Journal ArticleDOI
Rain flow cycle distributions for fatigue life prediction under Gaussian load processes
Georg Lindgren,Igor Rychlik +1 more
TLDR
In this paper, a new and simple definition of the Rain Flow Cycle count method for the analysis of a random load process is presented, combined with the Palmgren-Miner damage rule, and a stochastic model for the fatigue life and fatigue limit variability.Abstract:
We present a new and simple definition of the Rain Flow Cycle count method for the analysis of a random load process. It is combined with the Palmgren-Miner damage rule, and a stochastic model for the fatigue life and fatigue limit variability. Algorithms are presented which make it possible to calculate the RFC-amplitude distribution, based on a Markov Chain approximation of local maxima and minima. The method derived would apply to structures subjected to random fatigue loads such as acoustic noise, random vibration or sea waves, etc.read more
Citations
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Journal ArticleDOI
A new definition of the rainflow cycle counting method
TL;DR: In this article, a new equivalent definition of the rainflow cycle counting method is presented, which expresses the rain flow cycle amplitudes in explicit analytical formulae, and attaches to each maximum of the strain function the amplitude of a corresponding cycle or two half cycles, which are evaluated independently from each other.
Journal ArticleDOI
A theoretical solution for the estimation of “rainflow” ranges from power spectral density data
Neil Bishop,Frank Sherratt +1 more
TL;DR: In this article, a theoretical solution for the estimation of rainflow range density functions using statistics computed directly from power spectral density data is presented, which can be analyzed using Markov process theory.
Journal ArticleDOI
Fatigue life prediction under wide band random loading
TL;DR: In this article, a method for the high-cycle fatigue life prediction of components subjected to gaussian, stationary, wide band random loading is presented, which can be applied to random stress processes having PSD of any shape, and the fatigue life predictions obtained are more accurate than that provided by most of the frequency domain techniques proposed in literature.
ReportDOI
Slepian Models and Regression Approximations in Crossing and Extreme Value Theory
Georg Lindgren,Igor Rychlik +1 more
TL;DR: In this article, the Slepian model and regression method are used to obtain good numerical approximations to various crossing variables, such as distances between level crossings, maximum height of an excursion between level crossing, amplitude and wavelength, etc.
Journal ArticleDOI
Rainflow analysis: Markov method
M. Frendahl,Igor Rychlik +1 more
TL;DR: In this article, the expected damage is computed by approximating the sequence of local extremes by a Markov chain, and the algorithm is implemented as part of a ‘fatigue toolbox.
References
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Journal ArticleDOI
A new definition of the rainflow cycle counting method
TL;DR: In this article, a new equivalent definition of the rainflow cycle counting method is presented, which expresses the rain flow cycle amplitudes in explicit analytical formulae, and attaches to each maximum of the strain function the amplitude of a corresponding cycle or two half cycles, which are evaluated independently from each other.
Journal ArticleDOI
Fatigue Under Wide Band Random Stresses Using the Rain-Flow Method
TL;DR: In this article, the authors developed a fatigue design procedure for structural components, such as offshore platforms, subjected to a stationary, wideband-gaussian stress process, which uses available constant-amplitude material-fatigue data, a modified probability-based Palmgren-Miner rule, and the rain-flow method of counting stess cycles.
Book ChapterDOI
Use and Structure of Slepian Model Processes for Prediction and Detection in Crossing and Extreme Value Theory
TL;DR: A Slepian model is a random function representation of the conditional behaviour of a Gaussian process after events defined by its level or curve crossings that is well suited for probabilistic manipulations, finite approximations, and asymptotic expansions.