Method of matching a wheel and a tire

Abstract

This invention relates to a method for matching wheels and tires. The method includes the following steps: a measurement step, which measures the inner runout and outer runout of the wheel; an extraction and setting step, which extracts and sets the principal component of the measured waveform of the inner runout as the inner runout waveform, and extracts and sets the principal component of the measured waveform of the outer runout as the outer runout waveform; a comparison step, which compares the inner minimum value (which is the minimum value of the inner runout waveform) and the outer minimum value (which is the minimum value of the outer runout waveform) with a predetermined runout reference value; and a determination step, which, based on the result of the comparison step, determines the assembly reference position of the wheel based on the inner minimum value or the outer minimum value, or based on the waveform obtained from the inner runout waveform and the outer runout waveform.

Description

Technical Field

[0001] This invention relates to a method for matching the wheels and tires of a vehicle. Background Technology

[0002] Tires and wheels should ideally be manufactured to have uniform characteristics in the circumferential direction, but most tires and wheels are generally produced with slight imbalances.

[0003] Taking these imbalances into account, when the tire and wheel are combined, the location of the maximum radial force variation (RFV) and the location of the minimum wheel runout are matched in the circumferential direction of the tire, thereby minimizing the circumferential imbalance of the entire wheel and tire assembly.

[0004] The above description of related technologies is only for the purpose of helping to understand the background of the present invention and should not be construed as including related technologies known to those skilled in the art. Summary of the Invention

[0005] One object of the present invention is to provide a method for matching wheels and tires to achieve a more precise match between the wheels and tires, thereby improving the ride comfort of vehicle occupants by minimizing vibration or sway when driving a vehicle equipped with matched wheels and tires.

[0006] To achieve the objective of this invention, a method for matching wheels and tires includes the following steps: a measurement step, which measures the inner runout and outer runout of the wheel; an extraction and setting step, which extracts and sets the principal component of the measured waveform of the inner runout as the inner runout waveform, and extracts and sets the principal component of the measured waveform of the outer runout as the outer runout waveform; a comparison step, which compares the inner minimum value (which is the minimum value of the inner runout waveform) and the outer minimum value (which is the minimum value of the outer runout waveform) with a predetermined runout reference value; and a determination step, which determines the assembly reference position of the wheel based on the result of the comparison step, either based on the inner minimum value or the outer minimum value, or based on the waveform obtained from the inner runout waveform and the outer runout waveform.

[0007] In a wheel and tire assembly formed by combining wheels and tires, the assembly reference position of the wheel is matched with the position of the tire's maximum RFV.

[0008] When both the inner minimum value and the outer minimum value are greater than or equal to the runout reference value, the assembly reference position of the wheel can be determined as the position of the minimum value of the waveforms obtained from the inner runout waveform and the outer runout waveform.

[0009] When both the inner minimum value and the outer minimum value are less than the runout reference value, the assembly reference position of the wheel can be determined as the position of the larger of the inner minimum value and the outer minimum value.

[0010] When only one of the inner minimum value and the outer minimum value is greater than or equal to the runout reference value, the assembly reference position of the wheel is determined to be the position of the one of the inner minimum value and the outer minimum value that is greater than or equal to the runout reference value.

[0011] For the runout reference value, an error function is obtained by reflecting the error of the measuring device that measures the inner and outer runout. A virtual wheel and tire assembly is formed by combining several virtual wheel samples based on the error function with a predetermined tire model. When the predetermined temporary runout reference value changes, a simulation for obtaining the RFV of the virtual wheel and tire assembly is applied to all virtual wheels and tire assemblies, thereby determining the temporary runout reference value that minimizes the average value of the RFV of the virtual wheel and tire assembly as the runout reference value.

[0012] The error function can be obtained through the following steps: obtaining several inner minimum values ​​and their standard deviations of phase angle, outer minimum values ​​and their standard deviations of phase angle, and the minimum value of the obtained waveform and its standard deviation of phase angle, wherein the several inner minimum values ​​are obtained by measuring several wheel runouts via a measuring device; displaying all values ​​on the coordinate plane composed of the magnitude of the runout and the standard deviation of the phase angle; and deriving the regression curve of the points displayed on the coordinate plane.

