A rapid evaluation method, system and program product for the noise of a complex pattern tire

Abstract

The present invention relates to the technical field of tire simulation design, and in particular to a method, system and program product for rapidly evaluating the noise of a tire with complex tread patterns. The method establishes a tire model with a complex tread pattern distribution, simulates the static loading and steady-state rolling processes, divides the tire rolling into multiple incremental steps to collect the vertical impact force and horizontal friction force in real time, and uses a preset weight to synthesize the data and then performs Fourier transform to generate a frequency-amplitude curve, so as to realize the rapid evaluation of low, medium and high frequency noises. The experimental results show that the overall calculation time is shortened from more than 12 hours by the traditional method to about 3 hours, the data processing only takes 1 minute, and the evaluation error is less than 5%, providing a reliable basis for tire design optimization.

Description

Technical Field

[0001] The present invention relates to the technical field of tire simulation design, and in particular, to a method, a system and a program product for rapidly evaluating the noise of a complex pattern tire. Background Art

[0002] In recent years, with the continuous upgrading of the automotive industry and the increasing requirements of consumers for driving comfort and in-vehicle quiet environment, tire design is developing towards high performance and low noise. In this process, due to its unique pattern structure design, complex pattern tires have significant advantages in grip, heat dissipation, hydroplaning resistance and aesthetic effect, and have gradually become an important trend in tire design. However, the complex pattern structure also brings new challenges to the tire noise problem.

[0003] Traditional tire noise evaluation methods mainly include three categories: experimental testing, empirical formulas and simulation analysis:

[0004] 1. The experimental testing method is usually carried out in an anechoic chamber, and it is necessary to manufacture an actual tire, install a special testing device and equip precise noise measuring instruments. This method can relatively truly reflect the noise level of the tire under actual working conditions. However, due to the high cost of testing equipment, cumbersome processes, long testing cycles, and great influence by factors such as the testing environment, it has great limitations in practical applications. In addition, the manufacturing and installation processes of the tire in the experimental testing process have high requirements, increasing the testing cost and implementation difficulty.

[0005] 2. In order to improve the testing speed, some researchers and engineers have proposed a noise evaluation method based on historical data and empirical formulas. Although this method has a fast calculation speed, due to the lack of detailed physical modeling of the tire structure and working state, its evaluation accuracy is usually low and it is difficult to meet the requirements of modern tire design for high-precision noise prediction.

[0006] 3. At present, the mainstream method in the field of tire noise evaluation is the simulation method. Traditional simulation methods generally require explicit dynamic rolling analysis of the entire tire model, that is, simulating the complete rolling of the tire for one week, collecting the speed or acceleration data of each node, and then using the finite element method or the boundary element method for noise radiation analysis. Although this method can theoretically balance the calculation speed and accuracy, its calculation process is usually very cumbersome, the required calculation time is long (the calculation time of some traditional methods often exceeds 12 hours), and secondary mapping and additional calculations are required in data processing, increasing the implementation difficulty and resource consumption. And traditional simulation analysis has problems such as a large amount of data, a long calculation cycle and difficult accuracy guarantee when dealing with these complex factors. Summary of the Invention

[0007] To solve the above technical problems, the object of the present invention is to provide a rapid evaluation method for the noise of complex pattern tires, which not only solves the problems of large equipment investment, long cycle of existing experimental testing methods and complex calculation and long time of simulation methods, but also achieves remarkable results in accurately reflecting the actual noise characteristics of tires, providing an efficient, accurate and practical alternative for the rapid evaluation technology of tire noise.

[0008] To achieve the above object, the present invention adopts the following technical solutions:

[0009] A rapid evaluation method for the noise of complex pattern tires, the method comprising the following steps:

[0010] a) Establish a tire model with different proportion and intercept distributions, and apply a rated air pressure and a road surface load on the model to achieve static load numerical simulation;

[0011] b) Based on the tire model and the static load, calculate the steady-state rolling state of the tire, that is, apply a translational velocity V and a rotational angular velocity W about the wheel axis to all nodes of the tire;

[0012] c) Under the steady-state rolling condition, fix the Z-direction position of the road surface, keep the distance d between the wheel axis and the road surface unchanged, and at the same time rotate the wheel rim 2π about the wheel axis and synchronously horizontally displace the road surface 2π×d, and divide the whole process into m incremental steps;

