Closed-form solution based on peak probability density function for statistical fatigue life prediction under Broad-Band random loading. (June 2022)

• Record Type: Journal Article
• Authors: Čakmak, D.; Tomičević, Z.; Wolf, H.; Božić, Ž.; Semenski, D.
• Is Part Of: Engineering failure analysis. Volume 136(2022)
• Publication Date: 2022-06
• Subjects: Spectral fatigue -- Probability density function -- Rice distribution -- HyperGeometric function -- Analytical method; System failures (Engineering) -- Periodicals; Fracture mechanics -- Periodicals; Reliability (Engineering) -- Periodicals; Pannes -- Périodiques; Rupture, Mécanique de la -- Périodiques; Fiabilité -- Périodiques; Fracture mechanics; Reliability (Engineering); System failures (Engineering); Periodicals; Electronic journals; 620.112
• DOI: 10.1016/j.engfailanal.2022.106175
• Languages: English
• ISSNs: 1350-6307

Abstract

Highlights: Analytical method for fast spectral fatigue-life prediction under random loading is proposed. Fatigue prediction is based on the stress power spectral density and the Rice peak distribution. The novel closed-form solution employs special HyperGeometric function. HyperGeometric solution possesses higher accuracy than other methods based on the peak distribution. Straightforward engineering applicability of obtained results is achieved. Abstract: In this study, an analytical method for fast spectral fatigue-life prediction under Broad-Band random loading is proposed. It is based on the power spectral density of stress in the structure and the Rice peak stress distribution of a stationary Gaussian random process. The novel simple closed-form solution employs special HyperGeometric function which analytically describes the transcendent error weighting function between the Gaussian and Rayleigh distributions inherent in the Rice model. HyperGeometric-based solution outperforms other currently existing approximate methods based on the Rice peak distribution, e.g. Chaudhury, Kam, Dover, Chow and Lee, Lü et al. etc. Straightforward computational applicability and fast engineering implementation of obtained general closed-form results is accented throughout the investigation.