The Rationality of the Geometric Topology of Cable Dorms

To discuss the robustness of a structure in terms of the rationality of its geometric topology, the relative importance for components is considered as the key. Firstly in this paper, the sphere of influence caused by the local damage on one component is analyzed. As well, the influence distribution map of the local damage is plotted. Then, the quantity of the sphere of influence is proposed and defined as the relative importance for the component. Based on the obtained influence distribution map and the quantitated relative importance, the optimization of the geometric topology of a cable dome to improve its robustness can be further considered. Finally, as an example, the analysis of a Geiger cable dorm is implemented to prove the effectiveness of the presented method. Meanwhile, the roles of the influence distribution map and the quantitated relative importance in optimizing the system are shown.