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A critical plane criterion for non-stationary random vibration loading applicable in a statistical fatigue assessment

Random vibration fatigue is a complex, interdisciplinary field. As a result, practitioners and researchers often rely on simplifications for fatigue analysis, which may include assuming stationary Gaussian stress states, and applying uniaxial loading and fatigue criteria. However, in practical applications, loads and stress states are commonly multiaxial and show a non-stationary evolution. This has traditionally demanded a classic time-domain approach, which incurs significant computational costs in analyzing entire finite-element models. In response, recent publications by the authors have introduced the fourth-order non-stationarity matrix (NSM) as an effective statistical characterization that addresses non-stationarity in statistical fatigue analysis. The NSM envisions an extended…

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So far, this includes a statistical characterization of multivariate non-stationary processes and its processing through linear systems [1-2], but also a damage-estimator for uniaxial non-stationary stress states [3]. This paper proposes a statistical multiaxial fatigue criterion to identify critical planes and to establish equivalent uniaxial stress NSM derived from multiaxial stress states. This bridges the gap in assessing non-stationary multiaxial stress states statistically. But it also offers a generalized, computationally efficient method for identifying critical planes based on a fourth-order statistical characterization, surpassing criteria based on maximum variance in precision. This comes from the fourth-order's superior representation of realistic S-N curve exponents compared to second-order variance. These attributes are illustrated through a real-world example.

Reference: VAL5-2024-048

Title: A critical plane criterion for non-stationary random vibration loading applicable in a statistical fatigue assessment
Author(s): A. Trapp, K. Schneider, K. Rother, P. Wolfsteiner
DOI: 10.48447/VAL5-2024-048
Event: VAL5 - Fifth International Conference on Material and Component Performance under Variable Amplitude Loading
Year of publication: 2024
Publication type: conference paper (PDF)
Language: English
Keywords: critical plane criterion,non-stationary loading,non-stationarity matrix,multiaxial fatigue,random vibration fatigue

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Author(s): K. F. Walker, J. C. Newman

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Author(s): B. Möller, M. Scurria, T. Korschinsky

Application of Incremental Step Tests for Screening and Deriving Cyclic Properties of Metal Structures Using the Example of Additively Manufactured AlSi10Mg

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Dynamic fatigue analysis of a welded joints under sequential and simultaneous multi-axial random PSD loading

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Author(s): L. Heindel, P. Hantschke, M. Kästner

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Author(s): A. Trapp, P. Wolfsteiner

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Author(s): J. Klemenc, J. Kajbic

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Author(s): P.M. Kyaw, M. Braun

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Author(s): J. Riebe, P. Hantschke, A. Griesing, M. Kästner

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Author(s): D. Benasciutti

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An efficient algorithm for critical plane search in random multiaxial fatigue based on Maximum Variance Method, 3D matrices and Hadamard’s element-wise product.

Publication type: conference paper (PDF)

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English

€25.00

Online only

Author(s): G. Curti, T. Dengler, M. Palmieri, A. Trapp, P. Wolfsteiner, F. Cianetti, K. Schneider

Modal driven load tailoring for efficient vibration fatigue assessment on non-stationary processes: A versatile approach exploiting the Fatigue Damage Spectrum

Publication type: conference paper (PDF)

English

€25.00

Online only