| 王邵锐,周志祥,高燕梅,唐辉.悬索桥主缆过三定点的精确线形数值解析计算方法[J].计算力学学报,2015,32(5):627~632 |
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| 悬索桥主缆过三定点的精确线形数值解析计算方法 |
| Analytical calculation method to calculate the precise main cable alignment of suspension bridge |
| 投稿时间：2014-06-22 修订日期：2014-09-26 |
| DOI：10.7511/jslx201505008 |
| 中文关键词: 桥梁工程 悬索桥 E-M计算方法 主缆平衡方程 主缆线形 |
| 英文关键词:bridge engineering suspension bridge E-M method equilibrium equation main cable alignment |
| 基金项目:交通运输部联合科技攻关(2010-353-341-230)资助项目. |
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| 中文摘要: |
| 系统阐述了悬索桥分段悬链线理论及其基本方程,对变化刚度迭代法计算主缆线形进行了深入分析,发现了其不收敛的情况。对此,提出主缆过三定点的精确线形E-M解析计算方法,通过主缆平衡方程分别推导出末点和中间点标高与主缆左端水平和竖向分力H和V的解析关系式,得出综合考虑末点和中间点标高误差影响的H和V的修正迭代式。算例验证与有限元方法吻合较好,在吊索索力极不均匀的情况下,E-M计算方法仍能有效满足主缆线形过三定点的要求,收敛速度快精度高。 |
| 英文摘要: |
| This paper systematically described the segmental catenary theory and the basic equations of suspension bridge.The deformation stiffness iterative method calculating the main cable alignment was analyzed,which has been found that convergence problem may occur;therefore,an E-M method was put forward to calculate the precise main cable alignment of suspension bridge,namely on the basis of the equilibrium equation of main cable to derive the analytical relationship between the elevation of end point,middle point and the horizontal component H and vertical component V of the left end force of main cable,and the modified formulae of H and V considering the elevation error of end point and middle point.An example was introduced,results show that when the cable force is extremely uneven,E-M calculation method still can effectively make the alignment through three fixed points with and fast convergence speed and high precision. |
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