The Effects of Breathing Behaviour on Crack Growth of a Vibrating Beam
The effects of breathing behaviour on the dynamic response and crack growth are studied through a cracked cantilever beam. The main goal is to reveal the coupling mechanism of dynamic response and crack growth by employing a plain single-degree-of-freedom (SDOF) lumped system with the breathing crac...
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Format: | Article |
Language: | English |
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Wiley
2018-01-01
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Series: | Shock and Vibration |
Online Access: | http://dx.doi.org/10.1155/2018/2579419 |
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author | Wenguang Liu Mark E. Barkey |
author_facet | Wenguang Liu Mark E. Barkey |
author_sort | Wenguang Liu |
collection | DOAJ |
description | The effects of breathing behaviour on the dynamic response and crack growth are studied through a cracked cantilever beam. The main goal is to reveal the coupling mechanism of dynamic response and crack growth by employing a plain single-degree-of-freedom (SDOF) lumped system with the breathing crack stiffness and friction damping. The friction damping loss factor is derived by using Coulomb friction model and energy principle. Natural frequency, dynamic stress, dynamic stress intensity factor (DSIF), and crack growth are analyzed by case studies in the end. Results indicate that not only does the stiffness oscillates during crack growth corresponding to the physically open and closed states of the crack, but also stiffness and friction damping oscillate nonlinearly with crack growth. This behaviour induces not only nonlinear dynamic response but also nonlinear crack growth. It provides an approximate description of the nonlinearities introduced by the presence of a breathing crack. Therefore, it can be employed to improve the prediction precision of the crack identification and crack growth life of a cracked cantilever beam. |
format | Article |
id | doaj-art-8f4f27e6acbc458cb5829a5deb305d3d |
institution | Kabale University |
issn | 1070-9622 1875-9203 |
language | English |
publishDate | 2018-01-01 |
publisher | Wiley |
record_format | Article |
series | Shock and Vibration |
spelling | doaj-art-8f4f27e6acbc458cb5829a5deb305d3d2025-02-03T07:24:04ZengWileyShock and Vibration1070-96221875-92032018-01-01201810.1155/2018/25794192579419The Effects of Breathing Behaviour on Crack Growth of a Vibrating BeamWenguang Liu0Mark E. Barkey1School of Aeronautic Manufacturing Engineering, Nanchang Hangkong University, Nanchang, Jiangxi 330063, ChinaDepartment of Aerospace Engineering and Mechanics, The University of Alabama, Tuscaloosa, AL 35487, USAThe effects of breathing behaviour on the dynamic response and crack growth are studied through a cracked cantilever beam. The main goal is to reveal the coupling mechanism of dynamic response and crack growth by employing a plain single-degree-of-freedom (SDOF) lumped system with the breathing crack stiffness and friction damping. The friction damping loss factor is derived by using Coulomb friction model and energy principle. Natural frequency, dynamic stress, dynamic stress intensity factor (DSIF), and crack growth are analyzed by case studies in the end. Results indicate that not only does the stiffness oscillates during crack growth corresponding to the physically open and closed states of the crack, but also stiffness and friction damping oscillate nonlinearly with crack growth. This behaviour induces not only nonlinear dynamic response but also nonlinear crack growth. It provides an approximate description of the nonlinearities introduced by the presence of a breathing crack. Therefore, it can be employed to improve the prediction precision of the crack identification and crack growth life of a cracked cantilever beam.http://dx.doi.org/10.1155/2018/2579419 |
spellingShingle | Wenguang Liu Mark E. Barkey The Effects of Breathing Behaviour on Crack Growth of a Vibrating Beam Shock and Vibration |
title | The Effects of Breathing Behaviour on Crack Growth of a Vibrating Beam |
title_full | The Effects of Breathing Behaviour on Crack Growth of a Vibrating Beam |
title_fullStr | The Effects of Breathing Behaviour on Crack Growth of a Vibrating Beam |
title_full_unstemmed | The Effects of Breathing Behaviour on Crack Growth of a Vibrating Beam |
title_short | The Effects of Breathing Behaviour on Crack Growth of a Vibrating Beam |
title_sort | effects of breathing behaviour on crack growth of a vibrating beam |
url | http://dx.doi.org/10.1155/2018/2579419 |
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