Abstract
The non-probabilistic approach to fatigue life analysis was studied using the convex models—interval, ellipsoidal and multi-convex models. The lower and upper bounds of the fatigue life were obtained by using the second-order Taylor series and Lagrange multiplier method. The solving process for derivatives of the implicit life function was presented. Moreover, a median ellipsoidal model was proposed which can take into account the sample blind zone and almost impossibility of concurrence of some small probability events. The Monte Carlo method for multi-convex model was presented, an important alternative when the analytical method does not work. A project example was given. The feasibility and rationality of the presented approach were verified. It is also revealed that the proposed method is conservative compared to the traditional probabilistic method, but it is a useful complement when it is difficult to obtain the accurate probability densities of parameters.
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Sun, W., Yang, Z. & Li, K. Non-deterministic fatigue life analysis using convex set models. Sci. China Phys. Mech. Astron. 56, 765–774 (2013). https://doi.org/10.1007/s11433-013-5023-7
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DOI: https://doi.org/10.1007/s11433-013-5023-7