Interfacial waveforms in chiral lattices with gyroscopic spinners.

Area of Science:

• Physics
• Materials Science
• Mechanical Engineering

Background:

• Topologically protected states offer robustness against defects.
• Chirality is crucial for realizing non-trivial topological properties.
• Elastic systems provide a platform for mechanical wave manipulation.

Purpose of the Study:

• To demonstrate a new method for achieving topologically protected states in elastic hexagonal lattices.
• To investigate the role of gyroscopic spinners in inducing chirality and controlling system properties.
• To explore the creation and control of uni-directional interfacial waveforms.

Main Methods:

• Attachment of gyroscopic spinners to an elastic hexagonal truss system.
• Detailed analysis of the dispersive features of the engineered medium.
• Investigation of system behavior with modified lattice structures (heterogeneous triangular lattice).

Main Results:

• Gyroscopic spinners successfully induce chirality and enable topologically protected states.
• Spinner parameters allow tuning of stop-bands and Dirac points.
• Uni-directional interfacial waveforms are created and their direction controlled near topological features.
• The hexagonal lattice is shown as a limit case of a heterogeneous triangular lattice.

Conclusions:

• A novel method for creating topological states in elastic metamaterials is presented.
• Tunable control over wave propagation and topological properties is achieved through gyroscopic spinners.
• This work opens new avenues for designing advanced periodic media with non-trivial topological characteristics.