Summary
One of the manifestations of parametric excitation in dynamical systems is the normal mode splitting. This phenomenon has been known for long in other disciplines as quantum optics and cavity optomechanics. It appears as a splitting in the resonance peak of an oscillating mode when coupled to another and excited parametrically at the difference frequency. The coupling strength between both modes dictates the width of the splitting, thus, the phenomenon is helpful for its estimation. In this contribution, the phenomenon is investigated analytically, where effect could be traced in the parameter space of the parametric and forced excitation frequencies. In addition, an experiment is conducted on a two-mode dielectrically actuated nanostring and the obtained model could be validated.
