Non-Linear Probabilistic Modification of Miner’s Rule for Damage Accumulation

Blacha, Łukasz

doi:10.3390/ma14237335

Cited by 7 publications

(5 citation statements)

References 32 publications

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“…As shown in Figure 1, the safety assessment model for the crane metal structure established in this paper is mainly based on the monitoring data results of the stress for dangerous sections, which employs the rainflow counting method to acquire the effective stress-time history. Using the strength verification theory and the linear fatigue cumulative damage theory (i.e., Miner's rule) [6,7], the strength margin and remaining fatigue life of dangerous sections will be acquired to characterize the safety of the crane metal structure.…”

Section: Figure 1 Assessment Model and Basic Processmentioning

confidence: 99%

Safety assessment research of crane metal structure based on stress monitoring data of dangerous sections

Yuan,

Lv,

Kang

et al. 2024

J. Phys.: Conf. Ser.

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A method for assessing the safety of crane metal structures is proposed based on the monitoring data results of stress in dangerous sections. This method utilizes the stress-time history of these sections as input, employing statistical analysis through the rainflow counting method. The strength verification theory and the linear fatigue cumulative damage theory are applied to determine the strength margin and remaining fatigue life of the dangerous sections. Through reasonable assumptions, it has been confirmed that this method effectively evaluates the safety of crane metal structures, including the bridge erection machine. The findings presented in this paper offer valuable insights for the safety assessment of crane metal structures, thereby facilitating their practical application in engineering contexts.

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Section: Figure 1 Assessment Model and Basic Processmentioning

confidence: 99%

Safety assessment research of crane metal structure based on stress monitoring data of dangerous sections

Yuan,

Lv,

Kang

et al. 2024

J. Phys.: Conf. Ser.

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“…A non-linear modification to Miner's rule for damage accumulation was proposed to reduce the scatter between experimental fatigue life and fatigue life predicted using Miner's rule (Blacha, 2021). Si-Jian et al (2018) proposed a non-linear fatigue damage accumulation model which considered the effects of loading history and loading sequence under multi-level stress loading using the S-N field and the Miner's rule.…”

Section: Accumulated Fatigue Damagementioning

confidence: 99%

Section: Fatigue Monitoringmentioning

confidence: 99%

A review on fatigue monitoring of structures

García-Fernández

Aenlle

Álvarez-Vázquez

et al. 2023

IJSI

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PurposeThe purpose of this study is to review the existing fatigue and vibration-based structural health monitoring techniques and highlight the advantages of combining both approaches.Design/methodology/approachFatigue monitoring requires a fatigue model of the material, the stresses at specific points of the structure, a cycle counting technique and a fatigue damage criterion. Firstly, this paper reviews existing structural health monitoring (SHM) techniques, addresses their principal classifications and presents the main characteristics of each technique, with a particular emphasis on modal-based methodologies. Automated modal analysis, damage detection and localisation techniques are also reviewed. Fatigue monitoring is an SHM technique which evaluate the structural fatigue damage in real time. Stress estimation techniques and damage accumulation models based on the S-N field and the Miner rule are also reviewed in this paper.FindingsA vast amount of research has been carried out in the field of SHM. The literature about fatigue calculation, fatigue testing, fatigue modelling and remaining fatigue life is also extensive. However, the number of publications related to monitor the fatigue process is scarce. A methodology to perform real-time structural fatigue monitoring, in both time and frequency domains, is presented.Originality/valueFatigue monitoring can be combined (applied simultaneously) with other vibration-based SHM techniques, which might significantly increase the reliability of the monitoring techniques.

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“…Liang and Chen 37 also used the Monte Carlo method, with Mittag-Leffler distribution assumption, to construct a regularized Miner rule for calculating the reliability of carbon composites. Lately, Blacha 38 proposed a nonlinear probabilistic modification of Miner rule for damage accumulation, and the model can reduce the scatter between experimental and predicted fatigue lives. Yue et al 39 put forward a combined high and low cycle fatigue life prediction approach as well as a dynamic reliability model on the basis of Miner rule to predict the operational reliability of turbine blades.…”

Section: Introductionmentioning

confidence: 99%

“…Liang and Chen 37 also used the Monte Carlo method, with Mittag–Leffler distribution assumption, to construct a regularized Miner rule for calculating the reliability of carbon composites. Lately, Blacha 38 proposed a nonlinear probabilistic modification of Miner rule for damage accumulation, and the model can reduce the scatter between experimental and predicted fatigue lives. Yue et al 39 .…”

Section: Introductionmentioning

confidence: 99%

Probabilistic modeling of double linear damage accumulation and its application in fatigue reliability analysis

Peng,

Shi,

et al. 2024

Quality & Reliability Eng

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In this paper, a probabilistic double linear damage accumulation model is proposed to characterize the uncertainty of damage accumulation using the statistics of material fatigue life. The probabilistic modeling framework is performed under normal distribution assumption of fatigue life. By applying a one‐to‐one probability density function transformation method, the probability distribution of critical damage and cumulative damage can be extracted and derived. The proposed probabilistic damage accumulation model is then used for fatigue reliability analysis by building the reliability formulas with respect to the cumulative damage and the critical damage under both constant and variable amplitude loadings. It treats the mean and variance of cumulative damage as time‐dependent values that dynamically vary with increase in usage life. The reliability can be easily calculated by limited data necessary from fatigue life samples. The applicability of the proposed method is demonstrated using the experimental data of two metallic materials under constant amplitude and two‐block loadings. The results show that the model predictions are in good agreement with the experimental observations under constant amplitude loading and L‐H loading sequence. In addition, the proposed method provides better predictive ability than the Miner rule under constant amplitude loading and H‐L loading sequence. Moreover, the predicted reliability plots can typically present a two‐stage fatigue characteristic during crack initiation and crack propagation periods.

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Non-Linear Probabilistic Modification of Miner’s Rule for Damage Accumulation

Cited by 7 publications

References 32 publications

Safety assessment research of crane metal structure based on stress monitoring data of dangerous sections

Safety assessment research of crane metal structure based on stress monitoring data of dangerous sections

A review on fatigue monitoring of structures

Probabilistic modeling of double linear damage accumulation and its application in fatigue reliability analysis

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