A Simulation Study for the Design of Membrane Restrictor in an Opposed-Pad Hydrostatic Bearing to Achieve High Static Stiffness

Lai, Ta-Hua; Lin, Shih-Chieh

doi:10.3390/lubricants6030071

Cited by 8 publications

(6 citation statements)

References 11 publications

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“…In previous studies [16,17], it was shown that a high-static stiffness bearing system could be achieved if membrane restrictors were properly designed. The dimensionless stiffness of the membrane K * r and the design restriction ratio λ are the two key parameters for membrane-restrictor design.…”

Section: Introductionmentioning

confidence: 99%

Design and Performance Analysis of Dual Membrane Restrictor for Hydrostatic Bearing

Lin

et al. 2022

Lubricants

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In this paper, a dual membrane restrictor design was proposed to improve the stiffness performance of the compensated hydrostatic bearing. Theoretical models for the proposed dual membrane restrictors were derived. Analysis of these models showed that a high stiffness region could be achieved at the desired loading region through the proper selection of the design parameters. A series of simulations were conducted to study the variations in the design parameters on the stiffness and clearance variations. It was found that the dimensionless membrane stiffness in the inlet restrictor, Kmi*, was the most dominant parameter for the performance of the compensated bearing system. The main advantages of the proposed dual membrane restrictor are the increase in flexibility by providing high stiffness at the desired loading region; and improving the stiffness performance of the bearing system especially at the desired loading region.

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Section: Introductionmentioning

confidence: 99%

Design and Performance Analysis of Dual Membrane Restrictor for Hydrostatic Bearing

Lin

et al. 2022

Lubricants

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“…On this basis, variable restrictors, including diaphragm-type and spool-type restrictor, 7–9 are proposed for making up this shortcoming and obtaining relatively large gas film stiffness. 10,11…”

Section: Introductionmentioning

confidence: 99%

“…On this basis, variable restrictors, including diaphragm-type and spool-type restrictor, [7][8][9] are proposed for making up this shortcoming and obtaining relatively large gas film stiffness. 10,11 Many scholars have conducted a lot of research on diaphragm-type restrictor. Kang et al 9,12 analyzed the static stiffness of hydrostatic bearing with two typical variable throttle devices: diaphragm-type and spooltype restrictor, and discussed the influence rule of throttle structure parameters on its performance.…”

Section: Introductionmentioning

confidence: 99%

Fluid-structure coupling model and output characteristics of a diaphragm-type restrictor

Cai

Jiang

Meng

et al. 2022

Advances in Mechanical Engineering

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The film stiffness of gas-lubricated hydrostatic bearings and seals are considered to be enhanced remarkably by proper design of a diaphragm-type restrictor. A fluid-structure coupling numerical model by coupling iteration of small deflection bending differential equation of circular thin plate and one-dimensional Reynolds equation was established, and the influence of different parameters, including pressure and geometrical parameters, on the flow output characteristics of a diaphragm-type restrictor was investigated numerically and experimentally. The results show that the correctness of established fluid-structure coupling numerical model is verified well by comparing calculated values of diaphragm deformation and output flow characteristics to the measured values. The optimum values of diaphragm thickness is 0.6–0.8 mm and initial throttle clearance is 20–35 μm for stable operation of diaphragm-type restrictor, while the optimum value of back pressure strongly depends on the diaphragm thickness.

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“…Nonlinear mathematical models are proposed, and a comparison analysis is performed under different types of control inputs for the active hydrostatic thrust bearing [16]. The performance of the opposed pad hydrostatic bearing is improved by using a membrane-type hydrostatic restrictor [17]. The H loop and inner loop methods are used for stabilizing the shaft and reducing vibrations [18,19].…”

Section: Introductionmentioning

confidence: 99%

Model-Based Design Approach to Improve Performance Characteristics of Hydrostatic Bearing Using Multivariable Optimization

et al. 2021

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Research in the field of tribo-mechatronics has been gaining popularity in recent decades. The objective of the current research is to improve static/dynamics characteristics of hydrostatic bearings. Hydrostatic bearings always work in harsh environmental conditions that effect their performance, and which may even result in their failure. The current research proposes a mathematical model-based system for hydrostatic bearings that helps to improve its static/dynamic characteristics under varying conditions of performance-influencing variables such as temperature, spindle speed, external load, and clearance gap. To achieve these objectives, the capillary restrictors are replaced with servo valves, and a mathematical model is developed along with robust control design systems. The control system consists of feedforward and feedback control techniques that have not been applied before for hydrostatic bearings in the published literature. The feedforward control tries to remove a disturbance before it enters the system while feedback control achieves the objective of disturbance rejection and improves steady-state characteristics. The feedforward control is a trajectory-based controller and the feedback controller is a sliding mode controller with a PID sliding surface. The particle swarm optimization algorithm is used to tune the 6-dimensional vector of the tuning parameters with multi-objective performance criteria. Numerical investigations have been carried out to check the performance of the proposed system under varying conditions of viscosity, clearance gap, external load and the spindle speed. The comparison of our results with the published literature shows the effectiveness of the proposed system.

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A Simulation Study for the Design of Membrane Restrictor in an Opposed-Pad Hydrostatic Bearing to Achieve High Static Stiffness

Cited by 8 publications

References 11 publications

Design and Performance Analysis of Dual Membrane Restrictor for Hydrostatic Bearing

Design and Performance Analysis of Dual Membrane Restrictor for Hydrostatic Bearing

Fluid-structure coupling model and output characteristics of a diaphragm-type restrictor

Model-Based Design Approach to Improve Performance Characteristics of Hydrostatic Bearing Using Multivariable Optimization

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