Probabilistic Estimation of Fatigue Damage in Structural Elements
Authors: Gusev A.S., Danilenko C.B., Starodubtseva S.A. | Published: 04.03.2016 |
Published in issue: #3(672)/2016 | |
Category: Calculation and Design of Machinery | |
Keywords: statistical mechanics, strength reliability, fatigue, durability, random processes, Gaussian stationary processes, spectral density, three-parameter law, integral function, accumulation of fatigue damage, absolute maximum |
One of the topical problems of modern mechanical engineering is to increase the strength safety of structural elements and machine parts exposed to irregular intense loads. Such loads and therefore, corresponding stresses can be sufficiently described by the theory of probability, mathematical statistics and the theory of random processes. Thus, reliable analytical prediction of strength by the criterion of accumulation of fatigue damage and crack occurrence under random loading is a relevant problem. The authors present an analytical estimation of probability of fatigue damage occurrence in structural elements depending on the action intensity and the time that the system is in operation. Statistical information on the strength of the elements is based on laws of probability distribution for their fatigue limits considering the scale factor, while the information on the loading is based on correlation functions and energy spectra for the stresses obtained by solving corresponding problems of statistical dynamics. To obtain key results, the concept of absolute maximum of random process is used.
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