CN104965946A - Finite element calculation method for steady temperature field of high-speed railway bearing - Google Patents
Finite element calculation method for steady temperature field of high-speed railway bearing Download PDFInfo
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- CN104965946A CN104965946A CN201510366935.6A CN201510366935A CN104965946A CN 104965946 A CN104965946 A CN 104965946A CN 201510366935 A CN201510366935 A CN 201510366935A CN 104965946 A CN104965946 A CN 104965946A
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Abstract
The present invention discloses a finite element calculation method for a steady temperature field of a high-speed railway bearing. The method comprises: first, selecting a two-rowed conical roller bearing for a high-speed railway as a study object, and establishing a two-dimensional model in solidwork software; second, establishing a bearing system heat transfer model and replacing the heat dissipation of a bearing seat, a bearing and a shaft with heat flow quantity according to a work condition and a bearing system parameter of the high-speed railway bearing; loading a convection heat dissipation coefficient of the bearing seat, the bearing and the shaft relative to the bearing on a work surface, and furthermore, converting a study on a temperature field of a bearing system into a study on the temperature field of a bearing assembly; then, calculating a heating amount of the bearing according to a bearing friction torque; then calculating an air convection heat transfer coefficient, convection coefficients of the shaft and the bearing, a lubricant convection coefficient and a convection heat transfer coefficient of the outer surface of the bearing seat; then calculating external heat dissipating quantity; and finally, establishing a finite element model of the high-speed railway bearing and allocating heat sources.
Description
Technical field
The present invention relates to high ferro bearing computing method field, specifically a kind of finite element method of high ferro bearing Steady-State Thermal Field.
Background technology
Bullet train axle box bearing is the important foundation parts of high-speed railway.Compared with other industrial bearings, bullet train axle box bearing more emphasizes the research of security technique.Under the operating mode of high speed, heavy duty, temperature rise and temperature distribution state directly affect serviceability, the serviceable life of main shaft-bearing system, and even the safe operation of full car.
Along with the development of bearing material, under high temperature, the inefficacy of lubricant has become the bottleneck in restriction bearing serviceable life and stability.Thermoanalytical status highlights day by day, but correlative study both at home and abroad can not show a candle to quiet, dynamics research is ripe.Thus the design and R&D important in inhibiting of temperature field for high ferro bearing of high ferro bearing is analyzed.
Heat of friction under bearing runs up and Temperature Distribution calculate very complicated, and the Heating mechanism coming from bearing is on the one hand very complicated, and the heat transfer and the radiation processes that come from bearing are on the other hand uncertain.Pertinent literature both domestic and external is less, in general often uses hot-fluid network technique or finite element method.The hot-fluid network technique such as Pouly and Nicolas analyzes the distribution of bearing steady temperature, but hot-fluid network technique needs to solve a large amount of equations, and can only obtain the discrete data of bearing temperature.Finite element method have dividing elements flexibly, finite element model and the feature such as structural model is unified, and the distribution of part bulk temperature can be solved.If but consider that oil film is on the impact of bearing, finite element analysis is carried out again after then first must simulating the kinetic characteristic of lubricant in fluid analysis software is as FLUENT, the stress and strain model of oil film very easily causes oil film to penetrate, and huge calculated amount adds the working time again undoubtedly.In addition, utilizing finite element method to carry out in the process of numerical simulation to bearing temperature field, thermal source solve the definition etc. with allocation scheme, edge-restraint condition, be several key issues that researchist needs deep understanding and resolves.
Summary of the invention
The object of this invention is to provide a kind of finite element method of high ferro bearing Steady-State Thermal Field, to solve prior art Problems existing.
