Abstract:The importance to industry of non-contact bearings is growing rapidly as the demand for high-speed and high-precision manufacturing equipment increases. As a recently developed non-contact technology, near-field acoustic levitation (NFAL) has drawn much attention for the advantages it offers, including no requirement for an external pressurized air supply, its compact structure, and its ability to adapt to its environment. In this paper, the working mechanism of NFAL is introduced in detail and compared to all… Show more
“…Practical applicability of the present analysis is limited by the possibility of elastic deformations in the oscillating body that may be non-negligible in the analysis of the induced flow (see Shi et al 2019). Of particular interest beyond this study is the characterization of axisymmetric squeeze-film systems involving radially non-uniform driving oscillations h = h(r, t).…”
Section: Discussionmentioning
confidence: 99%
“…where h o a is the mean separation distance, ω is the angular frequency and εh o is the oscillation amplitude, with ε 1 in our study. Such slender-flow systems, commonly referred to as squeeze films, are of great interest in the context of gas lubricated bearings present in high-speed rotary machinery and also in acoustic levitation devices used in assembly line transport of microelectronics (see Shi et al 2019). In the former case of squeeze-film air bearings, there is great demand for predicting the load capacity, while in the latter, referred to as near-field acoustic levitation, the sensitivity of transported items additionally warrants comprehension of radial pressure departures p − p a from the outer ambient value p a .…”
Section: Introductionmentioning
confidence: 99%
“…The limit of large Stokes numbers α 2 1, where the flow is nearly inviscid outside thin near-wall boundary layers, has been the subject of widespread interest in the context of acoustic levitation, which typically concerns the suspension of light objects in the antinodes of standing pressure waves between a vibrating piston and a reflector plate separated by an integral multiple of the half-wavelength of sound (see Shi et al 2019). In 1902, Lord Rayleigh presented a foundational formulation of acoustic radiation inside a cylindrical piston of air undergoing transverse vibrations, expressing the overpressure in terms of the volumetric energy density (see Rayleigh 1902).…”
This paper investigates the air flow induced by a rigid circular disk or piston vibrating harmonically along its axis of symmetry in the immediate vicinity of a parallel surface. Previous attempts to characterize these so-called ‘squeeze-film’ systems largely relied on simplifications afforded by neglecting either fluid acceleration or viscous forces inside the thin enclosed gas layer. The present viscoacoustic analysis employs the asymptotic limit of small vibration amplitudes to investigate the flow by systematic reduction of the Navier–Stokes equations in two distinct flow regions, namely, the inner gaseous film where streamlines are nearly parallel to the confining walls and the near-edge region of non-slender flow that features gas exchange with the surrounding stagnant atmosphere. The flow in the gaseous film depends on the relevant Stokes number, defined as the ratio of the characteristic viscous time across the film to the characteristic oscillation time, and on a compressibility parameter, defined as the square of the ratio of the acoustic time for radial pressure equilibration to the oscillation time. A Strouhal number based on the local residence time emerges as an additional governing parameter for the near-edge region, which is incompressible at leading order. The method of matched asymptotic expansions is used to describe the solution in both regions, across which the time-averaged pressure exhibits comparable variations that give opposing contributions to the resulting time-averaged force experienced by the disk or piston. A diagram structured with the Stokes number and compressibility parameter as coordinates reveals that this steady squeeze-film force, typically repulsive for small values of the Stokes number, alternates to attraction across a critical separation contour in the parametric domain that exists for all Strouhal numbers. This analysis provides, for the first time, a unifying viscoacoustic theory of axisymmetric squeeze films, which yields a reduced parametric description for the time-averaged repulsion/attraction force that is potentially useful in applications including non-contact fluid bearings and robot locomotion.
