[1]尚 鑫,徐 岳,任更锋.受损简支梁固有频率变化规律研究[J].西安建筑科技大学学报:自然科学版,2013,45(05):640-646.[doi:10.15986/j.1006-7930.2013.05.006]
　SHANG Xin,XU Yue,REN Geng-feng.Research on natural frequency characteristics of damaged simply supported beam[J].J.Xi’an Univ. of Arch. & Tech.:Natural Science Edition,2013,45(05):640-646.[doi:10.15986/j.1006-7930.2013.05.006]
点击复制

受损简支梁固有频率变化规律研究()
分享到：

西安建筑科技大学学报:自然科学版[ISSN:1006-7930/CN:61-1295/TU]

卷:
45
期数:
2013年05期
页码:
640-646
栏目:
出版日期:
2013-10-31

文章信息/Info

Title:
Research on natural frequency characteristics of damaged simply supported beam
文章编号:
1006-7930(2013)05-0640-07
作者:
尚 鑫1; 2; 徐 岳1; 任更锋1
(1.长安大学公路大型结构安全教育部工程研究中心,陕西 西安 710064; 2.西安公路研究院,陕西 西安 710065)
Author(s):
SHANG Xin1; 2; XU Yue1; REN Geng-feng1
(1.Research Center of Highway Large Structure Engineering on Safety, Ministry of Education, Changan University, Xian 710064,China; 2.Xian Highway Research Institute, Xian 710065,China)
关键词:
简支梁; 固有频率; 频率变化率; 频率变化率比值
Keywords:
simply supported beam;  natural frequency;  frequency change rate;  the ratio of frequency change rate
分类号:
U 448
DOI:
10.15986/j.1006-7930.2013.05.006
文献标志码:
A
摘要:
以钢筋混凝土梁为研究对象,基于Euler-Bernoulli梁理论和结构动力学理论,通过数值模拟分析,计算得到了不同损伤位置和损伤程度时简支梁单损伤情况下的固有频率.引入损伤因子、频率变化率、频率变化率震荡幅度、频率变化率中值、频率变化率比值等概念,研究了简支梁的固有频率以及频率变化率、频率变化率比值对梁振动响应的变化规律.结果表明,梁的损伤对频率和频率变化率的敏感性与梁的损伤程度和损伤位置相关,而频率变化率比值与梁的损伤位置有关.损伤程度对固有频率的影响大于损伤位置对固有频率的影响.而当损伤位置和损伤程度固定时,梁固有频率的变化率随模态阶数的增加并不是单调变化的.
Abstract:
Taking damaged reinforced concrete beam as the research object, and based on Euler-Bernoulli beam and structure dynamics theory and by means of dynamic finite element analysis, the natural frequencies are obtained through calculations in various kinds of damage states. With the concept of damage factor, frequency change rate, frequency change rate oscillation amplitude, frequency change rate mid-value and the ratio of frequency change rate, the paper researches the natural frequency, frequency change rate and the ratio of frequency change rate characteristics of the simply supported beam. The results show that the sensitivities of the damaged beam about natural frequency and frequency change rate relate to damage degree and damage location, and that the sensitivities of the damaged beam about the ratio of frequency change rate relates to damage location only, and that the effect of damage degree on the natural frequency is greater than that of damage location, and that the frequency change rate of the beam is not a monotonic variation with the increase of modes order

参考文献/References:

