Interval robust optimization of a coupled structural-acoustic system

Based on the interval theory, an interval finite element method for a coupled structural-acoustic system with non-probabilistic uncertain parameters was proposed, and an interval robust optimization model was established considering the uncertainty both in the system and external loads. Firstly, intervals were used to quantitatively describe all the uncertain parameters and in terms of Taylor expansions, the response range of the coupled system could be obtained with the interval finite element method. Subsequently, the ordering relation and possible degree formula of intervals were introduced to establish the converted models of the objective function and constraints, respectively. Thus, the original optimization problem with uncertainty was transformed into a deterministic multi-objective optimization problem. Finally, a numerical example was given to demonstrate the effectiveness of the proposed model and algorithm.