吉林大学学报(工学版) ›› 2016, Vol. 46 ›› Issue (3): 798-803.doi: 10.13229/j.cnki.jdxbgxb201603018

• 论文 • 上一篇    下一篇

偏心直线预应力筋简支梁自振频率计算方法

谭国金1, 刘子煜1, 魏海斌1, 王龙林2   

  1. 1.吉林大学 交通学院,长春 130022;
    2.广西交通科学研究院 广西桥梁监测及加固工程技术研究中心,广西 南宁530007
  • 收稿日期:2015-09-28 出版日期:2016-06-20 发布日期:2016-06-20
  • 通讯作者: 魏海斌(1971-),男,教授,博士生导师.研究方向:道路工程与检测.E-mail:weihb@jlu.edu.cn
  • 作者简介:谭国金(1981),男,副教授,博士.研究方向:桥梁检测与加固.E-mail:tgj@jlu.edu.cn
  • 基金资助:
    国家自然科学基金项目(51478203); 吉林省科技厅项目(20140520135H); 吉林省重大科技攻关专项项目(20140203002sf); 吉林省交通运输厅项目(2012-1-7).

Calculation of natural frequency of simply supported beam bridge reinforced with eccentric prestressed tendons

TAN Guo-jin1, LIU Zi-yu1, WEI Hai-bin1, WANG Long-lin2   

  1. 1.College of Transportation,Jilin University,Changchun 130022,China;
    2.Guangxi Transportation Scientific Research Institute,Guangxi Provincial Bridge Monitoring and Reinforcement Engineering Technology Research Center,Nanning 530007,China
  • Received:2015-09-28 Online:2016-06-20 Published:2016-06-20

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摘要： 为了揭示偏心直线配置预应力筋情况下简支梁自振频率变化的内在机理,首先把预应力简支梁振动体系分解为预应力筋和简支梁梁体两个振动子系统,从结构振动的基本原理出发,分别建立了两个子系统的动力平衡方程;然后对子系统的振动方程进行耦合分析、处理,提出了偏心直线配筋情况下预应力简支梁的自振频率计算方法;最后将该方法与有限元方法的计算结果进行对比分析,验证了该方法的有效性和可靠性。

关键词: 桥梁工程, 预应力, 简支梁, 自振频率

Abstract: In order to reveal the mechanisms of natural vibration frequency of simply supported beam reinforced with eccentric prestressed tendons, a calculation method of the natural frequency is proposed, and the influence of effective prestress on the natural frequency is analyzed. First, the vibration system of the simply supported and prestressed beam is decomposed into two subsystems, the prestressed tendons and the simply supported beam. The dynamic equilibrium equations of the two subsystems are established using the principle of structural vibration. Then, based on the coupling analysis and processing of the vibration equations of the subsystems, a calculation method of the natural frequency of beam is derived. Using this method, the calculated natural vibration frequencies of the simply supported and prestressed beam are in good agreement with that predicted by finite element method.

Key words: bridge engineering, prestressed force, simply supported beam, natural vibration frequency

中图分类号: 

  • U441.3
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