中文摘要：

目前对声学超材料的优化设计都是基于确定性的物理模型,忽略了不确定参数对其超常声学性能的影响。针对这一现状,将区间模型引入声学超材料,研究不确定参数对声学超材料声强传递系数和负有效体积模量的影响;接着在此基础上,以声强传递系数为目标函数,以负有效体积模量为约束条件,构造区间模型下声学超材料的可靠性优化模型。数值结果表明,优化后的声学超材料即使受到不确定参数的干扰,仍能保守满足其可靠性约束条件,并改善其声强传递系数和负有效体积模量。

英文摘要：

Up to now, the optimization of the acoustic metamaterial is based on the deterministic physical model without considering the effects of uncertainties on its unusual properties. Aiming at this actuality, the interval model is introduced into the acoustic metamaterial, and the influences of uncertainties on the sound intensity transmission coefficient and the negative effective bulk modulus of the acoustic metamaterial are investigated. Based on it, a reliability-based optimization model of the acoustic metamaterial with interval variables is constructed. In this optimization model, the sound intensity transmission coefficient is considered as the objective function and the negative effective bulk modulus is treated as the reliability constraint. The numerical results show that for the optimized acoustic metamaterial suffering from the effects of uncertain parameters, its reliability constraint can be satisfied, and its sound intensity transmission coefficient and the negative effective bulk modulus can be improved.