A Robust Poincare Maps Method for Damage Detection based on Single Type of Measurement

The classical vibration-based structural health monitoring evaluates damage via the analysis of single type measurement. The relationships between different types of measurements, however, are usually neglected. To address this problem, vibration data is to be analyzed in state space in this paper based on the the Poincare map method. The Poincare map method is an effective approach in damage detection. This method, however, requires the dependent measurements for displacement, velocity and acceleration, respectively. Based on the Fourier transform properties, a robust Poincare map method for damage detection is proposed based on the single type of measurement. Numerical and experimental verifications are employed to verify the effectiveness of the developed method. Compared with the classical numerical differential method, the present method is more accurate and robust to noise.