Generating giant and tunable nonlinearity in a macroscopic mechanical resonator from a single chemical bond

Huang, Pu; Zhang, Jingwei; Zhang, Liang; Hou, Dong; Sun, Liwei; Deng, Wen; Chunxia, Meng; Duan, Chang‐Kui; Ju, Chenyong; Zheng, Xiao; Xue, Fei; Du, Jiangfeng

doi:10.1038/ncomms11517

Cited by 24 publications

(20 citation statements)

References 43 publications

(114 reference statements)

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“…To increase σ, one generally needs to increase the drive because it is difficult to increase k 2 in the macroscopic mechanical systems. Just recently, Huang et al [47] used chemical bonding interactions to generate a huge k 2 on the size scale of about 1 μm. Applying the Bloch theorem for periodic structure, the displacement reads…”

Section: Introductionmentioning

confidence: 99%

Wave propagation in one-dimensional nonlinear acoustic metamaterials

et al. 2017

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The propagation of waves in nonlinear acoustic metamaterial (NAM) is fundamentally different from that in conventional linear ones. In this article we consider two one-dimensional (1D) NAM systems featuring respectively a diatomic and a tetratomic meta unit-cell. We investigate the attenuation of waves, band structures, and bifurcations to demonstrate novel nonlinear effects, which can significantly expand the bandwidth for elastic wave suppression and cause nonlinear wave phenomena. The harmonic averaging approach, continuation algorithm, and Lyapunov exponents (LEs) are combined to study the frequency responses, nonlinear modes, bifurcations of periodic solutions, and chaos. The nonlinear resonances are studied, and the influence of damping on hyperchaotic attractors is evaluated. Moreover, a 'quantum' behavior is found between the low-energy and high-energy orbits. This work provides a theoretical base for furthering understandings and applications of NAMs.in NPSs would be relevant to those properties. Acoustic devices such as diodes [36] and lenses [37] can be built upon them. The strong NPS has been proved to increase the velocity of sound and therefore the acoustic impedance [38]. Moreover, the bandgap properties in NPSs attract much attention [39][40][41][42][43][44]. The perturbation approach and the harmonic balance method (HBM) are adopted [40][41][42] to study the amplitude-dependent dispersions, stop band properties, and wave beaming in granular crystals; and experimental works highlighted the role played by the critical amplitude in energy transmission [43] and bifurcation-induced bandgap reconfiguration [44] in NPSs. Actually, the granular crystals are suitable for ultrasonic applications; it is hard to consider them at the low-frequency regime because of the high contact stiffness they inherently feature.Because of their promising applications, AMs with both low-frequency and broadband properties attract much attention. However, the mechanisms for both properties to occur simultaneously are difficult to realize. LAMs consist of linear 'meta-atoms', but when this meta-atom becomes nonlinear in NAMs, wave propagation properties show different patterns. In our recent works [45,46], the wave propagation in diatomic and tetratomic NAMs are analyzed using the homotopy analysis method, and we found that the chaotic bands resulting from bifurcations can significantly enlarge the width of the wave-suppressing bands. This finding demonstrates that chaos is a novel and promising mechanism to simultaneously achieve low-frequency and broadband in both mono-bandgap NAMs and multi-bandgap NAMs; this finding also reiterates still that a strong nonlinearity is beneficial to expand the bandwidth by several times.However, there are many phenomena arising in NAMs that have not yet been fully explained nor demonstrated. For example, why are the responses in the first passband similar to those observed with LAMs? Under which conditions can the elastic energy propagate in the bandgap? When will the wave be amplified by c...

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Section: Introductionmentioning

confidence: 99%

Wave propagation in one-dimensional nonlinear acoustic metamaterials

et al. 2017

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“…The experimental studies of the double-cavity optomechanical system with whispering-gallery microcavities have been reported62636465. Besides, in the latest experiment report66, the tunable nonlinearity of the mechanical resonator has been greatly improved by exploring the anharmonicity in chemical bonding interactions. And our method, utilizing the coherent auxiliary cavity 2 to resist the influence of decay coming from cavity 1, is also feasible with the cubic nonlinearity of mechanical resonator, which is easy to prove as refs 37, 44.…”

Section: Discussionmentioning

confidence: 99%

Steady-state mechanical squeezing in a double-cavity optomechanical system

Wang

Bai

Wang

et al. 2016

Sci Rep

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We study the physical properties of double-cavity optomechanical system in which the mechanical resonator interacts with one of the coupled cavities and another cavity is used as an auxiliary cavity. The model can be expected to achieve the strong optomechanical coupling strength and overcome the optomechanical cavity decay, simultaneously. Through the coherent auxiliary cavity interferences, the steady-state squeezing of mechanical resonator can be generated in highly unresolved sideband regime. The validity of the scheme is assessed by numerical simulation and theoretical analysis of the steady-state variance of the mechanical displacement quadrature. The scheme provides a platform for the mechanical squeezing beyond the resolved sideband limit and solves the restricted experimental bounds at present.

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“…The overall nonlinear term α takes the form α ¼ α 3 − ð10=9Þα 2 2 ω −2 0 and determines the nonlinear types. When α 3 is positive and dominating, α 2 tends to decrease α while the resonance keeps a hardening effect.…”

Section: Theoretical Analysismentioning

confidence: 99%

“…The nonlinear nature of micro-or nanomechanical oscillators leads to abundant studies of fundamental and applied sciences [1][2][3][4][5], including macroscopic quantum behaviors, coherent coupling, and frequency stabilization. An efficient mechanism to tune the nonlinearity and resonance frequency holds promise for various applications such as ultrasensitive sensing [6,7] and signal processing [8,9].…”

Section: Introductionmentioning

confidence: 99%

Laser-Induced Transition between Nonlinear and Linear Resonant Behaviors of a Micromechanical Oscillator

Yang

Bellouard

2017

Phys. Rev. Applied

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We investigate both theoretically and experimentally a laser-based controlled tuning of the nonlinear behaviors of a single mechanical resonator. Thanks to localized three-dimensional modifications induced by femtosecond-laser irradiation, a Duffing-like oscillator is switched from a hardening resonance to a linear response and then to a softening resonance and exhibits a wide tunability of the resonant frequency and a remarkable increase of its linear dynamic range. The principles that underlie laser-tuned nonlinear oscillators are generic and simple, suggesting its wide applicability not only for micro-or nanooptomechanical systems but also as a generic framework for characterizing and understanding the physics of in-volume laser-affected zones.

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Generating giant and tunable nonlinearity in a macroscopic mechanical resonator from a single chemical bond

Cited by 24 publications

References 43 publications

Wave propagation in one-dimensional nonlinear acoustic metamaterials

Wave propagation in one-dimensional nonlinear acoustic metamaterials

Steady-state mechanical squeezing in a double-cavity optomechanical system

Laser-Induced Transition between Nonlinear and Linear Resonant Behaviors of a Micromechanical Oscillator

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