Non-contact acoustic excitation and associated nonlinear dynamics of small levitated objects

Akbarzadeh, Mehdi

Non-contact acoustic excitation and associated nonlinear dynamics of small levitated objects

Akbarzadeh, Mehdi

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Publication Type:: Thesis
Issue Date:: 2024

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Field	Value	Language
dc.contributor.author	Akbarzadeh, Mehdi
dc.date.accessioned	2025-09-15T04:17:35Z
dc.date.available	2025-09-15T04:17:35Z
dc.date.issued	2024
dc.identifier.uri	http://hdl.handle.net/10453/189848
dc.description	University of Technology Sydney. Faculty of Engineering and Information Technology.	en_US.UTF-8
dc.description.abstract	Acoustic radiation force occurs when an object scatters part of the incident momentum from an acoustic wave. Most studies focus on the acoustic field, while the dynamic response of objects in the acoustic radiation force field is less explored. This research addresses this gap by applying external excitation to manipulate the force’s magnitude and direction. A theoretical model is developed, demonstrating that the acoustic contrast factor depends on the properties of the spherical object, fluid characteristics, and the external excitation properties. This model is extended to non-spherical objects using a finite element analysis. Then, by using the Gorkov formulation, a mathematical model is developed for the governing equation of motion, like the Duffing equation. The system’s dynamic sensitivity is analysed using the Sobol indices, revealing that external vibrations can significantly alter the system’s response. Using experimental time series data and the Sparse Identification of Nonlinear Dynamics (SINDy) algorithm, the nonlinear differential equations of motion for the object oscillating in an acoustic radiation force field are extracted. Bifurcation diagrams reveal the system’s transition from regular to irregular motion. Recurrence plots and motifs classify these dynamics, offering insights into controlling the system and studying the nonlinear dynamics of levitated objects.	en_US.UTF-8
dc.format	Thesis (PhD)
dc.language.iso	en_US	en_US.UTF-8
dc.relation	https://opus.lib.uts.edu.au/bitstream/10453/189848/1/thesis.pdf
dc.rights	info:eu-repo/semantics/openAccess
dc.rights	The author owns the copyright in this thesis including all reproduction and reuse rights for the work. The work may not be altered without the permission of the copyright owner. Attribution is essential when quoting or paraphrasing from this thesis.
dc.rights	© 2024 Mehdi Akbarzadeh
dc.rights	au.edu.uts.lib/cph
dc.title	Non-contact acoustic excitation and associated nonlinear dynamics of small levitated objects	en_US.UTF-8
dc.type	Thesis
utslib.copyright.status	open_access	*

Abstract:

Acoustic radiation force occurs when an object scatters part of the incident momentum from an acoustic wave. Most studies focus on the acoustic field, while the dynamic response of objects in the acoustic radiation force field is less explored. This research addresses this gap by applying external excitation to manipulate the force’s magnitude and direction. A theoretical model is developed, demonstrating that the acoustic contrast factor depends on the properties of the spherical object, fluid characteristics, and the external excitation properties. This model is extended to non-spherical objects using a finite element analysis. Then, by using the Gorkov formulation, a mathematical model is developed for the governing equation of motion, like the Duffing equation. The system’s dynamic sensitivity is analysed using the Sobol indices, revealing that external vibrations can significantly alter the system’s response. Using experimental time series data and the Sparse Identification of Nonlinear Dynamics (SINDy) algorithm, the nonlinear differential equations of motion for the object oscillating in an acoustic radiation force field are extracted. Bifurcation diagrams reveal the system’s transition from regular to irregular motion. Recurrence plots and motifs classify these dynamics, offering insights into controlling the system and studying the nonlinear dynamics of levitated objects.

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http://hdl.handle.net/10453/189848