Certain frequency ranges where waves do not propagate, and thus, vibrations are suppressed, are called band gaps. In the present paper, the appearance and the behavior of such areas are investigated on star-shaped auxetic microstructures, which are equipped with shunted piezoelectric elements. The optimal position of the piezoelectric patches is found using genetic algorithms, considering the maximization of the electromechanical coupling coefficient. A genetic algorithm is also used for the calculation of the values of the electrical parameters of the resonant shunt circuit, with objective the maximization of certain band gaps. The results indicate that the proposed technique can be used for the maximization of band gaps at certain frequency ranges, as well as at frequency bands which have not been considered in the optimization problem of the mechanical microstructure.

波不传播从而抑制振动的某些频率范围称为带隙。在本文中，研究了这种区域的外观和行为，它们是在装有并联压电元件的星形膨胀微结构上研究的。考虑到机电耦合系数的最大化，可以使用遗传算法找到压电贴片的最佳位置。遗传算法也被用于计算谐振并联电路的电参数的值，目的是最大化某些带隙。结果表明，所提出的技术可用于在某些频率范围内最大化带隙，