A high-precision laser deweighting method for rotor deweighting and dynamic balancing

Abstract

A high-precision laser de-weighting method for rotor de-weighting and dynamic balancing comprises the following steps: firstly, establishing a standard de-weighting blind hole parameter library for different rotors, and removing any imbalance vector within a specified range of the corresponding rotor by combining multiple groups of standard de-weighting blind holes; determining various laser processing parameters for processing the corresponding de-weighting blind holes based on laser simulation and experiments; selecting corresponding de-weighting blind hole parameters based on the rotor numerical value using the standard de-weighting parameter library; performing trial de-weighting on several de-weighting blind holes on a test piece made of the same material as the rotor to be balanced, and correcting the true de-weighting values; correcting the actual de-weighting positions using an integral method based on the true de-weighting values ​​obtained after the correction of the de-weighting blind holes, and de-weighting the rotors in batches; testing the de-weighting effect after de-weighting, and re-doing the de-weighting if the measured imbalance vector is unqualified; the present invention reduces the influence of nonlinear factors on the de-weighting quality during the laser de-weighting process, and improves the accuracy and efficiency of de-weighting and dynamic balancing of batch micro-rotors.

Description

Technical Field

[0001] The present invention relates to the technical field of laser deweighting, and in particular to a high-precision laser deweighting method for rotor deweighting and dynamic balancing. Background Art

[0002] As a high-speed rotating precision component, the balance of a micro-gyroscope rotor is crucial for ensuring proper operation, improving efficiency, and extending its service life. Traditionally, mechanical tools have been used to remove the unbalanced mass: after calculating the rotor's imbalance, a drill is used to drill holes of a specified depth at specific locations. However, this method suffers from low deweighting accuracy and requires high operator skill.

[0003] Laser deweighting (Wang Qingkai, Zhang Yu, Chen Dongsuo, et al. Research on precision control of ultra-high-speed lightweight rotor dynamic balancing technology [J]. Household Electrical Appliances, 2022(2):67-69.) Compared with traditional contact methods, laser deweighting has the advantages of non-contact deweighting and high deweighting accuracy, and is more suitable for use in ultra-precision deweighting scenarios of micro rotors; however, due to the differences in the properties of the rotor surface oxide layer and the metal during the laser processing deweighting process, and the nonlinearity between the laser processing time and the removal quality caused by the complex parameters, the laser deweighting accuracy is low. A method for precise removal of tiny masses is needed in the field of laser deweighting. Summary of the Invention

[0004] In order to overcome the above-mentioned shortcomings of the prior art, the purpose of the present invention is to provide a high-precision laser deweighting method for rotor deweighting and dynamic balancing, so as to achieve the processing requirements of efficient, high-precision and high-quality rotor dynamic balancing.

[0005] In order to achieve the above object, the present invention is implemented by the following technical solutions:

[0006] A high-precision laser deweighting method for rotor deweighting and dynamic balancing comprises the following steps:

[0007] Step 1: Establish a standard deduplication blind hole parameter library for different rotor sizes. Use multiple sets of standard deduplication blind hole combinations to remove any imbalance vector within the specified range of the corresponding rotor. The deduplication selection principle of the standard deduplication blind hole parameter library is shown in formula (1):

[0008] U i =M i ·(X i -s i )~M i ·(X i +s i ) (1)

[0009] U i M is the range of the imbalance vector that can be corrected by a single blind hole de-weighting.i is the deduplication quality of a single laser blind hole, which are M1, M2, M3...M n , are all selected fixed values, X i The deduplication mass M of a single punch i The distance between the center of the corresponding deweighting range and the center of the deweighting workpiece rotor, s i For X i Corresponding range, duplicate blind holes are removed by selecting the appropriate position Xs within the range i To remove the appropriate deduplication vector;

[0010] For any deweighting vector U within the specified range, by selecting different blind hole qualities M i Composition of different U i , making U=U1+U2+...+U n , thereby achieving the removal of the specified mass;

