鞍形索网结构索夹安装位置误差影响分析

    Influence Analysis of Cable Clamp Position Error in Saddle-shaped Cable Net

    • 摘要: 在索网施工过程中,制作和安装误差会对结构的成形态产生影响。现有研究大多聚焦于索长误差、拉索刚度误差以及支座安装误差的影响,较少关注索夹安装位置误差影响。为了探究索夹安装位置误差对鞍形索网结构受力性能的影响,首先推导了索力偏差与索夹安装位置误差的敏感度矩阵,基于敏感度矩阵分析给出最大索力偏差和索夹位置误差的最不利分布求解方法;随后,研究了不同矢跨比、网格尺寸和预应力对最大索力偏差的影响;最后,将提出的方法应用于2个鞍形索网结构工程的索夹安装位置误差影响分析。研究发现,鞍形索网结构的索夹最不利安装位置误差主要分布在靠近支座的索段;随着矢跨比增大、网格尺寸减小,索夹位置误差导致的最大索力偏差亦增大;矢跨比越大,网格尺寸的影响越显著;当网格尺寸达到4 m时,不同矢跨比索网的最大索力偏差均在1%左右;预应力对最大索力偏差影响较小;对于百米级的索网结构,由索夹位置误差引起的最大索力偏差能达到3.6%。

       

      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%.

       

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