Nonlinear modal testing of damped structures: Velocity feedback vs. phase resonance

Scheel, Maren

doi:10.1016/j.ymssp.2021.108305

Cited by 9 publications

(4 citation statements)

References 21 publications

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“…where C ϕ denotes the phase constraint matrix, similar to that in Eq. (31). Note that, in the previous case, where quadrature harmonic forcing is considered (in ➜3), the phase constraint matrix restricts zero phaseshifts to the enforced harmonics; however, here, the phase constraint matrix enforces relationships between harmonic phase-shifts.…”

Section: Up To This Point ẽ †mentioning

confidence: 97%

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Efficient Energy Balancing Across Multiple Harmonics of Nonlinear Normal Modes

Hong¹,

Hill²,

Neild³

2021

Preprint

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Predicting the forced responses of nonlinear systems is a topic that attracts extensive studies. The energy balancing method considers the net energy transfer in and out of the system over one period, and establishes connections between forced responses and nonlinear normal modes (NNMs). In this paper, we consider the energy balancing across multiple harmonics of NNMs for predicting forced resonances. This technique is constructed by combining the energy balancing mechanism with restrictions (established via excitation scenarios) on external forcing and harmonic phase-shifts; a semi-analytical framework is derived to achieve both accurate/robust results and efficient computations. With known inputs from NNM solutions, the required forcing amplitudes to reach NNMs at resonances, along with their discrepancy, i.e. the harmonic phase-shifts, are computed via a one-step scheme. Several examples are presented for different excitation scenarios to demonstrate the applicability of this method, and to show its capability in accurately predicting the existence of an isola where multiple harmonics play a significant part in the response.

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Section: Up To This Point ẽ †mentioning

confidence: 97%

“…Alternative approaches, e.g. response-controlled stepped-sine testing [16] and velocity feedback [31], can as well be utilised for nonlinear modal testing.…”

Section: Introductionmentioning

confidence: 99%

Efficient Energy Balancing Across Multiple Harmonics of Nonlinear Normal Modes

Hong¹,

Hill²,

Neild³

2021

Preprint

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show abstract

“…These efforts triggered the development of nonlinear phase resonance testing which targets the identification of the nonlinear normal modes (NNMs) defined as periodic solutions of the unforced, undamped system [5,6]. Basic [7,8,9] and more advanced (control-based) strategies [10,11,12,13,14,15,16,17,18] were developed during the last decade. In this context, phase-locked loops (PLLs) are particularly effective for tracking phase quadrature for increasing forcing amplitudes, as first proposed in [11].…”

Section: Introductionmentioning

confidence: 99%

Resonant phase lags of a Duffing oscillator

Volvert¹,

Kerschen²

2022

Preprint

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“…Alternative approaches, e.g. responsecontrolled stepped-sine testing [17] and velocity feedback [33], can as well be utilised for nonlinear modal testing.…”

Section: Introductionmentioning

confidence: 99%

Efficient energy balancing across multiple harmonics of nonlinear normal modes

2022

View full text Add to dashboard Cite

Predicting the forced responses of nonlinear systems is a topic that attracts extensive studies. The energy balancing method considers the net energy transfer in and out of the system over one period and establishes connections between forced responses and nonlinear normal modes (NNMs). In this paper, we consider the energy balancing across multiple harmonics of NNMs for predicting forced resonances. This technique is constructed by combining the energy balancing mechanism with restrictions (established via excitation scenarios) on external forcing and harmonic phase-shifts; a semi-analytical framework is derived to achieve both accurate/robust results and efficient computations. With known inputs from NNM solutions, the required forcing amplitudes to reach NNMs at resonances, along with their discrepancy, i.e. the harmonic phase-shifts, are computed via a one-step scheme. Several examples are presented for different excitation scenarios to demonstrate the applicability of this method and to show its capability in accurately predicting the existence of an isola where multiple harmonics play a significant part in the response.

show abstract

Nonlinear modal testing of damped structures: Velocity feedback vs. phase resonance

Cited by 9 publications

References 21 publications

Efficient Energy Balancing Across Multiple Harmonics of Nonlinear Normal Modes

Efficient Energy Balancing Across Multiple Harmonics of Nonlinear Normal Modes

Resonant phase lags of a Duffing oscillator

Efficient energy balancing across multiple harmonics of nonlinear normal modes

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