Study of the most effective optimization process for arches utilizing a computational model based on cellular automata

This article introduces a computational examination of semi-circular masonry arches through the application of one-dimensional two-state and three-state cellular automata (CA) models. The primary aim is to define regulations for emulating the performance of masonry arch structures. A total of 50 semi-circular arch specimens were produced, featuring diverse radius, base thickness, crown thickness, and tensile stress. By employing the suggested algorithms for two-state and three-state CA models, the models for semi-circular arches were derived following one billion iterations for the two-state regulations and ten million iterations for the three-state regulations. Subsequently, the models underwent testing with an additional 50 samples, and the error percentage was computed for each model in comparison to the model produced by ANSYS software Moreover, the acquired CA models were employed to enhance the crown and base thicknesses for each arch, with the objective of attaining a tensile stress ranging from 49000 to 51000. Two optimization scenarios were taken into account: (1) establishing the base thickness given the radius and crown thickness, and (2) determining the crown thickness given the radius and base thickness. For each scenario, a series of 50 samples was generated utilizing ANSYS software to create a benchmark dataset.

Study of the most effective optimization process for arches utilizing a computational model based on cellular automata Keywords:

Cellular automata , arch , ANSYS , Optimization , Tensile stress