Harmonic and Nonlinear Resonances

Rajasekar, S.; Sanjuán, Miguel A. F.

doi:10.1007/978-3-319-24886-8_1

Cited by 3 publications

(1 citation statement)

References 66 publications

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“…In this paper, resonant vibrations are used as a common term for vibrations near a natural frequency of the structure, which also includes FLI, and hence, no specific type of oscillator is assigned to the ice-structure interaction system (Rajasekar and Sanjuan, 2016). We show the encountered difficulty to classify IIV events as FLI when we present an analysis of 61 events of resonant vibrations that were measured on Norströmsgrund lighthouse between 2001 and…”

Section: Introductionmentioning

confidence: 99%

Ice-induced vibrations of the Norströmsgrund lighthouse

Nord

Samardžija

Hendrikse

et al. 2018

Cold Regions Science and Technology

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The signature and occurrence of frequency lock-in (FLI) vibrations of full-scale offshore structures are not well understood. Although several structures have experienced FLI, limited amounts of time histories of the responses alongside measured met-ocean data are available in the literature. This paper presents an analysis of 61 measured events of resonant vibrations of the Norströmsgrund lighthouse from 2001 until 2003. Most of these events did not reach a steady-state response; thus, they violate an often-quoted criterion for frequency lock-in vibrations and remain outside any modes of ice-induced vibrations suggested in standards.

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Section: Introductionmentioning

confidence: 99%

Ice-induced vibrations of the Norströmsgrund lighthouse

Nord

Samardžija

Hendrikse

et al. 2018

Cold Regions Science and Technology

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Fractional dynamical behavior of electrical activity in a model of pancreatic β-cells

Bodo

Mvogo

Morfu

2017

Chaos, Solitons & Fractals

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Aperiodic resonance of a nonlinear system excited by aperiodic binary signal or <i>M</i>-ary signal

Wang,

Yang

2023

Acta Phys. Sin.

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The aperiodic resonance of a typical nonlinear system that excited by a single aperiodic binary or M-ary signal and its measuring method are studied. The focus is on exploring aperiodic resonance caused by the system parameter. A response amplitude gain index suitable for aperiodic excitation is proposed to measure the effect of aperiodic resonance, and the research is carried out by combining the cross-correlation coefficient index and bit error rate index. The results show that the cross-correlation coefficient can better describe the synchronization and waveform similarity between the system output and the input aperiodic signal, but cannot describe the situation whether the signal is amplified after passing through the nonlinear system. The response amplitude gain can better describe the amplification of signal amplitude after passing through the nonlinear system, but cannot reflect the synchronization and waveform similarity between the system output and the input aperiodic signal. The aperiodic resonance occurs at the valley corresponding to the cross-correlation coefficient and the peak corresponding the response amplitude gain. The aperiodic resonance locations reflected on both the cross-correlation coefficient and the response amplitude gain curves are the same. The bit error rate can describe the synchronization between the system output and the input signal at appropriate thresholds, as well as the degree to which the aperiodic signal is amplified after passing through the nonlinear system. The bit error rate curve can directly indicate the resonance region of the aperiodic resonance. The aperiodic resonance can occur in a nonlinear system excited by a single aperiodic binary or M-ary signal, and its aperiodic resonance effect needs to be measured by combining the cross-correlation coefficient, response amplitude gain, bit error rate and other indices together.

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Harmonic and Nonlinear Resonances

Cited by 3 publications

References 66 publications

Ice-induced vibrations of the Norströmsgrund lighthouse

Ice-induced vibrations of the Norströmsgrund lighthouse

Fractional dynamical behavior of electrical activity in a model of pancreatic β-cells

Aperiodic resonance of a nonlinear system excited by aperiodic binary signal or <i>M</i>-ary signal

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