Reduced Space Optimization-Based Evidence Theory Method for Response Analysis of Space-Coiled Acoustic Metamaterials with Epistemic Uncertainty

Acoustic metamaterials have been widely concerned by researchers because of their excellent sound absorption properties. Traditional uncertainty analysis methods for response acoustic with evidence variables limitations. The excessive time spent on repetitive extreme focal elements severely impedes the practical application theory. To reduce computational costs quantification under theory, a reduced space optimization-based theory method (RSO-ETM) is proposed. In RSO-ETM, simplified surrogate model first constructed modified adaptive arbitrary orthogonal polynomial (MAAOP) expansion method, and then, monotonicity surface examined to space. Subsequently, Newton iteration technique transformation boundary are used obtain points in space, through which over each element can be readily obtained. By using optimization avoided, correspondingly reduced. Two mathematical examples problems employed demonstrate practicality methods.