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Theoretical scheme for a vibration based detection of a crack in stepped beams

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Title Theoretical scheme for a vibration based detection of a crack in stepped beams
 
Creator NANDWANA, BP
MAITI, SK
 
Description A theoretical scheme with potential for detection of location and size of a crack in slender stepped beams based on measurement of transverse natural frequencies is presented. The crack is modelled by a rotational spring. The characteristic equation obtained with this modelling is manipulated to give a variation of the stiffness with crack location for the three lowest natural frequencies. The three curves intersect at a common point giving the crack location and the spring stiffness. The crack size is then obtained using the standard relationship between the stiffness and the crack size. A numerical study to demonstrate the utility and accuracy is presented considering a two step beam. The accuracy of prediction of location is goad for crack size greater than 10% of section depth for both the cantilever and simply supported beams. The maximum error is about 1.5%. The error in prediction of crack size is also satisfactory.
 
Publisher A A BALKEMA PUBLISHERS
 
Date 2011-10-27T12:09:24Z
2011-12-15T09:12:13Z
2011-10-27T12:09:24Z
2011-12-15T09:12:13Z
1997
 
Type Proceedings Paper
 
Identifier MODERN PRACTICE IN STRESS AND VIBRATION ANALYSIS,135-141
90-5410-896-7
http://dspace.library.iitb.ac.in/xmlui/handle/10054/16293
http://hdl.handle.net/100/2534
 
Source 3rd International Conference on Modern Practice in Stress and Vibration Analysis,DUBLIN, IRELAND,SEP 03-05, 1997
 
Language English