“…Due to the interaction between the geometry nonlinearity (mid-plane stretching) and the force nonlinearity, the curved structure exhibits multiple stable equilibria, snap-through motion and pull-in instabilities along with modal interaction [ 18 , 19 , 20 , 21 , 22 ]. It is well acknowledged that there are abundant nonlinear phenomena in MEMS while extending the micro-devices driving forces into the nonlinear regimes [ 23 , 24 , 25 , 26 , 27 , 28 , 29 , 30 , 31 ]. Essentially, a large excitation will significantly increase the vibration amplitude and thus improve the performance of such devices [ 32 , 33 , 34 ].…”