CN110728002B - Method, device and equipment for determining tire theoretical model parameters and storage medium - Google Patents
Method, device and equipment for determining tire theoretical model parameters and storage medium Download PDFInfo
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- CN110728002B CN110728002B CN201910935189.6A CN201910935189A CN110728002B CN 110728002 B CN110728002 B CN 110728002B CN 201910935189 A CN201910935189 A CN 201910935189A CN 110728002 B CN110728002 B CN 110728002B
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Abstract
The invention is suitable for the technical field of computers, and provides a method, a device, equipment and a storage medium for determining tire theoretical model parameters, wherein the method comprises the following steps: acquiring the half length of a contact patch, a first characteristic parameter and a second characteristic parameter of a tire; solving a model based on the first tire theoretical model parameters, and determining the first tire theoretical model parameters according to the half length of the contact patch and the first characteristic parameters; and solving the model based on the second tire theoretical model parameters, and determining the second tire theoretical model parameters according to the half length of the contact patch, the bristle stiffness and the second characteristic parameters. According to the method provided by the embodiment of the invention, the solution model is respectively established for each model parameter to be identified, and each model parameter is solved step by step.
Description
Technical Field
The invention belongs to the technical field of computers, and particularly relates to a method, a device, equipment and a storage medium for determining tire theoretical model parameters.
Background
In conducting tire mechanical performance experiments, it is often necessary to build a tire model, where the tire brush model is a classical model in tire mechanics, simplifying the tire into an "elastomeric tread and a rigid carcass". However, the traditional brush model does not consider the elasticity of the tire body, so that the expression precision of the mechanical characteristics of the tire is not enough. On the basis of a traditional tire brush model, scholars at home and abroad further consider the complex elastic deformation of a tire body, establish a more accurate tire mechanical model, and deeply discuss the aspects of steady-state lateral deviation, longitudinal slip characteristic, tire characteristic under the composite working condition of lateral deviation and longitudinal slip, and the like.
At present, parameters in a tire brush theoretical model considering complex elasticity of a tire body mainly comprise bristle stiffness, longitudinal translation stiffness, torsional stiffness, bending stiffness and the like, and identification of the parameters in the prior art is generally unified identification based on a least square method, that is, in the prior art, an integral model containing all the parameters is constructed, results of various tire simulations are input, and the least square method is used for integrally identifying all the parameters, so that the parameter identification results have high randomness, and the established model is not accurate enough, and the extension capability and the prediction capability are low.
Therefore, the existing identification method for parameters in the tire brush theoretical model considering the complex elasticity of the tire body also has the technical problems that the accuracy of the identification result is low, so that the established model is not accurate enough, and the extension capability and the prediction capability are low.
Disclosure of Invention
The embodiment of the invention aims to provide a method for determining parameters of a tire theoretical model, and aims to solve the technical problems that the established model is not accurate enough and the extension capability and the prediction capability are low due to low accuracy of an identification result of an existing identification method for parameters in a tire brush theoretical model considering complex elasticity of a tire body.
The embodiment of the invention is realized in such a way that a method for determining the parameters of a theoretical model of a tire comprises the following steps:
acquiring the half length of a contact patch, a first characteristic parameter and a second characteristic parameter of a tire;
solving a model based on preset first tire theoretical model parameters, and determining first tire theoretical model parameters according to the half length of the contact patch and the first characteristic parameters;
solving a model based on preset second tire theoretical model parameters, and determining second tire theoretical model parameters according to the half length of the contact patch, the bristle stiffness and the second characteristic parameters;
the first characteristic parameter is longitudinal and smooth stiffness, the first tire theoretical model parameter solving model is a bristle stiffness solving model, and the first tire theoretical model parameter is bristle stiffness.
Another object of an embodiment of the present invention is to provide a tire theoretical model parameter determination apparatus, including:
the parameter acquisition unit is used for acquiring the half length of a contact patch of the tire, a first characteristic parameter and a second characteristic parameter;
the tire theoretical model parameter first solving unit is used for solving a model based on preset first tire theoretical model parameters and determining first tire theoretical model parameters according to the half length of the grounding trace and the first characteristic parameters;
the tire theoretical model parameter second solving unit is used for solving a model based on preset second tire theoretical model parameters and determining second tire theoretical model parameters according to the half length of the grounding print, the bristle stiffness and the second characteristic parameters;
the first characteristic parameter is longitudinal and smooth stiffness, the first tire theoretical model parameter solving model is a bristle stiffness solving model, and the first tire theoretical model parameter is bristle stiffness.
It is a further object of an embodiment of the present invention to provide a computer apparatus, comprising a memory and a processor, wherein the memory stores a computer program, and the computer program, when executed by the processor, causes the processor to execute the steps of the method for determining theoretical model parameters of a tire as described above.
It is a further object of an embodiment of the present invention to provide a computer-readable storage medium, on which a computer program is stored, which, when executed by a processor, causes the processor to perform the steps of the method for determining theoretical model parameters of a tire as described above.
