Anti-overturning Reinforcement for Single-column Pier Straight Beam Bridge Based on Multi-objective Optimization
Aiming at the single-column pier straight continuous beam bridge with high overturning risk,the method for adding steel cap beam was used to reinforce the single-column pier.The support at single-column pier was changed from the original single-support to three-support,so as to improve the anti-overturning ability of single-column pier straight beam bridge.To improve the lateral overturning stability coefficient and to reduce the eccentric bending moment of single-column pier as much as possible,the multi-objective optimization model was established.The original bearing size of single-column pier and the new bearing spacing of steel cap beam were as the design variables.The lateral overturning stability coefficient and the safety factor of eccentric bending moment were as the objective functions.Then,based on the parametric finite element model established and combined with Python,NSGA-II genetic algorithm and ABAQUS,the Pareto optimal solution set of the multi-objective optimization model was solved.The weight of objective function was calculated by using the game theory comprehensive weighting method.Then the TOPSIS method was used to calculate the intimacy coefficient of Pareto optimal solution set,so as to select the best reinforcement design scheme.The result indicates that the reinforcement method for adding steel cap beam can effectively improve the anti-overturning ability of single-column pier straight beam bridge.The overturning stability coefficient of single-column pier straight beam bridge increases by 167%after the initial scheme is adopted,which meets the requirements of relevant specification.Python can effectively combine the optimization algorithm with the finite element model of bridge established with ABAQUS to obtain a uniformly distributed Pareto optimal solution set.Compared with the unreinforced state,the overturning stability coefficient of the optimized reinforcement scheme increases by 201%.Compared with the initial reinforcement scheme,the overturning stability coefficient of optimal reinforcement scheme increases by 37.25%.The safety factor of eccentric bending moment increases by 4.04%.
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