[1] 杨雅勋 . 基于动力测试的桥梁结构损伤识别与综合评估理论研究[D]. 西安: 长安大学,2008.
YAN Ya-xun.Bridge structure damageidentification research based on the dynamic testing and the research ofbridgecomprehensiveevaluationtheory[D].Xi′an: Changan University,2008.
[2] 刘文峰, 刘春图 , 应怀樵. 通过频率改变率进行损伤定位的方法研究[J]. 振动与冲击,2004, 23(2):28-30.
LIU Wen-feng, LIU Chun-tu, YING Huai-qiao.Researchon damage orientation bychange ofeigenfrequency[J].Journal of Vibrationand Shock, 2004, 23(2): 28-30.
[3] KAMINSKI P C.Theapproximatelocationofdamagethroughtheanalysisofnaturalfrequencies withartificialneu-ral networks[J].Journal of Process Mechanical Engineering1995,209(2): 117-123.
[4] 杜金龙, 郭少华. 钢筋混凝土损伤梁动力特性 的有限元分析[J]. 石家庄铁道学院学报: 自 然 科 学 版,2007,20(3):18-23.
DuJin-long, GUOShao-hua.Finiteelementanalysisofdynamiccharacteristicsofdamagedreinforcedconcretebeam[J].Journal of Shijiazhuang RailwayInstitute: Natural Science Edition, 2007,20(3):18-23.
[5] 贾 彬, 王汝恒, 郭 文. 基于频率指纹的梁类结构损伤定位方法研究[J]. 西南科技大学学报,2007,22(4):35-39.
JIA Bin, WANG Ru-heng, GUO Wen.Studyondamagelocating methodinbeam-likestructurebyfrequencyiden-tification[J].Journal ofSouthwest Universityof Scienceand Technology, 2007,22(4): 35-39.
[6] 王 哲, 丁 桦. 固有频率法评估损伤的阙值研究[J]. 力学与实践,2009,31(2): 50-54.
WANG Zhe, DING Hua.Estimatingthresholds of damages based on naturalfrequency method[J].MechanicsinEngineering, 2009,31(2): 50-54.
[7] 徐飞鸿, 张佳文. 简支梁损伤识别的特征方程曲线交点法[J]. 长沙理工大学学报: 自然科学版,2009,6(3):11-16.
XU Fei-hong, ZHANGJia-wen.Damageidentificationofsimplesupported beam basedonthecurveintersectionofcharacteristicequation[J].Journal of Changsha University of Science and Technology: Natural Science Edition,2009,6(3): 11-16.
[8] 赵亚平, 王书茂, 焦群 英, 等. 钢 筋 混 凝 土 梁 振 动 特 性 参 数 与 损 伤 状 况 关 系 的 数 值 仿 真 研 究 [J]. 应 用 力 学 学 报,2007,24(1): 141-145.
ZHAO Ya-ping, WANGShu-mao, JIAO Qun-ying, etal.Numericalsimulationtorelationbetweenvibrationchar-acteristicand damage condition of reinforced concrete beam[J].Chinese Journal of Applied Mechanics, 2007,24(1): 141-145.
[9] 施 洲 , 赵人达. 桥梁结构损伤对其固有振动特性的影响[J]. 地震工程与工程震动,2007,27(5):117-123.
SHI Zhou , ZHAO Ren-da.Effects of bridge damage onitsfree-vibrationcharacteristics [J].Journal of EarthquakeEngineeringand Engineering Vibration, 2007,27(5): 117-123.

相似文献/References:

[1]赵鸿铁,张风亮,薛建阳,等.探讨木结构古建筑结构模型固有频率的几种计算方法[J].西安建筑科技大学学报:自然科学版,2012,44(02):159.[doi:10.15986/j.1006-7930.2012.02.002]
　ZHAO Hong-tie,ZHANG Feng-liang,XUE Jian-yang,et al.Discussion on the calculation methods of ancient timber structures nature frequency[J].J.Xi’an Univ. of Arch. & Tech.:Natural Science Edition,2012,44(05):159.[doi:10.15986/j.1006-7930.2012.02.002]
[2]杨文星,史庆轩,张成中.高强箍筋高强混凝土梁抗剪试验研究[J].西安建筑科技大学学报:自然科学版,2012,44(02):198.[doi:10.15986/j.1006-7930.2012.02.009]
　YANG Wen-xing,SHI Qing-xuan,ZHANG Cheng-zhong.Experimental study on shear behavior of reinforced concrete beam with high strength stirrup[J].J.Xi’an Univ. of Arch. & Tech.:Natural Science Edition,2012,44(05):198.[doi:10.15986/j.1006-7930.2012.02.009]
[3]杨志年,毛震,周云龙,等.火灾后铁尾矿砂混凝土梁抗弯性能试验研究[J].西安建筑科技大学学报:自然科学版,2024,56(02):220.[doi:10.15986/j.1006-7930.2024.02.008]
　YANG Zhinian,MAO Zhen,ZHOU Yunlong,et al.Experimental study on flexural performance of iron tailings concrete beams after fire[J].J.Xi’an Univ. of Arch. & Tech.:Natural Science Edition,2024,56(05):220.[doi:10.15986/j.1006-7930.2024.02.008]

备注/Memo

备注/Memo:
收稿日期:2013-04-07 修改稿日期:2013-09-12
基金项目:西部交通建设科技基金资助项目(2005 318 223 16);中央高校基本科研业务费专项资金资助项目(2013G1502015)
作者简介:尚 鑫(1979-),男,山西运城人,高级工程师,博士生,主要从事桥梁健康监测研究.
更新日期/Last Update: 2015-10-05