According to the method for determining the tire theoretical model parameters, provided by the embodiment of the invention, the half length of a grounding trace, a first characteristic parameter and a second characteristic parameter are obtained, wherein the first characteristic parameter is longitudinal and smooth stiffness, then a preset bristle stiffness solving model corresponding to the longitudinal and smooth stiffness of the first characteristic parameter is used for directly determining the bristle stiffness of the tire according to the half length of the grounding trace and the longitudinal and smooth stiffness, further, the preset second tire theoretical model parameter solving model is used for determining the second tire theoretical model parameters according to the half length of the grounding trace, the bristle stiffness and the second characteristic parameter. Compared with the prior art that a plurality of tire theoretical model parameters to be identified such as brush stiffness, longitudinal translation stiffness, torsional stiffness and bending stiffness are jointly constructed into an integral model, and then the integral model is identified by utilizing the unity identification of the least square method, the tire theoretical model parameter determining method provided by the embodiment of the invention is used for respectively establishing independent solving models for each tire theoretical model parameter to be identified, namely establishing a mathematical relationship between the tire theoretical model parameter to be identified and a characteristic parameter, and then correspondingly determining the corresponding tire theoretical model parameter by measuring the characteristic parameter of the tire and substituting the characteristic parameter into the solving model, namely, the tire theoretical model parameter determining method provided by the embodiment of the invention is used for solving different tire theoretical model parameters to be identified Compared with the integral identification, the model is independently solved step by step, so that the randomness of the result is reduced, namely the accuracy of the model parameters is improved, and the extension capability and the prediction capability of the finally established tire theoretical model are effectively improved.
Drawings
FIG. 1 is a mathematical model diagram of tire deformation under a cornering-cornering combined condition according to an embodiment of the invention;
FIG. 2 is a flow chart illustrating the steps of a theoretical model parameter determination method for a tire according to an embodiment of the present invention;
FIG. 3 is a flow chart illustrating the steps of another method for determining theoretical tire model parameters according to an embodiment of the present invention;
FIG. 4 is a flow chart illustrating the steps of a theoretical tire model parameter determination method according to an embodiment of the present invention;
FIG. 5 is a flow chart illustrating the steps of a theoretical model parameter determination method for a tire according to an embodiment of the present invention;
FIG. 6 is a flow chart illustrating the steps of a theoretical tire model parameter determination method according to an embodiment of the present invention;
FIG. 7 is a diagram illustrating a parameter identification process according to an embodiment of the present invention;
fig. 8 is a schematic structural diagram of a theoretical tire model parameter determining apparatus according to an embodiment of the present invention.
Detailed Description
In order to make the objects, technical solutions and advantages of the present invention more apparent, the present invention is described in further detail below with reference to the accompanying drawings and embodiments. It should be understood that the specific embodiments described herein are merely illustrative of the invention and are not intended to limit the invention.
In consideration of the defects of the prior art in the overall identification of tire theoretical model parameters, the embodiment of the invention provides a method for identifying tire brush model parameters considering the complex elasticity of a tire body by combining a partial theoretical model in a step-by-step experiment mode. In the invention, a tire linear region steady state theoretical model is firstly established, and when the tire width is not considered, the deformation condition of the tire under the composite working condition of lateral deviation, longitudinal deviation and smoothness is researched, so that the mathematical relation between the parameters to be identified in the model and the tire characteristic parameters is obtained. And after the tire characteristic parameters are obtained, the parameters to be identified in the tire brush model are derived by utilizing the mathematical relationship between the parameters to be identified in the model and the tire characteristic parameters.
The method for determining the theoretical model parameters of the tire provided by the invention firstly establishes the mathematical relationship between the parameters to be identified and the characteristic parameters of the tire which can be measured through experiments through the pre-mathematical operation processing, and for the convenience of understanding, the relationship between the parameters to be identified and the characteristic parameters related by the invention is explained before the steps of the specific method for determining the theoretical model parameters of the tire are given.
Fig. 1 is a mathematical model diagram of tire deformation under the combined cornering and cornering conditions, which is detailed as follows.
Referring to FIG. 1, wherein V represents the velocity of the tire relative to the ground, curve APcArea AP enclosed by D and line segment ABDcDB is deformation of bristles in the print, the bristles enter the print from the point A in the motion process of the tire, and after time t, the upper end point and the lower end point of each bristle are P respectivelyc,PtAt this time, the coordinates of the upper and lower end points are:
in the above formula, as can be seen from the attached drawings, the ground contact is divided into a slip region and an attachment region, and the total length is equivalent to two a, i.e., a represents the half-length of the ground contact. FyAnd KcbIt is a common indication in the art to indicate a tire lateral force and a bending stiffness, respectively, and a ratio of the tire lateral force to the bending stiffness is a tire lateral bending deformation amount, but considering that the lateral bending deformation of the tire is not linear, it is usually necessary to describe a deformation law in a contact patch by using a carcass lateral deformation function ζ (μ), where μ ═ x/a, and the tire lateral bending deformation amount after correction can be obtained by multiplying the ratio of the tire lateral force to the bending stiffness by the carcass lateral deformation function ζ (μ)
Is the second term of the second equation, and Sx,SyThe longitudinal slip ratio and the lateral slip ratio are indicated, respectively.
