Approximate analytical method for damage detection in free–free beam by measurement of axial vibrations

Nowadays, sophisticated structures and machinery parts are constructed by using metallic beams. Beams are widely used as structural element in civil, mechanical, naval, and aeronautical engineering. In structures and machinery, one undesirable phenomenon is crack initiation in which the impact can...

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Main Authors:	FB, Sayyad, B., Kumar, Khan, Sher Afghan
Format:	Article
Language:	English
Published:	SAGE Publications 2013
Subjects:	TG Bridge engineering TJ170 Mechanics applied to machinery. Dynamics
Online Access:	http://irep.iium.edu.my/49811/ http://irep.iium.edu.my/49811/ http://irep.iium.edu.my/49811/ http://irep.iium.edu.my/49811/1/FB-sayyed.pdf

id	iium-49811
recordtype	eprints
spelling	iium-498112016-07-18T01:42:43Z http://irep.iium.edu.my/49811/ Approximate analytical method for damage detection in free–free beam by measurement of axial vibrations FB, Sayyad B., Kumar Khan, Sher Afghan TG Bridge engineering TJ170 Mechanics applied to machinery. Dynamics Nowadays, sophisticated structures and machinery parts are constructed by using metallic beams. Beams are widely used as structural element in civil, mechanical, naval, and aeronautical engineering. In structures and machinery, one undesirable phenomenon is crack initiation in which the impact cannot be seen overnight. Cracks develop gradually through time that lead finally to catastrophic failure. Therefore, crack should be monitored regularly with more care. This will lead to more effective preventive measure and ensure continuous operation of the structure and machine. Damage in structure alters its dynamic characteristics. The change is characterized by change in modal parameters, that is, modal frequencies. Thus, vibration technique can be suitably used as a nondestructive test for crack detection of component to be tested. Mostly modal frequencies are used for monitoring the crack because modal frequencies are properties of the whole structure component. In this paper, efforts are made to develop suitable methods that can serve as the basis to detection of crack location and crack size from measured axial vibration data. This method is used to address the inverse problem of assessing the crack location and crack size in various beam structure. The method is based on measurement of axial natural frequencies, which are global parameter and can be easily measured from any point on the structure and also indeed, the advantage in modeling complexity. In theoretical analysis, the relationship between the natural frequencies, crack location, and crack size has been developed. For identification of crack location and crack size, it was shown that data on the variation of the first two natural frequencies is sufficient. The experimental analysis is done to verify the practical applicability of the theoretical method. SAGE Publications 2013-01 Article PeerReviewed application/pdf en http://irep.iium.edu.my/49811/1/FB-sayyed.pdf FB, Sayyad and B., Kumar and Khan, Sher Afghan (2013) Approximate analytical method for damage detection in free–free beam by measurement of axial vibrations. International Journal of Damage Mechanics, 22 (1). pp. 133-142. ISSN 1530-7921 http://ijd.sagepub.com/content/early/2012/03/16/1056789512440897 10.1177/1056789512440897
repository_type	Digital Repository
institution_category	Local University
institution	International Islamic University Malaysia
building	IIUM Repository
collection	Online Access
language	English
topic	TG Bridge engineering TJ170 Mechanics applied to machinery. Dynamics
spellingShingle	TG Bridge engineering TJ170 Mechanics applied to machinery. Dynamics FB, Sayyad B., Kumar Khan, Sher Afghan Approximate analytical method for damage detection in free–free beam by measurement of axial vibrations
description	Nowadays, sophisticated structures and machinery parts are constructed by using metallic beams. Beams are widely used as structural element in civil, mechanical, naval, and aeronautical engineering. In structures and machinery, one undesirable phenomenon is crack initiation in which the impact cannot be seen overnight. Cracks develop gradually through time that lead finally to catastrophic failure. Therefore, crack should be monitored regularly with more care. This will lead to more effective preventive measure and ensure continuous operation of the structure and machine. Damage in structure alters its dynamic characteristics. The change is characterized by change in modal parameters, that is, modal frequencies. Thus, vibration technique can be suitably used as a nondestructive test for crack detection of component to be tested. Mostly modal frequencies are used for monitoring the crack because modal frequencies are properties of the whole structure component. In this paper, efforts are made to develop suitable methods that can serve as the basis to detection of crack location and crack size from measured axial vibration data. This method is used to address the inverse problem of assessing the crack location and crack size in various beam structure. The method is based on measurement of axial natural frequencies, which are global parameter and can be easily measured from any point on the structure and also indeed, the advantage in modeling complexity. In theoretical analysis, the relationship between the natural frequencies, crack location, and crack size has been developed. For identification of crack location and crack size, it was shown that data on the variation of the first two natural frequencies is sufficient. The experimental analysis is done to verify the practical applicability of the theoretical method.
format	Article
author	FB, Sayyad B., Kumar Khan, Sher Afghan
author_facet	FB, Sayyad B., Kumar Khan, Sher Afghan
author_sort	FB, Sayyad
title	Approximate analytical method for damage detection in free–free beam by measurement of axial vibrations
title_short	Approximate analytical method for damage detection in free–free beam by measurement of axial vibrations
title_full	Approximate analytical method for damage detection in free–free beam by measurement of axial vibrations
title_fullStr	Approximate analytical method for damage detection in free–free beam by measurement of axial vibrations
title_full_unstemmed	Approximate analytical method for damage detection in free–free beam by measurement of axial vibrations
title_sort	approximate analytical method for damage detection in free–free beam by measurement of axial vibrations
publisher	SAGE Publications
publishDate	2013
url	http://irep.iium.edu.my/49811/ http://irep.iium.edu.my/49811/ http://irep.iium.edu.my/49811/ http://irep.iium.edu.my/49811/1/FB-sayyed.pdf
first_indexed	2023-09-18T21:10:22Z
last_indexed	2023-09-18T21:10:22Z
_version_	1777411211766267904

Approximate analytical method for damage detection in free–free beam by measurement of axial vibrations

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