Optimizing the dynamical behavior of a dual-frequency parametric amplifier with quadratic and cubic nonlinearities
Abstract The paper describes a novel parametric excitation scheme that acts as a tunable amplifier by controlling two pumping signals and two nonlinear feedback terms. By modulating the stiffness of a mechanical oscillator with a digital signal processor, low-frequency inputs are projected onto a hi...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Dolev, A. [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2018 |
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| Schlagwörter: |
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| Anmerkung: |
© Springer Science+Business Media B.V., part of Springer Nature 2018 |
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| Übergeordnetes Werk: |
Enthalten in: Nonlinear dynamics - Springer Netherlands, 1990, 92(2018), 4 vom: 07. März, Seite 1955-1974 |
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| Übergeordnetes Werk: |
volume:92 ; year:2018 ; number:4 ; day:07 ; month:03 ; pages:1955-1974 |
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| DOI / URN: |
10.1007/s11071-018-4174-5 |
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| 520 | |a Abstract The paper describes a novel parametric excitation scheme that acts as a tunable amplifier by controlling two pumping signals and two nonlinear feedback terms. By modulating the stiffness of a mechanical oscillator with a digital signal processor, low-frequency inputs are projected onto a higher resonance frequency, thus exploiting the natural selective filtering of such structures. Described is an optimized dual-term nonlinear stiffness resonator that enhances the input signal level and the sensitivity to changes in both amplitude and phase, while limiting the obtained response to desired levels. This amplifier is geared to cases when the frequency of the input is known or measurable, like in rotating structures, while the amplitude and phase are too weak to be detected without amplification. It is shown that by tuning the cubic and quadratic feedback terms, the amplifier benefits from a nearly linear response behavior, while exploiting the benefits of nonlinear and pumping signal enhancements. | ||
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10.1007/s11071-018-4174-5 doi (DE-627)OLC2051131023 (DE-He213)s11071-018-4174-5-p DE-627 ger DE-627 rakwb eng 510 VZ 11 ssgn Dolev, A. verfasserin (orcid)0000-0003-1540-9784 aut Optimizing the dynamical behavior of a dual-frequency parametric amplifier with quadratic and cubic nonlinearities 2018 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media B.V., part of Springer Nature 2018 Abstract The paper describes a novel parametric excitation scheme that acts as a tunable amplifier by controlling two pumping signals and two nonlinear feedback terms. By modulating the stiffness of a mechanical oscillator with a digital signal processor, low-frequency inputs are projected onto a higher resonance frequency, thus exploiting the natural selective filtering of such structures. Described is an optimized dual-term nonlinear stiffness resonator that enhances the input signal level and the sensitivity to changes in both amplitude and phase, while limiting the obtained response to desired levels. This amplifier is geared to cases when the frequency of the input is known or measurable, like in rotating structures, while the amplitude and phase are too weak to be detected without amplification. It is shown that by tuning the cubic and quadratic feedback terms, the amplifier benefits from a nearly linear response behavior, while exploiting the benefits of nonlinear and pumping signal enhancements. Parametric amplifier Perturbation methods Tunable system Optimization Principal parametric resonance Combination resonance Bucher, I. (orcid)0000-0002-8815-4682 aut Enthalten in Nonlinear dynamics Springer Netherlands, 1990 92(2018), 4 vom: 07. März, Seite 1955-1974 (DE-627)130936782 (DE-600)1058624-6 (DE-576)034188126 0924-090X nnns volume:92 year:2018 number:4 day:07 month:03 pages:1955-1974 https://doi.org/10.1007/s11071-018-4174-5 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY SSG-OLC-CHE SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_70 AR 92 2018 4 07 03 1955-1974 |
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10.1007/s11071-018-4174-5 doi (DE-627)OLC2051131023 (DE-He213)s11071-018-4174-5-p DE-627 ger DE-627 rakwb eng 510 VZ 11 ssgn Dolev, A. verfasserin (orcid)0000-0003-1540-9784 aut Optimizing the dynamical behavior of a dual-frequency parametric amplifier with quadratic and cubic nonlinearities 2018 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media B.V., part of Springer Nature 2018 Abstract The paper describes a novel parametric excitation scheme that acts as a tunable amplifier by controlling two pumping signals and two nonlinear feedback terms. By modulating the stiffness of a mechanical oscillator with a digital signal processor, low-frequency inputs are projected onto a higher resonance frequency, thus exploiting the natural selective filtering of such structures. Described is an optimized dual-term nonlinear stiffness resonator that