基于加权影响矩阵的提篮拱初张索力确定方法研究
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摘要
大跨提篮拱吊杆初张索力确定过程中,因其空间结构及受力复杂,容易出现顾此失彼的情况。以某450 m特大跨钢箱提篮拱为工程背景,初张索力求解过程中对影响矩阵增加加权系数,通过Matlab求解加权后方程的最小二乘解,经过少量的迭代运算,索力差值即趋于稳定,计算成桥索力与设计成桥索力的相对误差最大为0.28%。加权影响矩阵作为一种加速收敛的方法,吊杆索力收敛速度较为均匀,对类似桥梁成桥索力的确定或索力二次调整提供了一种新思路。
Due to its complicated spatial structure and force, the conventional influence matrix method is restricted to some extent in the process of secondary cable adjustment of the suspender force of long-span basket handle arch, inconsiderateness is apt to occur. By using a 450 m long-span basket handle arch as the engineering background and increasing the weighting coefficient of the influence matrix, this study solved the weighted least-squares solution of equation through Matlab. After a small amount of iterative computation, the cable force difference was stable and the maximum relative error between the calculated cable force and the designed cable force was 0.28%. As a method of accelerating convergence with homogeneous rate of convergence, the weighted influence matrix provides a new way for determining the cable force of similar bridges in the completion stage or the secondary cable adjusting.
Due to its complicated spatial structure and force, the conventional influence matrix method is restricted to some extent in the process of secondary cable adjustment of the suspender force of long-span basket handle arch, inconsiderateness is apt to occur. By using a 450 m long-span basket handle arch as the engineering background and increasing the weighting coefficient of the influence matrix, this study solved the weighted least-squares solution of equation through Matlab. After a small amount of iterative computation, the cable force difference was stable and the maximum relative error between the calculated cable force and the designed cable force was 0.28%. As a method of accelerating convergence with homogeneous rate of convergence, the weighted influence matrix provides a new way for determining the cable force of similar bridges in the completion stage or the secondary cable adjusting.
引文
[1]刘迎春,薛素铎,李雄彦.上承式拉索拱桥成桥索力优化研究[J].北京工业大学学报,2011,37(9):1343-1347.
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[10] SUNG Y C,CHANG D W,TEO E H. Optimum post tensioning cable forces of Mau Lo His cable stayed bridge[J]. Engineering Structures,2006,28(10):1407-1417.
[11]冯翔,赵占锋,赵宜楠,等.基于矩阵加权多模型融合的认知跟踪波形设计[J].哈尔滨工业大学学报,2018,50(5):30-33.
[12]孙永河,李春好,谢晖,等.模糊WINGS视角下的ANP加权矩阵新构造方法[J].计算机工程与应用,2014,50(12):27-31.
[2]祁超,李元松,杨恒,等.大跨径钢箱梁斜拉桥合理成桥索力的优化[J].武汉工程大学学报,2017,39(5):85-87.
[3]徐海燕,杨宝山.钢管混凝土拉索拱桥结构动力分析[J].华东交通大学学报,2011,28(1):34-37.
[4]孙全胜,孟安鑫.基于影响矩阵法的非对称独塔斜拉桥索力优化[J].中外公路,2016,36(3):153-158.
[5]李杰,陈淮,等.钢管混凝土系杆拱桥吊杆力计算及调索方法研究[J].铁道建筑,2014,33(1):7-10.
[6]陈晔,郭圣栋.斜拉桥结构仿真分析[J].华东交通大学学报,2005,22(4):17-21.
[7]颜东煌.斜拉桥合理设计状态确定与施工控制[D].长沙:湖南大学,2001.
[8]杨兴,张敏,周水兴.影响矩阵法在斜拉桥二次调索中的应用[J].重庆交通大学学报(自然科学版),2009,28(3):508-511.
[9]李斐然,石磊,张哲.弯梁斜跨拱桥合理恒载状态研究[J].计算力学学报,2010,27(5):919-924.
[10] SUNG Y C,CHANG D W,TEO E H. Optimum post tensioning cable forces of Mau Lo His cable stayed bridge[J]. Engineering Structures,2006,28(10):1407-1417.
[11]冯翔,赵占锋,赵宜楠,等.基于矩阵加权多模型融合的认知跟踪波形设计[J].哈尔滨工业大学学报,2018,50(5):30-33.
[12]孙永河,李春好,谢晖,等.模糊WINGS视角下的ANP加权矩阵新构造方法[J].计算机工程与应用,2014,50(12):27-31.