Explanipedia

Nonlinear coupling of closely spaced modes in atomically thin MoS2 nanoelectromechanical resonators Open

S M Enamul Hoque Yousuf, Steven W. Shaw, Philip X.‐L. Feng · 2024

Nanoelectromechanical systems (NEMS) incorporating atomic or molecular layer van der Waals materials can support multimode resonances and exotic nonlinear dynamics. Here we investigate nonlinear coupling of closely spaced modes in a bilaye…

Extraordinary frequency stabilization by resonant nonlinear mode coupling Open

Oriel Shoshani, Scott Strachan, David A. Czaplewski, Daniel López, Steven W. Shaw · 2024

Here, we show that a self-sustained oscillator with a frequency-selective element operating with two nonlinearly coupled modes can achieve a level of frequency stability well beyond that available using single-mode operation. The system of…

Nonlinear interactions between vibration modes with vastly different eigenfrequencies Open

Oriel Shoshani, Steven W. Shaw · 2023

Nonlinear interactions between modes with eigenfrequencies that differ by orders of magnitude are ubiquitous in various fields of physics, ranging from cavity optomechanics to aeroelastic systems. Simplifying their description to a minimal…

Tuning of centrifugal pendulum vibration absorbers operating in a fluid Open

Steven W. Shaw, Reza Bahadori · 2023

The linear and nonlinear tuning of centrifugal pendulum vibration absorbers operating in a fluid is addressed. These devices are used to reduced engine order torsional vibrations in rotating machinery. They are frequently housed in a rotat…

Nonlinear interactions between vibration modes with vastly different eigenfrequencies Open

Oriel Shoshani, Steven W. Shaw · 2023

Nonlinear interactions between modes with eigenfrequencies that differ by orders of magnitude are ubiquitous and occur in various fields of physics, ranging from cavity optomechanics to aeroelastic systems. We show that the complex dynamic…

Bolt installation and tensioning system Open

Steven W. Shaw, Derek Noël · 2023

A bolt installation and removal (BIR) system is used for assembling and disassembling a nuclear vessel. The BIR system includes a platform with a stand for supporting the nuclear vessel. A track extends around an outside perimeter of the p…

Controllable branching of robust response patterns in nonlinear mechanical resonators Open

Axel M. Eriksson, Oriel Shoshani, Daniel López, Steven W. Shaw, David A. Czaplewski · 2023

A hybrid averaging and harmonic balance method for weakly nonlinear asymmetric resonators Open

Steven W. Shaw, Sahar Rosenberg, Oriel Shoshani · 2022

Models for nonlinear vibrations commonly employ polynomial terms that arise from series expansions about an equilibrium point. The analysis of symmetric systems with cubic terms is very common, and the inclusion of asymmetric quadratic ter…

Controllable branching of robust response patterns in nonlinear mechanical resonators Open

Axel M. Eriksson, Oriel Shoshani, Steven W. Shaw, Daniel López, David A. Czaplewski · 2022

In lieu of active feedback control in complex systems over long timeframes, nonlinear dynamics offers solutions to generate long-term responses. This type of control has been proposed for use in resonators that exhibit a plethora of comple…

Amplitude stabilization in a synchronized nonlinear nanomechanical oscillator Open

Martial Defoort, Sébastien Hentz, Steven W. Shaw, Oriel Shoshani · 2022

Control of dumbbell satellite orbits using moving mass actuators Open

Valery N. Pilipchuk, Steven W. Shaw, Nabil G. Chalhoub · 2022

Possible principles of a moving mass control of the orbital parameters of an artificial satellite are discussed in the present paper. The satellite is assumed to have a dumbbell shape such that both massive parts can spin and change their …

Effects of Remote Boundary Conditions on Clamping Loss in Micromechanical Resonators Open

James M. L. Miller, Gabrielle D. Vukasin, Ze Zhang, Hyun-Keun Kwon, Arun Majumdar , et al. · 2022

Clamping loss in micromechanical resonators can strongly depend on the boundary conditions far away from the actual vibrating structure because the acoustic wavelength greatly exceeds the device dimensions. We demonstrate a scheme for post…

Computational Modeling of Nonlinear Dynamics and Its Utility in MEMS Gyroscopes. Open

Donghao Li, Steven W. Shaw, Pavel Polunin · 2022

This paper describes a hybrid approach for modeling nonlinear vibrations and determining essential (normal form) coefficients that govern a reduced-order model of a structure. Incorporating both computational and analytical tools, this ble…

The Effects of Gravity on the Response of Centrifugal Pendulum Vibration Absorbers Open

Darryl Tchokogoué, Ming Mu, Brian F. Feeny, Bruce Geist, Steven W. Shaw · 2021

This article describes the effects of gravity on the response of systems of identical, cyclically arranged, centrifugal pendulum vibration absorbers (CPVAs) fitted to a rotor spinning about a vertical axis. CPVAs are passive devices compos…

Resonant modal interactions in micro/nano-mechanical structures Open

Oriel Shoshani, Steven W. Shaw · 2021

This paper considers nonlinear interactions between vibration modes with a focus on recent studies relevant to micro- and nanoscale mechanical resonators. Due to their inherently small damping and high susceptibility to nonlinearity, these…

The effects of nonlinear damping on degenerate parametric amplification Open

Donghao Li, Steven W. Shaw · 2020

This paper considers the dynamic response of a single degree of freedom system with nonlinear stiffness and nonlinear damping that is subjected to both resonant direct excitation and resonant parametric excitation, with a general phase bet…

