Research on structural design of box girder aqueduct based on multi-objective optimization
Aiming at the problem that the water load on the box girder aqueduct is much larger than the vehicle load on the same span box girder bridge,the longitudinal stress of the aqueduct body is prominent,in the design of the aqueduct structure,the longitudinal stress reserve and cost of the box girder are considered as a whole,a multi-objective optimization model is constructed with six parameters such as section size and steel consumption as design variables,the normal stress and cost of the aqueduct edge as objective functions,and nine checking indexes such as the deflection and normal stress of the aqueduct body as constraints.Based on the support vector machine approximation model and NSGA2 genetic algorithm,the Pareto optimal solution set of the multi-objective optimization model is solved.Then,the best solution is selected from the Pareto optimal solution set by combining expert scoring,COWA operator,game theory comprehensive weighting and TOPSIS method.The results show that compared with the initial scheme,the normal stress reserve of the aqueduct edge of the optimal scheme is increased by 17.55%,and the total cost of the aqueduct superstructure is reduced by 8.84%.Compared with the finite element analysis,this method saves 65.42%of the calculation time cost while maintaining high calculation accuracy.