Spectral method in multiaxial random fatigue by Adam Nieslony, Ewald Macha

By Adam Nieslony, Ewald Macha

This monograph comprises theoretical foundations of the spectral strategy for fatigue lifestyles selection the place the authors speak about a rule of description of random loading states with the matrix of energy spectral density features of the stress/strain tensor elements. a few selected standards of multiaxial fatigue failure being linear combos of tension or pressure elements at the severe airplane are analyzed.

The formulation proposed during this e-book allows to figure out strength spectral density of the an identical background without delay from the elements of the facility spectral density matrix of the multidimensional stochastic method. It provides the assumptions and the process of decision of uncomplicated relationships of the spectral strategy. The authors figure out equations deciding on the fatigue existence in response to the spectral technique utilizing numerous linear hypotheses of fatigue harm accumulation. The set of rules of fatigue existence includes 5 blocks: 1 – choice of loading, 2 – decision of the serious aircraft place for the assumed multiaxial fatigue failure criterion, three – selection of energy spectral density of the identical pressure or pressure, four – decision of statistical parameters of the identical parameter answerable for fatigue harm, and five – fatigue lifestyles calculation based on an appropriate speculation of wear and tear accumulation.

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54). The determined damage and fundamental statistical parameters for distinguished stationary history groups constitute the foundation for distinguishing groups for fatigue lab testing. For the currently analysed example loading history the method contributes to the reduction of testing duration from 1300 to 20 hours. 56), determination of PSD moments and damage by means of the Dirlik formula for each group, selection of distinctive groups taking damage, mean value and variance of stress. 2 Random Non-Gaussian Loads The literature devoted to random non-Gaussian loads in spectral methods is scarce.

7). It needs to be remarked that coefficient LW takes the value 1 for Gaussian processes (κσ = 3). The final fatigue life formula takes the form A T = M + (2m0 ) m 2 Γ m+2 2 1+ m (m − 1) (κσ − 3) 24 . 65) Lachowicz et al. [39] tested 10HNAP steel under broad-band frequency loading and non-Gaussian distribution. 66) σai < aP M σaf where: D(To ) – damage determined for observation time To , ni – cycle number with amplitude σai , σaf – fatigue limit. Component amplitudes are determined by the rain flow algorithm.

73) in paper [78], the interaction between the components of stress σxx and σxy , and also σyy and σxy is not taken into account, which constitutes a fault of the method. An extension of the above approach is presented by Potoiset et al. [72, 73, 75, 76] in the statement of power spectral density function of the equivalent stress by the application of Matake and Crossland criteria. The criteria are based on concept of a critical plane. Matake makes an assumption that a critical plane is one for which the shear stress amplitude τaη is the largest.

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