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Fatigue failure analysis of non-stationary gaussian stress process: Random algebraic polynomials
Journal article   Peer reviewed

Fatigue failure analysis of non-stationary gaussian stress process: Random algebraic polynomials

Soudabeh Shemehsavar and S Rezakhah
Neural, Parallel, and Scientific Computations, Vol.21(2), pp.129-140
2013
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https://acadsol.eu/npsc/homeView
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Abstract

Fatigue is considered as a primary model of failure for metallic structures or mechanical devices subjected to oscillatory stress processes. In this paper we study fatigue failure and consider certain random polynomial as the underlying stress process. Let Q n (t) = n k=0 A i t i be a random algebraic polynomial in which the coefficients A 0 , A 1 , A 2 ,. .. , A n form a sequence of i.i.d random variables with standard normal distribution. We obtain the distribution of peaks's magnitude of Q n (t). We also evaluate the behavior of the distribution, expectation and variance of the peaks magnitude. Finally we provide a method for evaluation of time to failure and the number of cycles to failure for such a situation.

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