[0011] According to X i The deduplication range determines the diameter R of the corresponding deduplication blind hole i , ensure R i +R i-1 <(X i -s i )-(X i-1 +s i-1 ), so that different deduplication blind holes will not affect each other. The relationship between the deduplication weight and radius is: Where ρ1 is the density of the rotor substrate, ρ2 is the density of the rotor surface layer; h1 is the de-weighting depth of the blind hole on the rotor substrate, and h2 is the de-weighting depth of the blind hole on the rotor surface layer;

[0012] Step 2: Standard deduplication blind hole processing: First, evaporate and remove the oxide layer on the rotor surface, and then evaporate and remove the rotor substrate layer. The parameter table establishes the functional relationship between laser parameters and deduplication amount based on laser simulation and experiments. Based on this functional relationship, the laser processing parameters corresponding to the deduplication of the oxide layer and substrate layer are established, including laser power, spot radius, defocus, scanning speed, spot overlap rate, and number of scans;

[0013] Step 3: Select corresponding deduplication blind hole parameters using the standard deduplication blind hole parameter library according to the shape, mass, density and other values ​​of the rotor;

[0014] Step 4: Use the selected laser parameters to conduct trial de-weighting on several de-weighting blind holes on a test piece with the same material as the rotor to be balanced, and correct the actual de-weighting value. Before the trial de-weighting, test several sets of selected values ​​on the same material sample, measure one more than 5 times, and take the average value to calibrate the parameters;

[0015] Step 5: According to the real de-weighting value obtained after the de-weighting blind hole correction, the actual de-weighting position is corrected by the integration method to de-weight the rotor;

[0016] Step 6: After deduplication, test the deduplication effect. If it is unqualified, return to step 5 and perform deduplication again until the deduplication effect is qualified.

[0017] The standard deduplication blind hole parameter library described in step 1 must contain deduplication blind hole parameters and blind hole position ranges of various diameters and depths corresponding to various rotor materials and sizes. The minimum deduplication weight is 0.1 mg, and the minimum unbalanced balance accuracy is 0.5 mg.mm.

[0018] Step 2 The simulation process of laser processing parameters includes the following steps:

[0019] 2.1) First, select an 8-node hexahedral unit and build a 3D model of the deduplication material for laser processing deduplication simulation. Simulate the temperature field and thermal stress of the rotor. When the unit temperature reaches the vaporization temperature or the thermal stress between units of different materials exceeds the limit adhesion, the unit is considered to be removed.

[0020] 2.2) Based on the physical constants and basic equations, the initial temperature parameters and boundary conditions of the geometric body are defined for simulation. The output of the previous time step is used as the input of the next time step. The pulsed laser is input in the form of heat flux. The heat flux distribution function is shown in Equation (2):

[0021]

[0022] Where A is the absorption rate, P is the average laser power, r is the spot radius, t is the thermal conduction time, v is the scanning speed, τ is the time relative to the pulse full width reaching half the maximum value, τ m is the time to reach the maximum power;

[0023] 2.3) The laser heat source input is simplified to a point heat source on the spatial cross section and a pulse input on the time cross section; the load matrix list is used to provide the corresponding heat flux loads at different positions and times. The heat is radiated to the surface of the oxide layer and diffused to the bottom of the oxide layer and the substrate through heat conduction, following the heat balance equation in Fourier's law, as shown in formula (3):

[0024]

[0025] Where the temperature field distribution is T(x, y, z, t), the heat flux distribution is q(x, y, z, t), the energy input is g(x, y, z, t), κ is the thermal conductivity, and α = κ / ρc is the thermal diffusivity.

[0026] 2.4) During the laser cleaning process, there are differences in the thermal expansion coefficient γ and Young's modulus Y between the oxide film layer inside the material and the base material, which leads to the generation of thermal stress, as shown in formula (4):

[0027]

[0028] Where u is the displacement, γ is the thermal expansion coefficient, and Y is the Young's modulus;

[0029] The adhesion force f between the substrate layer and the oxide layer is Z is the distance between the two layers, A 12 is the Hamaker coefficient between the oxide film and the substrate. When the thermal stress is greater than the adhesion force, the oxide film is removed;

[0030] 2.5) Based on the above model, simulation analysis and experiments are conducted to determine the laser processing parameters.

