Thermomechanical transitions in doubly-clamped micro-oscillators

Backbone transitions and invariant tori in forced micromechanical oscillators with optical detection

“…In [15], we demonstrated and explained a peculiar softening hardening transition in the resonant response of a doubly clamped microoscillator, with piezo forcing and optical detection (see Fig. 1).…”

“…Figures 2 and 3 show the (numerically computed) softening to hardening transition. For the transition observed in experiments please, see [15]. This transition turns out to be a consequence of subtle interplay between the temperature dependence of the linear and cubic stiffnesses of the oscillator.…”

“…The dynamics, once well understood can be exploited for appropriate applications. It is interesting to note that the dynamics and response of microsystems are highly dependent on the sensing mechanism [15].…”

“…This transition turns out to be a consequence of subtle interplay between the temperature dependence of the linear and cubic stiffnesses of the oscillator. The oscillator is under tension (≈50 MPa) due to the fabrication procedure [15]. At low laser power, the expansion due to heating is lower, so the initial tension in the system is higher making the effect of the cubic stiffness negligible (since the cubic stiffness is a result of induced tension in the beam due to deflection).…”

Multiple Limit Cycles in Laser Interference Transduced Resonators

“…As the resonator moves through interference field, it modulates the reflected signal which is measured in an AC-coupled photodiode. This general setup has been used to excite and study oscillations in cantilevers, clamped-clamped beams, disks, and domes [8,10,11]. -SECTIONAL VIEW OF AN INTERFER-OMETRICALLY TRANSDUCED CLAMPED-CLAMPED MEMS BEAM.…”