@inproceedings{668efc2d57cd4afa84f21bdd7497a322,
title = "Levitated and Parametrically Excited Sphere Dynamics in a Single-Axis Ultrasonic Levitator",
abstract = "The dynamics of an acoustically levitated rigid small sphere subjected to a parametric excitation is investigated analytically, experimentally, and numerically. An axisymmetric single-axis ultrasonic (∼28.56 kHz) levitator comprising an emitter and a matching concave reflector was designed and built, and the complex acoustic field generated by the emitter's unique oscillation mode is estimated by the boundary element method. The generated acoustic radiation forces counteracting gravity are approximated using Gor'kov potential and are modulated by varying the emitter oscillation amplitude. In addition, it is assumed that energy is dissipated by a drag force acting on the smooth sphere. By fitting the nonlinear conservative and dissipative forces, an analytical model was derived and analytically solved using the method of multiple scales. The analytical solution, in case of principal parametric resonance (PPR), predicts a softening behavior with a good agreement to the numerical simulations. Moreover, it predicts the existence of up to three solutions at a given frequency, where the trivial and a nontrivial solution are stable. In addition, experimental results of a levitated sphere made of polystyrene foam subjected to PPR are shown.",
keywords = "Acoustic levitation, Multiple scales, Parametric excitation",
author = "Amit Dolev and Izhak Bucher",
note = "Publisher Copyright: {\textcopyright} 2020 Nonlinear Dynamics of Structures, Systems and Devices - Proceedings of the 1st International Nonlinear Dynamics Conference, NODYCON 2019. All rights reserved.; 1st International Nonlinear Dynamics Conference, NODYCON 2019 ; Conference date: 17-02-2019 Through 20-02-2019",
year = "2020",
doi = "10.1007/978-3-030-34713-0\_37",
language = "الإنجليزيّة",
series = "Nonlinear Dynamics of Structures, Systems and Devices - Proceedings of the 1st International Nonlinear Dynamics Conference, NODYCON 2019",
publisher = "Springer Nature",
pages = "369--377",
editor = "Walter Lacarbonara and Balakumar Balachandran and Jun Ma and \{Tenreiro Machado\}, J.A. and Gabor Stepan",
booktitle = "Nonlinear Dynamics of Structures, Systems and Devices - Proceedings of the 1st International Nonlinear Dynamics Conference, NODYCON 2019",
address = "الولايات المتّحدة",
}