Theory 13/Structural Health Monitoring
Detection Is a Mode-to-Noise Ratio
The claim
The smallest detectable damage is set by the ratio of the mode-shape change produced to the measurement noise, not by sensor density.
01Mechanism
Damage changes stiffness, which changes mode shapes very slightly; detection requires the change to exceed noise regardless of how many sensors record it.
02Predictions
- P1Detection threshold should track the ratio.
- P2Sensor count alone should mispredict.
03Refutation
Detection tracking sensor count would remove the ratio.