[0013] d) In each incremental step, extract the Z-direction reaction force and X-direction reaction force curves at the road surface respectively, where the Z-direction reaction force represents the vertical impact force and the X-direction reaction force represents the frictional force, and synthesize them according to the formula F i =Z i +a·X i ;

[0014] where F i represents the synthesized force value, Z i represents the vertical impact force at the i-th moment, X i represents the horizontal frictional force at the i-th moment, i represents the moment, taking values from 1 to m, and a represents the weight coefficient of the frictional force, taking values from 0.1 to 0.2;

[0015] e) Perform Fourier transform on the obtained synthesized force curve F, extract the spectral data of the 1st to 500th orders, determine the frequencies of each order by using the fundamental frequency f 0 = V / (2πd), and then obtain the frequency-amplitude curve, and based on this curve, rapidly evaluate the low-frequency, medium-frequency and high-frequency noise levels of the tire.

[0016] Preferably, in step a), the tire model is a model with various pattern intercept distributions, and the preliminary deformation characteristics of the tire under rated air pressure and load are realized through numerical simulation.

[0017] Preferably, step a) includes: applying rated air pressure to a tire model with periodic patterns, establishing a corresponding road surface model, and applying fixed constraints and rated load L to the rim to simulate the loaded deformation state of the tire.

[0018] Preferably, in step b), translational velocity V and rotational angular velocity W about the wheel axis are simultaneously imparted to all nodes of the tire, and the determination of W satisfies the steady-state condition when the wheel axis torque M is zero.

[0019] Preferably, in step c), the distance d between the wheel axis and the road surface is kept fixed, and on this basis, a rotational displacement of 2π radians is applied to the rim, and at the same time, a horizontal displacement of 2π×d is generated on the road surface, and the entire calculation process is divided into 1024 increment steps to achieve high-precision data output.

[0020] Preferably, in step d), the vertical impact force in the Z direction and the frictional force in the X direction at the road surface are extracted in each increment step, and the data is used to reflect the basic mechanism of tire pattern noise generation.

[0021] Furthermore, the present invention also provides a rapid evaluation system for the noise of complex-pattern tires, which implements the method described above. The system includes:

[0022] a) A static load simulation module for generating a tire model with complex pattern intercept distributions according to preset air pressure and road surface load and simulating its static loaded state;

[0023] b) A steady-state rolling calculation module for applying translational velocity V and rotational angular velocity W to the tire model and calculating the motion state of the tire during steady-state rolling;

[0024] c) A reaction force acquisition module for acquiring data of the vertical impact force in the Z direction and the horizontal frictional force in the X direction in the contact area between the tire and the road surface during tire rolling;

[0025] d) A weight synthesis module for weighted synthesis of the acquired impact force and frictional force data according to a preset weight coefficient a to obtain synthetic force data F;

[0026] e) A frequency domain analysis module for performing Fourier transform on the synthetic force data F, extracting the spectral data of orders 1 to 500, and calculating the frequency and amplitude of each order;

[0027] f) A data processing and display module, which is used to generate a frequency-amplitude curve and output a noise evaluation result based on this curve;

[0028] And a control module including a central processing unit (CPU) and a storage device, which is used to coordinate data transmission and overall operations among the above-mentioned modules.

[0029] Preferably, the static load simulation module further includes a tire model establishment sub-module and a load application sub-module. The aforementioned sub-modules are respectively used to generate a tire model with a periodic tread intercept distribution and apply a rated air pressure and road surface load to the model;

[0030] And / or, the reaction force acquisition module adopts a high-speed data acquisition device, divides the tire rolling process into m incremental steps, and real-time acquires vertical impact force and horizontal friction force data within each incremental step;

[0031] And / or, the data processing and display module includes a data processing sub-module and a graphic display sub-module. The aforementioned data processing sub-module further analyzes the spectrum data, and the aforementioned graphic display sub-module displays the frequency-amplitude curve and the noise evaluation result in a graphical manner.

[0032] Furthermore, the present invention also provides a computer-readable storage medium, on which a computer program or instruction is stored. When the computer program or instruction is executed by a processor, the method is implemented.

[0033] Furthermore, the present invention also provides a computer program product, including a computer program or instruction. When the computer program or instruction is executed by a processor, the method is implemented.

