CN110443000A - A kind of Calculation of Oil Film Thickness method of lubricating pad tilting-type double square chamber hydrostatic thrust bearing - Google Patents

A kind of Calculation of Oil Film Thickness method of lubricating pad tilting-type double square chamber hydrostatic thrust bearing Download PDF

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Publication number
CN110443000A
CN110443000A CN201910751104.9A CN201910751104A CN110443000A CN 110443000 A CN110443000 A CN 110443000A CN 201910751104 A CN201910751104 A CN 201910751104A CN 110443000 A CN110443000 A CN 110443000A
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Prior art keywords
film thickness
oil film
lubricating pad
oil
thrust bearing
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CN201910751104.9A
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CN110443000B (en
Inventor
于晓东
袁腾飞
李代阁
郑旭航
曲航
伍矿鹏
王宇
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Harbin University of Science and Technology
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Harbin University of Science and Technology
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    • FMECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
    • F16ENGINEERING ELEMENTS AND UNITS; GENERAL MEASURES FOR PRODUCING AND MAINTAINING EFFECTIVE FUNCTIONING OF MACHINES OR INSTALLATIONS; THERMAL INSULATION IN GENERAL
    • F16CSHAFTS; FLEXIBLE SHAFTS; ELEMENTS OR CRANKSHAFT MECHANISMS; ROTARY BODIES OTHER THAN GEARING ELEMENTS; BEARINGS
    • F16C32/00Bearings not otherwise provided for
    • F16C32/06Bearings not otherwise provided for with moving member supported by a fluid cushion formed, at least to a large extent, otherwise than by movement of the shaft, e.g. hydrostatic air-cushion bearings
    • F16C32/0629Bearings not otherwise provided for with moving member supported by a fluid cushion formed, at least to a large extent, otherwise than by movement of the shaft, e.g. hydrostatic air-cushion bearings supported by a liquid cushion, e.g. oil cushion
    • FMECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
    • F16ENGINEERING ELEMENTS AND UNITS; GENERAL MEASURES FOR PRODUCING AND MAINTAINING EFFECTIVE FUNCTIONING OF MACHINES OR INSTALLATIONS; THERMAL INSULATION IN GENERAL
    • F16CSHAFTS; FLEXIBLE SHAFTS; ELEMENTS OR CRANKSHAFT MECHANISMS; ROTARY BODIES OTHER THAN GEARING ELEMENTS; BEARINGS
    • F16C32/00Bearings not otherwise provided for
    • F16C32/06Bearings not otherwise provided for with moving member supported by a fluid cushion formed, at least to a large extent, otherwise than by movement of the shaft, e.g. hydrostatic air-cushion bearings
    • F16C32/0681Construction or mounting aspects of hydrostatic bearings, for exclusively rotary movement, related to the direction of load
    • F16C32/0696Construction or mounting aspects of hydrostatic bearings, for exclusively rotary movement, related to the direction of load for both radial and axial load

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  • Engineering & Computer Science (AREA)
  • General Engineering & Computer Science (AREA)
  • Mechanical Engineering (AREA)
  • Sliding-Contact Bearings (AREA)
  • Magnetic Bearings And Hydrostatic Bearings (AREA)

Abstract

The invention discloses a kind of Calculation of Oil Film Thickness methods of lubricating pad tilting-type double square chamber hydrostatic thrust bearing, it can effectively solve the problems, such as the Calculation of Oil Film Thickness of lubricating pad tilting-type double square chamber hydrostatic thrust bearing, the present invention is using the method for substep superposition calculation to the axially inclined of lubricating pad tilting-type double square chamber hydrostatic thrust bearing, radial skew, flexible deformation is calculated separately, then it is superimposed the oil film thickness value that three kinds of numerical value obtain every bit, it is characterized in that the present invention carries out the calculating of oil film thickness by the way of substep superposition calculation, the oil film thickness range of lubricating pad tilting-type double square chamber hydrostatic thrust bearing is obtained by theoretical calculation, using small number of displacement sensor, obtain the thickness value of accurate hydrostatic support pressure film, the required number of sensors arranged can be reduced and respective location sensor is avoided to be difficult to The problem of installation effectively saves hardware and time cost.

