215 citations · 1k across the 8 of their papers we have counts for
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Nonlinearity in nanomechanical cantilevers
L. G. Villanueva, R. B. Karabalin, M. H. Matheny +3
Euler-Bernoulli beam theory is widely used to successfully predict the linear dynamics of micro- and nano-cantilever beams. However, its capacity to characterize the nonlinear dyna…
Stress-Induced Variations in the Stiffness of Micro- and Nanocantilever Beams
Rassul B. Karabalin, L. G. Villanueva, M. H. Matheny +2
The effect of surface stress on the stiffness of cantilever beams remains an outstanding problem in the physical sciences. While numerous experimental studies report significant st…
A Nanoscale Parametric Feedback Oscillator
L. Guillermo Villanueva, Rassul B. Karabalin, Matthew H. Matheny +3
We describe and demonstrate a new oscillator topology, the parametric feedback oscillator (PFO). The PFO paradigm is applicable to a wide variety of nanoscale devices, and opens th…
Surpassing fundamental limits of oscillators using nonlinear resonators
L. G. Villanueva, E. Kenig, R. B. Karabalin +4
Self-sustained oscillators are ubiquitous and essential for metrology, communications, time reference, and geolocation. In its most basic form an oscillator consists of a resonator…
A Passive Phase Noise Cancellation Element
Eyal Kenig, M. C. Cross, Ron Lifshitz +4
We introduce a new method for reducing phase noise in oscillators, thereby improving their frequency precision. The noise reduction device consists of a pair of coupled nonlinear r…
Nonlinear Dynamics and Chaos in Two Coupled Nanomechanical Resonators
R. B. Karabalin, M. C. Cross, M. L. Roukes
Two elastically coupled nanomechanical resonators driven independently near their resonance frequencies show intricate nonlinear dynamics. The dynamics provide a scheme for realizi…