Analysis of Adaptive Fuzzy Technique for Multiple Crack Diagnosis of Faulty Beam Using Vibration Signatures

Figure 4

(a) Relative amplitude versus relative distance from the fixed end (1st mode of vibration), 𝑎₁/𝑊=0.0833, 𝑎₂/𝑊=0.166, 𝐿₁/𝐿=0.125, 𝐿₂/𝐿=0.4375. (a1) Magnified view of (a) at the vicinity of the crack location 𝐿₁/𝐿=0.125. (a2) Magnified view of (a) at the vicinity of the crack location 𝐿₂/𝐿=0.4375. (b) Relative amplitude versus relative distance from the fixed end (2nd mode of vibration), 𝑎₁/𝑊=0.0833, 𝑎₂/𝑊=0.166, 𝐿₁/𝐿=0.125, 𝐿₂/𝐿=0.4375. (b1) Magnified view of (b) at the vicinity of the crack location 𝐿₁/𝐿=0.125. (b2) Magnified view of (b) at the vicinity of the crack location 𝐿₂/𝐿=0.4375. (c) Relative amplitude versus relative distance from the fixed end (3rd mode of vibration), 𝑎₁/𝑊=0.0833, 𝑎₂/𝑊=0.166, 𝐿₁/𝐿=0.125, 𝐿₂/𝐿=0.4375. (c1) Magnified view of (c) at the vicinity of the crack location 𝐿₁/𝐿=0.125. (c2) Magnified view of (c) at the vicinity of the crack location 𝐿₂/𝐿=0.4375.