[0013] Several virtual wheel samples can be created in a predetermined number such that the mean and standard deviation of each of the inner minimum and outer minimum follow a normal distribution with a predetermined reference mean and reference standard deviation.

[0014] In several virtual wheel samples, the phase angle of the inner minimum can be fixed at 0°, and the phase angle of the outer minimum can be randomly set within the range of 0° to 360°.

[0015] According to the error function, several virtual wheel samples can have a phase angle that is corrected by: obtaining the standard deviation of the phase angle, and then adding a randomly determined phase angle within the standard deviation to the phase of the virtual wheel sample, wherein the standard deviation of the phase angle is obtained by substituting the bounce of the virtual wheel sample into the error function.

[0016] The tire model used to configure virtual wheels and tire components by combining them with virtual wheel samples can have a constant reference RFV.

[0017] According to the present invention, a more precise match between wheels and tires can be achieved, thereby improving the ride comfort of vehicle occupants by minimizing vibration or sway when driving a vehicle equipped with matched wheels and tires.

[0018] In particular, when matching wheels and tires, the matching point between the wheels and tires can be determined more accurately by taking into account the characteristics of the measuring device that measures wheel runout. Attached Figure Description

[0019] The above and other objects, features and advantages of the invention will be more clearly understood from the following detailed description taken in conjunction with the accompanying drawings, wherein:

[0020] Figure 1 A flowchart illustrating an embodiment of the method for matching wheels and tires according to the present invention.

[0021] Figure 2 To illustrate in detail how the inner minimum and outer minimum are compared with... Figure 1 A schematic diagram illustrating a method for determining the assembly reference position of a wheel by comparing its runout reference value with the reference value in the diagram.

[0022] Figure 3 This diagram illustrates the matching of wheels and tires when both the inner minimum and outer minimum values ​​are at or above the runout reference value.

[0023] Figure 4 This diagram illustrates the matching of wheels and tires when the minimum inner value is at or above the runout reference value;

[0024] Figure 5 This diagram illustrates the matching of wheels and tires when the minimum outer value is at or above the reference value for runout.

[0025] Figure 6 A schematic diagram illustrating an example of an error function;

[0026] Figure 7 Here is an example histogram of 5000 virtual wheel samples when the inner minimum follows a normal distribution;

[0027] Figure 8 Here is an example histogram of 5000 virtual wheel samples when the outer minimum follows a normal distribution;

[0028] Figure 9 This is a schematic diagram illustrating 5000 virtual wheel samples when the phase angle of the inner minimum is fixed at 0°;

[0029] Figure 10 This is a schematic diagram illustrating 5000 virtual wheel samples when the phase angle of the outer minimum value is randomly set within the range of 0° to 360°;

[0030] Figure 11 This is a schematic diagram illustrating the matching of tire models and virtual wheel samples based on an error function.

[0031] Figure 12 A graph showing the average RFV of all virtual wheel and tire components as the temporary runout reference value (Rm) changes. Detailed Implementation

[0032] It should be understood that the term "vehicle" or "of a vehicle" or other similar terms as used herein generally include motor vehicles, such as passenger cars including sport utility vehicles (SUVs), buses, trucks, and various commercial vehicles, boats including various vessels and ships, aircraft, etc., and includes hybrid vehicles, electric vehicles, plug-in hybrid electric vehicles, hydrogen-powered vehicles, and other alternative fuel vehicles (e.g., vehicles derived from non-fossil fuels). As mentioned herein, a hybrid vehicle is a vehicle with two or more power sources, such as a vehicle powered by both gasoline and electricity.

