Standardized Load Sequence for Offshore Structures–wash 1

Schütz, W.; Klätschke, H.; Hück, Manfred; Sonsino, Cetin Morris

doi:10.1111/j.1460-2695.1990.tb00573.x

Cited by 21 publications

(14 citation statements)

References 2 publications

(2 reference statements)

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“…If several infinitesimal rectangles in expression (28) are identical then Eq. (29) is applied repeatedly.…”

Section: Figmentioning

confidence: 99%

“…By making an ensemble average of rth powers of D • (T, ω) given by Eq. (33) and considering expressions (28) and (25) for the rth moment of D • (T) it is obtained (Appendix B) that:…”

Section: Q D R a N D F A I L U R E P R O B A B I L I T Ymentioning

confidence: 99%

“…9 are standardized ones derived from measurements on real structures. [27][28][29] Theoretical constant amplitude fatigue life spectra ( Fig. 8) are defined by This means that the cycle ratio χ Tu (x) dx/x is constant for all 'loading levels' and in LDR (58), all loading levels have the same damage effect (analogous to (n * i /N * fi ) = const in the deterministic case).…”

Section: Quantitative Comparison Of Qdr and Ldr In Stationary Loadingmentioning

confidence: 99%

“…where # dA1...dA2r is number of members in subset dA1...dA2r . lim Z→∞ # dA1...dA2r /Z can be interpreted as probability that half-cycles of a given realization are situated in all considered infinitesimal rectangles and considering (28), it obviously holds that:…”

Section: A P P E N D I X a E X P E R I M E N Ta L D E Ta I L S F O mentioning

confidence: 99%

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Quadratic damage rule in random loading case

Košút

2004

Fatigue Fract Eng Mat Struct

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A B S T R A C T The simple mathematical structure of the quadratic damage rule (QDR) enables mathematical expression of the failure condition in the case of random loading. Random loading after modified rainflow analysis is considered as a random marked point process. Moments of the damage distribution can be expressed by use of ensemble averages. A condition for validity of the first damage moment solution is formulated. The QDR damage first moment solution involves failure predictions for both stationary and non-stationary loadings. In these cases, final fracture conditions suitable for practical use are derived. QDR predicts fatigue lives that are always shorter than the linear damage rule (LDR) in the case of stationary loading with short interval of statistical dependence of random variables. QDR appears to be a suitable additional engineering tool for random loading fatigue life predictions considering loading sequence and loading level interactions.Keywords cumulative fatigue damage; engineering; fatigue life prediction; quadratic damage rule; random loading. N O M E N C L A T U R E a = point coordinate vector A = integration region in integration subspace a b f = number of loading blocks to fracture b f,er = exact number of repeated loading blocks to fracture b f,mr = number of manifold repeated loading blocks to fracture b f,rs = number of random stationary loading blocks to fracture C • ind , C • dep = sequence independent and sequence dependent members of D • , respectively D = damage D f = damage at fracture, constant D • = relative damage (D • = D/D f ) D • inv = inverse history relative damage D • ⊥ , D • ← , D • → = D • accounting for interrupted half-cycles, D • considering half-cycles/cycles at their beginnings and ends, respectively E = elastic modulus E(X ) = mathematical expectation of random variable X f D = function of damage f V = function of damage controlling quantity H = history damage factor I hc = immediate damage factor of half-cycle L(t), L(t, ω) = random loading L max , L min , L = extreme points and range of loading, respectively m = slope of constant amplitude fatigue life curve n * = number of half-cycles n * b = number of half-cycles in loading block n * c (t, ω) = counting process of N * f (t, ω)

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“…If several infinitesimal rectangles in expression (28) are identical then Eq. (29) is applied repeatedly.…”

Section: Figmentioning

confidence: 99%

“…By making an ensemble average of rth powers of D • (T, ω) given by Eq. (33) and considering expressions (28) and (25) for the rth moment of D • (T) it is obtained (Appendix B) that:…”

Section: Q D R a N D F A I L U R E P R O B A B I L I T Ymentioning

confidence: 99%

Section: Quantitative Comparison Of Qdr and Ldr In Stationary Loadingmentioning

confidence: 99%

Section: A P P E N D I X a E X P E R I M E N Ta L D E Ta I L S F O mentioning

confidence: 99%

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Quadratic damage rule in random loading case

Košút

2004

Fatigue Fract Eng Mat Struct

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“…SLH are currently available for various fields of application such as in the aircraft industry, automotive applications, steel mill drives, as well as for wind turbines and off-shore structures. In particular, the SLH WISPER/WISPERX (Have, 1992) and WashI (Schütz et al, 1989) exist for wind turbines and off-shore structures, respectively (Heuler & Klätschke, 2005 …”

Section: Basic Principlesmentioning

confidence: 99%

Monitoring and Damage Detection in Structural Parts of Wind Turbines

Friedmann¹,

Mayer²,

Koch³

et al. 2011

Fundamental and Advanced Topics in Wind Power

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Standardised load‐time histories – a contribution to durability issues under spectrum loading

Heuler¹,

Bruder

Klätschke

2005

Materialwissenschaft Werkst

Self Cite

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It is well established that the fatigue performance of materials and structures may be very sensitive to the specifics of the loading encountered. Beside constant amplitude testing, therefore, tests with realistic load sequences are often requiered in order to to assess any susceptibility to the specifics of variable amplitude loading and to demonstrate the in-service integrity for given materials and sructures .For these purpose standardised load-times histories (SLH`s) have been developed for 30 years since it has been recognised that the use of SLH`s a series of adventages - both for studies of a more generic nature and practical applications. Starting with Gassner`s block programm test, some features of standardised load-time histories availible at present and their relevance for fatigue behaviour of materials and structures are reviewed

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Standardized Load Sequence for Offshore Structures–wash 1

Cited by 21 publications

References 2 publications

Quadratic damage rule in random loading case

Quadratic damage rule in random loading case

Monitoring and Damage Detection in Structural Parts of Wind Turbines

Standardised load‐time histories – a contribution to durability issues under spectrum loading

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