Lumped parameters models of rectangular pneumatic pads: Static analysis

Colombo, Federico; Raparelli, Terenziano; Trivella, Andrea; Viktorov, Vladimir

doi:10.1016/j.precisioneng.2015.06.003

Cited by 20 publications

(7 citation statements)

References 37 publications

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“…These coefficients could be inserted in lumped parameters models of gas bearings [22][23][24] to evaluate their increased stability thanks to the use of the O-rings.…”

Section: Introductionmentioning

confidence: 99%

Dynamic Characterization of Rubber O-Rings: Squeeze and Size Effects

Al‐Bender

Colombo

Reynaerts

et al. 2017

Advances in Tribology

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This paper concerns the dynamic characterization of rubber O-rings used to introduce damping in high speed gas bearing systems. O-shaped rubber rings composed of high temperature rubber compounds are characterized in terms of stiffness and damping coefficients in the frequency range 100-800 Hz. Simple formulas with frequency independent coefficients were identified to express the viscoelastic properties of the O-rings. The formulas proposed approximate the stiffness and damping coefficients of O-rings of general size.

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“…These coefficients could be inserted in lumped parameters models of gas bearings [22][23][24] to evaluate their increased stability thanks to the use of the O-rings.…”

Section: Introductionmentioning

confidence: 99%

Dynamic Characterization of Rubber O-Rings: Squeeze and Size Effects

Al‐Bender

Colombo

Reynaerts

et al. 2017

Advances in Tribology

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“…Their performance is significantly affected by many factors such as machining tolerances, 6 configuration structure, 7,8 feed system type, 9–13 bearing geometrical and operational parameters, 14–18 and grooves. 19–28 . In this part, the literature with respect to the static performance of aerostatic bearings with grooves 19–28 is reviewed briefly.…”

Section: Introductionmentioning

confidence: 99%

“…19–28 . In this part, the literature with respect to the static performance of aerostatic bearings with grooves 19–28 is reviewed briefly.…”

Section: Introductionmentioning

confidence: 99%

Static performance of the aerostatic journal bearing with grooves

Chen

Mills

Bao

2019

Proceedings of the Institution of Mechanical Engineers, Part J:

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Aerostatic bearings are widely employed in precision machines due to their properties of low friction, low heat conduction, and long-life operation. In this work, static performance of the journal bearing with rectangular grooves is investigated numerically. The effect of geometrical parameters such as axial groove length [Formula: see text], circumferential groove length [Formula: see text], orifice diameter df, groove depth gh, misalignment angles [Formula: see text] and [Formula: see text] on the load capacity [Formula: see text], stiffness [Formula: see text], and gas flow rate [Formula: see text] are analyzed systematically. The resistance network method (RNM) is utilized to solve the Reynolds equation required in the analysis. Performance parameters including pressure distribution P, load force [Formula: see text], stiffness [Formula: see text], and gas flow rate [Formula: see text] are examined in the simulations. It is revealed from the simulations that the proper value of axial groove length [Formula: see text] to obtain a better static performance varies from 1/8 to 1/2 when df varies between 0.11 and 0.29 mm, respectively. Therefore, a larger load force and stiffness can be obtained if [Formula: see text] is chosen to be 1/4, when diameter of the bearing orifice df equals 0.17 mm. It is also suggested that [Formula: see text] be chosen from the range of 1/6 and 1/3 to obtain a better static performance and a smaller gas flow rate. [Formula: see text] decreases with an increase in df when [Formula: see text] is set to be 1/8. However, the load force [Formula: see text] increases with an increase in df when [Formula: see text] varies from 3/8 to 1/2. [Formula: see text] has a significant influence on the changes of [Formula: see text] with df when [Formula: see text] is set to be constant. Therefore, df should be selected according to [Formula: see text] for an optimal design. The increase of misalignment angle [Formula: see text] leads to an increase in the load force [Formula: see text]. [Formula: see text] has little influence on the load force [Formula: see text]. Misalignment angles [Formula: see text] and [Formula: see text] have little influence on stiffness [Formula: see text] and gas flow rate [Formula: see text]. Therefore, it is preferable if [Formula: see text] is larger than 0 rad.

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“…Li and Ding (2012) described a simplified performance calculation method of aerostatic thrust bearings with multiple pocketed orifice-type restrictors. Colombo et al (2015) developed a lumped parameters model of a rectangular pneumatic pad to perform static analysis. Analytical models of flow can only be used for a few simple bearing geometries.…”

Section: Introductionmentioning

confidence: 99%

Root iterative method for static performance analysis of aerostatic thrust bearings with multiple pocketed orifice-type restrictors based on ANSYS

Qiao

Xue

et al. 2019

ILT

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Purpose The purpose of this paper is to present a novel numerical approach to analyze the static performance of aerostatic thrust bearings by adopting a general finite element method calculation program. Design/methodology/approach The characteristics of a gas film are described by the Reynolds equation and the pressure distribution is solved using the finite element method. A root iterative method is proposed to meet the requirement of the mass-conservation law because multiple pocketed orifice-type restrictors are treated as a series of special boundary conditions. Findings The static performance of a rotary table using aerostatic thrust bearings, including load carrying capacity and stiffness, can be predicted by the method; moreover, it can be further confirmed through experiments on the designed rotary table. Originality/value The method combining the finite element and root iterative methods is highly accurate and has a low time-cost for analyzing aerostatic thrust bearings with multiple pocketed orifice-type restrictors.

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Lumped parameters models of rectangular pneumatic pads: Static analysis

Cited by 20 publications

References 37 publications

Dynamic Characterization of Rubber O-Rings: Squeeze and Size Effects

Dynamic Characterization of Rubber O-Rings: Squeeze and Size Effects

Static performance of the aerostatic journal bearing with grooves

Root iterative method for static performance analysis of aerostatic thrust bearings with multiple pocketed orifice-type restrictors based on ANSYS

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