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悬索桥竖向自由振动的传递矩阵解

钟豪 向天宇

钟豪, 向天宇. 悬索桥竖向自由振动的传递矩阵解[J]. 应用数学和力学, 2019, 40(9): 991-999. doi: 10.21656/1000-0887.390221
引用本文: 钟豪, 向天宇. 悬索桥竖向自由振动的传递矩阵解[J]. 应用数学和力学, 2019, 40(9): 991-999. doi: 10.21656/1000-0887.390221
ZHONG Hao, XIANG Tianyu. A Transfer Matrix Algorithm for Vertical Free Vibration of Suspension Bridges[J]. Applied Mathematics and Mechanics, 2019, 40(9): 991-999. doi: 10.21656/1000-0887.390221
Citation: ZHONG Hao, XIANG Tianyu. A Transfer Matrix Algorithm for Vertical Free Vibration of Suspension Bridges[J]. Applied Mathematics and Mechanics, 2019, 40(9): 991-999. doi: 10.21656/1000-0887.390221

悬索桥竖向自由振动的传递矩阵解

doi: 10.21656/1000-0887.390221
基金项目: 国家自然科学基金(51678030);贵州省科技支撑计划(黔科合支撑[2016]2047)
详细信息
    作者简介:

    钟豪(1992—),男,硕士生(E-mail: 584359244@qq.com);向天宇(1972—),男,教授,博士(通讯作者. E-mail: tyxiang.xhua@163.com).

  • 中图分类号: U448.25

A Transfer Matrix Algorithm for Vertical Free Vibration of Suspension Bridges

Funds: The National Natural Science Foundation of China(51678030)
  • 摘要: 该文将传递矩阵方法引入悬索桥竖向自由振动求解.首先,提出了悬索桥竖向自由振动微分方程的求解方法,由此求解方法可直接得到结构自由振动解析式.在此基础上,得出了悬索桥竖向自由振动分析的传递矩阵.应用此方法,该文研究了等截面悬索桥及变截面悬索桥竖向自由振动问题.研究结果表明,传递矩阵法能高效地进行悬索桥竖向自由振动分析,并对变截面问题的处理有独特的优势.研究工作对悬索桥在方案设计阶段的动力学分析有一定的参考价值和借鉴意义.
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出版历程
  • 收稿日期:  2018-08-22
  • 修回日期:  2019-01-15
  • 刊出日期:  2019-09-01

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