2018/05/25 by M. Manav, A. Srikantha Phani, A. S. Phani +5
Engineering · Physics and Astronomy · #Acoustic Wave Resonator Technologies #Advanced MEMS and NEMS Technologies #Applied Physics (physics.app-ph) #FOS: Physical sciences #Mechanical and Optical Resonators #physics.app-ph
paper · pdf · doi:10.48550/arxiv.1805.10380
arxiv created 2018/05/25 · openalex publication_date 2018/05/25 · arxiv updated 2018/05/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Localization of normal modes is used in recent microelectromechanical systems (MEMS) technologies with orders of magnitude improvements in sensitivity. A pair of eigenvalues veer, or avoid crossing each other, as a single parameter of a vibrating system is varied. While it is well-known that the sensitivity (s) of modal amplitude ratio varies with strength of coupling (κ) as s ∝κ-1 in the case of two identical coupled oscillators, recently, we showed that asymmetry α will also influence sensitivity according to s ∝ (ακ)-1. Here, we show that further enhancements in sensitivity is possible in higher degrees of freedom (n) systems using energy analysis. In the case of n-2 uniformly coupled oscillators embedded between two oscillators, we show that s ∝ α-1κ1-n, if the blocked resonance spectra of the embedded oscillators and the end oscillators are well-separated. We also show that asymmetric coupled oscillators also enhance linear range in addition to sensitivity when compared to their symmetric counterparts. We do not use a perturbation approach in our energy analysis; hence the sensitivity and linear range expressions derived have a wider range of accuracy.