[0031] The maximum deweighting mass selected in step 3 shall not exceed 1% of the rotor mass, and the position ranges of the selected standard deweighting blind holes shall not overlap.

[0032] The parameters for processing the corresponding blind holes in step 4 should be based on the simulation formula. If the difference between the actual deduplication value and the simulation value is too large to meet the actual deduplication range requirements, other blind hole values ​​in the parameter table are selected for assistance.

[0033] The integration method in step five includes using a numerical integration algorithm to calculate the correction value of the actual deduplication position.

[0034] Compared with the prior art, the present invention has the following beneficial effects:

[0035] (1) The present invention divides the laser dynamic balancing deweighting process into a surface oxide layer removal mode and a substrate removal mode, and achieves deweighting of different layers of the workpiece by changing the laser processing parameters, so its deweighting effect is more accurate.

[0036] (2) The present invention determines the laser deduplication parameters of blind holes of different sizes through finite element simulation, and can more quickly establish corresponding parameters for different materials.

[0037] (3) The present invention establishes a standard deduplication blind hole parameter library and rationally selects parameter combinations, thereby reducing the influence of various nonlinear factors on deduplication accuracy. BRIEF DESCRIPTION OF THE DRAWINGS

[0038] Figure 1 A flow chart of an embodiment.

[0039] Figure 2 Schematic diagram of a model for simulating blind hole combination deduplication in an embodiment.

[0040] Figure 3 Schematic diagram of blind hole removal in an embodiment.

[0041] Figure 4 FIG. 1 is a schematic diagram of the equipment used for actual deduplication in the embodiment. DETAILED DESCRIPTION

[0042] The present invention will be further described below with reference to the accompanying drawings and examples.

[0043] During the laser processing de-weighting process, there are reasons such as the different properties of the rotor surface oxide layer and the metal, and the complex parameters leading to nonlinearity between the laser processing time and the removal quality, which leads to low laser de-weighting accuracy. Therefore, it is necessary to use computer simulation methods to establish a standard de-weighting blind hole parameter library and the corresponding laser processing parameters. By selecting blind holes and laser processing parameters corresponding to the material size of the rotor, accurate dynamic balancing and de-weighting of the micro rotor can be achieved.

[0044] like Figure 1 As shown in the figure, a high-precision laser de-weighting method for rotor de-weighting and dynamic balancing is proposed. A standard de-weighting blind hole parameter library is established for different rotor sizes and materials. The laser processing parameters for processing the corresponding de-weighting blind holes are determined based on laser simulation and experiments. The corresponding de-weighting blind hole parameters are selected according to the rotor. The selected laser parameters are used to test de-weight several de-weighting blind holes on a test piece made of the same material as the rotor to be balanced. The actual de-weighting position is corrected using an integral method based on the actual de-weighting value obtained after the de-weighting blind holes are corrected. The de-weighting of batch rotors is then performed to improve the de-weighting accuracy. The specific steps are as follows:

[0045] Step 1: Establish a standard deduplication blind hole parameter library for different rotor sizes, and remove any imbalance vector within the specified range of the corresponding rotor through multiple sets of standard deduplication blind hole combinations, such as Figure 2 As shown;

[0046] The deduplication selection principle of the standard deduplication blind hole parameter library is shown in formula (1):

[0047] U i =M i ·(X i -s i )~M i ·(X i +s i ) (1)

[0048] U i M is the range of the imbalance vector that can be corrected by a single blind hole de-weighting. i is the deduplication quality of a single laser blind hole, which are M1, M2, M3...M n , are all selected fixed values, X i The deduplication mass M of a single punch iThe distance between the center of the corresponding deweighting range and the center of the deweighting workpiece rotor, s i For X i Corresponding range, duplicate blind holes are removed by selecting the appropriate position Xs within the range i To remove the appropriate deduplication vector;

