Modelling of vibration signals and damage evolution under cyclic fatigue loading
To investigate the fatigue damage evolution under cyclic fatigue loading,based on measured vibration data,a nonlinear ordinary differential equation(ODE)is applied to build a parametric model for periodic vibration signals,and then is applied for fatigue damage detection.First,the polynomial approximation of nonlinear function is employed to yield the least squares estimator of the nonlinear ODE.Second,the spectral analysis method is adopted to eliminate the disturbing noise of vibration data to reduce parameter estimation bias caused by the measurement noise;and then,the nonlinear characteristic parameters of fatigue damage are built by using the identified nonlinear ODE.Finally,the effectiveness of the proposed method is verified through a cyclic fatigue test.
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