Mixed uncertainty analysis for dynamic reliability of mechanical structures considering residual strength

Highlights: • A mixed uncertain model is established based on fuzzy, random and interval parameters. • A dynamic reliability model with mixed uncertain parameters is proposed. • Based on entropy equality information, random and fuzzy variables are transformed. • Probability and interval analysis are adopted to evaluate dynamic reliability index. Aiming at the uncertainty of parameters in structural dynamic reliability analysis model, such as randomness, interval and fuzziness, a dynamic reliability model with mixed uncertain parameters is proposed in this paper. Based on entropy equality information, random and fuzzy variables are transformed. And the different possible uncertainties of parameters are analyzed, four reliability index analysis models are given under different parameters. Probability and interval reliability analysis are adopted to solve the reliability index, and the influence of parameter type on reliability index is discussed. The dynamic reliability index of 45# steel (test specimens) under fatigue load is calculated to verify the feasibility of the proposed method.