Enhanced nonlinear dynamics and monitoring bifurcation morphing for the identification of parameter variations

Yin, Shih‐Hsun; Epureanu, Bogdan I.

doi:10.1016/j.jfluidstructs.2005.07.017

Cited by 14 publications

(28 citation statements)

References 38 publications

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“…The main idea of the bifurcation morphing approach is to apply nonlinear feedback excitations to the system to actively destabilize its dynamics and create bifurcation points in the parameter space [30]. The goal is to create bifurcation points which have high sensitivity to small parameter variations in the system.…”

Section: Delayed Nonlinear Feedback Excitationsmentioning

confidence: 99%

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Forecasting bifurcation morphing: application to cantilever-based sensing

Lim

Epureanu

2011

Nonlinear Dyn

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Two novel techniques are proposed to enhance the bifurcation morphing method as applied to cantilever-based sensors. First, nonlinear feedback excitations with added time delay are employed to minimize the sensitivity of the sensors to small variations in the unavoidable time delay. Second, a novel approach to forecast bifurcations is applied to the sensors. This approach significantly reduces the time required to obtain bifurcation diagrams. Both techniques are demonstrated experimentally in detecting mass variations of a test cantilever beam. This cantileverbased sensor operating based on the bifurcation morphing method is shown to be accurate, quick and robust when these techniques are utilized.

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Section: Delayed Nonlinear Feedback Excitationsmentioning

confidence: 99%

“…Bifurcation morphing by nonlinear feedback excitation is a novel nonlinear approach for damage detection and sensing [9,30]. This nonlinear approach is based on inducing a bifurcation by nonlinear feedback applied to a linear structure.…”

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confidence: 99%

Forecasting bifurcation morphing: application to cantilever-based sensing

Lim

Epureanu

2011

Nonlinear Dyn

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“…Yin and Epureanu (2005) proposed a bifurcation boundary analysis method as a new nonlinear damage detection tool and used it to track bifurcation boundary changes due to damages over a small region of an aeroelastic panel model. In that paper, their results show high sensitivities to the amount of damage.…”

Section: Introductionmentioning

confidence: 99%

“…The ultimate goal of the present work is to extend the method of Yin and Epureanu (2005) for damage detection in plates with bending in only one spatial direction to two spatial directions. As a first step, a beam-like panel with bending in only one spatial direction is reconsidered following Yin and Epureanu.…”

Section: Introductionmentioning

confidence: 99%

Bifurcation boundary analysis as a nonlinear damage detection feature: does it work?

Eftekhari

Bakhtiari-Nejad

Dowell

2011

Journal of Fluids and Structures

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“…They showed that exploiting nonlinear dynamics is a powerful tool in detecting different damage levels and locations. Yin and Epureanu [20] proposed a vibration-based damage detection approach. The proposed technique is to actively change the stability of a fixed point of a system and create a new stable fixed point or limit cycle by applying a nonlinear feedback excitation.…”

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confidence: 99%

Effects of all-over part-through cracks on the aeroelastic characteristics of rectangular panels

AsadiGorgi

Dardel

Pashaei

2015

Applied Mathematical Modelling

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In this study, flutter, limit cycle oscillation, and different nonlinear oscillations analyses of rectangular panels with all-over part-through crack are presented. These analyses are carried out for panels in according to first order shear deformation or Mindlin plate theory. The effects of crack's depth and location on various aeroelastic characteristics of moderately thick rectangular panels are accurately studied. These analyses show that for much of crack's depths and locations, the amplitude of nonlinear vibrations are increased. But there are some crack's locations, for them panel has lower amplitude of vibrations with respect to its intact counterpart. With changing the location and depth of crack, the maximum limit cycle oscillation amplitude will be different from intact counterpart. Also cracked panel may exhibit complex oscillations, other than limit cycle oscillation of intact panel. From these analyses, it can be shown that crack has significant influence on flutter boundary, and amplitude of limit cycle oscillation. Nomenclatureܽ Panel chord-wise length ܷ elastic energy ܾ Panel span-wise length ‫,ݔ‬ ‫,ݕ‬ ‫ݖ‬ Coordinates ‫ܦ‬ Plate bending flexible ߫, ߟ, ‫ݓ‬ ഥ non-dimensional coordinates ‫ܧ‬ Panel module of elasticity ߛ Shear strains ‫ܪ‬ Panel thickness ߝ Tensile strain components ℎ Crack thickness ߢ Shear correction factor ݉, ݊ Number of modes shapes for chord-wise and span-wise direction ߣ ி Dimensionless flutter (critical) aerodynamic pressure ‫ܯ‬ Mass matrix ߩ, ߩ Panel and air densities ‫ܭ‬ Stiffness matrix ߥ Poisson's ratio ‫ܮܰ‬ Nonlinear matrix ߱ Dimensionless frequency ‫ܣ‬ cross-sectional area ߱ Dimensionless i'th transverse frequency ‫ܭ‬ Crack stiffness coefficient ߫ Chord wise dimensionless crack location

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Enhanced nonlinear dynamics and monitoring bifurcation morphing for the identification of parameter variations

Cited by 14 publications

References 38 publications

Forecasting bifurcation morphing: application to cantilever-based sensing

Forecasting bifurcation morphing: application to cantilever-based sensing

Bifurcation boundary analysis as a nonlinear damage detection feature: does it work?

Effects of all-over part-through cracks on the aeroelastic characteristics of rectangular panels

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