Calculating the deformation of the bristles by subtracting the coordinates of the end points, i.e.
In the above formula, the carcass twist angle θ is further expressed as a aligning moment M in addition to a simple differencezAnd torsional rigidity NθThe ratio of.
Further, according to the bristle stiffness ktAnd isotropy of the bristle material, resulting in tangential force to the individual bristles:
thereby obtaining the longitudinal force F by integrating the shearing stress of the bristles in the whole printxLateral force FyAnd a righting moment MzI.e. by
Wherein, the specific integration result is:
in the above formula, wherein ∈bFor the bending characteristic ratio, the calculation formula is
εθFor the distortion characteristic ratio, the calculation formula is
Wherein the numerator of the above two formulas is the initial lateral deflection stiffness Ky0And an initial return stiffness Km0I.e. Ky0＝2a2kt，
And MzIn the last item
Can be regarded as the carcass elastic coefficient c. In addition, the zeroth order moment of the above-mentioned carcass deformation function zeta (mu) is introduced
And first moment
Then the carcass side at this timeThe following boundary conditions are satisfied for the deformation function:
in addition, in the simple model under the lateral deviation and longitudinal slip combined working condition
Wherein, KxFor longitudinal and smooth stiffness, KyFor yaw stiffness, KmTo return to positive stiffness, SxAs longitudinal slip ratio, SyFor lateral slip ratio, the foregoing simple model is referred to as Fx、FyAnd MzWith respect to F in the above integration resultsx、FyAnd MzThe calculation formula of (2) is simplified to obtain:
in the above formula,. epsilon0、εb、Ky0、Km0And c are given above. In order to facilitate parameter identification and experimental design operation, the theoretical model of the composite working condition can be simplified into a model with only lateral input and a model with only longitudinal input.
Only with lateral input, SxThat is, 0, the cornering stiffness K of the tire can be obtainedyAnd a normalized stiffness Km：
When only longitudinal input is carried out, the longitudinal and smooth rigidity K of the tire can be obtainedxNamely:
Kx＝2a2kt
combining the above formulas, the stiffness K of the bristlesxAnd the half length a of the contact patch and the stiffness k of the bristlestHas a corresponding mathematical relation between the positive stiffness and the negative stiffnessmAnd ground contact half length a, bristle stiffness ktAnd torsional rigidity NθThere is a corresponding mathematical relationship between them, the cornering stiffness KyAnd ground contact half length a, bristle stiffness ktBending stiffness KcbAnd torsional rigidity NθThere is a corresponding mathematical relationship between them.
In addition, the lateral translational deformation y of the carcassc0Satisfies the following conditions:
At this time, the tread deformation amount Δ y ═ y-yc0Here, Δ y' represents a tread deformation amount, and when it is different from the bristle deformation amount Δ y, the tire lateral force F is generatedyCan be expressed as:
wherein k istyRepresents the lateral stiffness of the tire bristles, k being the same as the isotropic stiffness of the tire bristlesty＝ktIt can be seen that the lateral tensile stiffness KdyHalf length a of grounding trace and rigidity k of brush hairtAnd lateral translational stiffness KcyThere is a corresponding mathematical relationship between them.
Similar to lateral translation of the tire body, the longitudinal translation of the tire body has similar mathematical relationship, and the longitudinal tensile rigidity K can be directly obtained by analogydxSatisfies the following conditions:
likewise, wherein ktxRepresents the longitudinal stiffness of the tire bristles, k being the same as the isotropic stiffness of the tire bristlestx＝ktIt can be seen that the longitudinal tensile stiffness KdxHalf length a of grounding trace and rigidity k of brush hairtAnd longitudinal translational stiffness KcxThere is also a corresponding mathematical relationship between them.
In the foregoing derivation, parameters required for use in a theoretical model of a tire brush considering complex elasticity of a carcass, such as bristle stiffness k, are giventLongitudinal translational stiffness KcxLateral translation stiffness KcyTorsional rigidity NθAnd bending stiffness KcbWith a tyre body characteristic parameter measured experimentally, e.g. longitudinal tensile stiffness KdxLateral tensile stiffness KdyAnd the mathematical relationship between the half length a of the contact patch, so that in the parameter determination process, corresponding tire theoretical model parameters can be determined according to the deduced mathematical relationship only by acquiring corresponding characteristic parameters.
Fig. 2 is a flowchart of steps of a method for determining theoretical tire model parameters according to an embodiment of the present invention, which specifically includes the following steps:
step S202, acquiring the half length of the contact patch of the tire, the first characteristic parameter and the second characteristic parameter.
In the embodiment of the present invention, the half-length of the contact patch is mainly determined by a contact patch experiment, wherein the contact patch experiment belongs to a tire experiment familiar to those skilled in the art, and a detailed description of the test process is omitted here.
