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

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

doi: 10.21656/1000-0887.410148
  • Received Date: 2020-05-24
  • Rev Recd Date: 2020-07-19
  • Publish Date: 2020-12-01
  • For the cable force adjustment of cable-stayed bridges, truss elements were used to simulate the cables, and the amount of inelastic contraction was introduced into the degree-of-freedom vector of the cables. Through matrix transformation of the overall structural balance equations, an influence matrix based on the amount of inelastic contraction was established. With the obtained influence matrix, in the case of the full-bridge cable adjustment, the target cable force can be accurately achieved in theory. In response to the needs of some cable adjustments in actual projects, variables 0 and 1 were introduced to indicate that no adjustment is needed, or some cable is to be adjusted. Based on the integer variables and the adjustment length of the cable, a mixed integer optimization model was established to conveniently realize partial cable adjustment and optimization analysis of the cable. The calculation example demonstrates the effectiveness and feasibility of the optimization model.
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