Description

A kind of Calculation of Oil Film Thickness method of lubricating pad tilting-type double square chamber hydrostatic thrust bearing
Technical field
The present invention relates to the Calculation of Oil Film Thickness methods of lubricating pad tilting-type double square chamber hydrostatic thrust bearing, belong to static pressure branch Hold field.
Background technique
The lubricating pad of lubricating pad tilting-type double square chamber hydrostatic thrust bearing can generate the inclination of certain angle in operation, full Sufficient dynamic pressure formation condition is capable of forming the loss of dynamic pressure compensating static, improves operating of the hydrostatic bearing under high-speed overload operating condition Stability is frequently used for the processing of Large-Scale Equipment, the extensive favor by people.
Since lubricating pad tilting-type double square chamber hydrostatic thrust bearing can form certain inclination angle, make its every oil film thickness simultaneously It is unequal, and while studying lubricating pad tilting-type double square chamber hydrostatic thrust bearing, is frequently necessary to know the oil of multiple points or certain region Film thickness measures the sensor of oil film thickness due to the limitation of the conditions such as installation and bearing operation, can only install on specified point, The measurement for carrying out specified point, not can be carried out the measurement of optional point, can not carry out the measurement of the oil film thickness of a large amount of location points, Therefore, the oil film thickness for how calculating lubricating pad tilting-type double square chamber hydrostatic thrust bearing becomes current problem to be solved.
Summary of the invention
A kind of Calculation of Oil Film Thickness method of lubricating pad tilting-type double square chamber hydrostatic thrust bearing, it is characterised in that the present invention The calculating of oil film thickness is carried out by the way of substep superposition calculation, comprising the following steps:
(1) due to lubricating pad tilting-type double square chamber hydrostatic thrust bearing lubricating pad occur axially and radially small angle inclination with And flexible deformation to a certain degree, so oil film thickness includes oil film thickness at centre bearing, the radial skew oil at centre bearing Film thickness, peripheral, oblique angle oil film thickness and flexible deformation at centre bearing.
(2) lubricating pad does small angle inclination at its centre bearing, but at centre bearing oil film thickness not by radial and axial Inclined influence, is not also influenced by flexible deformation, and double square chamber hydrostatic thrust bearing oil pocket flow can be used flat when not tilting Row plate flow formula calculates.By parallel flat flow formula, it is derived from flow and oil film thickness relation formula:
In formula: Q is oil inlet total flow;P1For oil pocket pressure;h0For oil film thickness;L is single oil pocket long side length;l1 For single oil pocket long side oil sealing hem width degree, B is single oil pocket bond length;b1For single oil pocket short side oil sealing hem width degree;μ is liquid Pressure oil dynamic viscosity.
(3) available according to mathematical theory and theory of elastic mechanics
Oil film thickness at centre bearing:
hz=h0
The radial skew oil film thickness at central supported:
The peripheral, oblique oil film thickness at central supported:
Flexible deformation formula:
Oil film thickness are as follows:
H=hz+hr+hθ+hδ
It arranges:
Wherein:
In formula: hδLength for lubricating pad center away from shaft;δmaxFor lubricating pad maximum distortion deflection value;R2For lubricating pad maximum distortion The radius of point;H is the oil film thickness of lubricating pad tilting-type double square chamber hydrostatic thrust bearing;h0For oil film thickness at lubricating pad support;θ For polar coordinates element;γ is polar coordinates element;MrFor lubricating pad radial angular orientation;MθFor lubricating pad peripheral, oblique angle;It is wherein axial Inclination angle and radial rake can be obtained according to the difference of the oil film thickness sensor determination data for the specified point installed on lubricating pad.