[0033] The terminology used herein is for the purpose of describing particular embodiments only and is not intended to limit the invention. As used herein, the singular forms “a,” “an,” and “described” are intended to include the plural forms as well, unless the context clearly indicates otherwise. It will also be understood that when the terms “comprising” and / or “including” are used in this specification, they indicate the presence of the stated feature, value, step, operation, element, and / or component, but do not exclude the presence or addition of one or more other features, values, steps, operations, elements, components, and / or groups thereof. As used herein, the term “and / or” includes any and all combinations of one or more of the associated enumerated items. Throughout this specification, unless expressly stated otherwise, the term “comprising” and variations such as “including” and / or “containing” will be understood to implicitly include the stated elements without excluding any other elements. Additionally, the terms “unit,” “device,” “component,” and “module” described herein are used to perform at least one function and operation and can be implemented by hardware components or software components and combinations thereof.

[0034] Furthermore, the control logic of the present invention can be implemented as a non-volatile computer-readable medium on a computer-readable medium, which contains executable program instructions that are executed by a processor, controller, etc. Examples of computer-readable media include, but are not limited to, ROM, RAM, optical disc (CD)-ROM, magnetic tape, floppy disk, flash drive, smart card, and optical data storage device. The computer-readable recording medium can also be distributed across a network-connected computer system, such that the computer-readable medium is stored and executed in a distributed manner, for example, via a telematics server or a controller area network (CAN).

[0035] In the following description, the structural or functional descriptions of exemplary embodiments based on the concept of the present invention are intended to describe exemplary embodiments, and therefore it should be understood that the present invention may be implemented differently and is not limited to the exemplary embodiments.

[0036] The embodiments described herein can be modified in various ways and can have various shapes; therefore, specific embodiments are shown in the accompanying drawings and will be described in detail in this specification. However, it should be understood that exemplary embodiments based on the invention concept are not limited to the embodiments described below with reference to the accompanying drawings, and all modifications, equivalents, and substitutions are included within the scope and spirit of the invention.

[0037] It should be understood that although various elements may be described herein using terms such as first and / or second, these elements should not be limited by these terms. These terms are used only to distinguish one element from another. For example, a first element discussed below may be referred to as a second element without departing from the proper scope of the invention. Similarly, a second element may also be referred to as a first element.

[0038] It should be understood that when an element is referred to as "connected to" or "joined to" another element, it can be directly connected to or joined to another element, or connected to or joined to another element in the presence of other elements interposed therebetween. On the other hand, it should be understood that when an element is referred to as "directly connected to" or "directly joined to" another element, it can be connected to or joined to another element without any other elements interposed therebetween. Furthermore, the terms used herein to describe the relationship between elements, namely "between," "directly between," "adjacent," or "directly adjacent," should be interpreted in the same manner as described above.

[0039] The terminology used herein is for the purpose of describing particular embodiments only and is not intended to limit the invention. Singular forms are intended to include plural forms unless the context clearly indicates otherwise.

[0040] Unless otherwise defined, all terms used herein (including technical or scientific terms) have the same meaning as commonly understood by one of ordinary skill in the art to which this invention pertains. It must be understood that terms as defined in dictionaries have the same meaning in the context of the relevant art, and terms should not be ideally or overly formally defined unless the context clearly indicates otherwise.

[0041] The invention will be described in detail below with reference to the accompanying drawings, which describe exemplary embodiments of the invention. The same reference numerals given in the drawings denote the same components.

[0042] refer to Figure 1 The method for matching wheels and tires according to the present invention includes: measuring the inner runout and outer runout of the wheel (S10); extracting and setting the principal component of the measured waveform of the inner runout as the inner runout waveform W_IN, and extracting and setting the principal component of the measured waveform of the outer runout as the outer runout waveform W_OUT (S20); comparing the inner minimum value IN, which is the minimum value of the inner runout waveform W_IN, and the outer minimum value OUT, which is the minimum value of the outer runout waveform W_OUT, with a predetermined runout reference value Rm (S30); and determining the assembly reference position of the wheel based on the comparison result, either the inner minimum value IN or the outer minimum value OUT, or the waveform AVG obtained from the inner runout waveform W_IN and the outer runout waveform W_OUT (S40).

