Adaptive Estimation of FCG Using Nonlinear State-Space Models

Abstract In this paper, an efficient adaptive nonlinear algorithm for estimation and identification, the so-called adaptive Lainiotis filter (ALF), is applied to the problem of fatigue crack growth (FCG) estimation, identification, and prediction of the final crack (failure). A suitable nonlinear state-space FCG model is introduced for both ALF and extended Kalman filter (EKF). Both algorithms are tested in order to compare their efficiency. Through extensive analysis and simulation, it is demonstrated that the ALF has superior performance both in FCG estimation, as well as in predicting the remaining lifetime to failure. Furthermore, it is shown that the ALF is faster and easier to implement in a parallel/distributed processing mode, and much more robust than the classic EKF.

[1]  Alfredo C. Lucia Probabilistic structural reliability of PWR pressure vessels , 1985 .

[2]  N. R. Moore,et al.  A probabilistic fracture mechanics approach for structural reliability assessment of space flight systems , 1992 .

[3]  A time series approach to fatigue crack propagation , 1991 .

[4]  Konstantinos N. Plataniotis,et al.  Optimal seismic deconvolution: distributed algorithms , 1998, IEEE Trans. Geosci. Remote. Sens..

[5]  Df Ostergaard,et al.  Characterization of the Variability in Fatigue Crack Propagation Data , 1983 .

[6]  J. Newman A crack-closure model for predicting fatigue crack growth under aircraft spectrum loading , 1981 .

[7]  Petros G. Voulgaris,et al.  On optimal ℓ∞ to ℓ∞ filtering , 1995, Autom..

[9]  D. Lainiotis,et al.  Partitioning: A unifying framework for adaptive systems, I: Estimation , 1976, Proceedings of the IEEE.

[10]  Asok Ray,et al.  A nonlinear stochastic model of fatigue crack dynamics , 1997 .

[11]  Sokratis K. Katsikas,et al.  Towed array shape estimation using multimodel partitioning filters , 1998 .

[12]  F. Kozin,et al.  A critical analysis of some probabilistic models of fatigue crack growth , 1981 .

[13]  Asok Ray,et al.  State-space modeling of fatigue crack growth in ductile alloys☆ , 2000 .

[14]  D. Lainiotis Optimal adaptive estimation: Structure and parameter adaptation , 1970 .

[15]  Demetrios G. Lainiotis,et al.  On the parallel implementations of the linear Kalman and Lainiotis filters and their efficiency , 1991, Signal Process..

[16]  Demetrios G. Lainiotis,et al.  Partitioned estimation algorithms, I: Nonlinear estimation , 1974, Inf. Sci..

[17]  P. Goel,et al.  The Statistical Nature of Fatigue Crack Propagation , 1979 .

[18]  W. Schütz The prediction of fatigue life in the crack initiation and propagation stages—a state of the art survey , 1979 .

[19]  H. Saunders,et al.  Probabilistic models of cumulative damage , 1985 .

[20]  D. Lainiotis Optimal adaptive estimation: Structure and parameter adaption , 1971 .

[21]  D G Lainiotis,et al.  Joint estimation and identification of lidar log power returns in a switching environment. , 1996, Applied optics.

[22]  Anne S. Kiremidjian,et al.  Time series analysis of fatigue crack growth rate data , 1986 .

[23]  H. O. Fuchs,et al.  Metal fatigue in engineering , 2001 .

[24]  Marcin Kamiński,et al.  On probabilistic fatigue models for composite materials , 2002 .