Variance of fatigue damage in narrowband Gaussian random loadings: Exact solution and approximations

Benasciutti, Denis; Marques, Julian Marcell Enzveiler

doi:10.1016/j.ijfatigue.2021.106366

Cited by 3 publications

(2 citation statements)

References 3 publications

(13 reference statements)

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“…The fatigue damage D per unit of time, associated to a random stress state of an element constituting the model, can be computed using the Palmgren-Miner rule as follows [ 49 ]:

where

is the number of maxima per unit of time given by Equation ( 3 ) and

is the cycle amplitude probability density function of the stress cycles. Most of the spectral method are based on the well-known narrow-band approximation; thus, substituting

of Equation ( 14 ) with the Rayleigh probability distribution deriving by Equation ( 4 ), the damage intensity for a narrow band process

can be computed as follows [ 50 , 51 ]:

where

is the Euler gamma function.…”

Section: Theoretical Backgroundmentioning

confidence: 99%

Vibration Fatigue of FDM 3D Printed Structures: The Use of Frequency Domain Approach

et al. 2022

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Additive manufactured structures are replacing the corresponding ones realized with classical manufacturing technique. As for metallic structures, 3D printed components are generally subjected to dynamic loading conditions which can lead to fatigue failure. In this context, it is useful, and sometimes mandatory, to determine the fatigue life of such components through numerical simulation. The methods currently available in literature for the estimation of fatigue life were originally developed for metallic structures and, therefore, it is now necessary to verify their applicability also for components fabricated with different materials. To this end, in the current activity three of the most used spectral methods for the estimation of fatigue life were used to determine the fatigue life of a 3D printed Y-shaped specimen realized in polylactic acid subjected to random loads with the aim of determining their adaptability also for this kind of materials. To certify the accuracy of the numerical prediction, a set of experimental tests were conducted in order to obtain the real fatigue life of the component and to compare the experimental results with those numerically obtained. The obtained outcomes showed there is an excellent match between the numerical and the experimental data, thus certifying the possibility of using the investigated spectral methods to predict the fatigue life of additive manufactured components.

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“…The fatigue damage D per unit of time, associated to a random stress state of an element constituting the model, can be computed using the Palmgren-Miner rule as follows [ 49 ]:

where

is the number of maxima per unit of time given by Equation ( 3 ) and

is the cycle amplitude probability density function of the stress cycles. Most of the spectral method are based on the well-known narrow-band approximation; thus, substituting

of Equation ( 14 ) with the Rayleigh probability distribution deriving by Equation ( 4 ), the damage intensity for a narrow band process

can be computed as follows [ 50 , 51 ]:

where

is the Euler gamma function.…”

Section: Theoretical Backgroundmentioning

confidence: 99%

Vibration Fatigue of FDM 3D Printed Structures: The Use of Frequency Domain Approach

et al. 2022

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“…There are approaches in general fatigue assessment for modeling fatigue damage caused by narrow-band Gaussian loads applied on linear oscillators (Bendat, 1964; Crandall et al, 1962; Miles, 1954). These studies have been improved upon more general cases in recent years (Benasciutti and Marques, 2021; Low, 2012b). The mentioned models for the prediction of damage variance in the case of narrow-band Gaussian loads have good potential to be used in the fatigue assessment of wind turbine components due to the similar load behaviors discussed.…”

Section: Introductionmentioning

confidence: 99%

Effects of finite sampling on fatigue damage estimation of wind turbine components: A statistical study

et al. 2023

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The variability of the wind turbine loads complicates fatigue assessment in the design phase, as performing simulations covering the entire lifetime is computationally expensive. The current work provides important information for assessing the uncertainty in fatigue damage estimation due to finite data. We study the sample size effect on mean, variance, and skewness of damage in each wind bin, identify the important wind bins, and study the uncertainty propagation from each wind bin to the lifetime damage using 3600 aeroelastic simulations and bootstrapping. To achieve less than 1% error in the damage estimation across all load channels in the current case study, at least 100 turbulence seeds are needed. Damage in different wind bins follows a lognormal distribution when using the conventional approach of six seeds. The provided insights and information allow the designer to achieve a specific level of accuracy for a given computational cost using strategic bin sampling.

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Closed-form solution based on peak probability density function for statistical fatigue life prediction under Broad-Band random loading

Čakmak

Tomičević

Wolf

et al. 2022

Engineering Failure Analysis

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Variance of fatigue damage in narrowband Gaussian random loadings: Exact solution and approximations

Cited by 3 publications

References 3 publications

Vibration Fatigue of FDM 3D Printed Structures: The Use of Frequency Domain Approach

Vibration Fatigue of FDM 3D Printed Structures: The Use of Frequency Domain Approach

Effects of finite sampling on fatigue damage estimation of wind turbine components: A statistical study

Closed-form solution based on peak probability density function for statistical fatigue life prediction under Broad-Band random loading

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