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Modelling of vibration of beam in presence of inclined edge or internal crack for its possible detection based on frequency measurements

DSpace at IIT Bombay

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Title Modelling of vibration of beam in presence of inclined edge or internal crack for its possible detection based on frequency measurements
 
Creator NANDWANA, BP
MAITI, SK
 
Subject natural frequencies
damage detection
cantilever beam
identification
location
vibration modelling of cracked beam
vibration based detection of crack
ndt of crack
inclined edge crack
internal crack
 
Description In this paper modelling of transverse vibration of a slender beam in the presence of an inclined edge, or internal normal, crack using a rotational spring has been done to enable a possible detection of location of the crack based on the measurement of natural frequencies. The characteristic equation obtained from the vibration analysis of the beam is manipulated to give a relationship between the stiffness of the spring and the location of the crack. Plots of spring stiffness vs crack locations are obtained for the three lowest transverse modes using this relationship. Their common intersection point gives the crack location and the corresponding stiffness. Through a large number of numerical examples it has been shown that in the case of an inclined edge crack the modelling through the rotational spring is feasible for at least small crack angles and the error in the prediction of crack location is less than 4.5%. In the case of the internal crack the performance is satisfactory provided the crack size is more than 20% of the section depth. (C) 1997 .
 
Publisher PERGAMON-ELSEVIER SCIENCE LTD
 
Date 2011-08-25T14:20:23Z
2011-12-26T12:57:06Z
2011-12-27T05:46:54Z
2011-08-25T14:20:23Z
2011-12-26T12:57:06Z
2011-12-27T05:46:54Z
1997
 
Type Article
 
Identifier ENGINEERING FRACTURE MECHANICS, 58(3), 193-205
0013-7944
http://dx.doi.org/10.1016/S0013-7944(97)00078-7
http://dspace.library.iitb.ac.in/xmlui/handle/10054/11046
http://hdl.handle.net/10054/11046
 
Language en