Manufacture Error and its Effects on the Initial Pre-Stress of the Geiger Cable Domes

The model of Type-I Extreme Value Distribution (also named Gumbel Distribution) is firstly proposed for the analytical model of the manufacture errors of the cable length which are according to the average error of the cable manufacture industry specifications. The analysis procedure of the manufacture errors are formulated subsequently. At the same time, the effects of the effective sectional area and elastic module (herein using the multiplication of the cable stiffness EA) of the cables are also taken into account. Under the background of the Blue Sea cable dome, the structural forms of the geometry are compared and investigated for three types of cable domes, the Blue Sea cable dome, the classical cable dome and the rib-hoop cable dome, respectively. Next, the effects on the initial pre-stress of three cable domes from the manufacture errors of the cables which include different kinds of cables and any one of the cables are mainly evaluated thoroughly. The effects on the structural performances of three cable domes can be found through analysis and the cables which are sensitive to the manufacture errors are also found. The works can provide valuable guideline to the manufacture and installation of the cable dome.