Dynamic characterization of a periodic microstructured flexural system with rotational inertia

Area of Science:

• * Physics
• * Mechanical Engineering
• * Materials Science

Background:

• * Wave propagation in structured media is crucial for designing advanced materials and devices.
• * Understanding the influence of dynamic parameters on wave behavior is essential for controlling wave transmission and localization.

Purpose of the Study:

• * To investigate wave propagation in a flexural medium with periodic elements.
• * To analyze the dispersion properties and the impact of dynamic parameters on pass and stop bands.
• * To identify and characterize distinct dynamic regimes within the system.

Main Methods:

• * Theoretical analysis of wave propagation in a system of massless beams with elastically supported elements.
• * Determination of dispersion properties and band structures.
• * Asymptotic analysis in the low-frequency regime.

Main Results:

• * Identified three dynamic regimes: low stiffness/inertia, high stiffness/inertia, and a transition regime.
• * Demonstrated that stiffness and rotational inertia significantly influence the structure of pass and stop bands.
• * Showcased that the system approximates a continuous Rayleigh beam on an elastic foundation at low frequencies.

Conclusions:

• * The dynamic parameters critically govern wave propagation characteristics in this structured medium.
• * The identified regimes provide insights into designing systems with tailored wave filtering properties.
• * The low-frequency approximation offers a simplified model for specific applications.