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| Semi-analytical algorithm of cable shape under non-slip stiffness theory |
| Received:December 01, 2021 Revised:January 13, 2022 |
| View Full Text View/Add Comment Download reader |
| DOI：10.7511/jslx20211201003 |
| KeyWord:non-slip stiffness theory unloaded cable shape semi-analytic algorithm influence matrix correction method |
| Author | Institution |
| 代百华 |
中交第二航务工程局有限公司, 武汉 ;中交公路长大桥建设国家工程研究中心有限公司, 北京 |
| 朱金柱 |
中交第二航务工程局有限公司, 武汉 ;长大桥梁建设施工技术交通行业重点实验室, 武汉 |
| 胡钦侠 |
中交第二航务工程局有限公司, 武汉 ;交通运输行业交通基础设施智能制造技术研发中心, 武汉 |
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| Abstract: |
| In order to calculate the unloaded cable shape of a suspension bridge more concisely and accurately in the design stage, a non-slip stiffness theoretical calculation method for the iterative process of horizontal tension-predeviation-corrected horizontal force of an anchor span is proposed.Based on the segmented catenary theory, three different situations of unloaded cable shape calculation are discussed, and the calculation ideas are on this basis.Under the horizontal tension of any anchor span, considering the influence of the saddle on the shape of the empty cable, the internal force and linear balance equations of the left and right saddle groove contact section and the suspended section of each span are derived under the condition that the unstressed cable length of each span is constant and the force or moment on both sides of the saddle is balanced.The influence matrix and correction formula between the parameters to be solved in the iterative process are also derived.Taking the coordinate error of the fixed-point mileage at the right tower saddle as the convergence condition, the dichotomy is used to update the theoretical horizontal tension of the left anchor span, and then the pre-deviation of each saddle and the internal force and linear displacement of each span cable segment under the condition of empty cable are obtained.The reliability of the method is verified by the comparison of examples.The results show that on the basis of the known structural parameters in the bridge state, only one variable parameter of the horizontal tension of the left anchor span is needed to obtain the cable strand alignment and internal force of each span and the saddle pre-bias.Compared with the traditional sliding stiffness theory method, the iterative process of this method is convenient and concise, easy to converge, and has high accuracy.It does not need to fix or release a saddle constraint repeatedly for iterative solution, which improves the calculation efficiency and is suitable for the design and calculation of symmetric or asymmetric cable of any span. |
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