CN109766625A - A kind of magic formula tire model calculation method considering tyre temperature - Google Patents
A kind of magic formula tire model calculation method considering tyre temperature Download PDFInfo
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- CN109766625A CN109766625A CN201910013890.2A CN201910013890A CN109766625A CN 109766625 A CN109766625 A CN 109766625A CN 201910013890 A CN201910013890 A CN 201910013890A CN 109766625 A CN109766625 A CN 109766625A
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- Y—GENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
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Abstract
The present invention relates to tire testing technique field, especially a kind of magic formula tire model calculation method for considering tyre temperature the steps include: process and transitive relation that (1) analysis tyre temperature generates；(2) tyre temperature relationship between expression formula is established, various thermal relationships are indicated by mathematic(al) representation；(3) temperature expression formula is introduced into tire magic formula, the present invention it can be considered that tyre temperature influence, can the designed reliability to tire model further promoted.
Description
Technical field
The present invention relates to tire testing technique field, specific field is a kind of magic formula tyre mould for considering tyre temperature
Type calculation method.
Background technique
The nonlinear characteristic of tire has important influence to the control stability that vehicle is united, and analyzes tire characteristics to design
Vehicle component and advanced control system are all highly desirable.The mathematical model of tire characteristics is generally applied to vehicle emulation
In model, magic formula tire model is a kind of semiempirical tire model, it can accurately describe the non-linear of tire very much
Mechanical characteristic.Magic formula tire model picks out model parameter, all parameters based on test data, through test data
Corresponding magic formula tire model is constituted, and then stress condition of the tire under other various operating conditions can be calculated.Due to
Magic formula has the characteristics that non-linear, multi-parameter, thus how from test data accurate recognition goes out its corresponding parameter and is
It is very difficult.There is no influence in view of temperature bring in calculating for magic formula tire model.
Summary of the invention
The purpose of the present invention is to provide a kind of magic formula tire model calculation methods for considering tyre temperature, to solve
The problem of temperature influences tire items power in the prior art.
To achieve the above object, the invention provides the following technical scheme: a kind of magic formula tire for considering tyre temperature
Model Calculating Method the steps include:
(1) process and transitive relation that analysis tyre temperature generates；
(2) tyre temperature relationship between expression formula is established, various thermal relationships are indicated by mathematic(al) representation；
(3) temperature expression formula is introduced into tire magic formula.
Preferably, the transmitting of tyre temperature is analyzed according to step (1), the heat of transmitting is divided into the generation of tire hysteresis loss
Heat, the friction heat, tire and the transmitting of air heat, the heat exchange between tire and road surface that generate.
Preferably, the transitive relation between various heats is obtained according to the various analyses between step (1) heat transfer are as follows:
The every unit of tire rolls one week energy being lost are as follows:
Wherein in formula (1): σ is adaptability to changes；ε is strain value, solution formula are as follows:
Preferably, it is characterised in that: obtained according to formula (1) and (2):
Preferably, according to the formula of step (1), the relationship of heat and speed and time caused by rolling is obtained are as follows:
Preferably, according to its relationship of the heat of friction generation in step (1) are as follows:
Preferably, according to tire in step (1) and road surface heat exchange relationship are as follows:
Preferably, according to tire in step (1) and air heat transfer relation are as follows:
Preferably, automobile tire heat transfer general equation is obtained according to formula (1)-(7) are as follows:
Preferably, ε in formula (8)nFor plastic strain amplitude；T is the deformation period；T is the rubber deformation time；δ is rubber deformation
Loss angle；ε0Maximum value is strained for tire；For elastic loss amount, E ' is storage amount of elasticity；D is that tire is straight
Diameter；V is Vehicle Speed；T is time of vehicle operation；FslideFor slip region frictional force；SsildeFor slip region area；Vg
Heat is generated for sliding velocity to be absorbed jointly by tire and road surface；TsIndicate surface of tyre temperature；TairFor air themperature；For Reynolds number；Pr is Prandtl coefficient, and D is diameter of tyres；
egFor rubber heat accumulation coefficient；esolFor road surface heat accumulation coefficient；TsFor external skin temperatures.
