Stability of vertical and horizontal axis Levitrons

Michaelis, M.M.; Taylor, D. B.

doi:10.1088/0143-0807/36/6/065003

Cited by 6 publications

(13 citation statements)

References 7 publications

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“…However, for the well-known Levitron magnetic device, it has been theoretically proven that stability may be achieved once the components of a magnetic bearing or system are in proper relative motion. (18,19) As shown in Fig. 6(a), the Levitron magnetic device, consisting of a permanent magnet that acts as a spinning top, can float in air around an equilibrium position above a heavy base made of a magnetized ceramic square slab.…”

Section: Analysis Of Stable Levitation Of Permanent Magnetic Bearing Under Dynamic Conditionmentioning

confidence: 99%

Levitation Stability of the Passive Magnetic Bearing in a Nutation Blood Pump

Chen¹,

Yao²,

Wang³

et al. 2021

Sensors and Materials

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Rotor stability is an important index of the performance of a magnetically levitated blood pump. In this study, we developed a novel nutation blood pump using a passive magnetic spherical bearing to achieve dynamic stability of a levitated rotor. The structure and working principle of the proposed blood pump are first introduced. A mathematical model based on the theory of equivalent magnetic charges is derived to calculate the axial and rotational stiffnesses of the passive magnetic spherical bearing. Furthermore, considering the gyro effect on the dynamic stability, an analytical expression for the gyroscopic moment of the nutating rotor is deduced. Finally, a prototype of a self-designed blood pump is fabricated, and a hydraulic experiment on the real-time levitation state is carried out. Experimental results obtained via different sensing components show that a continuous output flow rate of 5 L/min can be obtained against a pressure head of 100 mmHg at a rotational speed of 1600 rpm, and the output flow conditions are found to be stable at various pressures. In addition, it is found that the rotor becomes more stable with increasing rotational speed. The maximum fluctuation of the levitated gap is only 0.2 mm when the rotational speed of the rotor is 2300 rpm.

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Section: Analysis Of Stable Levitation Of Permanent Magnetic Bearing Under Dynamic Conditionmentioning

confidence: 99%

Levitation Stability of the Passive Magnetic Bearing in a Nutation Blood Pump

Chen¹,

Yao²,

Wang³

et al. 2021

Sensors and Materials

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show abstract

“…0 (14) This shows that at any time, the body rotates around an axis rotating around axis-z and orthogonal to it with an angle equal to φ. The vector X is sketched as ⃗ in Figure 2 in that configuration.…”

mentioning

confidence: 93%

“…In this solution, precession of the top has a similar role. A detailed analysis of this solution can be found here [14]. Superconductivity also allows to trap objects or obtain bound state directly by handling magnetic field belonging to the object known as flux pinning; however, classical physics does not cover this phenomenon.…”

Section: Introductionmentioning

confidence: 99%

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Polarity Free Magnetic Repulsion and Magnetic Bound State

Ucar¹

2021

Symmetry

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This is a report on a dynamic autonomous magnetic interaction which does not depend on polarities resulting in short ranged repulsion involving one or more inertial bodies and a new class of bound state based on this interaction. Both effects are new to the literature, found so far. Experimental results are generalized and reported qualitatively. Working principles of these effects are provided within classical mechanics and found consistent with observations and simulations. The effects are based on the interaction of a rigid and finite inertial body (an object having mass and moment of inertia) endowed with a magnetic moment with a cyclic inhomogeneous magnetic field which does not require to have a local minimum. Such a body having some degrees of freedom involved in driven harmonic motion by this interaction can experience a net force in the direction of the weak field regardless of its position and orientation or can find stable equilibrium with the field itself autonomously. The former is called polarity free magnetic repulsion and the latter is classified as a magnetic bound state. Experiments show that a bound state can be obtained between two free bodies having magnetic dipole moment as a solution of two-body problem. Various schemes of trapping bodies having magnetic moments by rotating fields are realized as well as rotating bodies trapped by a static dipole field in presence of gravity. Additionally, a special case of bound state called bipolar bound state between free dipole bodies is investigated.

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“…Another scheme is known as Levitron ® [10,11,12] and a variation called Horizontal Levitron [13]. In the original Levitron, a rotating dipole body around its dipole axis is levitated by a repulsive magnetic interaction having positive stiffness balanced by gravity and negative stiffness introduced in angular degrees of freedom is balanced by the positive dynamic stiffness caused by the rotation and precession of the body.…”

Section: Introductionmentioning

confidence: 99%

Polarity Free Magnetic Repulsion and Magnetic Bound State

Ucar¹

2020

Preprint

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This is a report on a dynamic autonomous magnetic interaction which does not depend on polarities resulting in short ranged repulsion involving one or more inertial bodies and a new class of bound state based on this interaction. Both effects are new to the literature, found so far. Experimental results are generalized and reported qualitatively. Working principles of these effects are provided within classical mechanics and found consistent with observations and simulations. The effects are based on the interaction of a rigid and finite inertial body (an object having mass and moment of inertia) endowed with a magnetic moment with a cyclic inhomogeneous magnetic field which does not require to have a local minimum. Such a body having some DoF involved in driven harmonic motion by this interaction can experience a net force in the direction of the weak field regardless of its position and orientation or can find stable equilibrium with the field itself autonomously. The former is called polarity free magnetic repulsion and the latter magnetic bound state. Experiments show that a bound state can be obtained between two free bodies having magnetic dipole moment. Various schemes of trapping bodies having magnetic moments by rotating fields are realized as well as rotating bodies trapped by a static dipole field in presence of gravity. Also, a special case of bound state called bipolar bound state between free dipole bodies is investigated.

show abstract

Stability of vertical and horizontal axis Levitrons

Cited by 6 publications

References 7 publications

Levitation Stability of the Passive Magnetic Bearing in a Nutation Blood Pump

Levitation Stability of the Passive Magnetic Bearing in a Nutation Blood Pump

Polarity Free Magnetic Repulsion and Magnetic Bound State

Polarity Free Magnetic Repulsion and Magnetic Bound State

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