Nonlinear trapping stiffness of mid-air single-axis acoustic levitators

We describe and experimentally explore a nonlinear stiffness model of the trapping of a solid particle in a single-axis acoustic levitator. In contrast to the commonly employed linear stiffness assumption, our nonlinear model accurately predicts the response of the system. Our nonlinear model approx...

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Authors: Fushimi, Tatsuki, Hill, Thomas L., Marzo Pérez, Asier, Drinkwater, Bruce W.
Format: article
Status:Versión aceptada para publicación
Publication Date:2018
Country:España
Institution:Universidad Pública de Navarra
Repository:Academica-e. Repositorio Institucional de la Universidad Pública de Navarra
OAI Identifier:oai:academica-e.unavarra.es:2454/47377
Online Access:https://hdl.handle.net/2454/47377
Access Level:Open access
Keyword:Nonlinear dynamics modeling and theories
Nonlinear systems
Acoustics
Acoustic levitation
Acoustic radiation pressure
Experimental techniques
Spring stiffness
Standing waves
Numerical methods
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spelling Nonlinear trapping stiffness of mid-air single-axis acoustic levitatorsFushimi, TatsukiHill, Thomas L.Marzo Pérez, AsierDrinkwater, Bruce W.Nonlinear dynamics modeling and theoriesNonlinear systemsAcousticsAcoustic levitationAcoustic radiation pressureExperimental techniquesSpring stiffnessStanding wavesNumerical methodsWe describe and experimentally explore a nonlinear stiffness model of the trapping of a solid particle in a single-axis acoustic levitator. In contrast to the commonly employed linear stiffness assumption, our nonlinear model accurately predicts the response of the system. Our nonlinear model approximates the acoustic field in the vicinity of the trap as a one-dimensional sinusoid and solves the resulting dynamics using numerical continuation. In particular, we predict a softening of stiffness with amplitude as well as period-doubling bifurcations, even for small excitation amplitudes of 2% of the wavelength. These nonlinear dynamic features are observed experimentally in a single-axis levitator operating at 40 kHz and trapping millimetre-scale expanded polystyrene spheres. Excellent agreement between the observed and predicted behaviour is obtained suggesting that this relatively simple model captures the relevant physical phenomena. This new model enables the dynamic instabilities of trapped particles to be accurately predicted, thereby benefiting contactless transportation and manipulation applicationsT.F. was funded through the Japan Student Services Organization (JASSO) Student Exchange Support Program (Graduate Scholarship for Degree Seeking Students). This project has been funded by the UK Engineering and Physical Science Research Council (No. EP/N014197/1).American Institute of PhysicsEstadística, Informática y MatemáticasEstatistika, Informatika eta Matematika2018info:eu-repo/semantics/articleinfo:eu-repo/semantics/acceptedVersionapplication/pdfapplication/ziphttps://hdl.handle.net/2454/47377reponame:Academica-e. Repositorio Institucional de la Universidad Pública de Navarrainstname:Universidad Pública de NavarraInglésinfo:eu-repo/semantics/openAccessoai:academica-e.unavarra.es:2454/473772026-06-17T12:41:47Z
dc.title.none.fl_str_mv Nonlinear trapping stiffness of mid-air single-axis acoustic levitators
title Nonlinear trapping stiffness of mid-air single-axis acoustic levitators
spellingShingle Nonlinear trapping stiffness of mid-air single-axis acoustic levitators
Fushimi, Tatsuki
Nonlinear dynamics modeling and theories
Nonlinear systems
Acoustics
Acoustic levitation
Acoustic radiation pressure
Experimental techniques
Spring stiffness
Standing waves
Numerical methods
title_short Nonlinear trapping stiffness of mid-air single-axis acoustic levitators
title_full Nonlinear trapping stiffness of mid-air single-axis acoustic levitators
title_fullStr Nonlinear trapping stiffness of mid-air single-axis acoustic levitators
title_full_unstemmed Nonlinear trapping stiffness of mid-air single-axis acoustic levitators
title_sort Nonlinear trapping stiffness of mid-air single-axis acoustic levitators
dc.creator.none.fl_str_mv Fushimi, Tatsuki
Hill, Thomas L.
Marzo Pérez, Asier
Drinkwater, Bruce W.
author Fushimi, Tatsuki
author_facet Fushimi, Tatsuki
Hill, Thomas L.
Marzo Pérez, Asier
Drinkwater, Bruce W.
author_role author
author2 Hill, Thomas L.
Marzo Pérez, Asier
Drinkwater, Bruce W.
author2_role author
author
author
dc.contributor.none.fl_str_mv Estadística, Informática y Matemáticas
Estatistika, Informatika eta Matematika
dc.subject.none.fl_str_mv Nonlinear dynamics modeling and theories
Nonlinear systems
Acoustics
Acoustic levitation
Acoustic radiation pressure
Experimental techniques
Spring stiffness
Standing waves
Numerical methods
topic Nonlinear dynamics modeling and theories
Nonlinear systems
Acoustics
Acoustic levitation
Acoustic radiation pressure
Experimental techniques
Spring stiffness
Standing waves
Numerical methods
description We describe and experimentally explore a nonlinear stiffness model of the trapping of a solid particle in a single-axis acoustic levitator. In contrast to the commonly employed linear stiffness assumption, our nonlinear model accurately predicts the response of the system. Our nonlinear model approximates the acoustic field in the vicinity of the trap as a one-dimensional sinusoid and solves the resulting dynamics using numerical continuation. In particular, we predict a softening of stiffness with amplitude as well as period-doubling bifurcations, even for small excitation amplitudes of 2% of the wavelength. These nonlinear dynamic features are observed experimentally in a single-axis levitator operating at 40 kHz and trapping millimetre-scale expanded polystyrene spheres. Excellent agreement between the observed and predicted behaviour is obtained suggesting that this relatively simple model captures the relevant physical phenomena. This new model enables the dynamic instabilities of trapped particles to be accurately predicted, thereby benefiting contactless transportation and manipulation applications
publishDate 2018
dc.date.none.fl_str_mv 2018
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/acceptedVersion
format article
status_str acceptedVersion
dc.identifier.none.fl_str_mv https://hdl.handle.net/2454/47377
url https://hdl.handle.net/2454/47377
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
application/zip
dc.publisher.none.fl_str_mv American Institute of Physics
publisher.none.fl_str_mv American Institute of Physics
dc.source.none.fl_str_mv reponame:Academica-e. Repositorio Institucional de la Universidad Pública de Navarra
instname:Universidad Pública de Navarra
instname_str Universidad Pública de Navarra
reponame_str Academica-e. Repositorio Institucional de la Universidad Pública de Navarra
collection Academica-e. Repositorio Institucional de la Universidad Pública de Navarra
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15.81155

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