悬索桥竖向自由振动的传递矩阵解

钟豪; 向天宇

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

钟豪,
向天宇

西华大学土木建筑与环境学院, 成都 610039

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
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- 被引次数: 0
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

A Transfer Matrix Algorithm for Vertical Free Vibration of Suspension Bridges

School of Civil Engineering, Architecture and Environment, Xihua University, Chengdu 610039, P.R.China

Funds: The National Natural Science Foundation of China(51678030)

摘要

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.
- 悬索桥 /
- 自由振动 /
- 微分方程 /
- 传递矩阵
Abstract: A transfer matrix algorithm was proposed for the solution of vertical free vibration of suspension bridges. First, a solution scheme was presented for the governing differential equation of vertical free vibration of suspension bridges, in which the analytic expression of structural free vibration was deduced directly. On this basis, the transfer matrix of the vertical free vibration was obtained. With this method, the problem of vertical free vibration of both the uniform-cross-section and the nonuniform-cross-section suspension bridges was studied. The research results indicate that the transfer matrix algorithm is efficient for the analysis of the vertical free vibration of suspension bridges, and has specific advantages in dealing with the nonuniform-cross-section problem. The work makes a good reference for the dynamic analysis of suspension bridges in the concept design stage.
- suspension bridge /
- free vibration /
- differential equation /
- transfer matrix

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参考文献(17)

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