The effects of nonlinear damping on degenerate parametric amplification Open

Donghao Li, Steven W. Shaw · 2020

This paper considers the dynamic response of a single degree of freedom system with nonlinear stiffness and nonlinear damping that is subjected to both resonant direct excitation and resonant parametric excitation, with a general phase bet…

Spectral narrowing of parametrically pumped thermomechanical noise Open

James M. L. Miller, Dongsuk D. Shin, Hyun-Keun Kwon, Steven W. Shaw, Thomas W. Kenny · 2020

We derive the displacement noise spectrum of a parametrically pumped resonator below the onset for self-excited oscillations. We extend the fluctuation-dissipation response of a thermomechanical-noise-driven resonator to the case of degene…

Preface to the special issue “NODYCON 2O19” Open

Angelo Luongo, Haiyan Hu, Ju H. Park, Steven W. Shaw · 2019

Phase Control of Self-Excited Parametric Resonators Open

James M. L. Miller, Dongsuk D. Shin, Hyun-Keun Kwon, Steven W. Shaw, Thomas W. Kenny · 2019

Parametric resonators have wide utility as bits, sensors, and frequency references. Controlling the phase states of a parametric resonator enables signal generation and computation, but so far the states' rich dynamics in the presence of n…

Bifurcation diagram and dynamic response of a MEMS resonator with a 1:3 internal resonance Open

David A. Czaplewski, Scott Strachan, Oriel Shoshani, Steven W. Shaw, Daniel López · 2019

The dynamic response of a nonlinear resonator in the presence of resonant mode coupling is studied experimentally and theoretically. For the case of a clamped-clamped beam resonator in the presence of a 1:3 internal resonance, we show that…

Bifurcation Generated Mechanical Frequency Comb Open

David A. Czaplewski, Changyao Chen, Daniel López, Oriel Shoshani, Axel M. Eriksson , et al. · 2018

We demonstrate a novel response of a nonlinear micromechanical resonator when operated in a region of strong, nonlinear mode coupling. The system is excited with a single drive signal and its response is characterized by periodic amplitude…

FREQUENCY COMB GENERATION IN A NONLINEAR RESONATOR THROUGH MODE COUPLING USING A SINGLE TONE DRIVING SIGNAL Open

David A. Czaplewski, Steven W. Shaw, Oriel Shoshani, M. I. Dykman, Daniel López · 2018

In this paper, we demonstrate bursting behavior in a nonlinear microelectromechanical (MEMS) resonator that creates a frequency comb in the corresponding spectral response.The bursting behavior occurs for a single driving tone applied to t…

Anomalous Decay of Nanomechanical Modes Going Through Nonlinear Resonance Open

Oriel Shoshani, Steven W. Shaw, M. I. Dykman · 2017

Because of the small size of nanomechanical systems, their vibrations become nonlinear already for small amplitudes. Many nontrivial aspects of the vibration dynamics arise from the coexistence of several nonlinearly coupled modes. We show…

Direct observation of coherent energy transfer in nonlinear micromechanical oscillators Open

Changyao Chen, Damián H. Zanette, David A. Czaplewski, Jeffrey R. Guest, Steven W. Shaw , et al. · 2017

Special Section on the Dynamics of MEMS and NEMS Open

Jeffrey F. Rhoads, Hanna Cho, John A. Judge, Slava Krylov, Steven W. Shaw , et al. · 2017

Since the pioneering work of Harvey Nathanson and his collaborators in the mid-1960s, microelectromechanical systems (MEMS) that leverage dynamic behavior for practical purpose have been of distinct research interest [1,2]. From roughly 19…

Comparison of Nonlinear System Identification Methods for Free Decay Measurements with Application to MEMS Devices Open

Václav Ondra, Robin Riethmueller, Matthew R. W. Brake, Christoph Schwingshackl, Pavel Polunin , et al. · 2017

A number of methods for non-linear system identification in the time and frequency domain have been developed in the past. These methods have been applied to many systems, ranging from micro-scale devices to macro-scale systems, sometimes …

Tailoring the nonlinear response of MEMS resonators using shape optimization Open

Lily L. Li, Pavel Polunin, Suguang Dou, Oriel Shoshani, B. Scott Strachan , et al. · 2017

We demonstrate systematic control of mechanical nonlinearities in micro-electromechanical (MEMS) resonators using shape optimization methods. This approach generates beams with non-uniform profiles, which have nonlinearities and frequencie…

Anomalous dissipation of nanomechanical modes going through nonlinear resonance Open

Oriel Shoshani, Steven W. Shaw, M. I. Dykman · 2017

We study nonlinear resonance of coupled modes in nano-mechanical systems. To reveal the qualitative features of the dynamics, we consider the limiting cases, where the results can be obtained analytically. For 1:3 resonance, we find the an…

SYSTEMATIC DESIGN OF MEMS RESONATORS FOR OPTIMAL NONLINEAR DYNAMIC RESPONSE Open

L.L. Li, Pavel Polunin, Suguang Dou, Oriel Shoshani, B. Scott Strachan , et al. · 2016

We report on the first experimental demonstration of an effective and systematic control over the mechanical contribution to the Duffing nonlinearity in microelectromechanical (MEMS) resonators using nonlinear shape optimization methods.A …

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