A Multiple Traces Sensing Scheme with a Single Output Channel via a Weakly Coupled Resonator Array

In this paper, a multiple traces sensing scheme with a single output channel via a weakly coupled cantilever array is proposed. An analytical model of the resonator using the Euler-Bernoulli beam theory has been developed and the dynamic behavior has been further explored using the Galerkin method. We have discovered numerically that, in the weakly coupled cantilever array, the Amplitude-frequency (A–f) curve of any cantilever physically reflects the vibration features of other cantilevers. Hence, by measuring the output signal of a single cantilever, multiple traces applied on each cantilever respectively can be identified and detected synchronously. A single output channel via a weakly coupled resonator array is constructed and validated through simulations and experiments. Equivalent experiments have been further conducted for verification. Experimental results indicated that the five analytes applied on each cantilever can be detected synchronously and independently by measuring the frequency shifts of the five resonant peaks of the center cantilever. Multiple traces sensing with a single output channel is thus realized. By enhancing the driving voltage, the mass resolution can also be improved via nonlinear vibration. This work reveals a new coupled vibration phenomenon and provides a new avenue for multiple analytes detection.