Tension mediated nonlinear coupling between orthogonal mechanical modes of nanowire resonators

Abstract

We study the nonlinear coupling between orthogonal flexural modes of doubly clamped InAs nanowire resonators. The two orthogonal modes are formed by the symmetry breaking and lifting of degeneracy of the fundamental mode. The presence of a Duffing nonlinearity emerges when a mode is driven to large amplitudes.In this regime the modes are coupled due to the tension induced from the large amplitude of oscillations and is reflected in the hysteretic response of the mode that is not strongly driven. We study the driven-driven response of the mechanical modes to elucidate the role of nonlinear mode coupling in such mechanical resonators. The dynamics of the coupled modes studied here could prove useful in technological applications such as nanowire based vectorial force sensing.

Characterization of Mechanical Oscillations in Bismuth Selenide Nanowires at Low Temperatures

“…The asymmetric shape of the gated nanowire spectra may be explained by constructive and destructive interference between the modulated nanowire signal and all other contributing factors. Similar pairs of positive-negative peaks associated with a phase change, as well as negative amplitudes of the resonance signal, have been reported in the literature [14,[33][34][35]. Since the gate-induced electric field depends on the distance to the nanowire, the response may become nonlinear at large oscillation amplitudes.…”

Tuning the nonlinear dispersive coupling of nanomechanical string resonators

“…It is apparent as a dispersive eigenfrequency shift of the coupled mode which depends on the oscillation amplitude of the driven mode. Nonlinear mode coupling has been demonstrated between the harmonics of doubly clamped beams or strings, between the orthogonal flexural modes of a singly clamped nano-or microcantilever, and between the vibrational modes of a torsional resonator and one of its suspension springs [2][3][4][5][6][7][8][9]. Here we present nonlinear dispersive mode coupling between the fundamental flexural modes of two adjacent, intrinsically coupled nanomechanical resonators.…”

Nonlinear Mode Coupling and One-to-One Internal Resonances in a Monolayer WS2 Nanoresonator

“…Nanomechanical resonators that utilize low-dimensional materials can be driven into the nonlinear regime even at modest actuation forces due to their small thickness (bending stiffness) and, therefore, have been the subject of recent research. − Among different 2D materials, transition-metal dichalcogenides (TMDCs) with the general chemical formula AB 2 (A = Mo, W and B = S, Se, or Te) are characterized by reduced phonon–phonon scattering − and negligible spectral broadening and, thus, are better suited to resonator studies than graphene and other commonly employed materials. In this letter, we report a force sensor that utilizes nonlinear mode coupling in a monolayer tungsten disulfide (WS 2 ) nanoresonator.…”