A frequency method for fatigue life estimation under non-Gaussian random loading based on a Gaussian mixture model

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Journal of Vibration and Shock ›› 2022, Vol. 41 ›› Issue (16) : 93-99.

ZHU Shuaikang1，DONG Longlei1，GUAN Wei1，WANG Jun2，LI Binchao2

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Abstract

The random load of many mechanical structures in the working environment has obvious non Gaussian characteristics. According to the Gaussian hypothesis, the fatigue calculation of these structures will bring great error. Aiming at this problem, a frequency domain method for fatigue life estimation under non-Gaussian random loading is established in this paper. The Gaussian mixture model(GMM) was introduced for describing the non-Gaussian load, and the EM algorithm was used to estimate the parameters of the model. Based on the obtained model, the uni-modal and muti-modal non-Gaussian load can be described accurately. Then combined with Tovo-Benasciutti method, a vibration fatigue life estimation method was raised. A bi-modal load example was analyzed to test the accuracy of this method. Taking the rainflow counting method as a reference, the results showed that under bimodal non-Gaussian loads, for a variety of materials, compared with the traditional frequency domain fatigue calculation method, the calculation accuracy is significantly improved, which verifies the accuracy and wide applicability of the method.
Key words: non-Gaussian load; Gaussian mixture model; EM algorithm; frequency domain fatigue life

Key words

non-Gaussian load / Gaussian mixture model / EM algorithm / frequency domain fatigue life

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ZHU Shuaikang1，DONG Longlei1，GUAN Wei1，WANG Jun2，LI Binchao2. A frequency method for fatigue life estimation under non-Gaussian random loading based on a Gaussian mixture model[J]. Journal of Vibration and Shock, 2022, 41(16): 93-99

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