Compared with prior art, the beneficial effects of the present invention are: solving influence of the temperature to tire items power, the present invention
It is added to temperature factor on the basis of tire magic formula, calculates temperature to the shadow of every power by changing temperature factor
It rings.The present invention first passes through generation transmitting of tyre temperature etc. first and analyzes the heated transmitting situation of tire, sums up a temperature
Change formula.Secondly temperature factor is introduced in magic formula is analyzing it calculating.
Detailed description of the invention
Fig. 1 is automobile energy transition diagram of the invention；
Fig. 2 is the influence of tyre temperature of the invention to longitudinal force；
Relationship of the Fig. 3 between tyre temperature and lateral force of the invention；
Relationship of the Fig. 4 between tire temperature and aligning torque of the invention.
Specific embodiment
Following will be combined with the drawings in the embodiments of the present invention, and technical solution in the embodiment of the present invention carries out clear, complete
Site preparation description, it is clear that described embodiments are only a part of the embodiments of the present invention, instead of all the embodiments.It is based on
Embodiment in the present invention, it is obtained by those of ordinary skill in the art without making creative efforts every other
Embodiment shall fall within the protection scope of the present invention.
Fig. 1 to 4 is please referred to, the present invention provides a kind of technical solution: a kind of magic formula tyre mould considering tyre temperature
Type calculation method, the steps include:
(1) process and transitive relation that analysis tyre temperature generates；
(2) tyre temperature relationship between expression formula is established, various thermal relationships are indicated by mathematic(al) representation；
(3) temperature expression formula is introduced into tire magic formula.
According to step (1) analyze tyre temperature transmitting, transmitting heat be divided into tire hysteresis loss generation heat,
The heat exchange between heat, tire and the transmitting of air heat, tire and road surface that friction generates.
The transitive relation between various heats is obtained according to the various analyses between step (1) heat transfer are as follows: tire is every
Unit rolls one week energy being lost are as follows:
Wherein in formula (1): σ is adaptability to changes；ε is strain value, solution formula are as follows:
It is obtained according to formula (1) and (2):
According to the formula of step (1), the relationship of heat and speed and time caused by rolling is obtained are as follows:
According to its relationship of the heat of friction generation in step (1) are as follows:
According to tire in step (1) and road surface heat exchange relationship are as follows:
According to tire in step (1) and air heat transfer relation are as follows:
Automobile tire heat transfer general equation is obtained according to formula (1)-(7) are as follows:
ε in formula (8)nFor plastic strain amplitude；T is the deformation period；T is the rubber deformation time；δ is rubber deformation loss angle；ε0
Maximum value is strained for tire；For elastic loss amount, E ' is storage amount of elasticity；D is diameter of tyres；V is vehicle
Travel speed；T is time of vehicle operation；FslideFor slip region frictional force；SsildeFor slip region area；VgFor sliding velocity
Heat is generated to be absorbed jointly by tire with road surface；TsIndicate surface of tyre temperature；TairFor air themperature；For Reynolds number；Pr is Prandtl coefficient, and D is diameter of tyres；
egFor rubber heat accumulation coefficient；esolFor road surface heat accumulation coefficient；TsFor external skin temperatures.
