Random fatigue. A new frequency domain criterion for the damage evaluation of mechanical components

Braccesi, Claudio; Cianetti, Filippo; Tomassini, Lorenzo

doi:10.1016/j.ijfatigue.2014.07.005

Cited by 72 publications

(28 citation statements)

References 22 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…For structures with uncertain parameters, according to the relation between the Palmgren-Miner rule and the marginal probabilistic density of the stress amplitude, the expected fatigue damage rate E(D) of deterministic structural systems, neglecting the effect of any mean stress, can be expressed as [14,17]:…”

Section: Spectral Methods Of Fatigue Damage Evaluationmentioning

confidence: 99%

Spectral Method for Fatigue Damage Assessment of Structures with Uncertain Parameters

Zhu

Tian

2017

Period. Polytech. Civil Eng.

View full text Add to dashboard Cite

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

show abstract

Section: Spectral Methods Of Fatigue Damage Evaluationmentioning

confidence: 99%

Spectral Method for Fatigue Damage Assessment of Structures with Uncertain Parameters

Zhu

Tian

2017

Period. Polytech. Civil Eng.

View full text Add to dashboard Cite

show abstract

“…Different approximated expressions for calculating fatigue damage rate of broad‐band processes have been proposed by Wirsching and Light, Dirlik, Zhao and Baker and Braccesi et al (see the review article in the paper of Niesłony and coworkers).…”

Section: Useful Conceptsmentioning

confidence: 99%

A review of multiaxial fatigue criteria for random variable amplitude loads

Carpinteri

Spagnoli

2017

Fatigue Fract Eng Mat Struct

112

View full text Add to dashboard Cite

Nowadays, the estimation of fatigue life under multiaxial random loading is still an extremely complex task. In this paper, a comprehensive review of the multiaxial random fatigue criteria available in the literature is presented. Such a review is mainly devoted to stress‐based criteria for the evaluation of fatigue life in high‐cycle regime. Time and frequency domain approaches are examined. The focus of this paper is related to uniform stress/strain distribution, but also the effect of stress/strain gradient is tangentially addressed. More than 200 references are cited.

show abstract

“…Instead of counting the rainflow cycles and calculating the RFCAD in a statistical way, the frequency‐domain method calculates the RFCAD directly from the PSD of the random process using simple analytical formulas. Various frequency‐domain methods have been developed for fatigue analysis of stationary Gaussian processes and non‐Gaussian processes . Recently, the Mittag‐Leffler distribution is derived as a direct statistical way to describe a non‐Gaussian random variable, eg, fatigue damage, to predict fatigue life under such non‐Gaussian distributions .…”

Section: Fatigue Analysis Of Stationary Processesmentioning

confidence: 99%

“…As an effective and simplified alternative, the frequency‐domain method has received widespread attention, as this method regards the time history as a physical realization of some ergodic random process, and the cycle distribution is calculated directly from the power spectral density (PSD) of the random process using simple analytical formulas. According to the different types of random processes, there are frequency‐domain methods for narrow‐band (NB) processes, wide‐band (WB) Gaussian processes, and wide‐band non‐Gaussian processes …”

Section: Introductionmentioning

confidence: 99%

An empirical mode decomposition‐based frequency‐domain approach for the fatigue analysis of nonstationary processes

Niu

Yang

2018

Fatigue Fract Eng Mat Struct

View full text Add to dashboard Cite

Mechanical structures in service are often subjected to irregular loads, which are typically idealized as stationary random processes. However, the service loads in real applications are often nonstationary ones, in which case conventional frequency‐domain methods are no longer applicable. Here, a novel frequency‐domain approach based on empirical mode decomposition is developed for the fatigue analysis of nonstationary processes. A simplified approach is introduced to calculate the rainflow cycle distributions of non‐Gaussian intrinsic mode functions. Two typical nonstationary processes in engineering practice are simulated numerically to validate the proposed method. The proposed method is applied to fatigue life estimation of a dynamical structure under nonstationary excitations. Reliable life estimations are obtained within much less computation time than the time‐domain method. The results verify the applicability and effectiveness of the proposed method for the fatigue analysis of nonstationary processes.

show abstract

Random fatigue. A new frequency domain criterion for the damage evaluation of mechanical components

Cited by 72 publications

References 22 publications

Spectral Method for Fatigue Damage Assessment of Structures with Uncertain Parameters

Spectral Method for Fatigue Damage Assessment of Structures with Uncertain Parameters

A review of multiaxial fatigue criteria for random variable amplitude loads

An empirical mode decomposition‐based frequency‐domain approach for the fatigue analysis of nonstationary processes

Contact Info

Product

Resources

About