Record Details

Triply coupled bending-torsion vibration of Timoshenko and Euler-Bernoulli shaft beams with arbitrarily oriented open crack

DSpace at IIT Bombay

View Archive Info
 
 
Field Value
 
Title Triply coupled bending-torsion vibration of Timoshenko and Euler-Bernoulli shaft beams with arbitrarily oriented open crack
 
Creator NAIK, SS
MAITI, SK
 
Subject response measurements
variational formulation
axial excitation
rotating shaft
identification
rotor
transverse
behavior
model
rod
 
Description The paper presents the full formulation for a crack model for analyzing the triply coupled free vibration of both Timoshenko (short) and Euler-Bernoulli (long) shaft beams based on compliance approach in the presence of it planar open edge crack in an arbitrary angular orientation with a reference direction. The compliance coefficients to account for the local flexibility due to the crack for both the beams have been obtained through the concept of strain energy release rate and crack tip stress field given in terms of the stress intensity factors. The type of disturbance in stress-strain field that a continuous cracked beam theory can accommodate is not within the scope of the model. The compliance matrices for the Timoshenko (short) and Euler-Bernoulli (long) beams, respectively, are of size 6 x 6 and 3 x 3, and they consist of only 9 and 4 nonzero coefficients. The variation of the coefficients with crack orientation is presented. Equations governing the free transverse and torsion vibrations are derived and solved in both the cases. The formulation hits been checked by comparing the theoretical frequencies with the finite element results for a few crack orientations, locations and depths. The agreement is good. It is shown further that, when such cases are analysed for studying the transverse vibration only in one plane by invoking a single rotational spring at the crack location, the approach leads to an erroneous variation of the frequencies with the crack orientations. The data presented here will be useful to solve both forward and inverse problems. (C) 2009
 
Publisher ACADEMIC PRESS LTD- ELSEVIER SCIENCE LTD
 
Date 2011-07-12T20:31:09Z
2011-12-26T12:47:48Z
2011-12-27T05:40:09Z
2011-07-12T20:31:09Z
2011-12-26T12:47:48Z
2011-12-27T05:40:09Z
2009
 
Type Article
 
Identifier JOURNAL OF SOUND AND VIBRATION, 324(3-5), 1067-1085
0022-460X
http://dx.doi.org/10.1016/j.jsv.2009.02.015
http://dspace.library.iitb.ac.in/xmlui/handle/10054/3603
http://hdl.handle.net/10054/3603
 
Language en