In the embodiment of the present invention, the first characteristic parameter and the second characteristic parameter belong to the same characteristic parameter, and the characteristic parameter is mainly determined by the corresponding characteristic parameter experiment, but the longitudinal-sliding stiffness K is derived by considering the formulaxOnly with bristle stiffness ktAnd half-length of the contact patch, while the bristle stiffness ktThe method is also needed to be used in other theoretical tire model parameter solving models, so that the longitudinal sliding rigidityDegree KxDifferent from other characteristic parameters, therefore, in the present invention, the first characteristic parameter is the longitudinal sliding rigidity KxThe second characteristic parameter is the longitudinal sliding rigidity KxBesides the above, the second characteristic parameter preferably includes at least one of the lateral tensile strength, the longitudinal tensile strength, and the aligning stiffness mentioned in the foregoing derivation.
And S204, solving a model based on preset first tire theoretical model parameters, and determining first tire theoretical model parameters according to the half length of the contact patch and the first characteristic parameters.
In an embodiment of the present invention, the first characteristic parameter is a longitudinal stiffness, the first tire theoretical model parameter solution model is a bristle stiffness solution model, and the first tire theoretical model parameter is a bristle stiffness.
In the embodiment of the present invention, the first characteristic parameter, namely the hydroplaning stiffness, may be determined through a hydroplaning characteristic experiment, and the hydroplaning characteristic experiment also belongs to a tire experiment known to those skilled in the art, and is not described herein again.
In the embodiment of the present invention, as can be seen from the description of step S202 and the formula derived above, the bristle stiffness as one of the tire theoretical model parameters also needs to be used in the solution models of other tire theoretical model parameters, and by adopting a similar writing manner to the remaining tire theoretical model parameters, it is convenient to understand the similarity and difference between the bristle stiffness and the remaining tire theoretical model parameters, and the similarity and difference between the longitudinal sliding stiffness and the remaining tire characteristic parameters.
In the present embodiment, the longitudinal-sliding stiffness K of the tire derived in combination with the above isxWith the ground contact half-length a and bristle stiffness ktMathematical relation between Kx＝2a2ktIt can be seen that the input contact patch has a half-length a and a longitudinal stiffness KxThereafter, the bristle stiffness k can be determinedt。
And S206, solving a model based on preset second tire theoretical model parameters, and determining second tire theoretical model parameters according to the half length of the contact patch, the bristle stiffness and the second characteristic parameters.
In the embodiment of the present invention, preferably, the second characteristic parameter includes at least one of lateral tensile strength, longitudinal tensile strength, and aligning stiffness mentioned in the foregoing derivation.
In the embodiment of the present invention, it should be noted that the technical solution to be protected by the present invention is to separately establish corresponding tire theoretical model parameter solution models for different tire theoretical model parameters, link the tire theoretical model parameters with tire characteristic parameters that can be conveniently obtained by using a mathematical relationship, and solve the different tire theoretical model parameters by using different tire theoretical model parameter solution models for the different tire theoretical model parameters, thereby implementing step-by-step identification of each tire theoretical model parameter.
According to the method for determining the tire theoretical model parameters, provided by the embodiment of the invention, the half length of a grounding trace, a first characteristic parameter and a second characteristic parameter are obtained, wherein the first characteristic parameter is longitudinal and smooth stiffness, then a preset bristle stiffness solving model corresponding to the longitudinal and smooth stiffness of the first characteristic parameter is used for directly determining the bristle stiffness of the tire according to the half length of the grounding trace and the longitudinal and smooth stiffness, further, the preset second tire theoretical model parameter solving model is used for determining the second tire theoretical model parameters according to the half length of the grounding trace, the bristle stiffness and the second characteristic parameter. Compared with the prior art that a plurality of tire theoretical model parameters to be identified such as brush stiffness, longitudinal translation stiffness, torsional stiffness and bending stiffness are jointly constructed into an integral model, then the integral model is identified by utilizing the unity identification of the least square method, the tire theoretical model parameters to be identified are identified simultaneously, the tire theoretical model parameter determining method provided by the embodiment of the invention is used for respectively establishing independent solving models for each tire theoretical model parameter to be identified, namely establishing a mathematical relationship between the tire theoretical model parameter to be identified and a characteristic parameter, and then substituting the characteristic parameter of the tire into the solving model through measuring the characteristic parameter of the tire to correspondingly determine the corresponding tire theoretical model parameter, namely, the tire theoretical model parameter determining method provided by the embodiment of the invention establishes different tire theoretical model parameters to be identified Compared with integral identification, the model is solved, and the randomness of the result is reduced through step-by-step independent solving, namely the accuracy of the model parameters is improved, so that the extending capability and the predicting capability of the finally established tire theoretical model are effectively improved.
The determination process of each theoretical tire model parameter will be specifically given below by combining the above derived formula, and refer to fig. 3 to 6 and the explanation.
As shown in fig. 3, a flowchart of steps of another method for determining theoretical tire model parameters provided in the embodiment of the present invention specifically includes the following steps:
step S302, acquiring the half length of a contact patch, the longitudinal and smooth stiffness and the lateral tensile strength of the tire.
