An improved generalized flexibility matrix approach for structural damage detection

ABSTRACT

Structural damage detection is a key part of structural health monitoring. The generalized flexibility matrix approach is an effective method for damage detection. Compared with the flexibility matrix approach, it requires less number of natural frequencies and corresponding mode shapes. In this paper, the approach is improved by considering the nonnegativity of the damage extent. The error bound of two solutions calculated by the improved approach using natural frequencies and corresponding mode shapes without and with noises is derived. Numerical examples with different damage scenarios show that compared with the original generalized flexibility matrix approach, our proposed method works better.

KEYWORDS:

• Damage detection
• flexibility matrix
• natural frequency
• mode shape
• linear complementarity

AMS SUBJECT CLASSIFICATIONS:

• 70J10
• 90C33

Additional information

Funding

The work was supported by the Natural Science Foundation of China [grant numbers 11672118 and 11401463].