Abstract:
During the construction of cable nets, it is difficult to avoid manufacturing and installation errors, which will affect the form-state of cable net. Current research has mostly focused on the effects of cable length errors, cable stiffness errors and support position errors, while less attention has been given to the effects of cable clamp position errors. To explore the impact of cable clamp position error, this paper derived a sensitivity matrix between the deviation of cable forces and cable clamp position errors. Based on the sensitivity matrix, the solution method of the maximum cable force deviation and the most unfavorable distribution of cable clamp position errors are proposed. Then, the effects of the rise-span ratio, grid size, and prestress level on the maximum cable force deviation were examined. Finally, the proposed method was applied to analyze the impact of cable clamp position errors on two cable net structures. The study finds that the most unfavorable installation position errors of cable clamps in saddle-shaped cable nets are mainly distributed on the cable segments near the supports; as the rise-span ratio increases and grid size decreases, the maximum cable force deviation caused by the cable clamp position errors increases. The larger the rise-span ratio, the more significant the influence of the grid size; when the grid size reaches 4 meters, the maximum cable force deviation of cable nets with different rise-span ratio is around 1%. The impact of the prestress level on the maximum cable force deviation is relatively small. For cable net structures at the hundred-meter scale, the maximum cable force deviation caused by cable clamp position errors can reach approximately 3.6%.