Resonant frequency and damping of a coupled resonant system measured by apparent dissipation factor frequency spectra

This paper proposes a novel scheme to study the resonance of a vibration mode of a complex system by investigating the apparent dissipation factor frequency spectrum (ADFFS) of another coupled vibration mode. We demonstrate that the resonant absorption peak in ADFFS of one vibration mode is proportional to the displacement amplitude square of another coupled vibration mode from both energy dissipation and dynamics. Two coupled micro-cantilevers are experimentally shown that the ADFFS of one micro-cantilever could be applied to obtain the resonant frequency and the damping of the other coupled micro-cantilever. (C) 2013 AIP Publishing LLC.