Enhancing nonlinear damping by parametric-direct internal resonance

TL;DR

This study experimentally demonstrates that parametric-direct internal resonance in nanoresonators can significantly enhance nonlinear damping, confirming theoretical predictions and enabling engineered dissipation in resonators.

Contribution

It provides the first experimental evidence that parametric resonance can enhance nonlinear damping, validating microscopic dissipation theories.

Findings

Nearly two-fold increase in nonlinear damping observed.

Tunable internal resonance over 40-70 MHz range.

Supports the use of modal interactions for engineered dissipation.

Abstract

Mechanical sources of nonlinear damping play a central role in modern physics, from solid-state physics to thermodynamics. The microscopic theory of mechanical dissipation [M. I . Dykman, M. A. Krivoglaz, Physica Status Solidi (b) 68, 111 (1975)] suggests that nonlinear damping of a resonant mode can be strongly enhanced when it is coupled to a vibration mode that is close to twice its resonance frequency. To date, no experimental evidence of this enhancement has been realized. In this letter, we experimentally show that nanoresonators driven into parametric-direct internal resonance provide supporting evidence for the microscopic theory of nonlinear dissipation. By regulating the drive level, we tune the parametric resonance of a graphene nanodrum over a range of 40-70 MHz to reach successive two-to-one internal resonances, leading to a nearly two-fold increase of the nonlinear damping. Our study opens up an exciting route towards utilizing modal interactions and parametric resonance to realize resonators with engineered nonlinear dissipation over wide frequency range.