[0043] In other words, according to the present invention, the inner runout and outer runout of the wheel can be measured separately, and the inner minimum value IN and outer minimum value OUT can be obtained using the measured data. The inner minimum value and outer minimum value are compared with a predetermined runout reference value Rm, and the assembly reference position of the wheel is appropriately determined based on the comparison result.

[0044] Clearly, after determining the assembly reference position of the wheel, the wheel and tire are combined to form a wheel and tire assembly. The wheel and tire assembly is formed such that the assembly reference position of the wheel matches the position of the tire's maximum radial force deviation (RFV).

[0045] Accordingly, because the position where the wheel's dominant runout is minimal matches the position where the tire's RFV is maximum, the wheel and tire assembly has maximum and uniform circumferential physical characteristics. Therefore, when a vehicle equipped with this wheel and tire assembly is in motion, unwanted vibrations are minimized, thereby improving the vehicle's ride comfort.

[0046] The principal components of the inner bounce waveform W_IN are extracted and obtained by applying Fourier transform to the inner bounce measurement waveform, and the principal components of the outer bounce waveform W_OUT are extracted and obtained by applying Fourier transform to the outer bounce measurement waveform.

[0047] Accordingly, the inner minimum value IN is determined as the minimum value of the principal component curve obtained by applying a Fourier transform to the waveform measuring the inner bounce, while the outer minimum value OUT is determined as the minimum value of the principal component curve obtained by applying a Fourier transform to the waveform measuring the outer bounce.

[0048] When comparing the inner minimum value IN and the outer minimum value OUT with the runout reference value Rm (S30) and determining the wheel assembly reference position based on the comparison result (S40), such as Figures 2 to 5 As shown, when both the inner minimum value IN and the outer minimum value OUT are at or above the runout reference value Rm, the wheel assembly reference position is determined as the position of the minimum value of the waveform AVG obtained from the inner runout waveform W_IN and the outer runout waveform W_OUT (see...). Figure 3 ).

[0049] When both the inner minimum value IN and the outer minimum value OUT are less than the runout reference value Rm, the assembly reference position of the wheel is determined to be the larger of the inner minimum value IN and the outer minimum value OUT.

[0050] The inner minimum value IN and the outer minimum value OUT can be the same, and in this case, as shown in the figure, the assembly reference position of the wheel can be determined as the position of the inner minimum value IN.

[0051] When only one of the inner minimum value IN and the outer minimum value OUT is a runout reference value Rm or higher, the assembly reference position of the wheel is determined to be the position of the inner minimum value IN and the outer minimum value OUT that is a runout reference value Rm or higher.

[0052] In other words, the position of the larger of the inner minimum value IN and the outer minimum value OUT is determined as the assembly reference position of the wheel. However, when both the inner minimum value IN and the outer minimum value OUT are the runout reference value Rm or above, the minimum value of the obtained waveform AVG is determined as the assembly reference position of the wheel.

[0053] Compare the inner minimum value IN and the outer minimum value OUT with the bounce reference value Rm, such as Figures 3 to 5 As shown, the bounce reference value Rm is displayed below the inner bounce waveform W_IN or the outer bounce waveform W_OUT, and is considered negative, which may cause confusion when comparing sizes.

[0054] Accordingly, such as Figures 3 to 5 As shown, when the minimum value of the inner bounce waveform W_IN or the outer bounce waveform W_OUT exceeds the bounce reference value Rm and is located at a lower position, it is determined that the inner minimum value IN or the outer minimum value OUT is greater than the bounce reference value Rm.

[0055] For reference, at each location, the resulting waveform AVG is obtained by adding one period of the inner bounce waveform W_IN and one period of the outer bounce waveform W_OUT (see [reference]). Figure 3 ).

[0056] For the runout reference value RM, an error function is obtained by reflecting the error of the measuring device that measures the inner and outer runout. A virtual wheel and tire assembly is formed by combining several virtual wheel samples based on the error function with a predetermined tire model. When the predetermined temporary runout reference value Rm changes, a simulation for obtaining the RFV of the virtual wheel and tire assembly is applied to all virtual wheels and tire assemblies, thereby determining the temporary runout reference value Rm that minimizes the average value of the RFV of the virtual wheel and tire assembly as the runout reference value Rm.

