# Frictional Damping in Biomimetic Scale Beam Oscillations

## TL;DR

This study explores the nonlinear dynamic behavior of biomimetic scale-covered beams, revealing that interfacial friction induces viscous damping and that damping properties can be tailored through scale design.

## Contribution

It provides the first analytical and numerical evidence that biomimetic scale beams exhibit viscous damping due to Coulomb friction, with implications for designing tunable damping materials.

## Key findings

- Biomimetic scale beams show viscous damping behavior.
- Damping anisotropy depends on curvature.
- Dynamic natural frequency does not increase with friction as in static bending.

## Abstract

Stiff scales adorn the exterior surfaces of fishes, snakes, and many reptiles. They provide protection from external piercing attacks and control over global deformation behavior to aid locomotion, slithering, and swimming across a wide range of environmental condition. In this letter, we investigate the dynamic behavior of biomimetic scale substrates for further understanding the origins of the nonlinearity that involve various aspect of scales interaction, sliding kinematics, interfacial friction, and their combination. Particularly, we study the vibrational characteristics through an analytical model and numerical investigations for the case of a simply supported scale covered beam. Our results reveal for the first time that biomimetic scale beams exhibit viscous damping behavior even when only Coulomb friction is postulated for free vibrations. We anticipate and quantify the anisotropy in the damping behavior with respect to curvature. We also find that unlike static pure bending where friction increases bending stiffness, a corresponding increase in natural frequency for the dynamic case does not arise for simply supported beam. Since both scale geometry, distribution and interfacial properties can be easily tailored, our study indicates a biomimetic strategy to design exceptional synthetic materials with tailorable damping behavior.