Atzrodt Heiko, Maniam Arun, Droste Marvin, Rieß Sebastian, Hülsebrock Moritz
Fraunhofer Institute for Structural Durability and System Reliability LBF, 64289 Darmstadt, Germany.
Materials (Basel). 2023 Jul 21;16(14):5139. doi: 10.3390/ma16145139.
Vibroacoustic metamaterials (VAMMs) are artificial materials that are specifically designed to control, direct, and manipulate sound waves by creating a frequency gap, known as the stop band, which blocks free wave propagation. In this paper, a new power-based approach that relies on the active structural intensity (STI) for predicting the stop band behavior of finite VAMM structures is presented. The proposed method quantifies the power loss in a locally resonant finite VAMM plate in terms of percentage, such as and , for stop band prediction. This allows for the quantitative analysis of the vibration attenuation capabilities of a VAMM structure. This study is presented in the context of a two-dimensional VAMM plate with 25 resonators mounted in the middle section of the plate. It has been demonstrated that this method can predict the stop band limits of a finite VAMM plate more accurately than using negative effective mass, unit cell dispersion analysis, or the frequency response function methods. The proposed approach is then implemented to establish a framework for investigating the influence of parameter uncertainties on the stop band behavior of the VAMM plate. Based on the method, which aims for significant vibration reduction, stricter tolerances in the mass fabrication process are required to ensure the robustness of VAMM. Conversely, the method suggests that larger fabrication tolerances can be leveraged to achieve a broader stop band range while still meeting the desired performance level, leading to cost savings in manufacturing.
振动声学超材料（VAMMs）是一种人工材料，其被专门设计用于通过创建一个称为阻带的频率间隙来控制、引导和操纵声波，该阻带会阻止自由波传播。本文提出了一种基于功率的新方法，该方法依靠有效结构强度（STI）来预测有限VAMM结构的阻带行为。所提出的方法以百分比的形式量化了局部共振有限VAMM板中的功率损耗，例如 和 ，用于阻带预测。这使得能够对VAMM结构的振动衰减能力进行定量分析。本研究是在一个二维VAMM板的背景下进行的，该板的中间部分安装了25个谐振器。已经证明，与使用负有效质量、单胞色散分析或频率响应函数方法相比，该方法能够更准确地预测有限VAMM板的阻带极限。然后实施所提出的方法，以建立一个框架来研究参数不确定性对VAMM板阻带行为的影响。基于旨在显著降低振动的 方法，在质量制造过程中需要更严格的公差来确保VAMM的稳健性。相反， 方法表明，可以利用更大的制造公差来实现更宽的阻带范围，同时仍满足所需的性能水平，从而在制造过程中节省成本。
