Tacticity-based one-dimensional chiral equilateral lattice for tailored wave propagation and design of elastic wave logic gate

Periodic lattices have unusual physical and mechanical properties that can be used to control elastic wave propagation and design smart wave devices. In this study, a lattice design strategy is proposed that considers chirality and tacticity to realize a low-frequency band gap. The design of elastic wave logic gates is also investigated. In the designed lattices, the tacticity greatly affects the torsional deformation of the middle regular polygon, resulting in significant differences in the dynamic properties of the chiral equilateral lattice. These differences can be used to tune the band gap by choosing appropriate structural parameters. When the chiral equilateral lattices have the same slenderness ratio, as the number of edges increases, band gaps in the same frequency range appear in the syndiotactic lattices. Finally, experiments are conducted to verify the vibration transmission performance. In addition, the design of elastic wave logic gates for the control and isolation of vibrations is analyzed by implementing the tacticity of the chiral equilateral lattices.