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Optimizable Mathematical Model of Curve Steel Parts’ Fatigue

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Advances in Design, Simulation and Manufacturing IV (DSMIE 2021)

Abstract

The article discusses models of fatigue curves that have found application in determining machine parts’ endurance limit. It is shown that the fatigue curve can be represented in the form of a composite one, consisting of two sections: the left one, subject to the power equation, and the right one - the Weibull equation. It was found that the use of such a fatigue curve of a new shape allows one to describe the characteristics of fatigue resistance in the entire region of high-cycle loading of real parts with a high correlation coefficient, especially large parts. Also, determine the physical endurance limit, if any. Varying the position of the first section of the two-link fatigue curve made it possible to establish that the point of intersection of the sections in some cases was “floating”, tied to the maximum stress of the operational stress spectrum. In most other cases, the intercept’s abscissa was fixed, close to or equal to the abscissa of the breakpoint of the traditional fatigue curve. In these cases, the benefits of the new fatigue curve are most apparent. Dependencies between the main parameters of the new shape fatigue curve are obtained. Based on the proposed fatigue curve of a new shape, a method was developed for assessing the endurance limits of parts under irregular loading, depending on various options for the action of the maximum breaking stress.

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Correspondence to Victor Kurgan .

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Bershak, S., Kurgan, V., Sydorenko, I., Lopakov, O., Kosmachevskiy, V. (2021). Optimizable Mathematical Model of Curve Steel Parts’ Fatigue. In: Ivanov, V., Pavlenko, I., Liaposhchenko, O., Machado, J., Edl, M. (eds) Advances in Design, Simulation and Manufacturing IV. DSMIE 2021. Lecture Notes in Mechanical Engineering. Springer, Cham. https://doi.org/10.1007/978-3-030-77823-1_11

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  • DOI: https://doi.org/10.1007/978-3-030-77823-1_11

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-77822-4

  • Online ISBN: 978-3-030-77823-1

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