[0034] Due to the adoption of the above technical solutions, compared with traditional experimental tests and explicit dynamics simulation methods, the present invention has the following remarkable technical effects:

[0035] 1. Significantly shorten the calculation time: The present invention adopts an implicit simulation analysis method, avoiding a comprehensive explicit dynamics rolling simulation of the entire tire model, thereby greatly reducing the calculation complexity. Traditional simulation methods often require more than 12 hours of calculation time, while the present invention can shorten the overall calculation time to within about 3 hours on an ordinary computer, and the data processing only takes about 1 minute, significantly improving the evaluation efficiency.

[0036] 2. Improve the accuracy of noise assessment: By collecting the vertical impact force and horizontal friction force data during the tire rolling process in a step-by-step and real-time manner, and performing weighted synthesis on the two based on the preset weight coefficients, the present invention can fully reflect the multi-band noise characteristics caused by the tread structure of complex tread tires during rolling. Fourier transform is used to extract the spectral data from order 1 to 500, and then a frequency-amplitude curve is generated, making the assessment of low-frequency, medium-frequency, and high-frequency noise more accurate, and providing more reliable data support for tire design and noise control.

[0037] 3. Adapt to the special design requirements of complex tread tires: Aiming at the characteristics of complex tread structure and uneven distribution of complex tread tires, the present invention has optimized the design in various aspects such as modeling, load application, and data collection. Thus, not only the deficiencies in discretization processing and dynamic response calculation of traditional methods are overcome, but also the requirements of different tread intercept distributions and design parameters can be flexibly adapted, providing an efficient and general technical solution for the noise assessment of new complex tread tires.

[0038] 4. Reduce test costs and resource consumption: By adopting the assessment method of the present invention, it is no longer necessary to rely on expensive anechoic chambers, special test instruments, and actual tire production, thus greatly reducing the investment in experimental equipment and the test cycle. The introduction of the implicit simulation method enables the entire assessment process to be efficiently completed in a virtual environment, saving a large amount of human, material, and time costs, and at the same time reducing the environmental errors and uncertain factors that may occur in the experiment.

[0039] 5. Facilitate tire design optimization and rapid scheme evaluation: The generated frequency-amplitude curve can not only intuitively reflect the tire noise characteristics, but also serve as an important basis for comparative analysis of different design schemes. Designers can obtain the noise assessment results in a relatively short time, thereby quickly adjusting the tire tread structure or other parameters to achieve the optimization and upgrading of product design, and further improving the vehicle's noise reduction performance and riding comfort.

[0040] Through the above technical effects, the present invention has made breakthrough progress in improving the noise assessment accuracy, accelerating the assessment speed, and reducing the test cost, providing a new technical solution with both high efficiency and accuracy for the rapid noise assessment of complex tread tires, and significantly promoting the development of tire design optimization and noise control technologies. Brief Description of the Drawings

[0041] Figure 1 is a model of a tire with complex treads;

[0042] Figure 2 is a diagram of the deformation of a tire with complex treads under load;

[0043] Figure 3 is a schematic diagram of the tire rotation axis, speed, and angular velocity;

[0044] Figure 4 It is a schematic diagram of the angular displacement and horizontal displacement of the tire;

[0045] Figure 5 It is a single tread intercept model;

[0046] Figure 6 It is a schematic diagram of the intercept angles of different proportions of treads;

[0047] Figure 7 It is a vertical impact force spectrum diagram;

[0048] Figure 8 It is a horizontal friction force spectrum diagram;

[0049] Figure 9 It is the synthesized spectrum diagram;

[0050] Figure 10 It is an order amplitude curve;

[0051] Figure 11 It is a frequency amplitude curve. Specific implementation manner

[0052] Combined with the embodiments of the present invention below, the technical solutions in the embodiments will be described clearly and completely. Obviously, the described embodiments are only a part of the embodiments of the present invention, rather than all the embodiments. Based on the embodiments of the present invention, all other embodiments obtained by those of ordinary skill in the art without making creative efforts shall fall within the protection scope of the present invention.

[0053] Embodiment 1: A fast evaluation method for the noise of a complex tread tire based on implicit simulation analysis

[0054] 1. Tire model establishment and static load numerical simulation

[0055] 1.1 According to Figure 1 As shown, a three-dimensional tire model with a complex tread intercept distribution is established using finite element modeling software. This model includes structures such as the outer tire, tread pattern, and rim, and can truly reflect the actual manufacturing process. Among them, Figure 5 is a single tread intercept model, Figure 6 is a schematic diagram of the intercept angles of different proportions of treads.

