FREE VIBRATION ANALYSIS OF A SIMPLY SUPPORTED BEAM WITH A VERTICAL EMBEDDED CRACK
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...
Main Authors: | , |
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Format: | Article |
Language: | zho |
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Editorial Office of Journal of Mechanical Strength
2016-01-01
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Series: | Jixie qiangdu |
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Online Access: | http://www.jxqd.net.cn/thesisDetails#10.16579/j.issn.1001.9669.2016.04.040 |
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author | SONG XiaoHua LIU Jing |
author_facet | SONG XiaoHua LIU Jing |
author_sort | SONG XiaoHua |
collection | DOAJ |
description | 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. |
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institution | Directory Open Access Journal |
issn | 1001-9669 |
language | zho |
last_indexed | 2025-02-16T23:33:51Z |
publishDate | 2016-01-01 |
publisher | Editorial Office of Journal of Mechanical Strength |
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series | Jixie qiangdu |
spelling | doaj.art-acb250ad4a7a4e09809290930367b0292025-01-15T02:36:14ZzhoEditorial Office of Journal of Mechanical StrengthJixie qiangdu1001-96692016-01-013889289530595895FREE VIBRATION ANALYSIS OF A SIMPLY SUPPORTED BEAM WITH A VERTICAL EMBEDDED CRACKSONG XiaoHuaLIU JingLocal 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.http://www.jxqd.net.cn/thesisDetails#10.16579/j.issn.1001.9669.2016.04.040Vertical embedded crackSimply supported beamFinite element analysisModal analysisCurvature |
spellingShingle | SONG XiaoHua LIU Jing FREE VIBRATION ANALYSIS OF A SIMPLY SUPPORTED BEAM WITH A VERTICAL EMBEDDED CRACK Jixie qiangdu Vertical embedded crack Simply supported beam Finite element analysis Modal analysis Curvature |
title | FREE VIBRATION ANALYSIS OF A SIMPLY SUPPORTED BEAM WITH A VERTICAL EMBEDDED CRACK |
title_full | FREE VIBRATION ANALYSIS OF A SIMPLY SUPPORTED BEAM WITH A VERTICAL EMBEDDED CRACK |
title_fullStr | FREE VIBRATION ANALYSIS OF A SIMPLY SUPPORTED BEAM WITH A VERTICAL EMBEDDED CRACK |
title_full_unstemmed | FREE VIBRATION ANALYSIS OF A SIMPLY SUPPORTED BEAM WITH A VERTICAL EMBEDDED CRACK |
title_short | FREE VIBRATION ANALYSIS OF A SIMPLY SUPPORTED BEAM WITH A VERTICAL EMBEDDED CRACK |
title_sort | free vibration analysis of a simply supported beam with a vertical embedded crack |
topic | Vertical embedded crack Simply supported beam Finite element analysis Modal analysis Curvature |
url | http://www.jxqd.net.cn/thesisDetails#10.16579/j.issn.1001.9669.2016.04.040 |
work_keys_str_mv | AT songxiaohua freevibrationanalysisofasimplysupportedbeamwithaverticalembeddedcrack AT liujing freevibrationanalysisofasimplysupportedbeamwithaverticalembeddedcrack |