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基于动力松弛法的悬索桥主缆找形方法分析与工程实践研究

             

摘要

在悬索桥主缆找形计算分析中,基于动力计算理论引用动力松弛法,为悬索桥找形提供新的思路.根据悬索桥主缆的受力特征,给出了动力松弛发在悬索桥主缆找形计算方式,并以某工程实例为空为算例对象,通过与传统解析算法和迭代算法在悬索桥找形中的应用,对比分析了动力松弛法理论在悬索桥主缆找形计算结果精度和计算速度.研究结果表明:动力松弛法通过对研究体系进行时空的离散化来将静力学问题转化为动力学求解,计算收敛速度要明显高于抛物线法和节点法;对主缆线形内力的计算结果与有限元迭代算法误差在5%范围内,吻合度较高.基于动力松弛法在悬索桥主缆找形中的运用,具有计算稳定,收敛性好的优势,能有效解决悬索桥主缆选形等几何非线性问题中,满足工程实用需求.%in this paper,the dynamic relaxation method based on dynamic calculation theory is used to provide a new idea for the shape of suspension bridge.According to the stress characteristics of suspension bridge main cable,dynamic relaxation is over the suspension bridge main cable is given for calculation,and with a project example is empty for example object,with traditional parsing algorithm and iteration algorithm in the application of suspension bridge for shape,contrast analysis of the dynamic relaxation method theoretical calculation result in suspension bridge main cable shape precision and computing speed.Research results show that the dynamic relaxation method based on the research system for the discretization of space and time to dynamics statics problem can be converted to solving,the convergence speed significantly higher than the parabola method and node method;The calculation results of the inner force of the main cable and the error of the finite element iteration algorithm are within 5%.Based on dynamic relaxation method in suspension bridge main cable shape,the application of calculation stability and convergence advantage,can effectively solve the suspension bridge main cable to choose the geometric nonlinear problem such as form,meet the demand of practical engineering.

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