points. These new diamond shapes as well as the
original surface can be extruded out in the y-direction, capped, and Boolean
differenced out to create the mullions with thickness.
06 Ceiling Planes
To create the ceiling planes above each tier of screens, the
top curve of the surfaces (the ones originally used to loft) can be extruded
along a line. The bottom two rows’ ceilings extend back horizontally and
without curvature, but the roof plane from the top tier extrudes along an arc
to form the vaulted ceiling.
07 The Other Half
All these surfaces can then be mirrored across the y-axis to
give the other half of the geometry.
08 Catenary Core
As an extra embellishment, and as an opportunity to use
Kangaroo physics, the central mass of the structure can be created using gravity
force on a line to create catenary curves.
These curves can then be extruded into the surface that
gives the curved base of the structure.
09 Analysis
Curvature analysis done on the mullion diagrid surface
reveals the points of greatest surface warping. Predictably, these high points
form at the mid points of the cell blocks and at the thin points between
blocks.
Curve Analysis Plan View
Curve Analysis Perspective
Curve Analysis Front Elevation
In the future, if these surfaces were to be redesigned for
greater structural stability, these curves could be lessened to transfer forces
in more planar directions.
Project Render
Project Elevation
Project Render
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