The method for determining the tire theoretical model parameters provided by the embodiment of the invention is mainly used for determining the lateral translational stiffness, wherein the half length of the grounding trace, the longitudinal and smooth stiffness and the lateral tensile strength can be determined through a grounding trace experiment, a longitudinal and smooth characteristic experiment and a lateral tensile experiment respectively, the experiments belong to tire experiments well known by persons skilled in the art, and are not described herein again.
Step S304, based on a preset bristle stiffness solution model, determining bristle stiffness of the tire according to the half length of the contact patch and the longitudinal and smooth stiffness.
In the embodiment of the present invention, similar to the step S204, please refer to the explanation of the step S204 for a specific bristle stiffness solution model, which is not described herein again.
And S306, determining the lateral translation stiffness according to the half length of the grounding trace, the bristle stiffness and the lateral tensile strength based on a preset lateral translation stiffness solution model.
In the present embodiment, the lateral tensile stiffness K derived from the above is combineddyHalf length a of grounding trace and rigidity k of brush hairtAnd lateral translational stiffness KcyMathematical relationship between
It can be seen that the stiffness in tension K is in the input lateral directiondyHalf length of the contact patch a and stiffness of the bristles ktThen, the lateral translational stiffness K can be determinedcy。
As shown in fig. 4, a flowchart of the steps of a method for determining theoretical model parameters of a tire provided in the embodiment of the present invention specifically includes the following steps:
step S402, acquiring the half length of the contact patch, the longitudinal sliding rigidity and the longitudinal tensile strength of the tire.
The method for determining the tire theoretical model parameters provided by the embodiment of the invention is mainly used for determining the longitudinal translational stiffness, wherein the half length of the grounding trace, the longitudinal sliding stiffness and the longitudinal tensile strength can be determined through a grounding trace experiment, a longitudinal sliding characteristic experiment and a longitudinal tensile experiment respectively, the experiments belong to tire experiments well known by persons skilled in the art, and are not described herein again.
And S404, based on a preset bristle stiffness solution model, determining bristle stiffness of the tire according to the half length of the contact patch and the longitudinal and smooth stiffness.
Step S406, based on a preset longitudinal translational stiffness solution model, determining longitudinal translational stiffness according to the half length of the grounding trace, the bristle stiffness and the lateral longitudinal tensile strength.
In an embodiment of the invention, the longitudinal tensile stiffness K derived from the above is combineddxHalf length a of grounding trace and rigidity k of brush hairtAnd longitudinal translational stiffness KcxMathematical relationship between
It can be seen that the stiffness K is stretched in the input longitudinal directiondxGrounding sealTrace half length a and bristle stiffness ktThen, the longitudinal translational stiffness K can be determinedcx。
As shown in fig. 5, a flowchart of steps of a method for determining theoretical model parameters of a tire provided in an embodiment of the present invention specifically includes the following steps:
step S502, acquiring the half length of the contact patch, the longitudinal and smooth stiffness and the aligning stiffness of the tire.
The method for determining the tire theoretical model parameters provided by the embodiment of the invention is mainly used for determining the torsional rigidity, wherein the half length of the grounding trace, the longitudinal and smooth rigidity and the aligning rigidity can be respectively determined through a grounding trace experiment, a longitudinal and smooth characteristic experiment and a linear region lateral deviation characteristic experiment, and the experiments belong to tire experiments well known by persons skilled in the art and are not described herein again.
Step S504, based on a preset bristle stiffness solution model, determining bristle stiffness of the tire according to the half length of the contact patch and the longitudinal and smooth stiffness.
Step S506, based on a preset torsional rigidity solution model, determining torsional rigidity according to the half length of the grounding trace, the bristle rigidity and the aligning rigidity.
In the embodiment of the invention, the derived aligning rigidity K is combinedmAnd ground contact half length a, bristle stiffness ktAnd torsional rigidity NθThere is a corresponding mathematical relationship between
It can be seen that the stiffness K is positive at the inputmHalf length of the contact patch a and stiffness of the bristles ktThen, the torsional rigidity N can be determinedθ。
As shown in fig. 6, a flow chart of steps of a theoretical tire model parameter determining method provided in an embodiment of the present invention is different from the flow chart of steps of the theoretical tire model parameter determining method shown in fig. 5, in that the method further includes the following steps:
step S602, a cornering stiffness of the tire is acquired.
In the embodiment of the invention, the yaw stiffness can also be determined by a linear region yaw characteristic experiment.
Step S604, based on a preset bending stiffness solution model, determining the bending stiffness of the tire according to the half length of the contact patch, the bristle stiffness, the torsional stiffness and the cornering stiffness.
