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
[1] Hop T. The effect of degree of prestressing and age of concrete beams on frequency and damping of their free vibration[J]. Materials and Structures, 1991,24(3):210-220.
[2] Saiidi M, Douglas B,Feng S. Prestress force effect on vibration frequency of concrete bridges[J].Journal of Structural Engineering,1994,120(7):2233-2241.
[3] 李维奇,张耀庭,李进. 基于损伤机理的预应力混凝土梁振动频率研究[J]. 华中科技大学学报:城市科学版,2009,26(2):90-94.
Li Wei-qi, Zhang Yao-ting, Li Jin. Vibration frequency of pretressed concrete beam based on damage theory[J]. Journal of Huazhong University of Science and Technology(Urban Science Edition), 2009,26(2):90-94.
[4] 刘龄嘉,贺拴海,赵小星. 预应力对混凝土简支梁振动频率影响的试验研究[J]. 铁道建筑,2007(8):10-12.
Liu Ling-jia, He Shuang-hai, Zhao Xiao-xing. Experimental research on effect of prestressed forceon vibration frequency of concrete simple beam[J]. Railway Engineering,2007(8):10-12.
[5] Kim J T, Ryu Y S,Cho H M, et al. Damage identification in beam-type structures:frequency-based method vs mode-shape-based method[J]. Engineering. Structures,2003,25(1):57-67.
[6] 李瑞鸽,张耀庭,邹冰川. 基于正交异性材料的预应力梁频率试验研究[J].工程力学,2008,25(2):116-121.
Li Rui-ge, Zhang Yao-ting, Zou Bing-chuan. Experimental research on frequencies of pre-stressed concrete beam using orthotropic material constitution[J]. Engineering Mechanics,2008,25(2):116-121.
[7] 熊健民,周俊荣,周金枝. 基于ANSYS 预应力简支梁固有频率的研究[J]. 固体力学学报,2008(增刊1):158-161.
Xiong Jian-min, Zhou Jun-rong, Zhou Jin-zhi. Research of pre-stress simple-supported beam's based on ANSYS[J]. Chinese Journal of Solid Mechanics,2008(Sup.1):158-161.
[8] 郑尚敏,马磊,万水. 体外预应力对波形钢腹板箱梁自振频率的影响分析[J]. 东南大学学报:自然科学版,2014,44(1):140-144.
Zheng Shang-min, Ma Lei, Wan Shui. Analysis on effects of externally prestressed tendons on vibration frequency of box girder with corrugated steel webs[J].Journal of Southeast University (Natural Science Edition),2014,44(1):140-144.
[9] 刘寒冰,王龙林,谭国金,等. 预应力对体外预应力简支钢梁自振频率的影响[J]. 吉林大学学报:工学版,2013,43(1):81-85.
Liu Han-bing, Wang Long-lin, Tan Guo-jin, et al. Effect of prestress force on natural frequency of external prestressed simply supported steel beam[J]. Journal of Jilin University Engineering and Technology Edition,2013,43(1):81-85.
[10] Farasat F, Myers M K. Extension of Kirchhoff's formula to radiation from moving surfaces[J]. Journal of Sound and Vibration,1988,123(3):451-461.
[11] Miyamoto A, Tei K, Nakamura H, et al. Behavior of presstressed beam strengthened with external tendons[J]. Journal of Structural Engineering,2000,126(9):1033-1044.
[12] Hamed E, Frostig Y. Natural frequencies of bonded and unbonded prestressed beams prestress force effects[J]. Journal of Sound and Vibration,2006,295(1-2):28-39.
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