[0056] 1.2 Refer to the "China Tire Rim Valve Yearbook" to determine the rated air pressure parameters, and establish a matching road surface model. Apply the rated air pressure to the tire model, and at the same time apply the rated load L (as Figure 2 shown) to the road surface model, so that the road surface presses against the tire, thereby realizing the static load simulation and obtaining the preliminary deformation of the tire under the loaded state.

[0057] 2. Steady-state rolling simulation calculation

[0058] 2.1 After obtaining the static loaded state, apply a translational velocity V and a rotational angular velocity W to the tire model. The angular velocity W is determined based on the steady-state condition that the wheel axle torque is zero (see Figure 3 ).

[0059] 2.2 Fix the position of the road surface in the Z direction and keep the distance d between the wheel axle and the road surface unchanged. On this basis, simulate the rotation of the wheel rim around the wheel axle by 2π radians, and at the same time make the road surface generate a horizontal displacement of 2π×d synchronously (see Figure 4 ). Divide the tire rolling process into 1024 incremental steps, and record the dynamic response data of the tire-road contact area in real time for each incremental step.

[0060] 3. Reaction force data acquisition and weighted synthesis

[0061] 3.1 In each incremental step, extract the vertical impact force (Zi) in the Z direction and the horizontal friction force (Xi) in the X direction at the tire-road contact through the data acquisition device. The data acquisition processes are shown in Figure 7 and Figure 8 respectively.

[0062] 3.2 Given that the vertical impact force and the horizontal friction force have different effects on noise generation, preset a weight coefficient a (generally between 0.1 and 0.2), and use the formula F i =Z i +a·X i to perform weighted synthesis on the reaction force data collected in each incremental step to obtain the synthesized force data F reflecting the tire tread noise mechanism (see Figure 9 ).

[0063] 4. Fourier transform and frequency-domain analysis

[0064] 4.1 Perform a Fourier transform on the synthesized force data F obtained in step 3 and extract the spectral data of orders 1 to 500 (as shown in Figure 10 ).

[0065] 4.2 Calculate the fundamental frequency f 0 according to the tire motion parameters. The formula is

[0066] f 0 = V / (2πd)

[0067] and use the product of the order and f 0 to determine the corresponding frequency for each order, and finally generate a frequency-amplitude curve (see Figure 11 ). This curve visually shows the noise distribution characteristics of the tire in the low-frequency, medium-frequency, and high-frequency ranges.

[0068] 5. Data output and scheme evaluation

[0069] 5.1 After the above steps, the frequency-amplitude curve and the noise evaluation result are output to the display module by using the data processing module.

[0070] 5.2 Designers can observe the output results, compare the noise characteristics of different complex pattern tires, and achieve rapid evaluation and optimization of the design scheme.

[0071] 5.3 The whole process runs on an ordinary computer. The overall calculation time is about 3 hours, and the data processing time is about 1 minute, which significantly improves the efficiency of noise evaluation. While using the explicit dynamics calculation method, the calculation process takes at least 12 hours and requires secondary data mapping and recalculation (the data mapping and calculation process takes about 3 hours). The efficiency of the method of the present invention is significantly improved.

[0072] Embodiment 2: A rapid noise evaluation system for complex pattern tires based on system integration

[0073] To implement the above method, the present invention also provides a noise evaluation system integrating the functional modules of the above steps. The specific implementation manner is as follows:

[0074] 1. System structure composition

[0075] 1.1 Static load simulation module: Responsible for establishing the tire model and the road surface model, and simulating the static loaded state under the rated air pressure and load. This module includes a tire model establishment sub-module and a load application sub-module.

[0076] 1.2 Steady-state rolling calculation module: Responsible for applying the translational velocity V and the rotational angular velocity W to the tire, and calculating the motion state of the tire during the steady-state rolling process. This module embeds a tire motion simulation sub-module.

[0077] 1.3 Reaction force acquisition module: Using a high-speed data acquisition device, divide the whole process into multiple (for example, 1024) incremental steps during the tire rolling process, and collect the vertical impact force and horizontal friction force data of the contact area in real time.

