The golden ratio is renowned for its aesthetically pleasing and harmonious proportion, found throughout nature. When observed within the context of a spiral, this ratio repeats itself, serving as an efficient way to distribute objects around a central element, maximizing the number of elements while maintaining equal spacing and minimizing wasted space.
IDEA
Designing a roof for football stadium that follows the golden ratio when it comes to spatial distribution of the bleacher and main conceptual element of the shell. The design will be developed based on the best solution found by Galapagos to shade the bleacher and control radiation incidence, by adjusting the inclination of the opening and sizes of the panels on the structure. By this, the design aims to promote comfort, harmony, and efficiency.
Performance Criteria – High performance and low performance
For the development of the iterations, the following parameters were considered as fitness values: The maximum possible size for the panels that allow light to enter the stadium, the largest possible shaded area of seating in the stands, and the minimal amount of direct radiation. The genetic algorithm for the equation is comprised of rotating the upper circle in the three planes to create an angle that provides the stadium with the comfort required by the imposed constraints. Additionally, it considers various panel sizes within a determined range.
PSEUDOCODE
LADYBUG – Sunpath Anlysis + Incident Radiation Benefit/Harm
Study on Sun Protection and Panel Openings on the Facade Layer during December (Summer in Brazil) from 8 AM to 8 PM.
Goal: Reduce the direct exposure to harmful UV rays and excessive heat, which can significantly impact the internal environment of buildings. The main approach is to use the overhangs of the roof to blocking sunlight while allowing natural daylight to penetrate.
Sensitive Analysis Catalogue
The worst iterations from each branch were highlighted in red, and the best iteration was highlighted in green.
Sensitive Analysis | Best Solutions
The solutions that provide the more shaded seats were selected from each round of the Galapagos algorithm.
Sensitive Analysis | Worst Solutions
The solutions that provide the less shaded seats were selected from each round of the Galapagos algorithm.
Sensitive Analysis | Final Solution
The highest percentage of shaded bleacher area: 40.91%
Optimization GIF
