| 悬索桥主缆成桥线形的解析迭代计算方法 |
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| 引用本文： | 张佳文,赵彬.悬索桥主缆成桥线形的解析迭代计算方法[J].湘潭大学自然科学学报,2011,33(1):47-52. |
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| 作者姓名： | 张佳文 赵彬 |
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| 作者单位： | 中南大学土木建筑学院;湖南都市职业学院;长沙理工大学土木与建筑学院; |
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| 基金项目： | 湖南省教育厅科学研究项目 |
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| 摘 要： | 针对已有计算方法存在的不足，基于悬索桥在恒载作用下的力学特点，根据受力平衡条件和变形相容条件，采用悬链线单元且自动计入了柔索结构的所有非线性，建立悬索桥线形和无应力索长的计算公式.结合施工中加劲梁的架设特点，确定成桥线形分析中吊索力，对计算悬索桥主缆线形的非线性方程组采用二分逼近法方法求解并编制程序.最后通过算例验证了该方法的有效性、计算精度和稳定性，并将计算结果与其他文献的计算结果进行了比较.分析结果表明：该方法具有计算过程简洁和精度满足成桥几何线形的设计要求，适用于大跨度悬索桥的主缆线形和内力的计算.
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| 关 键 词： | 悬索桥 主缆线形 分段悬链线 无应力索长 二分逼近法 |
Calculation Method of Iterative Analysis on Main Cable Shape of Suspension Bridges |
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| ZHANG Jia-wen,ZHAO Bin.Calculation Method of Iterative Analysis on Main Cable Shape of Suspension Bridges[J].Natural Science Journal of Xiangtan University,2011,33(1):47-52. |
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| Authors: | ZHANG Jia-wen ZHAO Bin |
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| Institution: | ZHANG Jia-wen1,2,ZHAO Bin3(1.School of Civil Engineering and Architecture,Centre South University,Changsha 4100075,2.Hunan Urban Professional College,Changsha 410137,3.School of Civil Engineering and Architecture,Changsha University of Science and Technology,Changsha 410076 China) |
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| Abstract: | In view of the drawbacks of the existed methods,based on mechanics characteristics of suspension bridge,the calculation method of the target configuration of main cable and the unstressed element length was studied,the analytical solution of an elastic catenary cable element was utilized to establish the computing formulas for finding the target configuration of main cable and the unstressed element length.The presented nonlinear equations were analyzed by dichotomy approximation method.Meanwhile,the calcul... |
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| Keywords: | suspension bridge target configuration of main cable segmental catenary unstressed element length dichotomy approximation method |
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