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Micro- and nanoelectromechanical system (MEMS and NEMS) resonators can exhibit rich nonlinear dynamics as they are often operated at large amplitudes with high quality factors and possess a high mode density with a variety of nonlinear…

Computational Engineering, Finance, and Science · Computer Science 2025-12-29 Daniel Schiwietz , Marian Hörsting , Eva Maria Weig , Matthias Wenzel , Peter Degenfeld-Schonburg

The concept of lumped optical nanoelements (or metactronics), wherein nanometer-scale structures act as nanoinductors, nanocapacitors and nanoresistors, has attracted a great deal of attention as a simple toolbox for engineering different…

Optics · Physics 2021-06-18 Pujuan Ma , Lei Gao , Pavel Ginzburg , Roman E. Noskov

The shape of a nanomechanical resonator profoundly affects its mechanical properties and determines its suitability for various applications, such as ultra-sensitive mass and force detection. Despite the promise of two-dimensional…

Mesoscale and Nanoscale Physics · Physics 2018-10-18 David Miller , Benjamín Alemán

We investigate the impact of nonlinear damping on the dynamics of a nanomechanical doubly clamped beam. The beam is driven into nonlinear regime and the response is measured by a displacement detector. For data analysis we introduce a…

Other Condensed Matter · Physics 2009-09-29 Stav Zaitsev , Ronen Almog , Oleg Shtempluck , Eyal Buks

Studying the dynamical behavior of micro- and nano-mechanical systems (MEMS and NEMS) is essential in various fields from nonlinear dynamics to quantum technologies. Hence, it is important to be able to precisely monitor the mechanical…

Optics · Physics 2025-12-09 Agnes Zinth , Samer Houri , Menno Poot

We present direct observation of the ring-down dynamics in the rotating frame of a resonantly driven single-mode nonlinear nanomechanical resonator. An additional close to resonance harmonic force excites nonlinear oscillations about the…

Mesoscale and Nanoscale Physics · Physics 2025-08-27 Hyunjin Choi , Oriel Shoshani , Ryundon Kim , Younghun Ryu , Jinhoon Jeong , Junho Suh , Steven W. Shaw , M. I. Dykman , Hyoungsoon Choi

Nonlinearities play a critical role in the dynamics of mechanical resonators, enhancing sensitivity and enabling signal manipulation. Understanding the parameters affecting nonlinearities is crucial for developing strategies to counteract…

Applied Physics · Physics 2024-02-06 Nishta Arora , Priyanka Singh , Randhir Kumar , Rudra Pratap , Akshay Naik

Hybrid systems consisting of a quantum emitter coupled to a mechanical oscillator are receiving increasing attention for fundamental science and potential applications in quantum technologies. In contrast to most of the presented works, in…

The concept of nonlinear modes is useful for the dynamical characterization of nonlinear mechanical systems. While efficient and broadly applicable methods are now available for the computation of nonlinear modes, nonlinear modal testing is…

Systems and Control · Electrical Eng. & Systems 2020-11-18 Maren Scheel , Simon Peter , Remco I. Leine , Malte Krack

We consider frequency fluctuations in self-sustained oscillators based on nonlinear underdamped resonators. An important type of such resonators are nano- and micro-electro-mechanical systems. Various noise sources are considered, with the…

Mesoscale and Nanoscale Physics · Physics 2021-01-20 N. J. Miller , S. W. Shaw , M. I. Dykman

We report measurements of vibrational mode shapes of mechanical resonators made from ultrathin carbon nanomembranes (CNMs) with a thickness of approximately 1 nm. CNMs are prepared from electron irradiation induced cross-linking of aromatic…

Materials Science · Physics 2018-04-30 Xianghui Zhang , Reimar Waitz , Fan Yang , Carolin Lutz , Polina Angelova , Armin Gölzhäuser , Elke Scheer

Strongly out-of-equilibrium regimes in magnetic nanostructures exhibit novel properties, linked to the nonlinear nature of magnetization dynamics, which are of great fundamental and practical interest. Here, we demonstrate that field-driven…

The direct computation of the third-order normal form for a geometrically nonlinear structure discretised with the finite element (FE) method, is detailed. The procedure allows to define a nonlinear mapping in order to derive accurate…

Computational Engineering, Finance, and Science · Computer Science 2022-05-26 Alessandra Vizzaccaro , Yichang Shen , Loïc Salles , Jiří Blahoš , Cyril Touzé

Stochastic resonance is a general phenomenon usually observed in one-dimensional, amplitude modulated, bistable systems.We show experimentally the emergence of phase stochastic resonance in the bidimensional response of a forced…

Carbon nanotubes and graphene allow fabricating outstanding nanomechanical resonators. They hold promise for various scientific and technological applications, including sensing of mass, force, and charge, as well as the study of quantum…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 A. Eichler , J. Moser , J. Chaste , M. Zdrojek , I. Wilson-Rae , A. Bachtold

Nonlinear interactions between vibrational modes play a crucial role in understanding the dynamical response of nanomechanical resonators. Here, we report the experimental observation and theoretical modeling of nonlinear mode coupling in a…

Mesoscale and Nanoscale Physics · Physics 2026-03-10 Soumya Kanti Das , Nishta Arora , Hridhay A S , Akshay Naik , Chandan Samanta

Engineered micro- and nanomechanical resonators with ultra-low dissipation constitute the ideal systems for applications ranging from high-precision sensing such as magnetic resonance force microscopy, to quantum transduction between…

Mesoscale and Nanoscale Physics · Physics 2021-10-27 Dennis Høj , Fengwen Wang , Wenjun Gao , Ulrich Busk Hoff , Ole Sigmund , Ulrik Lund Andersen

We describe and demonstrate a method by which the nonlinear piezoelectric properties of a piezoelectric material may be measured by detecting the force that it applies on a suspended micromechanical resonator at one of its mechanical…

Applied Physics · Physics 2018-05-25 Joseph A. Boales , Shyamsunder Erramilli , Pritiraj Mohanty

We consider the tension-induced non-linearities of mechanical resonators, and derive the Hamiltonian of the flexural modes up to the fourth order in the position operators. This tension can be controlled by a nearby gate voltage. We focus…

Mesoscale and Nanoscale Physics · Physics 2015-06-12 Raphaël Khan , F. Massel , T. T. Heikkilä

Tuning the frequency of a resonant element is of vital importance in both the macroscopic world, such as when tuning a musical instrument, as well as at the nanoscale. In particular, precisely controlling the resonance frequency of isolated…

Mesoscale and Nanoscale Physics · Physics 2020-04-22 David J. Miller , Andrew Blaikie , Benjamin J. Aleman