In the present embodiment, similarly, the yaw stiffness K derived in combination with the foregoing isyAnd ground contact half length a, bristle stiffness ktBending stiffness KcbAnd torsional rigidity NθThere is a corresponding mathematical relationship between
It can be seen that the yaw stiffness K is given at the input sideyHalf length of ground contact patch a, and stiffness of bristles ktAnd torsional rigidity NθThen, the bending stiffness K can be determinedcb。
As shown in the foregoing FIGS. 3-6, the lateral translational stiffness K is showncyLongitudinal translational stiffness KcxTorsional rigidity NθAnd bending stiffness KcbThe above parameter solving processes can be combined together in any form to meet different parameter requirements according to actual needs, and of course, all the solving parameter solving models can be integrated into the same program, and meanwhile, the bristle stiffness k in the tire theoretical model parameters can be realizedtLateral translation stiffness KcyLongitudinal translational stiffness KcxTorsional rigidity NθAnd bending stiffness KcbThe schematic diagram of the parameter identification process is shown in fig. 7.
As shown in fig. 7, a schematic diagram of a parameter identification process is provided, in which the input of characteristic parameters required for solving the model by using the model parameters is shown, specifically refer to fig. 7.
Fig. 8 is a schematic structural diagram of a tire theoretical model parameter determining apparatus according to an embodiment of the present invention, which is described in detail below.
In an embodiment of the present invention, the tire theoretical model parameter determination device includes:
the parameter acquiring unit 810 is configured to acquire a contact patch half-length of the tire, a first characteristic parameter, and a second characteristic parameter.
In the embodiment of the present invention, the half-length of the contact patch is mainly determined by a contact patch experiment, wherein the contact patch experiment belongs to a tire experiment familiar to those skilled in the art, and a detailed description of the test process is omitted here.
In the embodiment of the present invention, the first characteristic parameter and the second characteristic parameter belong to the same characteristic parameter, and the characteristic parameter is mainly determined by the corresponding characteristic parameter experiment, but the longitudinal-sliding stiffness K is derived by considering the formulaxOnly with bristle stiffness ktAnd half-length of the contact patch, while the bristle stiffness ktThe longitudinal sliding rigidity K is also required to be used in other theoretical tire model parameter solving models, and therefore, the longitudinal sliding rigidity K isxDifferent from other characteristic parameters, therefore, in the present invention, the first characteristic parameter is the longitudinal sliding rigidity KxThe second characteristic parameter is the longitudinal sliding rigidity KxBesides the above, the second characteristic parameter preferably includes at least one of the lateral tensile strength, the longitudinal tensile strength, and the aligning stiffness mentioned in the foregoing derivation.
The tire theoretical model parameter first solving unit 820 is configured to solve a model based on preset first tire theoretical model parameters, and determine first tire theoretical model parameters according to the half length of the contact patch and the first characteristic parameter.
In an embodiment of the present invention, the first characteristic parameter is a longitudinal stiffness, the first tire theoretical model parameter solution model is a bristle stiffness solution model, and the first tire theoretical model parameter is a bristle stiffness.
In the embodiment of the present invention, the first characteristic parameter, namely the hydroplaning stiffness, may be determined through a hydroplaning characteristic experiment, and the hydroplaning characteristic experiment also belongs to a tire experiment known to those skilled in the art, and is not described herein again.
In the embodiment of the present invention, it can be known by combining the description of the parameter obtaining unit 810 and the formula derived above that, the bristle stiffness as one of the tire theoretical model parameters also needs to be used in the solution models of other tire theoretical model parameters, and by adopting a writing manner similar to the remaining tire theoretical model parameters, it is convenient to understand the similarity and difference between the bristle stiffness and the remaining tire theoretical model parameters, and the similarity and difference between the longitudinal sliding stiffness and the remaining tire characteristic parameters.
In the present embodiment, the longitudinal-sliding stiffness K of the tire derived in combination with the above isxWith the ground contact half-length a and bristle stiffness ktMathematical relation between Kx＝2a2ktIt can be seen that the input contact patch has a half-length a and a longitudinal stiffness KxThereafter, the bristle stiffness k can be determinedt。
The tire theoretical model parameter second solving unit 830 determines a second tire theoretical model parameter according to the contact patch half length, the bristle stiffness, and the second characteristic parameter, based on a preset second tire theoretical model parameter solving model.
In the embodiment of the present invention, preferably, the second characteristic parameter includes at least one of lateral tensile strength, longitudinal tensile strength, and aligning stiffness mentioned in the foregoing derivation.
In the embodiment of the present invention, it should be noted that the technical solution to be protected by the present invention is to separately establish corresponding tire theoretical model parameter solution models for different tire theoretical model parameters, link the tire theoretical model parameters with tire characteristic parameters that can be conveniently obtained by using a mathematical relationship, and solve the different tire theoretical model parameters by using different tire theoretical model parameter solution models for the different tire theoretical model parameters, thereby implementing step-by-step identification of each tire theoretical model parameter.
