Nonlinear forced vibration of bilayer van der Waals materials drum resonator

Abstract

The interlayer shear effect could play a crucial role in the dynamic behaviors of the nanoelectromechanical system (NEMS) resonators based on multilayer van der Waals (vdW) materials. However, the interlayer shear effect is rarely considered in the nonlinear forced vibrations of this kind of resonators. In this study, the nonlinear static and dynamics behaviors of drum resonators based on double layer MoS2 (DLMoS2) are investigated using molecular dynamics simulations and a nonlinear circular sandwich plate model (NCSPM), respectively. The interlayer shear effect and the geometrical nonlinearity are systematically considered in the NCSPM. Our results show that comparing with drum resonators based on single layer MoS2 (SLMoS2), the DLMoS2 drum resonators exhibit higher fundamental frequency. The load–deflection curve of DLMoS2 shows clear hardening-type nonlinearity, and the deflections of DLMoS2 are smaller than that of SLMoS2 under the same uniform load per layer. In particular, both frequency sweep excitation simulations and the NCSPM show that the hardening-type nonlinearity of the DLMoS2 drum resonators is largely reduced due to the interlayer shear effect. Furthermore, DLMoS2 with different twist angle exhibits different interlayer shear strengths; thus, the nonlinear characteristic could be controlled by changing the twist angles in the DLMoS2 drum resonators. The present study should be of great help for designing NEMS resonators based on such vdW materials.

Phase-delay induced variation of synchronization bandwidth and frequency stability in a micromechanical oscillator

“…From Eqs. (17) and (18) we can see that the oscillator's self-oscillation amplitude is govered by the quality factor Q, nonlinearity β, feedback force f 0 and phase delay φ 0 (the perturbation strength f s is small enough, i.e. |A−A0| A0 ≈ 0).…”

“…Microelectromechanical systems (MEMS) have increasingly attracted considerable interest due to their small size and low power consumption since the integrated circuit (IC) technology rise in 1990. Related investigations not only focus on fundamental questions, such as frequency locking [28,26,27], internal resonance [7,20,41], mode coupling [4,29,9], pull-in [14,43], exit time [42], bilayer effect [17], etc., but also in tremendous potential applications including gas/mass sensing [12,34,33], filters [1], memory devices [39] and time keeping [3]. Due to the size effect, MEMS system is easily driven into nonlinear regime.…”

Monolayer MXene Nanoelectromechanical Piezo‐Resonators with 0.2 Zeptogram Mass Resolution

“…[ 39 ] As Vg increases to 2 V, the resonance peak changes to an asymmetric one from a symmetric line shape, confirming the Ti 3 C 2 Tx MXene resonator has become the nonlinear regime. [ 40 , 41 ] In this case, it can be described using the Duffing resonator model with an effective additional term and , which is related to the nonlinear restoring force and nonlinear damping, [ 2 ] and the detailed derivation is shown in the Part S8 , Supporting Information. The stable state of the Duffing equation is described as [ 7 ] where x is the motional amplitude, k is the effective spring constant, m is the resonator mass, γ is the linear damping coefficient, η is the nonlinear damping coefficient, α is the Duffing force coefficient, F 0 is the amplitude of the driving force, ω is the driving frequency, and t is time.…”

Effect of stacking order on the vibration properties of bilayer black phosphorus

“…In addition to the two in-plane directions being anisotropic, the mechanical properties are also out of plane anisotropy for multilayer BP due to the weak interlayer van der Waals (vdW) interactions but remain less well investigated. A critical factor determining the overall performance of multilayer 2D materials lies in the interlayer vdW interactions [25][26][27][28]. For example, Zhang et al [25] found that a positive shear modulus can increase the natural frequency for multilayered BP by MD simulations and continuum modelling.…”