Anomaly in coupled parametric resonance

TL;DR

This paper reports experimental findings of an unusual coupled parametric resonance behavior in MEMS beams, where dominant and recessive modes are excited in driven and non-driven beams, revealing phenomena beyond traditional theories.

Contribution

The study uncovers an unexplored anomaly in coupled auto-parametric resonance, expanding understanding of MEMS dynamics beyond conventional models.

Findings

Observation of dominant and recessive mode excitation in coupled beams

Identification of anomaly outside traditional parametric resonance theory

Experimental validation of unconventional coupled response

Abstract

We present experimental observations of an anomaly in the coupled response of auto-parametrically excited microelectromechanical beams. When one of the two coupled beams is driven at elevated amplitudes, the excitation of dominant and recessive modes is observed in the driven and non-driven beams respectively. This anomalous nature of auto-parametric excitation has been unexplored by both theory and experiments and falls outside the scope of the conventional description of parametric resonance.