According to the tire theoretical model parameter determining device provided by the embodiment of the invention, the half length of the grounding trace, the first characteristic parameter and the second characteristic parameter are obtained, wherein the first characteristic parameter is the longitudinal and smooth stiffness, then the brush stiffness of the tire is directly determined according to the half length of the grounding trace and the longitudinal and smooth stiffness based on the preset brush stiffness solving model corresponding to the longitudinal and smooth stiffness of the first characteristic parameter, further, the second tire theoretical model parameter is determined according to the half length of the grounding trace, the brush stiffness and the second characteristic parameter based on the preset second tire theoretical model parameter solving model. Compared with the prior art that a plurality of tire theoretical model parameters to be identified such as brush stiffness, longitudinal translation stiffness, torsional stiffness and bending stiffness are jointly constructed into an integral model, then the integral model is identified by utilizing the unity identification of the least square method, the tire theoretical model parameters to be identified are identified simultaneously, the tire theoretical model parameter determining method provided by the embodiment of the invention is used for respectively establishing independent solving models for each tire theoretical model parameter to be identified, namely establishing the mathematical relationship between the tire theoretical model parameter to be identified and the characteristic parameter, and then substituting the measured characteristic parameter of the tire into the solving model to correspondingly determine the corresponding tire theoretical model parameter, namely, the tire theoretical model parameter determining method provided by the embodiment of the invention establishes different tire theoretical model parameters to be identified Compared with integral identification, the model is solved, and the randomness of the result is reduced through step-by-step independent solving, namely the accuracy of the model parameters is improved, so that the extending capability and the predicting capability of the finally established tire theoretical model are effectively improved.
In one embodiment, a computer device is proposed, the computer device comprising a memory, a processor and a computer program stored on the memory and executable on the processor, the processor implementing the following steps when executing the computer program:
acquiring the half length of a contact patch, a first characteristic parameter and a second characteristic parameter of a tire;
solving a model based on preset first tire theoretical model parameters, and determining first tire theoretical model parameters according to the half length of the contact patch and the first characteristic parameters;
solving a model based on preset second tire theoretical model parameters, and determining second tire theoretical model parameters according to the half length of the contact patch, the bristle stiffness and the second characteristic parameters;
the first characteristic parameter is longitudinal and smooth stiffness, the first tire theoretical model parameter solving model is a bristle stiffness solving model, and the first tire theoretical model parameter is bristle stiffness.
In one embodiment, a computer readable storage medium is provided, having a computer program stored thereon, which, when executed by a processor, causes the processor to perform the steps of: acquiring the half length of a contact patch, a first characteristic parameter and a second characteristic parameter of a tire;
solving a model based on preset first tire theoretical model parameters, and determining first tire theoretical model parameters according to the half length of the contact patch and the first characteristic parameters;
solving a model based on preset second tire theoretical model parameters, and determining second tire theoretical model parameters according to the half length of the contact patch, the bristle stiffness and the second characteristic parameters;
the first characteristic parameter is longitudinal and smooth stiffness, the first tire theoretical model parameter solving model is a bristle stiffness solving model, and the first tire theoretical model parameter is bristle stiffness.
It should be understood that, although the steps in the flowcharts of the embodiments of the present invention are shown in sequence as indicated by the arrows, the steps are not necessarily performed in sequence as indicated by the arrows. The steps are not performed in the exact order shown and described, and may be performed in other orders, unless explicitly stated otherwise. Moreover, at least a portion of the steps in various embodiments may include multiple sub-steps or multiple stages that are not necessarily performed at the same time, but may be performed at different times, and the order of performance of the sub-steps or stages is not necessarily sequential, but may be performed in turn or alternately with other steps or at least a portion of the sub-steps or stages of other steps.
It will be understood by those skilled in the art that all or part of the processes of the methods of the embodiments described above can be implemented by a computer program, which can be stored in a non-volatile computer-readable storage medium, and can include the processes of the embodiments of the methods described above when the program is executed. Any reference to memory, storage, database, or other medium used in the embodiments provided herein may include non-volatile and/or volatile memory, among others. Non-volatile memory can include read-only memory (ROM), Programmable ROM (PROM), Electrically Programmable ROM (EPROM), Electrically Erasable Programmable ROM (EEPROM), or flash memory. Volatile memory can include Random Access Memory (RAM) or external cache memory. By way of illustration and not limitation, RAM is available in a variety of forms such as Static RAM (SRAM), Dynamic RAM (DRAM), Synchronous DRAM (SDRAM), Double Data Rate SDRAM (DDRSDRAM), Enhanced SDRAM (ESDRAM), Synchronous Link DRAM (SLDRAM), Rambus Direct RAM (RDRAM), direct bus dynamic RAM (DRDRAM), and memory bus dynamic RAM (RDRAM).
The technical features of the embodiments described above may be arbitrarily combined, and for the sake of brevity, all possible combinations of the technical features in the embodiments described above are not described, but should be considered as being within the scope of the present specification as long as there is no contradiction between the combinations of the technical features.
The above-mentioned embodiments only express several embodiments of the present invention, and the description thereof is more specific and detailed, but not construed as limiting the scope of the present invention. It should be noted that, for a person skilled in the art, several variations and modifications can be made without departing from the inventive concept, which falls within the scope of the present invention. Therefore, the protection scope of the present patent shall be subject to the appended claims.
The above description is only for the purpose of illustrating the preferred embodiments of the present invention and is not to be construed as limiting the invention, and any modifications, equivalents and improvements made within the spirit and principle of the present invention are intended to be included within the scope of the present invention.
