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From
Validation of Results Obtained from Different Types of Fuzzy Controllers for Diagnosis of Inclined Edge Crack in Cantilever Beam by Vibration Parameters
Ranjan K. Behera, Dayal R. Parhi
Journal of Mechanical Design and Vibration
.
2014
, 2(3), 63-68 doi:10.12691/jmdv-2-3-2
Fig
ure
1.
Schematic diagram of inclined edge crack cantilever beam
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Fig
ure
2.
Representation of inclined crack in cantilever beam
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Fig
ure
3.
Finite element mesh model of the cracked beam
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Fig
ure
4.
Magnified view at the crack zone
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Fig
ure
5.
Schematic Block Diagram of Experimental set-up
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Fig
ure
6.
First mode relative amplitude Vs. Relative location from cantilever end at β = 0.3, α = 0.35 and Ɵ = 35°
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Fig
ure
7.
Magnified view of First mode relative amplitude Vs. Relative location from cantilever end at β = 0.3, α = 0.35 and Ɵ = 35°
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Fig
ure
8.
Second mode relative amplitude Vs. Relative location from cantilever end at β = 0.3, α = 0.35 and Ɵ = 35°
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Fig
ure
9.
Magnified view of Second mode relative amplitude Vs. Relative location from cantilever end at β = 0.3, α = 0.35 and Ɵ = 35°
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Fig
ure
10.
Third mode relative amplitude Vs. Relative location from cantilever end at β = 0.3, α = 0.35 and Ɵ = 35°
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Fig
ure
11.
Magnified view of Third mode relative amplitude Vs. Relative location from cantilever end at β = 0.3, α = 0.35 and Ɵ = 35°
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Fig
ure
12
. Gaussian Fuzzy Controller
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Fig
ure
13.
Gaussian MF for Relative 1
st
, 2
nd
& 3
rd
Mode Natural Frequencies vs. Degree of Membership Respectively
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Fig
ure
14.
Gaussian MF for Relative 1
st
, 2
nd
& 3
rd
Mode Difference vs. Degree of Membership Respectively
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Fig
ure
15.
Gaussian MF for Relative Crack Location, Relative Crack Depth and Crack Angle vs. Degree of Membership Respectively
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