In order to achieve the above object, the technical solution adopted in the present invention is:
A finite element method for high ferro bearing Steady-State Thermal Field, is characterized in that: comprise the following steps:
(1), with double-row conical bearing used for high-speed railway for research object, in solidwork software, two dimensional model is set up;
(2) bearing arrangement heat transfer model, is set up, according to operating mode and the bearing arrangement parameter of high ferro bearing, the heat radiation of bearing seat, bearing, axle is replaced by heat flux, bearing seat, axle and oil film are loaded on working surface relative to the heat loss through convection coefficient of bearing, and then the Study on Temperature Field of bearing arrangement is converted into the Study on Temperature Field to bearing assembly;
(3), calculation bearing thermal value is carried out according to bearing frictional torque;
(4), the cross-ventilation coefficient of heat transfer is calculated, the convection coefficient of axle and bearing, lubricant convection coefficient, the convection transfer rate of bearing seat outside surface;
(5), extraneous heat dissipation capacity is calculated;
(6), set up the finite element model of high ferro bearing, and distribute thermal source and solve, obtain the Numerical Simulation Results of Steady-State Thermal Field.
The finite element method of described a kind of high ferro bearing Steady-State Thermal Field, it is characterized in that: in step (2), the heat transfer model of bearing arrangement is the heat transfer model of bearing seat, outer ring, taper roller, inner ring, tubular shaft, air, oil film.
The finite element method of described a kind of high ferro bearing Steady-State Thermal Field, is characterized in that: in step (3), bearing heating amount is calculated as:
H
tot=1.047×10
-4nM,
Wherein, n is rotating speed, M=M
r+ M
a+ M
v,
M
rfor only having the moment of friction of radial load, computing formula is:
M
r=3.35×10
-6G(nν
0)
1/2(f
tF
r/K)
1/3,
M
afor the moment of friction of axial load, computing formula is:
M
a=3.35×10
-6G(nν
0)
1/3F
a 1/3,
M
vfor the viscous friction moment that lubricant causes, computing formula is:
Wherein, G is sliding friction variable, and n is rotating speed, ν
0for lubricant kinematic viscosity under working temperature, f
rfor friction factor, F
rfor radial load size, K is bearing type constant, F
afor axial load size, f
0for friction factor, d
mfor the mean diameter of bearing;
The finite element method of described a kind of high ferro bearing Steady-State Thermal Field, it is characterized in that: in step (5), extraneous heat dissipation capacity computing formula is:
Q=2πλlΔt/In(d
2/d
1),
Wherein, λ is the thermal conductivity of material, and l is bearing seat length, and Δ t is temperature variation, d
2for bearing seat external diameter; d
1for warp in bearing seat.
The finite element method of described a kind of high ferro bearing Steady-State Thermal Field, it is characterized in that: in step (6), the finite element model of high ferro bearing adopts free mesh, contact area local refinement between roller and Internal and external cycle, heating part between roller and Internal and external cycle adopts face load, boundary condition is thermal convection, and Internal and external cycle heat radiation adopts negative heat flux.
The finite element method of described a kind of high ferro bearing Steady-State Thermal Field, it is characterized in that: in step (6), thermal source allocation scheme is: with roller and Internal and external cycle for thermal source but the different load mode of temperature, but uneven for heat is allocated in bearing roller and Internal and external cycle, and the heat of two place's contact areas is higher than the region do not contacted.
The present invention, compared with traditional hot-fluid network technique, avoids a large amount of equation solutions, and can obtain monolithic stability distribution situation, for the optimal design of high ferro bearing provides foundation.
Accompanying drawing explanation
Fig. 1 is double-row conical bearing two dimensional model used for high-speed railway.
Fig. 2 is bearing arrangement heat transfer model.
Embodiment
A finite element method for high ferro bearing Steady-State Thermal Field, embodiment comprises the following steps:
(1), with double-row conical bearing used for high-speed railway for research object, in solidwork software, two dimensional model is set up, as shown in Figure 1.
(2) bearing arrangement heat transfer model, is set up, as shown in Figure 2, mainly comprise bearing seat, outer ring, taper roller, inner ring, tubular shaft, air, oil film etc., according to operating mode and the bearing arrangement parameter of high ferro bearing, the heat radiation of bearing seat, bearing, axle is replaced by heat flux, bearing seat, axle and oil film are loaded on working surface relative to the heat loss through convection coefficient of bearing, and then the Study on Temperature Field of bearing arrangement is converted into the Study on Temperature Field to bearing assembly.