[0057] In other words, the resulting runout reference value Rm is used to determine the assembly reference position of the wheel while taking into account the error characteristics of the measuring device. This assembly reference position can minimize the RFV of the wheel and tire assembly.

[0058] The error function can be obtained through the following steps: obtaining several inner minimum values ​​IN and their standard deviations of phase angles, outer minimum values ​​OUT and their standard deviations of phase angles, and the minimum value of the obtained waveform AVG and its standard deviation of phase angles, wherein the several inner minimum values ​​IN are obtained by measuring the runout of several wheels via a measuring device; displaying all values ​​on the coordinate plane composed of the magnitude of the runout and the standard deviation of the phase angles; and deriving the regression curve of the points displayed on the coordinate plane.

[0059] Figure 6 An example of obtaining the error function using the above method is shown, wherein several wheels of 17 inches, 18 inches and 19 inches are prepared for each level of bounce, and the position and phase angle of the inner minimum value IN and its phase angle, the outer minimum value OUT and its phase angle, and the minimum value of the resulting waveform AVG are measured at least 100 times and derived from them using the above method.

[0060] A number of virtual wheel samples are created such that the mean and standard deviation of each of the inner minimum (IN) and outer minimum (OUT) follow a normal distribution with a predetermined reference mean and reference standard deviation.

[0061] For example, Figure 7To illustrate the histogram of 5000 virtual wheel samples following a normal distribution, where the mean of the inner minimum (IN) is 0.15 mm and the standard deviation is 0.09 mm. (Reference) Figure 7 Assuming that a runout of 0.3 mm or less is considered a good product, approximately 94% of the virtual wheel samples are good products, because approximately 6.1% of the virtual wheel samples have a runout of 0.3 mm or more. Accordingly, it can be determined that the overall virtual wheel samples have a runout distribution that reflects the current situation.

[0062] Similarly, Figure 8 To illustrate the histogram of 5000 virtual wheel samples following a normal distribution, where the mean of the outermost minimum (OUT) is 0.15 mm and the standard deviation is 0.09 mm. (Reference) Figure 8 Assuming that a runout of 0.3 mm or less is considered a good product, approximately 94% or more of the virtual wheel samples were identified as good products, because approximately 5.4% of the virtual wheel samples had a runout of 0.3 mm or more. Accordingly, it can be determined that the overall virtual wheel samples have a runout distribution that reflects the current situation.

[0063] exist Figure 7 and Figure 8 In the example, the reference mean is 0.15 mm and the reference standard deviation is 0.09 mm, and the reference mean and reference standard deviation can be changed as appropriate as needed.

[0064] In several virtual wheel samples, the phase angle of the inner minimum value IN is fixed at 0°, and the phase angle of the outer minimum value OUT is randomly set within the range of 0° to 360°.

[0065] For example, such as Figure 9 and Figure 10 As shown, for 5000 virtual wheel samples, the phase angle of the inner minimum value IN is fixed at 0°, and the phase angle of the outer minimum value OUT is randomly set in the range of 0° to 360°, so that approximately 140 virtual wheel samples can be evenly distributed at each phase angle set at intervals of 10°.

[0066] This is because when the phase angle of the inner minimum value IN is fixed at 0°, the phase angle of the outer minimum value OUT can be changed to make the phase difference between the inner minimum value IN and the outer minimum value OUT, measured on both the inner and outer sides of the wheel, easily distributed evenly.

[0067] Several virtual wheel samples based on the error function are obtained by applying several virtual wheel samples configured as described above to the error function.

[0068] In other words, according to the error function, several virtual wheel samples have a phase angle that is corrected by: obtaining the standard deviation of the phase angle, and then adding a randomly determined phase angle within the standard deviation to the phase of the virtual wheel sample, wherein the standard deviation of the phase angle is obtained by substituting the bounce of the virtual wheel sample into the error function.

