Qualitative effect of internal resonance on the dynamics of two-dimensional resonator

Nonlinear modal interactions and associated internal resonance phenomena have recently been used to demonstrate improved oscillator performance and enhanced sensing capabilities. Here, we show tunable modal interaction in a molybdenum disulfide (MoS2) resonator. We achieve the tunability of coupling between these initially uncoupled modes by using electrostatic gate voltages. This tunable coupling enables us to make the modes commensurate and observe energy exchange between the modes. We attribute the strong energy exchange between the vibrational modes to 1:2 internal resonance. This interaction strongly impacts the dynamics of the modal response of such resonators. We observe peak splitting, a signature of energy exchange between the modes even when the modal response is in the linear regime. We model our device to explain the observed effect of excitation, detuning of modal frequencies, and intermodal coupling strength on the resonator dynamics. MoS2 resonators explored in this work are ideal for understanding the rich dynamics offered through the intermodal coupling.

Automated summary

Nonlinear modal interactions and internal resonance phenomena have been widely used to improve oscillator performance and sensing capabilities. This study demonstrates tunable modal interaction in a MoS2 resonator by using electrostatic gate voltages. The tunable coupling allows for commensurate modes and energy exchange between the modes. The observed energy exchange is attributed to 1:2 internal resonance and strongly impacts the resonator dynamics. Modeling the device helps explain the effects of excitation, frequency detuning, and intermodal coupling strength. MoS2 resonators offer valuable insights into the dynamics enabled by intermodal coupling.