The method that the present invention mainly uses substep superposition calculation carries out the calculating of oil film thickness, and it is double to solve lubricating pad tilting-type The computational problem of rectangular cavity hydrostatic thrust bearing oil film thickness.Allow to directly determine the model of oil film thickness by theoretical calculation Enclose and can calculate the oil film thickness range of random each point;The present invention can use small number of displacement sensor situation Under, the thickness value of accurate hydrostatic support pressure film is obtained, compared to the prior art scheme, is arranged needed for capable of reducing Number of sensors and respective location sensor are difficult to the problem installed, and effectively save hardware and time cost.
Detailed description of the invention
Attached drawing 1: the calculation flow chart of the method for the present invention
Attached drawing 2: lubricating pad tilting-type double square chamber hydrostatic thrust bearing three dimensional structure diagram
Attached drawing 3: the lubricating pad of lubricating pad tilting-type double square chamber hydrostatic thrust bearing and the structural schematic diagram of pedestal
Attached drawing 4: can incline lubricating pad tilt angle schematic diagram
Attached drawing 5: oil pocket intrinsic displacement sensor placement schematic diagram
Specific embodiment
The invention will be further described with specific embodiment with reference to the accompanying drawing:
The present embodiment illustrates specific implementation process of the invention by taking lubricating pad tilting-type double square chamber hydrostatic thrust bearing as an example:
(1) specific structure of lubricating pad tilting-type double square chamber hydrostatic thrust bearing is as shown in Fig. 2, each lubricating pad tilting-type is double The lubricating pad of rectangular cavity hydrostatic thrust bearing is fixed using the cooperations of two pin shafts and hole, and is gap-matched and is realized axis Lubricating pad run-off the straight in the running is held, meeting dynamic pressure formation condition makes it generate dynamic pressure, lubricating pad bottom and understructure such as Fig. 3 It is shown.
(2) since axially and radially small angle inclination can occur for the lubricating pad of lubricating pad tilting-type double square chamber hydrostatic thrust bearing And flexible deformation to a certain degree, so oil film thickness includes oil film thickness at centre bearing, the radial skew at centre bearing Oil film thickness, peripheral, oblique angle oil film thickness and flexible deformation at centre bearing.Lubricating pad tilting-type double square chamber static pressure pushes away The lubricating pad tilt angle of power bearing is as shown in Figure 4.
(3) lubricating pad does small angle inclination at its centre bearing, but at centre bearing oil film thickness not by radial and axial Inclined influence, is not also influenced by flexible deformation, and double square chamber hydrostatic thrust bearing oil pocket flow can be used flat when not tilting Row plate flow formula calculates.By parallel flat flow formula, it is derived from flow and oil film thickness relation formula.
In formula: Q is oil inlet total flow;P1For oil pocket pressure;h0For oil film thickness;L is single oil pocket long side length;l1 For single oil pocket long side oil sealing hem width degree, B is single oil pocket bond length;b1For single oil pocket short side oil sealing hem width degree;μ is liquid Pressure oil dynamic viscosity.
(4) available according to mathematical theory and theory of elastic mechanics
Oil film thickness at centre bearing:
hz=h0
The radial skew oil film thickness at central supported:
The peripheral, oblique oil film thickness at central supported:
Flexible deformation formula:
Oil film thickness are as follows:
H=hz+hr+hθ+hδ
It arranges:
Wherein:
In formula: hδLength for lubricating pad center away from shaft;δmaxFor lubricating pad maximum distortion deflection value;R2For lubricating pad maximum distortion The radius of point;H is the oil film thickness of lubricating pad tilting-type double square chamber hydrostatic thrust bearing;h0It is thick for oil film at lubricating pad central supported Degree;θ is polar coordinates element;γ is polar coordinates element;MrFor lubricating pad radial angular orientation;MθFor lubricating pad peripheral, oblique angle;Wherein The displacement sensor that axial inclination and radial rake can be measured according to the oil film thickness for the specified point installed on lubricating pad measures number According to difference obtain, as shown in Figure 5.
The foregoing is merely presently preferred embodiments of the present invention, is not intended to limit the invention, it is all in spirit of the invention and Any modifications, equivalent replacements, and improvements etc. done within principle, should all be included in the protection scope of the present invention.