[0069] For example, when any of several virtual wheel samples has a runout of 0.1 mm (the larger of the inner minimum IN and the outer minimum) and a phase angle of 180°, the runout can be substituted into... Figure 6 The error function shown is used to obtain a standard deviation of 27, thus allowing the phase angle of the virtual wheel sample to be randomly determined within a range of 180° ± 27°. Accordingly, for example, the random phase angle is determined to be 20°, which is added to the original phase angle of 180°, resulting in a final corrected phase angle of 200°.

[0070] When this process is applied to all virtual wheel samples, several virtual wheel samples are obtained according to the error function. Furthermore, the virtual wheel and tire assemblies are configured by matching the virtual wheel samples to the tire model, and simulations for obtaining the RFV of the virtual wheel and tire assemblies are applied to all virtual wheel and tire assemblies.

[0071] The tire model, which is configured by combining virtual wheel and tire components with virtual wheel samples, has a constant reference RFV.

[0072] For example, the reference RFV for a tire model can be set to 6.0 kgf.

[0073] Figure 11 This is a schematic diagram illustrating the matching of the above tire model and virtual wheel sample according to the error function.

[0074] The simulation is used to obtain the RFV of all virtual wheels and tire assemblies when the predetermined temporary runout reference value Rm is changed, wherein the temporary runout reference value Rm that minimizes the average RFV of the virtual wheels and tire assemblies is determined as the runout reference value Rm.

[0075] For example, Figure 12 A graph showing the average RFV of all virtual wheel and tire assemblies when the temporary runout reference value (Rm) is changed according to the above simulation is provided. It can be seen that the temporary runout reference value Rm becomes the minimum at approximately 0.07, and in this case, the runout reference value Rm is 0.07.

[0076] from Figure 12 It can be expected that the runout reference value Rm can be determined as a number of values ​​appropriately determined within a very small range, such as approximately 0.01 mm, approximately 0.2 mm, but not limited to this.

[0077] Although the invention has been described with reference to specific embodiments shown in the accompanying drawings, it will be apparent to those skilled in the art that changes and modifications can be made to the invention in various ways without departing from the scope of the invention as described in the appended claims.

Claims

1. A method for matching wheels and tires, comprising the following steps: The measurement procedure involves measuring the inner and outer runout of the wheel. The extraction and setting steps involve extracting and setting the principal component of the inner runout measurement waveform as the inner runout waveform, and extracting and setting the principal component of the outer runout measurement waveform as the outer runout waveform. The comparison step compares the inner minimum value (which is the minimum value of the inner bounce waveform) and the outer minimum value (which is the minimum value of the outer bounce waveform) with a predetermined bounce reference value. The determination step, based on the results of the comparison step, determines the assembly reference position of the wheel based on the inner minimum value or the outer minimum value, or based on the waveforms obtained from the inner and outer runout waveforms. In the wheel and tire assembly formed by combining the wheel and tire, the assembly reference position of the wheel is matched with the position of the maximum radial force deviation of the tire. When both the inner minimum value and the outer minimum value are greater than or equal to the runout reference value, the assembly reference position of the wheel is determined as the position of the minimum value of the waveforms obtained from the inner runout waveform and the outer runout waveform.

2. A method for matching wheels and tires, comprising the following steps: The measurement procedure involves measuring the inner and outer runout of the wheel. The extraction and setting steps involve extracting and setting the principal component of the inner runout measurement waveform as the inner runout waveform, and extracting and setting the principal component of the outer runout measurement waveform as the outer runout waveform. The comparison step compares the inner minimum value (which is the minimum value of the inner bounce waveform) and the outer minimum value (which is the minimum value of the outer bounce waveform) with a predetermined bounce reference value. The determination step, based on the results of the comparison step, determines the assembly reference position of the wheel based on the inner minimum value or the outer minimum value, or based on the waveforms obtained from the inner and outer runout waveforms. In the wheel and tire assembly formed by combining the wheel and tire, the assembly reference position of the wheel is matched with the position of the maximum radial force deviation of the tire. When both the inner minimum value and the outer minimum value are less than the runout reference value, the assembly reference position of the wheel is determined to be the larger of the inner minimum value and the outer minimum value.

