Comparison of spectral methods for fatigue analysis of broad-band Gaussian random processes

Benasciutti, Denis; Tovo, R.

doi:10.1016/j.probengmech.2005.10.003

Cited by 164 publications

(134 citation statements)

References 19 publications

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“…(7) is exact, while in the wide-band case it is largely conservative and needs to be corrected by accounting for the actual PSD bandwidth [5,6]. A very simple approach is to introduce a correction factor ρ≤1 in Eq.…”

Section: Spectral Methods and Fatigue Lifementioning

confidence: 99%

“…In the narrow-band case ρ→1, while in the wide-band case ρ→0 (factor ρ then gives an indirect measure of the spectral width of a PSD). Several methods adopt such a correction factor approach, as the "TB method" [5,6]:…”

Section: Spectral Methods and Fatigue Lifementioning

confidence: 99%

“…where q=q(α 1 ,α 2 ) is a coefficient depending on α 1 ,α 2 (its analytical expression can be found in [5,6]). Other methods also exist (e.g.…”

Section: Spectral Methods and Fatigue Lifementioning

confidence: 99%

“…Other methods also exist (e.g. Dirlik) which replace the single factor ρ with more elaborated expressions [6]. However, to keep things simple and without any loss of generality, it will be assumed that bandwidth effects are summarised by factor ρ and that the time to failure T f for a wide-band uniaxial stress is estimated by Eq.…”

Section: Spectral Methods and Fatigue Lifementioning

confidence: 99%

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A bandwidth correction to the Allegri-Zhang solution for accelerated random vibration testing

2018

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Abstract. In 2008, Allegri and Zhang published a study [Int. J. Fatigue. 2008, 30(6):967-977] in which they provided an exact analytical solution to the inverse scaling law for accelerated vibration tests of linear systems submitted to stationary Gaussian excitations By combining finite element analysis with multiaxial spectral methods defined in the frequency-domain, their solution generalised the simple inverse power law model suggested in some standards. The solution adopted the "equivalent von Mises stress" multiaxial criterion combined with the narrow-band damage expression. This work aims to propose a bandwidth correction to the original Allegri-Zhang solution to account for the actual spectral bandwidth of the local multiaxial stress. The corrected Allegri-Zhang solution is also extended to another multiaxial spectral method, namely the "Projection-by-Projection" criterion. A numerical example is finally discussed, in which the corrected solution is applied to an L-shaped beam submitted to random accelerations.

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Section: Spectral Methods and Fatigue Lifementioning

confidence: 99%

Section: Spectral Methods and Fatigue Lifementioning

confidence: 99%

“…where q=q(α 1 ,α 2 ) is a coefficient depending on α 1 ,α 2 (its analytical expression can be found in [5,6]). Other methods also exist (e.g.…”

Section: Spectral Methods and Fatigue Lifementioning

confidence: 99%

Section: Spectral Methods and Fatigue Lifementioning

confidence: 99%

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A bandwidth correction to the Allegri-Zhang solution for accelerated random vibration testing

2018

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“…In the framework of the interval theory and the TovoBenasciutti method [13,14], the bounds of the interval expected fatigue damage rate E(D I ) of linear structures with uncertainbut-bounded parameters are conveniently evaluated by properly combining the bounds of the interval variables, regardless of the number of uncertain parameters in the uncertain structural system. In terms of computational efficiency, the proposed method requires less computational consumption than the vertex method does and its application makes a lot of sense in case of complex structural systems with many interval input variables.…”

Section: Presented the Improved Interval Analysis Via Extra Unitary Imentioning

confidence: 99%

Spectral Method for Fatigue Damage Assessment of Structures with Uncertain Parameters

Zhu

Tian

2017

Period. Polytech. Civil Eng.

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This study presents a spectral method for fatigue damage evaluation of linear structures with uncertain-but-bounded parameters subjected to the stationary multi-correlated Gaussian IntroductionFatigue damage is one of the major factors in the failures of engineering structure and mechanical equipment. The traditional method on fatigue damage assessment usually can be divided into two groups, namely, time domain approach and spectral approach. For the former, the traditional method on fatigue damage assessment is the so-called nominal-stress approach [1], which uses numerical methods for cycle counting and damage accumulation stepwise. To compute the time histories of the stress or strain of critical points, time domain method is computationally very time-consuming, especially for large structures. For the spectral approach [2], the external loads are modeled as stationary Gaussian processes, and fatigue damage evaluation is derived from the power spectral density (PSD) function of the stress or strain process of critical points in frequency domain.The above two approaches always consider structural parameters like geometry, material properties, constitutive laws and boundary conditions as fixed values. However, it has been recently recognized that the model parameters are poorly known too, giving arise to structures with uncertain parameters. In these cases, the uncertain parameters are described by the following two methods, known as probabilistic and non-probabilistic approaches. For the first group, structural uncertain parameters are modeled as random variables or stochastic field, and structural generic response under external load is given by stochastic finite element method or Monte Carlo simulation method, and then the fatigue damage of the structure will be obtained based on the cumulative damage theory. However, the reliable probabilistic model requires a large amount of accurate sample data, which are sometimes difficult to get particularly in the preliminary design stage. Meanwhile, the characteristics of the structural uncertainty are not random. Therefore, nonprobabilistic model is more suitable than probabilistic model to define the structure with uncertain parameters.In the past decade, the non-probabilistic theory, which has made a considerable progress as a new method to describe the uncertainty, generally comprises convex set theory, fuzzy set theory and interval theory. Ben-Haim [3] first introduced

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Probabilistic Design of Structures Submitted to Fatigue

Sudret¹

2013

Fatigue of Materials and Structures

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Comparison of spectral methods for fatigue analysis of broad-band Gaussian random processes

Cited by 164 publications

References 19 publications

A bandwidth correction to the Allegri-Zhang solution for accelerated random vibration testing

A bandwidth correction to the Allegri-Zhang solution for accelerated random vibration testing

Spectral Method for Fatigue Damage Assessment of Structures with Uncertain Parameters

Probabilistic Design of Structures Submitted to Fatigue

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