(3), calculation bearing thermal value is carried out according to bearing frictional torque; Bearing heating amount is calculated as:
H
tot=1.047×10
-4nM,
Wherein, n is rotating speed, M=M
r+ M
a+ M
v,
M
rfor only having the moment of friction of radial load, computing formula is:
M
r=3.35×10
-6G(nν
0)
1/2(f
tF
r/K)
1/3,
M
afor the moment of friction of axial load, computing formula is:
M
a=3.35×10
-6G(nν
0)
1/3F
a 1/3,
M
vfor the viscous friction moment that lubricant causes, computing formula is:
Wherein, G is sliding friction variable, and n is rotating speed, ν
0for lubricant kinematic viscosity under working temperature, f
rfor friction factor, F
rfor radial load size, K is bearing type constant, F
afor axial load size, f
0for friction factor, d
mfor the mean diameter of bearing;
(4), the cross-ventilation coefficient of heat transfer is calculated, the convection coefficient of axle and bearing, lubricant convection coefficient, the convection transfer rate of bearing seat outside surface;
(5), calculate extraneous heat dissipation capacity, computing formula is:
Q=2 π λ l Δ t/In (d
2/ d
1)
,wherein, λ is the thermal conductivity of material, and l is bearing seat length, and Δ t is temperature variation, d
2for bearing seat external diameter; d
1for warp in bearing seat.
(6), set up the finite element model of high ferro bearing, and distribute thermal source and solve, obtain the Numerical Simulation Results of Steady-State Thermal Field.
Wherein, the finite element model of high ferro bearing adopts free mesh, the contact area local refinement between roller and Internal and external cycle, and the heating part between roller and Internal and external cycle adopts face load, and boundary condition is thermal convection, and Internal and external cycle heat radiation adopts negative heat flux;
Thermal source allocation scheme is: with roller and Internal and external cycle for thermal source but the different load mode of temperature, but uneven for heat is allocated in bearing roller and Internal and external cycle, and the heat of two place's contact areas is higher than the region do not contacted.
Claims (6)
1. a finite element method for high ferro bearing Steady-State Thermal Field, is characterized in that: comprise the following steps:
(1), with double-row conical bearing used for high-speed railway for research object, in solidwork software, two dimensional model is set up;
(2) bearing arrangement heat transfer model, is set up, according to operating mode and the bearing arrangement parameter of high ferro bearing, the heat radiation of bearing seat, bearing, axle is replaced by heat flux, bearing seat, axle and oil film are loaded on working surface relative to the heat loss through convection coefficient of bearing, and then the Study on Temperature Field of bearing arrangement is converted into the Study on Temperature Field to bearing assembly;
(3), calculation bearing thermal value is carried out according to bearing frictional torque;
(4), the cross-ventilation coefficient of heat transfer is calculated, the convection coefficient of axle and bearing, lubricant convection coefficient, the convection transfer rate of bearing seat outside surface;
(5), extraneous heat dissipation capacity is calculated;
(6), set up the finite element model of high ferro bearing, and distribute thermal source and solve, obtain the Numerical Simulation Results of Steady-State Thermal Field.
2. the finite element method of a kind of high ferro bearing Steady-State Thermal Field according to claim 1, it is characterized in that: in step (2), the heat transfer model of bearing arrangement is the heat transfer model of bearing seat, outer ring, taper roller, inner ring, tubular shaft, air, oil film.
3. the finite element method of a kind of high ferro bearing Steady-State Thermal Field according to claim 1, is characterized in that: in step (3), bearing heating amount is calculated as:
H
tot=1.047×10
-4nM,
Wherein, n is rotating speed, M=M
r+ M
a+ M
v, M
rfor only having the moment of friction of radial load, M
afor the moment of friction of axial load, M
vfor the viscous friction moment that lubricant causes.
4. the finite element method of a kind of high ferro bearing Steady-State Thermal Field according to claim 1, it is characterized in that: in step (5), extraneous heat dissipation capacity computing formula is:
Q=2πλlΔt/In(d
2/d
1),
Wherein, λ is the thermal conductivity of material, and l is bearing seat length, and Δ t is temperature variation, d
2for bearing seat external diameter; d
1for warp in bearing seat.