[0049] For any deweighting vector U within the specified range, by selecting different blind hole qualities M i Composition of different U i , making U=U1+U2+...+U n , thereby achieving the removal of the specified mass;

[0050] According to X i The deduplication range determines the diameter R of the corresponding deduplication blind hole i , ensure R i +R i-1 <(X i -s i )-(X i-1 +s i-1 ), so that different deduplication blind holes will not affect each other. The relationship between the deduplication weight and radius is: Where ρ1 is the density of the rotor substrate, ρ2 is the density of the rotor surface layer; h1 is the de-weighting depth of the blind hole on the rotor substrate, and h2 is the de-weighting depth of the blind hole on the rotor surface layer;

[0051] The standard deduplication blind hole parameter library must include deduplication blind hole parameters and blind hole position ranges for various rotor materials and sizes with different diameters and depths. The minimum deduplication weight is 0.1 mg, and the minimum unbalanced balance accuracy is 0.5 mg.mm.

[0052] The standard deduplication blind hole parameter library of this embodiment is shown in Table 1;

[0053] Table 1

[0054] <![CDATA[Deduplication quality (M i )]]> <![CDATA[M1]]> <![CDATA[M2]]> <![CDATA[M3]]> …… <![CDATA[M n ]]> <![CDATA[Blind hole radius (R i )]]> <![CDATA[R1]]> <![CDATA[R2]]> <![CDATA[R3]]> …… <![CDATA[R n ]]> <![CDATA[Blind hole depth (H i )]]> <![CDATA[H1]]> <![CDATA[H2]]> <![CDATA[H3]]> …… <![CDATA[H n ]]> <![CDATA[Deduplication range (X i )]]> <![CDATA[X1(±s1)]]> <![CDATA[X2(±s2)]]> <![CDATA[X3(±s3)]]> …… <![CDATA[X n (±s n )]]> <![CDATA[Deduplicated vector range (U i )]]> <![CDATA[U1]]> <![CDATA[U2]]> <![CDATA[U3]]> …… <![CDATA[U n ]]>

[0055] Step 2: Standard deduplication blind hole processing, refer to Figure 3 First, the oxide layer on the rotor surface is evaporated and removed, and then the rotor substrate layer is evaporated and removed, where h1 is the deduplication depth of the blind hole on the rotor substrate, h2 is the deduplication depth of the blind hole on the rotor surface layer, and D is the deduplication radius of the blind hole; the parameter table establishes the functional relationship between laser parameters and deduplication amount based on laser simulation and experiments, and based on this functional relationship, establishes various laser processing parameters for processing the corresponding deduplication blind hole oxide layer and substrate layer, including laser power, spot radius, defocus amount, scanning speed, spot overlap rate, and number of scans;

[0056] The simulation process of laser processing parameters includes the following steps:

[0057] 2.1) First, select an 8-node hexahedral unit and build a 3D model of the deduplication material for laser processing deduplication simulation. Simulate the temperature field and thermal stress of the rotor. When the unit temperature reaches the vaporization temperature or the thermal stress between units of different materials exceeds the limit adhesion, the unit is considered to be removed.

[0058] 2.2) Based on the physical constants and basic equations, the initial temperature parameters and boundary conditions of the geometric body are defined for simulation. The output of the previous time step is used as the input of the next time step. The pulsed laser is input in the form of heat flux. The heat flux distribution function is shown in Equation (2):

[0059]

[0060] Where A is the absorption rate, P is the average laser power, r is the spot radius, t is the thermal conduction time, v is the scanning speed, τ is the time relative to the pulse full width reaching half the maximum value, τ m is the time to reach the maximum power;

[0061] 2.3) The laser heat source input is simplified to a point heat source on the spatial cross section and a pulse input on the time cross section; the load matrix list is used to provide the corresponding heat flux loads at different positions and times. The heat is radiated to the surface of the oxide layer and diffused to the bottom of the oxide layer and the substrate through heat conduction, following the heat balance equation in Fourier's law, as shown in formula (3):

[0062]

[0063] Where the temperature field distribution is T(x, y, z, t), the heat flux distribution is q(x, y, z, t), the energy input is g(x, y, z, t), κ is the thermal conductivity, and α = κ / ρc is the thermal diffusivity.