enhances the input signal level and the sensitivity to changes in both amplitude and phase, while limiting the obtained response to desired levels. This amplifier is geared to cases when the frequency of the input is known or measurable, like in rotating structures, while the amplitude and phase are too weak to be detected without amplification. It is shown that by tuning the cubic and quadratic feedback terms, the amplifier benefits from a nearly linear response behavior, while exploiting the benefits of nonlinear and pumping signal enhancements. Parametric amplifier Perturbation methods Tunable system Optimization Principal parametric resonance Combination resonance Bucher, I. (orcid)0000-0002-8815-4682 aut Enthalten in Nonlinear dynamics Springer Netherlands, 1990 92(2018), 4 vom: 07. März, Seite 1955-1974 (DE-627)130936782 (DE-600)1058624-6 (DE-576)034188126 0924-090X nnns volume:92 year:2018 number:4 day:07 month:03 pages:1955-1974 https://doi.org/10.1007/s11071-018-4174-5 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY SSG-OLC-CHE SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_70 AR 92 2018 4 07 03 1955-1974 |
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Optimizing the dynamical behavior of a dual-frequency parametric amplifier with quadratic and cubic nonlinearities |
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Abstract The paper describes a novel parametric excitation scheme that acts as a tunable amplifier by controlling two pumping signals and two nonlinear feedback terms. By modulating the stiffness of a mechanical oscillator with a digital signal processor, low-frequency inputs are projected onto a higher resonance frequency, thus exploiting the natural selective filtering of such structures. Described is an optimized dual-term nonlinear stiffness resonator that enhances the input signal level and the sensitivity to changes in both amplitude and phase, while limiting the obtained response to desired levels. This amplifier is geared to cases when the frequency of the input is known or measurable, like in rotating structures, while the amplitude and phase are too weak to be detected without amplification. It is shown that by tuning the cubic and quadratic feedback terms, the amplifier benefits from a nearly linear response behavior, while exploiting the benefits of nonlinear and pumping signal enhancements. © Springer Science+Business Media B.V., part of Springer Nature 2018 |
| abstractGer |
Abstract The paper describes a novel parametric excitation scheme that acts as a tunable amplifier by controlling two pumping signals and two nonlinear feedback terms. By modulating the stiffness of a mechanical oscillator with a digital signal processor, low-frequency inputs are projected onto a higher resonance frequency, thus exploiting the natural selective filtering of such structures. Described is an optimized dual-term nonlinear stiffness resonator that enhances the input signal level and the sensitivity to changes in both amplitude and phase, while limiting the obtained response to desired levels. This amplifier is geared to cases when the frequency of the input is known or measurable, like in rotating structures, while the amplitude and phase are too weak to be detected without amplification. It is shown that by tuning the cubic and quadratic feedback terms, the amplifier benefits from a nearly linear response behavior, while exploiting the benefits of nonlinear and pumping signal enhancements. © Springer Science+Business Media B.V., part of Springer Nature 2018 |
| abstract_unstemmed |
Abstract The paper describes a novel parametric excitation scheme that acts as a tunable amplifier by controlling two pumping signals and two nonlinear feedback terms. By modulating the stiffness of a mechanical oscillator with a digital signal processor, low-frequency inputs are projected onto a higher resonance frequency, thus exploiting the natural selective filtering of such structures. Described is an optimized dual-term nonlinear stiffness resonator that enhances the input signal level and the sensitivity to changes in both amplitude and phase, while limiting the obtained response to desired levels. This amplifier is geared to cases when the frequency of the input is known or measurable, like in rotating structures, while the amplitude and phase are too weak to be detected without amplification. It is shown that by tuning the cubic and quadratic feedback terms, the amplifier benefits from a nearly linear response behavior, while exploiting the benefits of nonlinear and pumping signal enhancements. © Springer Science+Business Media B.V., part of Springer Nature 2018 |
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4 |
| title_short |
Optimizing the dynamical behavior of a dual-frequency parametric amplifier with quadratic and cubic nonlinearities |
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https://doi.org/10.1007/s11071-018-4174-5 |
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Bucher, I. |
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10.1007/s11071-018-4174-5 |
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2024-07-04T03:39:10.906Z |
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