Claims (7)
1. A method for determining theoretical model parameters of a tire, the method comprising:
acquiring the half length of a grounding mark, a first characteristic parameter and a second characteristic parameter of a tire;
solving a model based on preset first tire theoretical model parameters, and determining first tire theoretical model parameters according to the half length of the grounding mark and the first characteristic parameters;
solving a model based on preset second tire theoretical model parameters, and determining second tire theoretical model parameters according to the half length of the grounding mark, the bristle stiffness and the second characteristic parameters;
the first characteristic parameter is longitudinal and smooth stiffness, the first tire theoretical model parameter solving model is a bristle stiffness solving model, and the first tire theoretical model parameter is bristle stiffness;
the second characteristic parameter is one of lateral tensile strength, longitudinal tensile strength and aligning rigidity;
when the second characteristic parameter is lateral tensile strength, the step of solving the model based on the preset second tire theoretical model parameter and determining the second tire theoretical model parameter according to the half length of the grounding mark, the bristle stiffness and the second characteristic parameter specifically comprises the following steps:
and solving a model based on preset lateral translation rigidity, and determining the lateral translation rigidity according to the half length of the grounding mark, the bristle rigidity and the lateral tensile strength.
2. The method for determining theoretical tire model parameters according to claim 1, wherein when the second characteristic parameter is longitudinal tensile strength, the step of determining the theoretical tire model parameters based on the half-length of the ground contact mark, the bristle stiffness and the second characteristic parameter includes:
and determining the longitudinal translational stiffness according to the half length of the grounding mark, the bristle stiffness and the longitudinal tensile strength based on a preset longitudinal translational stiffness solution model.
3. The method for determining theoretical tire model parameters according to claim 1, wherein when the second characteristic parameter is return stiffness, the step of determining the theoretical tire model parameters based on the preset second theoretical tire model parameters solving model and the ground contact mark half length, bristle stiffness and the second characteristic parameter is specifically as follows:
and determining the torsional rigidity according to the half length of the grounding mark, the bristle rigidity and the aligning rigidity based on a preset torsional rigidity solving model.
4. The method of determining theoretical model parameters for a tire according to claim 3, further comprising:
acquiring the cornering stiffness of the tire;
and determining the bending stiffness of the tire according to the half length of the grounding mark, the bristle stiffness, the torsional stiffness and the cornering stiffness based on a preset bending stiffness solution model.
5. A theoretical model parameter determination apparatus for a tire, the apparatus comprising:
the parameter acquisition unit is used for acquiring the half length of the grounding mark of the tire, a first characteristic parameter and a second characteristic parameter;
the tire theoretical model parameter first solving unit is used for solving a model based on preset first tire theoretical model parameters and determining first tire theoretical model parameters according to the half length of the grounding mark and the first characteristic parameters;
the tire theoretical model parameter second solving unit is used for solving a model based on preset second tire theoretical model parameters and determining second tire theoretical model parameters according to the half length of the grounding mark, the bristle stiffness and the second characteristic parameters;
the first characteristic parameter is longitudinal and smooth stiffness, the first tire theoretical model parameter solving model is a bristle stiffness solving model, and the first tire theoretical model parameter is bristle stiffness;
the second characteristic parameter is one of lateral tensile strength, longitudinal tensile strength and aligning rigidity; when the second characteristic parameter is lateral tensile strength, the step of solving the model based on the preset second tire theoretical model parameter and determining the second tire theoretical model parameter according to the half length of the grounding mark, the bristle stiffness and the second characteristic parameter specifically comprises the following steps:
and solving a model based on preset lateral translation rigidity, and determining the lateral translation rigidity according to the half length of the grounding mark, the bristle rigidity and the lateral tensile strength.
6. A computer arrangement, characterized by comprising a memory and a processor, the memory having stored therein a computer program which, when executed by the processor, causes the processor to carry out the steps of the method of determining theoretical tire model parameters according to any one of claims 1 to 4.
7. A computer-readable storage medium, having stored thereon a computer program which, when being executed by a processor, causes the processor to carry out the steps of the method for determining theoretical model parameters of a tire as claimed in any one of claims 1 to 4.
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| EP3023761A2 (en) * | 2014-11-21 | 2016-05-25 | The Goodyear Tire & Rubber Company | Tire cornering stiffness estimation system and method |
| CN107145683A (en) * | 2017-06-06 | 2017-09-08 | 吉林大学 | A kind of discrimination method of UniTire tire models parameter |
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|---|---|---|---|---|
| EP3023761A2 (en) * | 2014-11-21 | 2016-05-25 | The Goodyear Tire & Rubber Company | Tire cornering stiffness estimation system and method |
| CN107145683A (en) * | 2017-06-06 | 2017-09-08 | 吉林大学 | A kind of discrimination method of UniTire tire models parameter |
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| 复合工况下轮胎稳态模型研究;许男;《中国博士学位论文全文数据库工程科技Ⅱ辑》;20130315;23 * |
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