By the technical program, step 1: tire calorifics model foundation.Tire is center symmetrical structure, thermal physical property parameter
For constant, does not change with temperature and change.Tire size tire pressure will not variation with temperature and change；
Step 2: there is many restrictive conditions in the calculation method of above-mentioned various heats: first rolls generated heatMiddle V and T be unwilling to can infinity so we need to be arranged a maximum value in calculating process.Between tire and road surface
Heat exchange formula in hallBe a new parameter itsThis is to calculate
When facilitate calculate introduce new parameter.It can be ignored by calculating its influence；
Step 3: determining expression formula of the magic formula under several operating conditions:
(1) pure longitudinal operating condition, the relationship between longitudinal force of tire and slip rate:
Fx0(λ)=Dxsin{Cxarctan[Bx(λ+Sh)-Ex(Bx(λ+Sh)-arctan(Bx(λ+Sh)))]}
Wherein: λ is slip rate；Cx=1.65； sh=a9Fz+a10；
(2) pure longitudinal operating condition, side force of tire and lateral deviation angular dependence:
Fy0(α)=Dysin{Cyarctan[By(α+Sh)-Ey(By(α+Sh)-arctan(By(α+Sh)))]}+Sv
Wherein: α is side drift angle；Cy=1.3； sh=b9Fz+b10+b8γ；Sv=b11Fzγ+b12Fz+b13；
(3) pure longitudinal operating condition, tyre moment and lateral deviation angular dependence:
Fz0(α)=Dzsin{Czarctan[Bz(α+Sh)-Ez(Bz(α+Sh)-arctan(Bz(α+Sh)))]}+Sv
Wherein: α is side drift angle；Cz=1.0；
sh=c11γ+c12Fz+c13
It is the fundamental formular that three kinds of magic formulas are used to calculate tire items power above, show that tire is rigid according to above-mentioned analysis
There are certain relationships between degree and temperature, therefore are added to temperature factor in previous magic formula fundamental formular.
Step 4: above-mentioned formula is the expression for introducing temperature factor in magic formula, after introduction with will be into
Row analysis emulation is to verify tyre temperature to the influence between every power
It although an embodiment of the present invention has been shown and described, for the ordinary skill in the art, can be with
A variety of variations, modification, replacement can be carried out to these embodiments without departing from the principles and spirit of the present invention by understanding
And modification, the scope of the present invention is defined by the appended.
Claims (10)
1. a kind of magic formula tire model calculation method for considering tyre temperature, it is characterised in that: the steps include:
(1) process and transitive relation that analysis tyre temperature generates；
(2) tyre temperature relationship between expression formula is established, various thermal relationships are indicated by mathematic(al) representation；
(3) temperature expression formula is introduced into tire magic formula.
2. a kind of magic formula tire model calculation method for considering tyre temperature according to claim 1, feature exist
In: the transmitting of tyre temperature is analyzed according to step (1), the heat of transmitting is divided into the heat of tire hysteresis loss generation, friction
Heat exchange between the heat of generation, tire and the transmitting of air heat, tire and road surface.
3. a kind of magic formula tire model calculation method for considering tyre temperature according to claim 2, feature exist
In: the transitive relation between various heats is obtained according to the various analyses between step (1) heat transfer are as follows: the every unit rolling of tire
Move one week energy being lost are as follows:
Wherein in formula (1): σ is adaptability to changes；ε is strain value, solution formula are as follows:
4. a kind of magic formula tire model calculation method for considering tyre temperature according to claim 3, feature exist
In: it is obtained according to formula (1) and (2):
5. a kind of magic formula tire model calculation method for considering tyre temperature according to claim 4, feature exist
In: according to the formula of step (1), obtain the relationship of heat and speed and time caused by rolling are as follows:
6. a kind of magic formula tire model calculation method for considering tyre temperature according to claim 5, feature exist
In: according to its relationship of the heat of friction generation in step (1) are as follows:
7. a kind of magic formula tire model calculation method for considering tyre temperature according to claim 6, feature exist
In: according to tire in step (1) and road surface heat exchange relationship are as follows:
8. a kind of magic formula tire model calculation method for considering tyre temperature according to claim 7, feature exist
In: according to tire in step (1) and air heat transfer relation are as follows:
9. a kind of magic formula tire model calculation method for considering tyre temperature according to claim 8, feature exist
In: automobile tire heat transfer general equation is obtained according to formula (1)-(7) are as follows:
10. a kind of magic formula tire model calculation method for considering tyre temperature according to claim 9, feature exist
In: ε in formula (8)nFor plastic strain amplitude；T is the deformation period；T is the rubber deformation time；δ is rubber deformation loss angle；ε0For wheel
Tire strains maximum value；For elastic loss amount, E ' is storage amount of elasticity；D is diameter of tyres；V is vehicle driving
Speed；T is time of vehicle operation；FslideFor slip region frictional force；SsildeFor slip region area；VgFor sliding velocity generation
Heat is absorbed by tire with road surface jointly；TsIndicate surface of tyre temperature；TairFor air themperature；For Reynolds number；PrFor Prandtl coefficient, D is diameter of tyres；
egFor rubber heat accumulation coefficient；esolFor road surface heat accumulation coefficient；TsFor external skin temperatures.
