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传递矩阵法在钢斜拉桥结构计算中的应用 被引量:5

Structural calculation of steel cable-stayed bridges with transfer matrix method
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摘要 在充分考虑了斜拉索的延伸、塔的弯矩和轴力引起的位移及转角等因素的基础上 ,实现了斜拉桥二维力学模型向弹簧支承连续梁模型的置换 ,并给出了置换梁单元的场矩阵和点矩阵的具体表达式 .结合斜拉桥自身的特点确定了联立方程组所需的若干边界条件和兼容条件 ,从而实现斜拉桥内力和位移的求解 ,为大型桥梁结构初步设计提供了一种简便、快捷的计算方法 . By considering the factors such as the elongation of cables, the displacement and rotation angles caused by tower's moments and axial forces, etc., the planar mechanical model of cable-stayed bridge is transformed into continuous beam, and detailed formulae of field transfer matrix and point matrix of the beam element are derived. According to the characteristics of cable-stayed bridge, the boundary conditional and compatible expressions can be obtained and calculation of cable-stayed bridge is carried out. This practical and convenient method can be applied to the calculation of static response of large-scale bridges in preparatory design.
出处 《东南大学学报(自然科学版)》 EI CAS CSCD 北大核心 2004年第6期838-841,共4页 Journal of Southeast University:Natural Science Edition
基金 国家高技术研究发展计划 (863计划 )资助项目(2 0 0 3AA60 110 0 ) .
关键词 传递矩阵法 钢斜拉桥 置换连续梁 迭代求解 Boundary conditions Iterative methods
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参考文献5

  • 1Metwally H M, Awad T, AL-Chaar N A. Vibration control of bridges deck under vertical earthquake component[A]. In: Proceedings of the American Control Conference[C]. Piscataway: Institute of Electrical and Electronics Engineers Inc, 2000. 3570-3574.
  • 2Chen Xinzhong, Kareem Ahsan. Advanced analysis of coupled buffeting response of bridges: a complex modal decomposition approach[J]. Probabilistic Engineering Mechanics, 2002, 17(2): 201-213.
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