3. A method for matching wheels and tires, comprising the following steps: The measurement procedure involves measuring the inner and outer runout of the wheel. The extraction and setting steps involve extracting and setting the principal component of the inner runout measurement waveform as the inner runout waveform, and extracting and setting the principal component of the outer runout measurement waveform as the outer runout waveform. The comparison step compares the inner minimum value (which is the minimum value of the inner bounce waveform) and the outer minimum value (which is the minimum value of the outer bounce waveform) with a predetermined bounce reference value. The determination step, based on the results of the comparison step, determines the assembly reference position of the wheel based on the inner minimum value or the outer minimum value, or based on the waveforms obtained from the inner and outer runout waveforms. In the wheel and tire assembly formed by combining the wheel and tire, the assembly reference position of the wheel is matched with the position of the maximum radial force deviation of the tire. Specifically, when only one of the inner minimum value and the outer minimum value is greater than or equal to the runout reference value, the assembly reference position of the wheel is determined to be the position of the one of the inner minimum value and the outer minimum value that is greater than or equal to the runout reference value.

4. A method for matching wheels and tires, comprising the following steps: The measurement procedure involves measuring the inner and outer runout of the wheel. The extraction and setting steps involve extracting and setting the principal component of the inner runout measurement waveform as the inner runout waveform, and extracting and setting the principal component of the outer runout measurement waveform as the outer runout waveform. The comparison step compares the inner minimum value (which is the minimum value of the inner bounce waveform) and the outer minimum value (which is the minimum value of the outer bounce waveform) with a predetermined bounce reference value. The determination step, based on the results of the comparison step, determines the assembly reference position of the wheel based on the inner minimum value or the outer minimum value, or based on the waveforms obtained from the inner and outer runout waveforms. In the wheel and tire assembly formed by combining the wheel and tire, the assembly reference position of the wheel is matched with the position of the maximum radial force deviation of the tire. Specifically, for the runout reference value, an error function is obtained by reflecting the error of the measuring device that measures the inner and outer runout. Virtual wheels and tire assemblies are formed by combining several virtual wheel samples based on the error function with a predetermined tire model. When the predetermined temporary runout reference value changes, a simulation for obtaining the radial force deviation of the virtual wheels and tire assemblies is applied to all virtual wheels and tire assemblies, thereby determining the temporary runout reference value where the average radial force deviation of the virtual wheels and tire assemblies is minimized as the runout reference value.

5. The method according to claim 4, wherein, The error function is obtained through the following steps: obtaining several inner minimum values ​​and their standard deviations of phase angle, outer minimum values ​​and their standard deviations of phase angle, and the minimum value of the obtained waveform and its standard deviation of phase angle. The several inner minimum values ​​are obtained by measuring the runout of several wheels via a measuring device; displaying all values ​​on the coordinate plane composed of the runout magnitude and the standard deviation of the phase angle; and deriving the regression curve of the points displayed on the coordinate plane.

6. The method of claim 4, wherein, A number of virtual wheel samples are created such that the mean and standard deviation of each of the inner minimum and outer minimum follow a normal distribution with a predetermined reference mean and reference standard deviation.

7. The method of claim 6, wherein, In several virtual wheel samples, the phase angle of the inner minimum is fixed at 0°, while the phase angle of the outer minimum is randomly set within the range of 0° to 360°.

8. The method according to claim 7, wherein, The virtual wheel samples based on the error function have phase angles that are corrected by: obtaining the standard deviation of the phase angles, and then adding a randomly determined phase angle within the standard deviation to the phase of the virtual wheel sample, wherein the standard deviation of the phase angles is obtained by substituting the bounce of the virtual wheel sample into the error function.

9. The method of claim 8, wherein, The tire model used to configure virtual wheels and tire assemblies by combining them with virtual wheel samples has a constant reference radial force deviation.

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