Formulation of a Direct Spectral Method for Counting of Cycles for Bi-Modal Stress History

Kozień, Marek S.; Smolarski, Dariusz

doi:10.4028/www.scientific.net/ssp.224.69

Cited by 2 publications

(4 citation statements)

References 5 publications

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“…For non-stationary stress histories, especially in cases with a variable in time amplitudes, the Short-time Fourier transform (STFT) may be applied to identify stress amplitudes in time. In such cases, the first part of fatigue cycle identification (i.e., finding amplitudes and mean values of stress components) can be carried out as presented in previous articles [ 31 , 32 , 33 , 34 ]. Further analysis, especially in regard to estimating equivalent stresses, may be led by the proposed approach.…”

Section: Discussionmentioning

confidence: 99%

“…Originally, the direct spectral method was formulated for completely reversed stress histories of harmonic types, in both primary and secondary cycles [ 31 , 32 , 33 , 34 , 35 ]. For the analyzed case of rolling bearing fatigue, the method’s algorithm was slightly modified due to the fact that the primary cycle was not generally harmonic (i.e., the shape did not have the sine type), and three of the four non-zero stress components had a pulsating type.…”

Section: Methodsmentioning

confidence: 99%

“…The authors formulated the original method for cycle counting of bimodal stress histories of a completely reversed type, based on their spectral characteristics in the case of superposition of the completely reversed stress cycles (the direct spectral method). This original method was formulated for the simple case of uniaxial stress [ 31 , 32 ], and for multiaxial stress [ 33 , 34 ].…”

Section: Introductionmentioning

confidence: 99%

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Using the Effect of Compression Stress in Fatigue Analysis of the Roller Bearing for Bimodal Stress Histories

2021

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A new approach based on the direct spectral method for fatigue analysis of elements subjected to bimodal stress histories, including high compression effects, is proposed. A correction factor, taking into account the influence of the mean compressive stresses, is used in the proposed method. Equivalent amplitude is estimated, based on criteria proposed by Smith, Watson, and Tooper, and by Bergmann and Seeger. The method is presented with example of a thrust roller bearing. Two cases in which the rollers were subjected to constant force 206 N (where constant amplitude stresses occurred in the rollers) and cyclic force (where bimodal stresses with variable amplitudes occurred in the rollers) are studied. It is observed that multiaxial fatigue criteria (Crossland, Papadopoulos) do not include the influence of bimodal stresses and should not be used for such loading conditions. The proposed method includes both kinds of stress waveforms in the fatigue analysis and can be applied for the accurate identification of stress components and the determination of fatigue life. The damage rate calculated by the proposed approach for rollers subjected to a cyclic force (equivalent load equal to 151 N) was 0.86, which is in good agreement with the recommendations provided in the literature. The obtained accuracy of the proposed method is above 95%.

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Section: Discussionmentioning

confidence: 99%

Section: Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Using the Effect of Compression Stress in Fatigue Analysis of the Roller Bearing for Bimodal Stress Histories

2021

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“…In their previous papers, the authors proposed the original method of stress cycle counting dedicated for the bi-modal type spectrum of stress -this is known as the spectral direct method [7][8][9][10]. T.-T. Fu & D. Cebon proposed in their article [5] a method of fatigue analysis that was also dedicated to the bi-modal process.…”

Section: Introductionmentioning

confidence: 99%

Comparison of results of stress cycle counting by the direct spectral method and the Fu-Cebon method for bi-modal type stress processes

Kozień

Smolarski

2016

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Abstractis article compares the results of a high cycle fatigue analysis obtained through the application of the two methods dedicated to analysis of response of the structure of the bi-modal type -the direct spectral method and the Fu-Cebon one. the compared parameter is the lifetime for an assumed material S-N curve and stress spectrum de ned in an article by Fu & Cebon.Keywords: fatigue analysis, stress cycle counting, spectral method, bi-modal process Streszczenie W artykule dokonano porównania rezultatów wysokocyklowych analiz zmęczeniowych wykonanych przy zastosowaniu dwu metod dedykowanych dla przypadków odpowiedzi struktury o charakterze dwumodalnym: metody spektralnej bezpośredniej i metody Fu-Cebona. Porównywaną wielkością był czas życia konstrukcji przy założonej postaci krzywej S-N materiału i zmienności naprężeń o charakterystyce wykorzystywanej w artykule Fu i Cebona.Słowa kluczowe: analiza zmęczeniowa, zliczanie cykli naprężeń, metoda spektralna, przebiegi dwumodalne

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Formulation of a Direct Spectral Method for Counting of Cycles for Bi-Modal Stress History

Cited by 2 publications

References 5 publications

Using the Effect of Compression Stress in Fatigue Analysis of the Roller Bearing for Bimodal Stress Histories

Using the Effect of Compression Stress in Fatigue Analysis of the Roller Bearing for Bimodal Stress Histories

Comparison of results of stress cycle counting by the direct spectral method and the Fu-Cebon method for bi-modal type stress processes

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