Wave based method for mid-frequency dynamic analysis of structures with fuzzy uncertainties under the thermal environment

The mid-frequency dynamic analysis of structures typically focuses on those with deterministic parameters. However, in real-world engineering scenarios, structures may encounter various kinds of uncertain factors. This study sets out to explore the dynamic response of structures under the thermal environment when confronted with fuzzy parameters. By combining the level-cut strategy, the interval perturbation method, and the wave based method, a novel uncertainty quantification method, named as Interval Perturbation Wave Based Method (IPWBM), is developed to analyze the mid-frequency dynamic response of structures with fuzzy uncertainties under the thermal environment. Furthermore, the sub-interval technique is employed to improve its accuracy. Numerical simulations of a thermal plate with fuzzy uncertain parameters are presented. The accuracy of the proposed uncertainty quantification method is verified by the Monte Carlo method. The results suggest that the proposed method offers an efficient and accurate solution for the uncertainty quantification of structures with fuzzy parameters under the thermal environment.