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In this work, we present the effects of stochastic force generated by whitenoise on the nonlinear dynamics of a circular silicon nitride membrane. Bytuning the membrane to the Duffing nonlinear region, detected signals switchingbetween low- and high- amplitudes have been observed. They are generated bynoise-assisted random jumps between bistable states at room temperature andexhibit high sensitivity to the driving frequency. Through artificially heatingdifferent mechanical vibration modes by external input of white noise, theswitching rate exhibits exponential dependence on the effective temperature andfollows with Kramer's law. Furthermore, both the measured switching rate andactivation energy exhibit sensitivity to the width of the hysteresis window innonlinear response and the driving force, which is in qualitative agreementwith the theoretical descriptions. Besides, white noise-induced hysteresiswindow squeezing and bifurcation point shifting have also been observed, whichare attributed to the stochastic force modulation of the spring constant of themembrane. These studies are essential for the generation and manipulation ofstochastic switching effects, paving the way to explore new functions based onprobability distributions in nanomechanical resonators.

Stochastic switching and squeeze of hysteresis window in nonlinear responses of silicon nitride membrane nanoelectromechanical resonators