[0078] 1.4 Weight synthesis module: According to the formula F i =Z i +a·X i weight the collected data for synthesis to obtain the synthetic force data F reflecting the pattern noise mechanism.

[0079] 1.5 Frequency domain analysis module: Perform Fourier transform on the synthetic data F, extract the spectral data of 1 to 500 orders, calculate the frequency and amplitude of each order, and generate a frequency-amplitude curve.

[0080] 1.6 Data processing and display module: Processes the spectrum data and outputs the noise evaluation results in a graphical manner, providing a decision-making basis for the optimization of tire design.

[0081] 1.7 The system also includes a central processing unit (CPU) and a storage device, which are responsible for coordinating data interaction and overall operations between modules.

[0082] 2. System working process

[0083] 2.1 After the system starts, the static load simulation module generates a complex tread tire model and a corresponding road surface model according to preset parameters, and completes the static load simulation.

[0084] 2.2 Under the condition of a fixed Z-direction position of the road surface, the steady-state rolling calculation module applies translational and rotational motions to the tire, simulates the process of the tire rolling one week, and divides the calculation process according to a preset increment step (such as 1024 steps).

[0085] 2.3 The reaction force acquisition module collects the vertical and horizontal reaction force data of the tire-road contact area in each increment step; subsequently, the weight synthesis module performs weighted processing on the data to obtain the synthesized force data.

[0086] 2.4 The frequency domain analysis module performs Fourier transform on the synthesized force data and generates a frequency-amplitude curve in combination with the fundamental frequency calculation.

[0087] 2.5 The data processing and display module displays the final results on the graphical user interface and stores the relevant data at the same time, facilitating subsequent analysis and scheme comparison.

[0088] 2.6 The entire system adopts a co-design of software and hardware, enabling the noise evaluation process to run efficiently on a general computer, significantly shortening the test time and reducing the test cost.

[0089] Next, taking a set of comparative experimental data as an example, the technical effects of the present invention are illustrated, demonstrating the significant improvement of the method of the present invention in terms of noise evaluation efficiency and accuracy compared with traditional methods.

[0090] 1. Calculation time comparison

[0091] Traditional explicit dynamics simulation method: Under the traditional method, since it is necessary to perform full-cycle rolling simulation on the entire tire model and perform subsequent data mapping and secondary calculations, the overall calculation time usually exceeds 12 hours;

[0092] Implicit simulation analysis method of the present invention: After adopting the method of the present invention, the overall calculation time is shortened to within about 3 hours, and only about 1 minute is required for data processing.

[0093] 2. Data comparison: Traditional method: approximately 12 - 14 hours; Method of the present invention: approximately 3 - 3.5 hours, with the overall calculation time reduced by approximately 75%.

[0094] 3. Comparison of noise evaluation accuracy

[0095] When evaluating the noise of a certain model of complex - pattern tire produced by the company, the amplitudes in three frequency bands of low - frequency (20 - 100 Hz), medium - frequency (100 - 400 Hz), and high - frequency (400 - 800 Hz) are compared as shown in Table 1:

[0096] Table 1

[0097]

[0098] 4. Explanation:

[0099] When the frequency - amplitude curve obtained by using the method of the present invention is compared with the traditional explicit dynamics method and experimental test data, the errors are all controlled within ±5%. High consistency is shown in both the low - frequency band and the medium - and high - frequency bands, verifying the accuracy and reliability of the method of the present invention in noise evaluation.

[0100] The above is the description of the embodiments of the present invention. Through the above description of the disclosed embodiments, those skilled in the art can implement or use the present invention. Various modifications to these embodiments will be obvious to those skilled in the art. The general principles defined herein can be implemented in other embodiments without departing from the spirit or scope of the present invention. Therefore, the present invention will not be limited to these embodiments shown herein, but will conform to the widest scope consistent with the principles and novel points disclosed herein.