“…Practical applicability of the present analysis is limited by the possibility of elastic deformations in the oscillating body that may be non-negligible in the analysis of the induced flow (see Shi et al 2019). Of particular interest beyond this study is the characterization of axisymmetric squeeze-film systems involving radially non-uniform driving oscillations h = h(r, t).…”
Section: Discussionmentioning
confidence: 99%
“…where h o a is the mean separation distance, ω is the angular frequency and εh o is the oscillation amplitude, with ε 1 in our study. Such slender-flow systems, commonly referred to as squeeze films, are of great interest in the context of gas lubricated bearings present in high-speed rotary machinery and also in acoustic levitation devices used in assembly line transport of microelectronics (see Shi et al 2019). In the former case of squeeze-film air bearings, there is great demand for predicting the load capacity, while in the latter, referred to as near-field acoustic levitation, the sensitivity of transported items additionally warrants comprehension of radial pressure departures p − p a from the outer ambient value p a .…”
Section: Introductionmentioning
confidence: 99%
“…The limit of large Stokes numbers α 2 1, where the flow is nearly inviscid outside thin near-wall boundary layers, has been the subject of widespread interest in the context of acoustic levitation, which typically concerns the suspension of light objects in the antinodes of standing pressure waves between a vibrating piston and a reflector plate separated by an integral multiple of the half-wavelength of sound (see Shi et al 2019). In 1902, Lord Rayleigh presented a foundational formulation of acoustic radiation inside a cylindrical piston of air undergoing transverse vibrations, expressing the overpressure in terms of the volumetric energy density (see Rayleigh 1902).…”
This paper investigates the air flow induced by a rigid circular disk or piston vibrating harmonically along its axis of symmetry in the immediate vicinity of a parallel surface. Previous attempts to characterize these so-called ‘squeeze-film’ systems largely relied on simplifications afforded by neglecting either fluid acceleration or viscous forces inside the thin enclosed gas layer. The present viscoacoustic analysis employs the asymptotic limit of small vibration amplitudes to investigate the flow by systematic reduction of the Navier–Stokes equations in two distinct flow regions, namely, the inner gaseous film where streamlines are nearly parallel to the confining walls and the near-edge region of non-slender flow that features gas exchange with the surrounding stagnant atmosphere. The flow in the gaseous film depends on the relevant Stokes number, defined as the ratio of the characteristic viscous time across the film to the characteristic oscillation time, and on a compressibility parameter, defined as the square of the ratio of the acoustic time for radial pressure equilibration to the oscillation time. A Strouhal number based on the local residence time emerges as an additional governing parameter for the near-edge region, which is incompressible at leading order. The method of matched asymptotic expansions is used to describe the solution in both regions, across which the time-averaged pressure exhibits comparable variations that give opposing contributions to the resulting time-averaged force experienced by the disk or piston. A diagram structured with the Stokes number and compressibility parameter as coordinates reveals that this steady squeeze-film force, typically repulsive for small values of the Stokes number, alternates to attraction across a critical separation contour in the parametric domain that exists for all Strouhal numbers. This analysis provides, for the first time, a unifying viscoacoustic theory of axisymmetric squeeze films, which yields a reduced parametric description for the time-averaged repulsion/attraction force that is potentially useful in applications including non-contact fluid bearings and robot locomotion.
“…Near-field acoustic levitation (NFAL) is the phenomenon that occurs when the levitated plate is suspended by the force caused by the squeeze motion of the vibrator. NFAL has been applied in several industrial components such as bearing, 12 motor, 13 non-contact transportation system, 14,15 because of its compact structure, no requirements for materials and stable levitation. Ultrasonic levitation bearing based on NFAL has been studied by researchers from various aspects.…”
The load capacity of ultrasonic levitation bearing has become an important factor limiting its practical application in engineering, due to which the load capacity is very small compared to that of other gas bearing. In order to obtain greater load capacity, surface texture is introduced into ultrasonic levitation bearing in this study. A theoretical model considering the geometry parameters and mode shape is established to obtain the running performance of surface-textured ultrasonic levitation bearing, which is solved by using eight-point discrete grid finite-difference method. Influence of driving voltage, rotational speed, eccentricity ratio, texture position, and texture size parameters on load capacity is investigated systematically. Previous experimental results were used to verify the feasibility of the proposed model. The results show that positive texture can effectively improve the load capacity of ultrasonic levitation bearing, especially under ultrasonic levitation mode. Research results are instructive for understanding the lubrication mechanism of ultrasonic levitation bearing and further promote the practical application of the bearing in engineering.
“…The accuracy and efficiency of numerical solution is the key part of bearing performance analysis and optimal design. 2,3 In the reported literatures related to numerical method for calculating the lubrication equation of aerostatic bearings with orifice restrictor, many researches concentrate on the computational fluid dynamics (CFD) method such as finite element method (FEM), finite difference method (FDM) and finite volume method (FVM). [4][5][6] Based on the powerful commercial software, such as FLUENT and CFX, CFD method has great advantages in modeling convenience, calculation accuracy and micro flow visualization.…”
This paper puts forward a simplified FEM based on MATLAB PDE tool to investigate the static performance of aerostatic journal bearings. The pressure distribution equation is transformed into a standard elliptic equation, the boundary conditions and coefficients of the transformed equation are also confirmed by contrasting it with the standard elliptic equation. Then the effects of bearings structural parameters and external supply pressure on the film pressure distribution, load capacity and static stiffness are studied. The film pressure distribution changes significantly with the eccentricity ratio, and an eccentricity range corresponding to the optimal stiffness is also confirmed. Finally, an experimental platform with reversal structure is applied to reduce the measurement error, the maximum relative error between the results of simulation and experimental result is 11.54%.
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