Rigid body dynamics of diamagnetically levitating graphite resonators

Rigid body dynamics of diamagnetically levitating graphite resonators

Chen, X. (TU Delft Dynamics of Micro and Nano Systems)
Keşkekler, A. (TU Delft Dynamics of Micro and Nano Systems)
Alijani, F. (TU Delft Dynamics of Micro and Nano Systems)
Steeneken, P.G. (TU Delft Dynamics of Micro and Nano Systems; TU Delft QN/Steeneken Lab; Kavli institute of nanoscience Delft)

2020

Diamagnetic levitation is a promising technique for realizing resonant sensors and energy harvesters since it offers thermal and mechanical isolation from the environment at zero power. To advance the application of diamagnetically levitating resonators, it is important to characterize their dynamics in the presence of both magnetic and gravitational fields. Here we experimentally actuate and measure rigid body modes of a diamagnetically levitating graphite plate. We numerically calculate the magnetic field and determine the influence of magnetic force on the resonance frequencies of the levitating plate. By analyzing damping mechanisms, we conclude that eddy current damping dominates dissipation in mm-sized plates. We use finite element simulations to model eddy current damping and find close agreement with experimental results. We also study the size-dependent Q-factors (Qs) of diamagnetically levitating plates and show that Qs above 100 million are theoretically attainable by reducing the size of the diamagnetic resonator down to microscale, making these systems of interest for next generation low-noise resonant sensors and oscillators.

Carbon based materials
Magnetic fields
Eddy current
Rigid body dynamics
Diamagnetic materials
Finite-element analysis

http://resolver.tudelft.nl/uuid:d9250396-6a00-41f9-a349-abdf1003f35a

https://doi.org/10.1063/5.0009604

2021-06-16

0003-6951

Applied Physics Letters, 116 (24)

Institutional Repository

journal article

© 2020 X. Chen, A. Keşkekler, F. Alijani, P.G. Steeneken