Optimization of Voronoi tessellation with diagrid & hexagrid using MATLAB
摘要
The search for efficient lateral load–resisting systems in high-rise buildings has led to the exploration of innovative structural geometries such as Voronoi tessellations, diagrids, and hexagrid. This study presents a comparative investigation of these three structural configurations when applied to tall building systems. Using consistent material properties, geometric parameters, and loading conditions, the performance of each system is evaluated in terms of global stiffness, lateral displacement, inter-storey drift, load path efficiency, and structural redundancy. Voronoi-based façades, characterized by irregular cellular patterns, are examined for their potential to distribute stresses organically and enhance structural resilience. Diagrid systems are analyzed for their well-known axial load efficiency and reduced need for vertical columns, while hexagrid systems are assessed for their uniform load distribution and geometric stability. The comparative results highlight the strengths and limitations of each system, offering insights into their suitability for different architectural and performance demands. This study aims to support engineers and designers in selecting optimal structural patterns for modern tall buildings, balancing aesthetics, material efficiency, and structural performance.