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...

Full description

Saved in:
Bibliographic Details
Main Authors: Wenguang Liu, Mark E. Barkey
Format: Article
Language:English
Published: Wiley 2018-01-01
Series:Shock and Vibration
Online Access:http://dx.doi.org/10.1155/2018/2579419
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1832546001519378432
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
work_keys_str_mv AT wenguangliu theeffectsofbreathingbehaviouroncrackgrowthofavibratingbeam
AT markebarkey theeffectsofbreathingbehaviouroncrackgrowthofavibratingbeam
AT wenguangliu effectsofbreathingbehaviouroncrackgrowthofavibratingbeam
AT markebarkey effectsofbreathingbehaviouroncrackgrowthofavibratingbeam