Oscillation in coupled resonator systems: Part IV - study on 1:3 internal resonance applicable to sensor devices of high sensitivity

A coupled cantilever system, consisting of a low- frequency and a high-frequency cantilever was reported in DTIP2012 to study the synchronized region. While the doubled frequency response by the super-harmonic oscillation and optimization of polymer-based synchronized structures were demonstrated in DTIP2013 and DTIP 2016. In this paper, we focus on internal resonance in coupled resonator system for the first time. Two cantilevers with a frequency ratio of 1:3 are coupled through an overhang. The low-frequency cantilever used for sensing is driven around its resonant frequency. The third harmonic response is observed in the high-frequency cantilever used for detecting. The proposed oscillation system, not only enables frequency shift multiplication, but also alleviates environmental damping effects on the detecting oscillator. Moreover, some other coupled resonator systems are further designed to demonstrate SNR enhancement. These coupled resonator systems possess the advantage of easy to realize internal resonance and exhibit improved sensitivity for sensor device applications.