5. the finite element method of a kind of high ferro bearing Steady-State Thermal Field according to claim 1, it is characterized in that: in step (6), the finite element model of high ferro bearing adopts free mesh, contact area local refinement between roller and Internal and external cycle, heating part between roller and Internal and external cycle adopts face load, boundary condition is thermal convection, and Internal and external cycle heat radiation adopts negative heat flux.
6. the finite element method of a kind of high ferro bearing Steady-State Thermal Field according to claim 1, it is characterized in that: in step (6), thermal source allocation scheme is: with roller and Internal and external cycle for thermal source but the different load mode of temperature, but uneven for heat is allocated in bearing roller and Internal and external cycle, and the heat of two place's contact areas is higher than the region do not contacted.
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Cited By (7)
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CN108038268A (en) * | 2017-11-18 | 2018-05-15 | 西安交通大学 | GIL running temperature appraisal procedures in a kind of corridor pipe |
CN110321602A (en) * | 2019-06-17 | 2019-10-11 | 大连理工大学 | A kind of mining magnetic coupler whole audience temperature computation method |
CN110726495A (en) * | 2019-10-25 | 2020-01-24 | 中铁工程服务有限公司 | System and method for testing temperature field of shield main bearing |
CN110781629A (en) * | 2019-11-20 | 2020-02-11 | 桂林理工大学 | Method and system for determining convection heat dissipation coefficient |
CN112287482A (en) * | 2020-10-28 | 2021-01-29 | 南京航空航天大学 | Method and system for calculating convection heat transfer coefficient of ball bearing |
CN113312728A (en) * | 2021-06-24 | 2021-08-27 | 南京航空航天大学 | Flow field simulation method and system in oil loss process of double-row tapered roller bearing |
CN113392559A (en) * | 2021-06-24 | 2021-09-14 | 南京航空航天大学 | Method and system for calculating temperature field of double-row tapered roller bearing in oil loss process |
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Cited By (12)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
CN108038268A (en) * | 2017-11-18 | 2018-05-15 | 西安交通大学 | GIL running temperature appraisal procedures in a kind of corridor pipe |
CN108038268B (en) * | 2017-11-18 | 2020-06-02 | 西安交通大学 | Method for evaluating GIL (general in-lane) running temperature in corridor |
CN110321602A (en) * | 2019-06-17 | 2019-10-11 | 大连理工大学 | A kind of mining magnetic coupler whole audience temperature computation method |
CN110321602B (en) * | 2019-06-17 | 2020-12-11 | 大连理工大学 | Full-field temperature calculation method for mine magnetic coupler |
CN110726495A (en) * | 2019-10-25 | 2020-01-24 | 中铁工程服务有限公司 | System and method for testing temperature field of shield main bearing |
CN110781629A (en) * | 2019-11-20 | 2020-02-11 | 桂林理工大学 | Method and system for determining convection heat dissipation coefficient |
CN112287482A (en) * | 2020-10-28 | 2021-01-29 | 南京航空航天大学 | Method and system for calculating convection heat transfer coefficient of ball bearing |
CN112287482B (en) * | 2020-10-28 | 2024-05-14 | 南京航空航天大学 | Method and system for calculating convection heat exchange coefficient of ball bearing |
CN113312728A (en) * | 2021-06-24 | 2021-08-27 | 南京航空航天大学 | Flow field simulation method and system in oil loss process of double-row tapered roller bearing |
CN113392559A (en) * | 2021-06-24 | 2021-09-14 | 南京航空航天大学 | Method and system for calculating temperature field of double-row tapered roller bearing in oil loss process |
CN113392559B (en) * | 2021-06-24 | 2024-05-28 | 南京航空航天大学 | Calculation method and system for temperature field of double-row tapered roller bearing in oil loss process |
CN113312728B (en) * | 2021-06-24 | 2024-06-11 | 南京航空航天大学 | Flow field simulation method and system in oil loss process of double-row tapered roller bearing |
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