An Analysis of Drawing Language Model – The Algorithmic Pattern of Yazdi-bandi; The Ceiling of Hashtbehesht Palace of Isfahan in Line with The Reliability of Free – Structural Form

The ceiling in the safavid era contain the structural richness in the structure of palaces. Yazdi-bandi structure is investigated in Hashtbehesht ceiling with the aim of algorithmic geometric analysis as well as structural analysis in the free form. Yazdi-bandi ceiling pattern, with its geometrical instrument, in terms of geometry and structural role, is formed based on Rasmi-bandi drawings network. Yazdi-bandi geometry is located in the central ceiling in the forms of concentric circles, diamond-shaped units, flat stars, and arcs across the rows. Space structure is one of the major modern contemporary structures, which is, both adaptable to Yazdi-bandi geometry and enjoys appropriate seismic behavior due to its light weight. It enjoys the advantage of covering the broad spans with no need for column supports. The main question is how to draw the layers of Yazdi-bandi in 3d considering the algorithmic design in order to guarantee the stability of the structure of free structural form. First, the structural analysis is conducted as a reverse plan and then as an algorithmic drawing in Grass Hopper as a radial from the center. Then the nature of loads and interconnections are geometrically analyzed and loaded onto ABAQUS and SAP2000 softwares considering the structural members of space structure in Yazdi-bandi. In the final step, the proposal of free-form space structure model with the highest load-carrying capacity is brought forward with respect to height to span ratio and initial configuration. The initiative in this research is to match the geometrical parameters of this arc with a free form in order to study the reliability and stability of this geometry so that its efficiency or inefficiency could be determined. This could be a way of ensuring the freedom of action and the possibility of this method for architects to adapt their designs to Yazdi-bandi geometry. The method used in this research is based on logical reasoning, which, finally, leads to the classification of descriptive geometry in both traditional and modern language as well as structural analysis. The results of this research have been announced in the form of graphic codes and suggestion of using space structure in building free structures.