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Cited By (1)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| IT202100010112A1 (en) * | 2021-04-26 | 2022-10-26 | Megaride | METHOD FOR SIMULATING THE TIRE-ROAD INTERACTION BASED ON PACEJKA'S FORMULA WITH VARIABLE PARAMETERS |
Citations (4)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| JP2007210528A (en) * | 2006-02-10 | 2007-08-23 | Bridgestone Corp | Temperature distribution prediction method of tire, thermal analysis model, and temperature distribution prediction calculating program of tire |
| US20080059134A1 (en) * | 2006-08-22 | 2008-03-06 | The Yokohama Rubber Co., Ltd. | Tire characteristic calculation method, tire dynamic element parameter value derivation method, vehicle traveling simulation method, and tire designing method and vehicle designing method in which consideration is given to tire friction ellipse |
| CN101535999A (en) * | 2006-09-01 | 2009-09-16 | 米其林技术公司 | Method for simulating the thermomechanical behaviour of a tyre rolling on the ground |
| JP2017009482A (en) * | 2015-06-24 | 2017-01-12 | 住友ゴム工業株式会社 | Method for generating tire model and method for simulating tire temperature |
-
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Patent Citations (4)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| JP2007210528A (en) * | 2006-02-10 | 2007-08-23 | Bridgestone Corp | Temperature distribution prediction method of tire, thermal analysis model, and temperature distribution prediction calculating program of tire |
| US20080059134A1 (en) * | 2006-08-22 | 2008-03-06 | The Yokohama Rubber Co., Ltd. | Tire characteristic calculation method, tire dynamic element parameter value derivation method, vehicle traveling simulation method, and tire designing method and vehicle designing method in which consideration is given to tire friction ellipse |
| CN101535999A (en) * | 2006-09-01 | 2009-09-16 | 米其林技术公司 | Method for simulating the thermomechanical behaviour of a tyre rolling on the ground |
| JP2017009482A (en) * | 2015-06-24 | 2017-01-12 | 住友ゴム工業株式会社 | Method for generating tire model and method for simulating tire temperature |
Non-Patent Citations (7)
| Title |
|---|
| 史宗莉等: "变载荷工况下的轮胎动力学性能试验仿真", 《上海工程技术大学学报》 * |
| 张海涛: "SWIFT与FTire轮胎模型的应用对比研究", 《中国优秀硕士学位论文全文数据库(电子期刊)工程科技II辑》 * |
| 朱燕燕等: "一种新的轮胎附着状态的理论与实验研究", 《机械设计与制造》 * |
| 李松焱等: "轮胎动力学模型的建立与仿真分析", 《南京工程学院学报(自然科学版)》 * |
| 程钢等: "滚动轮胎热分析研究进展", 《弹性体》 * |
| 邢涛等: "轮胎滚动温度场分布研究", 《轮胎工业》 * |
| 龚科家等: "基于热力学有限元分析的轮胎滚动阻力仿真", 《中国机械工程》 * |
Cited By (1)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| IT202100010112A1 (en) * | 2021-04-26 | 2022-10-26 | Megaride | METHOD FOR SIMULATING THE TIRE-ROAD INTERACTION BASED ON PACEJKA'S FORMULA WITH VARIABLE PARAMETERS |
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Application publication date: 20190517 |