FREE VIBRATION ANALYSIS OF A SIMPLY SUPPORTED BEAM WITH A VERTICAL EMBEDDED CRACK

SONG XiaoHua; LIU Jing

doi:10.16579/j.issn.1001.9669.2016.04.040

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FREE VIBRATION ANALYSIS OF A SIMPLY SUPPORTED BEAM WITH A VERTICAL EMBEDDED CRACK

更新时间：2022-09-22

- FREE VIBRATION ANALYSIS OF A SIMPLY SUPPORTED BEAM WITH A VERTICAL EMBEDDED CRACK
- Journal of Mechanical Strength Vol. 38, Issue 4, Pages: 892-895(2016)
- 作者机构：
  
  1. 重庆交通大学机电与汽车工程学院
  2. 重庆大学机械工程学院
- 作者简介：
- 基金信息：
- DOI：10.16579/j.issn.1001.9669.2016.04.040
  CLC：
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SONG XiaoHua, LIU Jing. FREE VIBRATION ANALYSIS OF A SIMPLY SUPPORTED BEAM WITH A VERTICAL EMBEDDED CRACK. [J]. 38(4):892-895(2016)
DOI：

SONG XiaoHua, LIU Jing. FREE VIBRATION ANALYSIS OF A SIMPLY SUPPORTED BEAM WITH A VERTICAL EMBEDDED CRACK. [J]. 38(4):892-895(2016) DOI： 10.16579/j.issn.1001.9669.2016.04.040.

摘要

裂纹将改变梁结构局部刚度,导致其结构模态参数变化,影响结构工作特性。针对这个问题,以简支梁为研究对象,采用有限元分析方法,建立含垂直内部裂纹的简支梁有限元模型,研究垂直内部裂纹的长度和位置对简支梁的固有频率和振型的影响规律。讨论垂直内部裂纹简支梁振动曲率与裂纹长度和位置的关系。结果表明,随着裂纹长度的增加,简支梁的固有频率减小,裂纹简支梁与健康简支梁之间的差异逐渐增加;垂直内部裂纹将导致简支梁在裂纹所在截面附件的局部刚度发生变化,且裂纹的影响区域随着裂纹长度的增加而增加;振型的曲率可以用于识别简支梁垂直内部裂纹位置。

Abstract

Local stiffness and performances of a beam structure will be changed by a crack,which causes changes in mode parameters. Focused on this problem,a simply supported beam is studied based on finite element method. A finite element model of the beam with a vertical embedded crack is presented. Effects of crack length and location on natural frequencies and mode shapes are investigated. Relationships between curvatures of mode shapes and crack length are discussed,as well as those between curvature and crack location. Numerical results show that natural frequencies decrease with crack length,and differences of mode shapes between normal and abnormal beam increase with crack length. Local stiffness of the beam around crack location is changed by the presence of crack,whose area increases with crack length. Curvature of mode shape can be used to detect location of a vertical embedded crack in a simply supported beam.

关键词

垂直裂纹简支梁有限元分析模态分析曲率

Keywords

Vertical embedded crackSimply supported beamFinite element analysisModal analysisCurvature

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