Parametric Optimization - Ruled Surfaces

RULED SURFACES OPTIMIZATION Digital Design in Grasshopper

The study’s structure can be divided into two essential steps: - The study of the generating technique of the geometry and its surface, and the examination of the construction details and the joints of each set of beams, of Daegu Gosan Public Library.

adaptation strategy

- The rereading of the technique and architectural details with another type of surface, a arbitrary toroidal surface, through a series of tests and analisis carried out with a parametric program, and find a better structural solution.

The geometry of ruled surfaces is relevant for freeform architectural design, owing to the fact that any negatively curved freeform shape can be approximated by a smooth union of ruled surface strips We generate a ruled surface moving a point on a straight line segment along a curve and changing its direction simultaneously.

geometry study structure pattern

defining curves

surface

curvature analysis

developable surface

control of the geometry, variation

analysis of the approximation of the original surface: finding the Best Approximation Pattern

a Generated a ruled surface with the twisted curves, we can define a variation of the beam axis with a shifted list of points (a : +1,-3; b: 1,0; c: 1,-3).

Checking the angle between the faces of the beams that are combined in the Same union.

We can obtain surfaces generated by lines connecting points on the generating curves.

Changing the order of connection, keeping in mind that we are looking for an angle between the beam faces as uniform aspossible, we controled the range and the count of connection with the same angle.

best shift pattern

b

c