PSI - Issue 31

Damjan Čakmak et al. / Procedia Structural Integrity 31 (2021) 98– 104 Damjan Č akmak et al. / Structural Integrity Procedia 00 (2021) 000–000

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4. Conclusions This investigation provides the novel solution of Rice/Lalanne probability density function for broad-band statistical fatigue estimation. The solution is obtained analytically, in explicit closed-form via Gaussian HyperGeometric function. Proposed solution is tested against concurrent spectral theories (Dirlik, Tovo and Benasciutti etc.) and rainflow counting in the time domain. Based on the performed study, the following contributions and conclusions are emphasized: • Major contribution: special HyperGeometric 2 F 1 based solution from Eq. (8) which is considered as an analytical closed-form solution to the Rice/Lalanne probability density integral. • Minor contribution: it is demonstrated that Rice/Lalanne peak approximation probability density function may provide accurate predictions when compared to rainflow counting if additional adequate correction factor is introduced. If no correction factor is employed, overly conservative non-physics results may be obtained. 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