This work proposes a novel two-dimensional (2D) graded core with anti-tetrachiral cells and evaluates the numerical vibroacoustic response of sandwich panels with these particular cores. First, a homogenization scheme is utilized to model the sandwich structure, followed by a modal analysis of the homogenized model in the frequency range of 0–200 Hz. The results have been compared with those obtained from an exact and full-scale finite element model of the sandwich structure. A general good agreement has been observed for the first six natural frequencies. Next, the radiated sound power level in the frequency band of 0–200 Hz is calculated and minimized for different geometry parameters of the sandwich structure. A hybrid design optimization approach using method of moving asymptotes and genetic algorithm is used. The optimized 2D gradient configurations show a significant 78% reduction of the normalized radiated sound power level and a 15% increase of the fundamental frequency, compared to the baseline sandwich panel configurations.

这项工作提出了一种具有反四手性细胞的新型二维 (2D) 分级核心，并评估了具有这些特定核心的夹心板的数值振动声学响应。首先，利用均质化方案对夹心结构进行建模，然后在 0-200 Hz 的频率范围内对均质化模型进行模态分析。结果已与从夹层结构的精确和全尺寸有限元模型中获得的结果进行了比较。对于前六个固有频率，已观察到总体良好的一致性。接下来，针对夹层结构的不同几何参数，计算并最小化 0-200 Hz 频带内的辐射声功率级。使用移动渐近线和遗传算法的混合设计优化方法。