Claims (2)

1. a kind of Calculation of Oil Film Thickness method of lubricating pad tilting-type double square chamber hydrostatic thrust bearing, it is characterised in that the present invention adopts The calculating of oil film thickness is carried out with the mode of substep superposition calculation, comprising the following steps:
(1) since axially and radially small angle inclination and one occurs for the lubricating pad of lubricating pad tilting-type double square chamber hydrostatic thrust bearing Degree of elasticity deformation is determined, so oil film thickness includes oil film thickness at centre bearing, radial skew oil film is thick at centre bearing Degree, peripheral, oblique angle oil film thickness and flexible deformation at centre bearing.
(2) lubricating pad does small angle inclination around the center of its lubricating pad, but at centre bearing oil film thickness not by radial and axial inclination Influence, also do not influenced by flexible deformation, double square chamber hydrostatic thrust bearing oil pocket flow can be with parallel flat when not tilting Plate flow formula calculates.By parallel flat flow formula, it is derived from flow and oil film thickness relation formula.
In formula: Q is oil inlet total flow;P1For oil pocket pressure;h0For oil film thickness;L is single oil pocket long side length;l1For list A oil pocket long side oil sealing hem width degree;B is single oil pocket bond length;b1For single oil pocket short side oil sealing hem width degree;μ is hydraulic oil Dynamic viscosity.
(3) available according to mathematical theory and theory of elastic mechanics
Oil film thickness at centre bearing:
hz=h0
The radial skew oil film thickness at central supported:
The peripheral, oblique oil film thickness at central supported:
Flexible deformation formula:
Oil film thickness are as follows:
H=hz+hr+hθ+hδ
It arranges:
Wherein:
In formula: hδLength for lubricating pad center away from shaft;δmaxFor lubricating pad maximum distortion deflection value;R2For lubricating pad maximum distortion point Radius;H is the oil film thickness of lubricating pad tilting-type double square chamber hydrostatic thrust bearing;h0For oil film thickness at lubricating pad support;θ is pole Coordinate element;γ is polar coordinates element;MrFor lubricating pad radial angular orientation;MθFor lubricating pad peripheral, oblique angle;Wherein axial inclination It can be obtained according to the difference of the oil film thickness sensor determination data for the specified point installed on lubricating pad with radial rake.
2. a kind of Calculation of Oil Film Thickness method of lubricating pad tilting-type double square chamber hydrostatic thrust bearing according to claim 1 It is characterized by: radial skew, flexible deformation carries out oil film thickness using the method for substep superposition calculation for axially inclined Calculating.
CN201910751104.9A 2019-08-13 2019-08-13 Oil film thickness calculation method for oil pad tilting type double-rectangular-cavity static pressure thrust bearing Active CN110443000B (en)

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Cited By (2)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN111060060A (en) * 2020-01-07 2020-04-24 哈尔滨理工大学 Experimental method for obtaining appearance of oil film of static and dynamic pressure mixed bearing gap under extreme working condition
CN111503141A (en) * 2020-04-21 2020-08-07 南京工程学院 Flow supply method based on sliding bearing static pressure loss

Citations (3)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN108563907A (en) * 2018-05-03 2018-09-21 哈尔滨理工大学 A kind of ramp type double square chamber hydrostatic thrust bearing dynamic pressure effect computational methods
CN108591260A (en) * 2018-05-03 2018-09-28 哈尔滨理工大学 A kind of ramp type double square lubricating pad bearing capacity computation method considering dynamic pressure effect
JP2018159462A (en) * 2017-03-24 2018-10-11 三菱重工業株式会社 Bearing pad for tilting pad bearing, tilting pad bearing, and rotary machine

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JP2018159462A (en) * 2017-03-24 2018-10-11 三菱重工業株式会社 Bearing pad for tilting pad bearing, tilting pad bearing, and rotary machine
CN108563907A (en) * 2018-05-03 2018-09-21 哈尔滨理工大学 A kind of ramp type double square chamber hydrostatic thrust bearing dynamic pressure effect computational methods
CN108591260A (en) * 2018-05-03 2018-09-28 哈尔滨理工大学 A kind of ramp type double square lubricating pad bearing capacity computation method considering dynamic pressure effect

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Cited By (2)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN111060060A (en) * 2020-01-07 2020-04-24 哈尔滨理工大学 Experimental method for obtaining appearance of oil film of static and dynamic pressure mixed bearing gap under extreme working condition
CN111503141A (en) * 2020-04-21 2020-08-07 南京工程学院 Flow supply method based on sliding bearing static pressure loss

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