A Simplified Model for the Secular Dynamics of a Parametrically-Excited Magnetic Micro-Particle

Aditya, S and Jayanth, GR and Mohanty, AK (2023) A Simplified Model for the Secular Dynamics of a Parametrically-Excited Magnetic Micro-Particle. In: 6th International Conference on Manipulation, Automation, and Robotics at Small Scales, MARSS 2023, 9 - 13 October 2023, Abu Dhabi.

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Abstract

Magnetic micro-particles find numerous applications as the end-effectors in micro-manipulation technologies. A recent micro-manipulation technology proposed the use of micro-ring actuators and parametric excitation to trap magnetic particles in three-dimensions (3-D). Here, a simplified linear time-invariant system model is proposed to describe the secular dynamics of such particles. First, the exact dynamic equations are obtained for the case of a particle oriented upwards and the procedure to obtain their approximate solution is described. The obtained approximate response is employed to subsequently propose a simple linear time-invariant system model for the secular dynamics of the particle. Next, the same approach is extended for the case of a magnetic particle with arbitrary orientation. In both cases the results of the simplified model are compared with numerical solutions of the exact system equations. The two are found to match with an accuracy of over 99.6. © 2023 IEEE.

Item Type:	Conference Paper
Publication:	Proceedings of MARSS 2023 - 6th International Conference on Manipulation, Automation, and Robotics at Small Scales
Publisher:	Institute of Electrical and Electronics Engineers Inc.
Additional Information:	The copyright for this article belongs to Institute of Electrical and Electronics Engineers Inc.
Keywords:	Dynamics; Invariance; Time varying control systems, Linear time-invariant system; Magnetic micro particles; Magnetic particle; Manipulation technologies; Micro manipulation; Microrings; Parametric excitations; Ring actuators; Three dimensions; Time-invariant system models, Linear time-invariant system
Department/Centre:	Division of Physical & Mathematical Sciences > Instrumentation Appiled Physics
Date Deposited:	29 Feb 2024 10:21
Last Modified:	29 Feb 2024 10:21
URI:	https://eprints.iisc.ac.in/id/eprint/83818

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