改进粒子群算法在系杆拱桥成桥索力优化中的应用

Application of improved particle swarm optimization in the optimization of cable force of tied arch bridge

为确定系杆拱桥合理成桥状态下的索力,先将优化目标与影响矩阵原理结合得到调索的目标函数,再对粒子群智能优化算法的惯性权重加以改善从而实现对算法的改进优化,并使用有限元和数值分析软件将改进后的算法与目标函数结合从而实现吊杆索力的自动调整,将改进后算法求得的索力代入有限元模型中,使拱桥成桥状态能够达到受力合理、线形均匀的目的。优化结果表明,将改进后的粒子群算法应用于系杆拱桥的索力求解中,具有收敛速度快、索力合理、并能保证误差在允许范围内的效果,为实际施工控制中索力计算提供了一种高效的求解方案。

The suspender cable force of a tied arch bridge is the key factor affecting the reasonable completion state of the bridge.In order to determine the cable force of the tied arch bridge in a reasonable state of completion,the optimization objective and the principle of the influence matrix are first combined to obtain the objective function of the cable force adjustment,and then the inertia weight of the particle swarm intelligent optimization algorithm is improved to achieve the improved optimization of the algorithm.Using finite element and numerical analysis software,the improved algorithm is combined with the objective function to realize the automatic adjustment of the suspension rod cable force,and the cable force obtained by the improved algorithm is brought into the finite element model so that the arch bridge can achieve the states of reasonable stress and uniform line shape.The optimization results show that the application of the improved particle swarm algorithm to the solution of the cable force of the tied arch bridge has the effects of fast convergence speed,reasonable cable force,and the error within the allowable range.This method provides an efficient solution for cable force calculation in practical construction control.