Abstract

It is possible to levitate a mass by vibrating a flat disk located under the mass. This near-field acoustic levitation is particularly useful for eliminating friction between moving objects. This paper presents an experimental and theoretical study of the dynamic behavior of a levitating mass for different magnitudes of oscillation of the flat disk. The magnitude of the vibration of the mass appears to be independent of the amplitude of the vibration of the disk over a range of two orders of magnitude. This unusual behavior is due to the simultaneous changes of the stiffness of the air film and the natural frequency of the system as the plate vibration is changed. As the plate oscillation is reduced, the distance to resonance decreases, allowing an increase of the ratio of the output to input signals in such a way that the output remains constant. This result can be useful for improving the energy efficiency of the levitation.

References

1.
Strogatz
,
S. H.
,
2018
,
Nonlinear Dynamics and Chaos With Student Solutions Manual: With Applications to Physics, Biology, Chemistry, and Engineering
,
CRC Press
,
Boca Raton, FL
.
2.
Brandt
,
E.
,
1989
, “
Levitation in Physics
,”
Science
,
243
(
4889
), pp.
349
355
.
3.
Vandaele
,
V.
,
Lambert
,
P.
, and
Delchambre
,
A.
,
2005
, “
Non-Contact Handling in Microassembly: Acoustical Levitation
,”
Precis. Eng.
,
29
(
4
), pp.
491
505
.
4.
Xie
,
W.
,
Cao
,
C.
,
,
Y.
, and
Wei
,
B.
,
2002
, “
Levitation of Iridium and Liquid Mercury by Ultrasound
,”
Phys. Rev. Lett.
,
89
(
10
), p.
104304
.
5.
Ueha
,
S.
,
Hashimoto
,
Y.
, and
Koike
,
Y.
,
2000
, “
Non-Contact Transportation Using Near-Field Acoustic Levitation
,”
Ultrasonics
,
38
(
1
), pp.
26
32
.
6.
Gabay
,
R.
, and
Bucher
,
I.
,
2006
, “
Resonance Tracking in a Squeeze-Film Levitation Device
,”
Mech. Syst. Signal Process.
,
20
(
7
), pp.
1696
1724
.
7.
Stolarski
,
T.
,
2006
, “
Self-Lifting Contacts: From Physical Fundamentals to Practical Applications
,”
Proc. Inst. Mech. Eng. Part C: J. Mech. Eng. Sci.
,
220
(
8
), pp.
1211
1218
.
8.
Ilssar
,
D.
, and
Bucher
,
I.
,
2017
, “
The Effect of Acoustically Levitated Objects on the Dynamics of Ultrasonic Actuators
,”
J. Appl. Phys.
,
121
(
11
), p.
114504
.
9.
Bao
,
M.
, and
Yang
,
H.
,
2007
, “
Squeeze Film Air Damping in MEMS
,”
Sens. Actuators A
,
136
(
1
), pp.
3
27
.
10.
Andrews
,
M.
,
Harris
,
I.
, and
Turner
,
G.
,
1993
, “
A Comparison of Squeeze-Film Theory With Measurements on a Microstructure
,”
Sens. Actuators A
,
36
(
1
), pp.
79
87
.
11.
Blech
,
J.
,
1983
, “
On Isothermal Squeeze Films
,”
ASME J. Lubr. Tech.
,
105
(
4
), pp.
615
620
.
12.
Crandall
,
I. B.
,
1918
, “
The Air-Damped Vibrating System: Theoretical Calibration of the Condenser Transmitter
,”
Phys. Rev.
,
11
(
6
), pp.
449
460
.
13.
Huang
,
S.
,
Borca-Tasciuc
,
D.-A.
, and
Tichy
,
J.
,
2014
, “
Limits of Linearity in Squeeze Film Behavior of a Single Degree of Freedom Microsystem
,”
Microfluid. Nanofluid.
,
16
(
6
), pp.
1155
1163
.
14.
Brunetiere
,
N.
,
Blouin
,
A.
, and
Kastane
,
G.
,
2018
, “
Conditions of Lift-Off and Film Thickness in Squeeze Film Levitation
,”
ASME J. Tribol.
,
140
(
3
), p.
031705
.
15.
Brunetière
,
N.
, and
Wodtke
,
M.
,
2020
, “
Considerations About the Applicability of the Reynolds Equation for Analyzing High-Speed Near Field Levitation Phenomena
,”
J. Sound Vib.
,
483
, p.
115496
.
You do not currently have access to this content.