Experimental Identification of a Structure with Internal Resonance

Background: Essential proteins play important roles in the survival or reproduction of an organism and support the stability of the system. Essential proteins are the minimum set of proteins absolutely required to maintain a living cell. The identification of essential proteins is a very important topic not only for a better comprehension of the minimal requirements for cellular life, but also for a more efficient discovery of the human disease genes and drug targets. Traditionally, as the experimental identification of essential proteins is complex, it usually requires great time and expense. With the cumulation of high-throughput experimental data, many computational methods that make useful complements to experimental methods have been proposed to identify essential proteins. In addition, the ability to rapidly and precisely identify essential proteins is of great significance for discovering disease genes and drug design, and has great potential for applications in basic and synthetic biology research. Objective: The aim of this paper is to provide a review on the identification of essential proteins and genes focusing on the current developments of different types of computational methods, point out some progress and limitations of existing methods, and the challenges and directions for further research are discussed.

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Effects of nonlinear interactions of flexural modes on the performance of a beam autoparametric vibration absorber

Journal of Vibration and Control ◽

10.1177/1077546319889839 ◽

2019 ◽

Vol 26 (7-8) ◽

pp. 459-474

Author(s):

Saeed Mahmoudkhani ◽

Hodjat Soleymani Meymand

Keyword(s):

Frequency Response ◽

Internal Resonance ◽

Continuation Method ◽

Harmonic Balance Method ◽

Vibration Absorber ◽

Primary System ◽

Lumped Mass ◽

Response Curves ◽

Internal Resonances ◽

The One

The performance of the cantilever beam autoparametric vibration absorber with a lumped mass attached at an arbitrary point on the beam span is investigated. The absorber would have a distinct feature that in addition to the two-to-one internal resonance, the one-to-three and one-to-five internal resonances would also occur between flexural modes of the beam by tuning the mass and position of the lumped mass. Special attention is paid on studying the effect of these resonances on increasing the effectiveness and extending the range of excitation amplitudes at which the autoparametric vibration absorber remains effective. The problem is formulated based on the third-order nonlinear Euler–Bernoulli beam theory, where the assumed-mode method is used for deriving the discretized equations of motion. The numerical continuation method is then applied to obtain the frequency response curves and detect the bifurcation points. The harmonic balance method is also employed for detecting the type of internal resonances between flexural modes by inspecting the frequency response curves corresponding to different harmonics of the response. Parametric studies on the performance of the absorber are conducted by varying the position and mass of the lumped mass, while the frequency ratio of the primary system to the first mode of the beam is kept equal to two. Results indicated that the one-to-five internal resonance is especially responsible for the considerable enhancement of the performance.

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Internal resonance characteristics of hyperelastic thin-walled cylindrical shells composed of Mooney–Rivlin materials

Thin-Walled Structures ◽

10.1016/j.tws.2021.107754 ◽

2021 ◽

Vol 163 ◽

pp. 107754

Author(s):

Wei Zhao ◽

Jing Zhang ◽

Wenzheng Zhang ◽

Xuegang Yuan

Keyword(s):

Internal Resonance ◽

Cylindrical Shells ◽

Thin Walled

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Tuning nonlinear damping in graphene nanoresonators by parametric–direct internal resonance

Nature Communications ◽

10.1038/s41467-021-21334-w ◽

2021 ◽

Vol 12 (1) ◽

Cited By ~ 1

Author(s):

Ata Keşkekler ◽

Oriel Shoshani ◽

Martin Lee ◽

Herre S. J. van der Zant ◽

Peter G. Steeneken ◽

...

Keyword(s):

Parametric Resonance ◽

Internal Resonance ◽

Microscopic Theory ◽

Fold Increase ◽

Nonlinear Damping ◽

Supporting Evidence ◽

Nonlinear Dissipation ◽

Modal Interactions ◽

Solid State Physics ◽

Internal Resonances

AbstractMechanical sources of nonlinear damping play a central role in modern physics, from solid-state physics to thermodynamics. The microscopic theory of mechanical dissipation suggests that nonlinear damping of a resonant mode can be strongly enhanced when it is coupled to a vibration mode that is close to twice its resonance frequency. To date, no experimental evidence of this enhancement has been realized. In this letter, we experimentally show that nanoresonators driven into parametric-direct internal resonance provide supporting evidence for the microscopic theory of nonlinear dissipation. By regulating the drive level, we tune the parametric resonance of a graphene nanodrum over a range of 40–70 MHz to reach successive two-to-one internal resonances, leading to a nearly two-fold increase of the nonlinear damping. Our study opens up a route towards utilizing modal interactions and parametric resonance to realize resonators with engineered nonlinear dissipation over wide frequency range.

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