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确定拱桥斜拉扣挂施工扣索张力的改进迭代算法 被引量:20

Improved Iteration Algorithm for Determination of Tension of Fastening Stays for Cantilever Construction of Arch Bridge
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摘要 针对正装迭代法确定斜拉扣挂施工扣索张力计算效率较低的特点,提出计算效率较高的改进迭代算法,该方法首先以不计切线拼装位移的安装线形达到期望线形为依据,确定合适的扣索张力迭代初值;然后进行正装迭代计算,通过位移影响矩阵乘以调整系数实现加速迭代收敛,最终得到符合期望线形要求的扣索张力。为验证改进迭代算法的正确性和适用性,分别采用正装迭代法和改进迭代算法确定某大跨钢管混凝土拱桥的扣索张力,并比较其计算收敛速率。结果表明,正装迭代法经16次迭代后计算收敛,而改进迭代算法经6次迭代后计算收敛。说明改进迭代算法较正装迭代法确定斜拉扣挂施工扣索张力更为高效,便于工程应用。 The improved iteration algorithm of high calculation efficiency for determination of the tension of the fastening stays for cantilever construction of the arch bridge was proposed because the calculation efficiency of the forward iteration algorithm for the same purpose was low.In the improved iteration algorithm,the expected alignment of the arch rib of the arch bridge to be achieved by the assembling alignment not considering the tangential displacement in the assembling was firstly taken as the basis and the appropriate initial values of iteration for the tension of the fastening stays were determined.Then,the forward iteration calculation was carried out and the speedy iteration convergence was to be realized through multiplying the displacement influence matrix in the calculation with the adjustment coefficients and finally,the tension of the fastening stays that conformed to the expected alignment was obtained.To check the correctness and applicability of the improved iteration algorithm,the tension of the fastening stays for a long span concrete-filled steel tubular arch bridge was determined respectively by the forward iteration algorithm and the improved iteration algorithm and the calculation convergence rates of the two algorithms were compared.The results show that the calculation of the forward iteration algorithm converges after 16 times of iteration while the calculation of the improved iteration algorithm converges after6 times of iteration,proving that the improved iteration algorithm for determination of the tension of the fastening stays is more efficient than the forward iteration algorithm and is more convenient for application to the cantilever construction of the arch bridge.
出处 《桥梁建设》 EI CSCD 北大核心 2016年第2期65-69,共5页 Bridge Construction
基金 国家973计划项目(2015CB057700)~~
关键词 拱桥 钢管混凝土结构 斜拉扣挂法 正装迭代法 扣索张力 收敛速率 索力计算 arch bridge concrete-filled steel tubular structure fastening stay method for ward iteration algorithm tension of fastening stay convergence rate calculation of tension of fastening stay
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