Wormser Maximilian, Wein Fabian, Stingl Michael, Körner Carolin
Joint Institute of Advanced Materials and Processes (ZMP), Friedrich-Alexander-University Erlangen-Nürnberg, 90762 Fürth, Germany.
Department Mathematik, Mathematical Optimization, Friedrich-Alexander-University Erlangen-Nürnberg, 90762 Fürth, Germany.
Materials (Basel). 2017 Sep 22;10(10):1125. doi: 10.3390/ma10101125.
We present a novel approach for gradient based maximization of phononic band gaps. The approach is a geometry projection method combining parametric shape optimization with density based topology optimization. By this approach, we obtain, in a two dimension setting, cellular structures exhibiting relative and normalized band gaps of more than 8 and 1.6, respectively. The controlling parameter is the minimal strut size, which also corresponds with the obtained stiffness of the structure. The resulting design principle is manually interpreted into a three dimensional structure from which cellular metal samples are fabricated by selective electron beam melting. Frequency response diagrams experimentally verify the numerically determined phononic band gaps of the structures. The resulting structures have band gaps down to the audible frequency range, qualifying the structures for an application in noise isolation.
我们提出了一种基于梯度的声子带隙最大化的新方法。该方法是一种将参数化形状优化与基于密度的拓扑优化相结合的几何投影方法。通过这种方法，在二维设置中，我们获得了分别具有超过8和1.6的相对带隙和归一化带隙的蜂窝结构。控制参数是最小支柱尺寸，它也与结构的所得刚度相对应。所得的设计原理被手动解释为三维结构，通过选择性电子束熔化从中制造蜂窝金属样品。频率响应图通过实验验证了结构的数值确定的声子带隙。所得结构的带隙低至可听频率范围，使这些结构有资格用于噪声隔离应用。