[0064] 2.4) During the laser cleaning process, there are differences in the thermal expansion coefficient γ and Young's modulus Y between the oxide film layer inside the material and the base material, which leads to the generation of thermal stress, as shown in formula (4):

[0065]

[0066] Where u is the displacement, γ is the thermal expansion coefficient, and Y is the Young's modulus;

[0067] The adhesion force f between the substrate layer and the oxide layer is Z is the distance between the two layers, A 12 is the Hamaker coefficient between the oxide film and the substrate. When the thermal stress is greater than the adhesion force, the oxide film is removed;

[0068] 2.5) Based on the above model, simulation analysis and experiments are conducted to determine the laser processing parameters;

[0069] In this embodiment, the laser power is 50W, the spot radius is 40.6μm, the defocus is -0.6mm, the scanning speed is 1000mm / s, the spot overlap rate is 49.71%, and the number of scans is 10;

[0070] Step 3: Select corresponding deduplication blind hole parameters using the standard deduplication blind hole parameter library based on the shape, mass, density and other values ​​of the rotor. The position ranges of the selected standard deduplication blind holes cannot overlap; the maximum deduplication mass selected shall not exceed 1% of the rotor mass.

[0071] The maximum radius of the rotors to be deweighted in this embodiment is 22 mm, the mass is 25.1 g, the material is 6061 aluminum alloy, the surface anodized layer is 10 μm, and the blind holes are selected to be 0.1 mg, 1 mg, 10 mg, 50 mg, 100 mg, and 250 mg respectively;

[0072] Step 4: Use the selected laser parameters to conduct trial de-weighting on several blind holes on a test piece made of the same material as the rotor to be balanced, and correct the actual de-weighting value. Before the trial de-weighting, test the selected values ​​of several blind holes on the same material sample; m1, m2, m3, m4, m5; measure each five times and take the average value to calibrate the parameters;

[0073] This example uses a 100mg standard blind via as an example. The selected laser parameters are used for processing. Five processing passes yield an average value of 91.3mg. Other blind vias are calibrated using this method. The actual weight removal is 0.1mg, 0.9mg, 9.7mg, 47.1mg, 91.3mg, and 221.9mg. Actual weight removal selection and calculation are based on this result.

[0074] Step 5: According to the real de-weighting value obtained after the de-weighting blind hole correction, the actual de-weighting position is corrected by the integration method to de-weight the rotor;

[0075] In this embodiment, the rotor imbalance vector is measured to be 1471.3 mg.mm. Based on the actual deweighting value obtained after the blind hole correction, the blind hole and deweighting positions are selected as follows: 0.1 mg*5.00 mm, 0.9 mg*7.52 mm, 9.7 mg*10,22 mm, and 91.3 mg*14.95 mm, respectively. The actual deweighting position is corrected by the integration method to deweight the rotor.

[0076] Step 6: After deduplication, test the deduplication effect. If it is unqualified, return to step 5 and perform deduplication again until the deduplication effect is qualified.

[0077] Reference Figure 4In this embodiment, the equipment for actual deweighting controls the height of the processing laser through the z-direction lead screw motor, and the z-direction lead screw motor adjusts the horizontal position through the x-direction lead screw motor. The processing laser is irradiated on the rotor to be balanced, and the rotor to be balanced is mounted on the dynamic balancing spindle.

