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一种基于非弹性收缩量的斜拉桥调索混合整数优化模型

王家林 王成彦 曹珂瑞

王家林, 王成彦, 曹珂瑞. 一种基于非弹性收缩量的斜拉桥调索混合整数优化模型[J]. 应用数学和力学, 2020, 41(12): 1336-1345. doi: 10.21656/1000-0887.410148
引用本文: 王家林, 王成彦, 曹珂瑞. 一种基于非弹性收缩量的斜拉桥调索混合整数优化模型[J]. 应用数学和力学, 2020, 41(12): 1336-1345. doi: 10.21656/1000-0887.410148
WANG Jialin, WANG Chengyan, CAO Kerui. A Mixed Integer Optimization Model Based on Inelastic Contraction for Cable Adjustment of Cable-Stayed Bridges[J]. Applied Mathematics and Mechanics, 2020, 41(12): 1336-1345. doi: 10.21656/1000-0887.410148
Citation: WANG Jialin, WANG Chengyan, CAO Kerui. A Mixed Integer Optimization Model Based on Inelastic Contraction for Cable Adjustment of Cable-Stayed Bridges[J]. Applied Mathematics and Mechanics, 2020, 41(12): 1336-1345. doi: 10.21656/1000-0887.410148

一种基于非弹性收缩量的斜拉桥调索混合整数优化模型

doi: 10.21656/1000-0887.410148
详细信息
    作者简介:

    王家林(1968—),男,教授,博士,硕士生导师(通讯作者. E-mail: 747085700@qq.com).

  • 中图分类号: O302|U448.27

A Mixed Integer Optimization Model Based on Inelastic Contraction for Cable Adjustment of Cable-Stayed Bridges

  • 摘要: 针对斜拉桥成桥索力调整问题,用杆单元模拟拉索,将非弹性收缩量引入拉索的自由度向量中,通过对整体结构平衡方程进行矩阵变换,建立了基于非弹性收缩量改变量的影响矩阵.利用得到的影响矩阵,在全桥调索情况下,理论上可精确达到目标索力.针对实际工程中部分调索的需求,引入0,1变量分别表示不调整、要调整某根拉索,与拉索的调索长度共同组成优化变量,建立了一个混合整数优化模型,可方便地实现部分调索优化分析.用算例演示了优化模型的有效性和可行性.
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出版历程
  • 收稿日期:  2020-05-24
  • 修回日期:  2020-07-19
  • 刊出日期:  2020-12-01

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