Claims

1. A method for rapid evaluation of noise of complex pattern tires, characterized in that: The method comprises the following steps: a) Establish a tire model with different intercept distributions, apply rated air pressure and road load to the model, and realize static load numerical simulation; b) calculating the steady-state rolling state of the tire based on the tire model and the static load, i.e. applying a translational velocity V and a rotational angular velocity W about the wheel axis to all nodes of the tire; c) Under steady-state rolling conditions, fix the Z-direction position of the road surface, keep the distance d between the wheel axle and the road surface unchanged, and at the same time rotate the wheel rim around the wheel axle by 2π and make the road surface synchronously displace horizontally by 2π×d. The whole process is divided into m incremental steps; d) In each incremental step, the Z-direction reaction force and X-direction reaction force curves of the road surface are extracted respectively, where the Z-direction reaction force represents the vertical impact force and the X-direction reaction force represents the friction force. According to the formula Fᵢ = Zᵢ + a · Xᵢ Perform synthesis; in F i Represents the combined force value, Z i represents the vertical impact force at time i, X i represents the horizontal friction force at time i, i represents the time, the value is 1~m, a represents the weight coefficient of friction force, the value is 0.1~0.2; e) Perform Fourier transform on the obtained synthetic force curve F, extract the 1st to 500th order spectrum data, and use the fundamental frequency f 0 = V⁄(2πd) to determine the frequencies of each order and obtain the frequency-amplitude curve. Based on this curve, the low-frequency, medium-frequency and high-frequency noise levels of the tire can be quickly evaluated.

2. The method according to claim 1, characterized in that In step a), the tire model is a model with a variety of pattern intercept distributions, and the initial deformation characteristics of the tire under the rated air pressure and load are realized through numerical simulation.

3. The method according to claim 1, characterized in that Step a) includes: applying rated air pressure to a tire model with a periodic pattern, establishing a corresponding road surface model, and applying a fixed constraint and a rated load L to the rim to simulate the deformation state of the tire under load.

4. The method according to claim 1, characterized in that: In step b), all nodes of the tire are simultaneously given a translational velocity V and an angular velocity W about the wheel axle, wherein W is determined to satisfy the steady-state condition when the wheel axle torque M is zero.

5. The method according to claim 1, characterized in that In step c), the distance d between the wheel axle and the road surface is kept fixed, and on this basis, a rotational displacement of 2π radians is applied to the rim, while the road surface is subjected to a horizontal displacement of 2π×d. The entire calculation process is divided into 1024 incremental steps to achieve high-precision data output.

6. The method according to claim 1, characterized in that In step d), the vertical impact force in the Z direction and the friction force in the X direction on the road surface are extracted in each incremental step, and the data are used to reflect the basic mechanism of the generation of tire pattern noise.

7. A rapid evaluation system for complex pattern tire noise, characterized in that: The system implements the method described in any one of claims 1 to 6, and the system comprises: a) Static load simulation module, used to generate a tire model with complex tread intercept distribution according to preset air pressure and road load and simulate its static load state; b) a steady-state rolling calculation module, used to apply a translational velocity V and a rotational angular velocity W to the tire model and calculate the motion state of the tire during steady-state rolling; c) a reaction force acquisition module, used to collect the vertical impact force in the Z direction and the horizontal friction force in the X direction of the tire-road contact area during tire rolling; d) a weighted synthesis module, used to perform weighted synthesis on the collected impact force and friction force data according to a preset weight coefficient a to obtain synthetic force data F; e) A frequency domain analysis module, used to perform Fourier transform on the synthetic force data F, extract the frequency spectrum data from 1 to 500 orders, and calculate the frequency and amplitude of each order; f) a data processing and display module, used for generating a frequency-amplitude curve and outputting a noise evaluation result based on the curve; and a control module including a central processing unit (CPU) and a storage device, used for coordinating data transmission and overall operation between the above modules.

8. The system according to claim 7, characterized in that The static load simulation module further includes a tire model establishment submodule and a load application submodule, the aforementioned submodules are used to generate a tire model with periodic pattern intercept distribution and apply rated air pressure and road load to the model respectively; And / or, the reaction force acquisition module uses a high-speed data acquisition device, and divides the tire rolling process into m incremental steps, and collects vertical impact force and horizontal friction force data in real time in each incremental step; And / or, the data processing and display module includes a data processing submodule and a graphic display submodule, the data processing submodule further analyzes the spectrum data, and the graphic display submodule graphically displays the frequency-amplitude curve and noise evaluation results.

9. A computer-readable storage medium having a computer program or instruction stored thereon, characterized in that: When the computer program or instruction is executed by a processor, the method according to any one of claims 1 to 6 is implemented.

10. A computer program product comprising a computer program or instructions, characterized in that When the computer program or instruction is executed by a processor, the method according to any one of claims 1 to 6 is implemented.

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