PSI - Issue 37

Arvid Trapp et al. / Procedia Structural Integrity 37 (2022) 622–631 Author name / Structural Integrity Procedia 00 (2019) 000 – 000

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Gaussianity does not. Therefore, it is crucial to reflect realistic load conditions not only by the kurtosis, but also in terms of its higher-order spectral decomposition. This path ensures that the non-Gaussianity in form of the kurtosis is not only reproduced in the excitational load but also in the structural responses as it occurs under real conditions. References Brillinger, D.R., Rosenblatt, M., 1967. Asymptotic theory of estimates of k-th order spectra. Spectral Analysis of Time Series. Collis, W.B., 1996. Higher order spectra and their application to nonlinear mechanical systems. PhD Thesis. Cui, S., Liu Bin, 2021. The carrier wave design for the synthesis of non-Gaussian and non-stationary signals using the amplitude modulation method. Journal of Sound and Vibration. Halfpenny, A., Kihm, F., 2010. Rainflow cycle counting and acoustic fatigue analysis techniques for random loading. Recent Advances in Structural Dynamics. Ikelle, L.T., Amundsen, L., 2018. Introduction to petroleum seismology, 2.th ed. Society of Exploration Geophysicists, Tulsa, OK, 655 pp. Kihm, F., Ferguson, N.S., Antoni, J., 2015. Fatigue life from kurtosis controlled excitations. Procedia Engineering (133), 698 – 713. Nikias, C.L., Petropulu, A.P., 1993. Higher-order spectra analysis: A nonlinear signal processing framework. Prentice Hall, Englewood Cliffs, NJ, 537 pp. Palmieri, M., Česnik, M., Slavič, J., Cianetti, F., Boltežar, M., 2017. Non -Gaussianity and non-stationarity in vibration fatigue. International Journal of Fatigue (97), 9 – 19. Peinelt, R.H., 1992. Analyse und Simulation nicht-Gaußscher Prozesse. PhD thesis, Universität Innsbruck, 161 pp. Picinbono, B., 1999. Geometrical concepts in HOS. Proceedings of the IEEE Signal Processing Workshop on Higher-Order Statistics, 320 – 327. Rivola, A., White, P.R., 1999. Use of higher order spectra in condition monitoring: Simulation and experiments. Proceedings of the DETC99. Swami, A., Giannakis, G.B., Zhou, G., 1997. Bibliography on higher-order statistics. Signal Processing 60, 65 – 126. Sweitzer, K., 2006. Random vibration response statistics for fatigue analysis of nonlinear structures. PhD Thesis, Rochester, 223 pp. Trapp, A., Makua, M.J., Wolfsteiner, P., 2019. Fatigue assessment of amplitude-modulated non-stationary random vibration loading. Procedia Structural Integrity 17, 379 – 386. Trapp, A., Wolfsteiner, P., 2019. Characterizing non-Gaussian vibration loading using the trispectrum. Journal of Physics: Conference Series (1264), 119 – 130. Trapp, A., Wolfsteiner, P., 2021a. Estimating higher-order spectra via filtering-averaging. Mechanical Systems and Signal Processing 150. Trapp, A., Wolfsteiner, P., 2021b. Frequency-domain characterization of varying random vibration loading by a non-stationarity matrix. International Journal of Fatigue 146. Trapp, A., Wolfsteiner, P., 2021c. Integrated spectral kurtosis analysis Asia-Pacific Signal and Information Processing Association Annual Summit and Conference, APSIPA ASC 2021 - Proceedings. Winterstein, S.R., 1988. Nonlinear vibrations models for extremes and fatigue. Journal of Engineering Mechanics 114 (10), 1772 – 1790. Wolfsteiner, P., Breuer, W., 2013. Fatigue assessment of vibrating rail vehicle bogie components under non Gaussian random excitations using power spectral densities. Journal of Sound and Vibration (332), 5867 – 5882. Zeng, X., Jiang, Y., Lei, W., Fan, Z., 2021. Research on the influence of non-stationary and non-Gaussian random excitation on structural response kurtosis. Zheng, R., Chen, G., Chen, H., 2021. Stationary non-Gaussian random vibration control: A review. Chinese Journal of Aeronautics 34, 350 – 363.