Fatigue predictions in entire body of metallic structures from a limited number of vibration sensors using Kalman filtering

Palmgren, 1924, Die Lebensdauer von Kugallagern, VDI-Zeitschrift, 68, 339

Miner, 1945, Cumulative damage in fatigue, Applied Mechanics Transactions (ASME), 12, A159, 10.1115/1.4009458

Lutes, 2004, Random Vibrations: Analysis of Structural and Mechanical Systems

Wirsching, 1980, Fatigue under wide band random stress, Journal of Structural Engineering (ASCE), 106, 1593

Lutes, 1984, Stochastic fatigue damage accumulation, Journal of Structural Engineering (ASCE), 110, 2585, 10.1061/(ASCE)0733-9445(1984)110:11(2585)

Lutes, 1990, Improved spectral method for variable amplitude fatigue prediction, Journal of Structural Engineering (ASCE), 116, 1149, 10.1061/(ASCE)0733-9445(1990)116:4(1149)

Rychlik, 1993, On the ‘narrow-band’ approximation for expected fatigue damage, Probabilistic Engineering Mechanics, 8, 1, 10.1016/0266-8920(93)90024-P

Dirlik T Applications of computers to fatigue analysis 1985

Benasciutti, 2006, Comparison of spectral methods for fatigue analysis of broad-band Gaussian random processes, Probabilistic Engineering Mechanics, 21, 287, 10.1016/j.probengmech.2005.10.003

Chaudhury, 1985, Fatigue analysis of offshore platforms subject to sea wave loading, International Journal of Fatigue, 7, 13, 10.1016/0142-1123(85)90003-9

Chow, 1991, An analytical solution for fast fatigue assessment under wide band random loading, International Journal of Fatigue, 13, 395, 10.1016/0142-1123(91)90596-Q

Larsen, 1991, Predicting the fatigue life of offshore structures by the single-moment spectral method, Probabilistic Engineering Mechanics, 6, 96, 10.1016/0266-8920(91)90023-W

Petrucci, 2004, Fatigue life prediction under wide-band random loading, Fatigue and Fracture of Engineering Materials and Structures, 27, 1183, 10.1111/j.1460-2695.2004.00847.x

Tovo, 2002, Cycle distribution and fatigue damage under broad-band random loading, International Journal of Fatigue, 24, 1137, 10.1016/S0142-1123(02)00032-4

Tunna, 1986, Fatigue life prediction for Gaussian random loads at the design stage, Fatigue and Fracture of Engineering Materials and Structures, 9, 169, 10.1111/j.1460-2695.1986.tb00444.x

Zhao, 1992, On the probability density function of raiflow stress range for stationary Gaussian processes, International Journal of Fatigue, 14, 121, 10.1016/0142-1123(92)90088-T

Kalman, 1961, New results in linear filtering and prediction theory, Journal of Basic Engineering Transactions on ASME, Series D, 83, 95, 10.1115/1.3658902

Preumont, 1994, Predicting random high cycle fatigue life with finite elements, ASME Journal of Vibration and Acoustics, 16, 245, 10.1115/1.2930420

You, 1996, A critical review on multiaxial fatigue assessments of metals, International Journal of Fatigue, 18, 235, 10.1016/0142-1123(96)00002-3

Pitoiset, 2000, Spectral methods for multiaxial random fatigue analysis of metallic structures, International Journal of Fatigue, 22, 541, 10.1016/S0142-1123(00)00038-4

Sarkani, 1994, Fatigue of welded joints under narrowband non-Gaussian loadings, Probabilistic Engineering Mechanics, 9, 179, 10.1016/0266-8920(94)90003-5

Wang, 2005, Multi-stage regression fatigue analysis of non-Gaussian stress processes, Journal of Sound and Vibration, 280, 455, 10.1016/j.jsv.2004.02.036

Sobczyk, 1992, Random Fatigue: From Data to Theory

Spencer, 1989, Stochastic approach to modeling fatigue crack growth, AIAA Journal, 27, 1628, 10.2514/3.10311

Casciati, 1992, Fatigue crack size probability distribution via a filter technique, Fatigue and Fracture of Engineering Materials and Structures, 15, 463, 10.1111/j.1460-2695.1992.tb01287.x

Sobczyk, 2010, Fatigue reliability of multidimensional vibratory degrading systems under random loading, ASCE Journal of Engineering Mechanics, 136, 179, 10.1061/(ASCE)EM.1943-7889.0000052

Bishop, 1990, A theoretical solution for the estimation of the rainflow ranges from power spectral density data, Fatigue and Fracture of Engineering Materials and Structures, 13, 311, 10.1111/j.1460-2695.1990.tb00604.x

Benasciutti, 2005, Spectral methods for lifetime prediction under wide-band stationary random processes, International Journal of Fatigue, 27, 867, 10.1016/j.ijfatigue.2004.10.007

Franklin, 1990, Digital Control of Dynamic Systems

Stengel, 1986, Stochastic Optimal Control: Theory and Applications

Welch, 1967, The use of fast Fourier transform for the estimation of power spectra: a method based on time averaging over short, modified periodograms, IEEE Transactions on Audio Electroacoustics, AU-15, 70, 10.1109/TAU.1967.1161901

Hayes, 1996, Statistical Digital Signal Processing and Modeling

Papadimitriou, 2004, Optimal sensor placement methodology for parametric identification of structural systems, Journal of Sound and Vibration, 278, 923, 10.1016/j.jsv.2003.10.063