A Single-Input Single-Output Sensing Scheme For Multiple Traces Via High-Order Nonlinear Mode Localization

This paper proposes a single-input single-output (SISO) sensing scheme for multiple traces via high-order nonlinear mode localization in a coupled trio-cantilever array. SISO is realized by electrostatically driving the cantilever No. 1 and piezoelectrically outputting the response of cantilever No. 3. The mass sensitivities are also about 600% amplified by detecting the resonant frequency shifts of 4
^th
- 6
^th
modes instead of the basic modes (1
^st
- 3
^rd
modes). By decoupling the complex relationship between the multiple modes and the three traces, the maximum relative sensing errors for the three traces are reduced to e
1
=11.05%, e
2
=3.69%, e
3
=10.29% respectively. This work not only widens the theoretical content of mode localization but also opens a new avenue for the quantitative detection of multiple traces.