Quasi-Sierpinski Structure for Uniform Load Distribution

TL;DR

This paper introduces a fractal-like structure inspired by the Sierpinski triangle that achieves uniform load distribution on seabed supports, offering flexible design options for ecological land reclamation.

Contribution

It proposes a novel fractal structure with specific displacement functions to ensure uniform load distribution and high design flexibility.

Findings

Supports displace vertically following Takagi class functions.

Vertical deformations follow Takagi class; horizontal deformations relate to Cantor function.

Structure allows unlimited combinations of element areas and materials.

Abstract

Land reclamation methods, indispensable for the proper development of modern coastal cities, are ecologically destructive. We present a fractal structure, similar to a Sierpinski triangle, which solves this problem by resting directly on the seabed thanks to the uniform load distribution we achieve on its base. To obtain this uniform distribution, we show that the supports of the structure must displace vertically following any function of the Takagi class. This causes the vertical deformations of the structure to follow this same class and the horizontal deformations to be related to the Cantor function. The structure works with an unlimited number of combinations of areas of its elements and materials, which gives designers a high degree of constructive flexibility.