Analysis results of damage detection with methods based on natural vibration

  Mode Shape Curvature (MSC)

• Bending stiffness at the location of the damage is reduced
• Magnitude of the mode curvatures increase
• Highest in the region of the damage and negligibly small outside this region
• Help to identify damage location in structures
• Difference in absolute curvatures of the healthy and damaged structures, for each mode is MSC

(5.1)

Where and stands for mode shape second derivative of undamaged and damaged state.
Applicable to isotropic beams, laminated composite beams, or the wooden board.

Figure 15.1: MSC—without (a ) and with(b) proposed signal processing (damage size—10 % of the beam height located at 0.3 x/L )