[0078] The beneficial effects of this embodiment are as follows: The laser dynamic balancing deduplication process in this embodiment is divided into a surface oxide layer removal mode and a substrate removal mode. By changing the laser processing parameters, deduplication is achieved on different layers of the workpiece, resulting in a more precise deduplication effect. This embodiment determines the laser deduplication parameters for blind holes of different sizes through finite element simulation, which can more quickly establish corresponding parameters for different materials. This embodiment establishes a standard deduplication blind hole parameter library and, through the rational selection of parameter combinations, can reduce the impact of various nonlinear factors on deduplication accuracy.

Claims

1. A high-precision laser de-weighting method for rotor de-weighting dynamic balancing, characterized in that: The steps include: Step 1: Establish a standard deduplication blind hole parameter library for different rotor sizes. Use multiple sets of standard deduplication blind hole combinations to remove any imbalance vector within the specified range of the corresponding rotor. The deduplication selection principle of the standard deduplication blind hole parameter library is shown in formula (1): U i =M i ·(X i -s i )~M i ·(X i +s i )(1) U i M is the range of the imbalance vector that can be corrected by a single blind hole de-weighting operation; i is the deduplication quality of a single laser blind hole, which are M1, M2, M3...M n , are all selected fixed values, X i The deduplication mass M of a single punch i The distance between the center of the corresponding deweighting range and the center of the deweighting workpiece rotor, s i For X i Corresponding range, duplicate blind holes are removed by selecting the appropriate position Xs within the range i To remove the appropriate deduplication vector; For any deweighting vector U within the specified range, by selecting different blind hole qualities M i Composition of different U i , making U=U1+U2+...+U n , thereby achieving the removal of the specified mass; According to X i The deduplication range determines the diameter R of the corresponding deduplication blind hole i , ensure R i +R i-1 <(X i -s i )-(X i-1 +s i-1 ), so that different deduplication blind holes will not affect each other. The relationship between the deduplication weight and radius is: Where ρ1 is the density of the rotor substrate, ρ2 is the density of the rotor surface layer; h1 is the de-weighting depth of the blind hole on the rotor substrate, and h2 is the de-weighting depth of the blind hole on the rotor surface layer; Step 2: Standard deduplication blind hole processing: First, evaporate and remove the oxide layer on the rotor surface, and then evaporate and remove the rotor substrate layer. The parameter table establishes the functional relationship between laser parameters and deduplication amount based on laser simulation and experiments. Based on this functional relationship, the laser processing parameters corresponding to the deduplication of the oxide layer and substrate layer are established, including laser power, spot radius, defocus, scanning speed, spot overlap rate, and number of scans; Step 3: Select corresponding deduplication blind hole parameters using the standard deduplication blind hole parameter library according to the shape, mass, and density values ​​of the rotor; Step 4: Use the selected laser parameters to conduct trial de-weighting on several de-weighting blind holes on a test piece with the same material as the rotor to be balanced, and correct the actual de-weighting value. Before the trial de-weighting, test several sets of selected values ​​on the same material sample, measure one more than 5 times, and take the average value to calibrate the parameters; Step 5: According to the real de-weighting value obtained after the de-weighting blind hole correction, the actual de-weighting position is corrected by the integration method to de-weight the rotor; Step 6: After deduplication, test the deduplication effect. If it is unqualified, return to step 5 and perform deduplication again until the deduplication effect is qualified.

2. The method according to claim 1, wherein: The standard deduplication blind hole parameter library described in step 1 must contain deduplication blind hole parameters and blind hole position ranges of various diameters and depths corresponding to various rotor materials and sizes. The minimum deduplication weight is 0.1 mg, and the minimum unbalanced balance accuracy is 0.5 mg.mm.

3. The method according to claim 1, characterized in that Step 2 The simulation process of laser processing parameters includes the following steps: 2.1) First, select an 8-node hexahedral unit and build a 3D model of the deduplication material for laser processing deduplication simulation. Simulate the temperature field and thermal stress of the rotor. When the unit temperature reaches the vaporization temperature or the thermal stress between units of different materials exceeds the limit adhesion, the unit is considered to be removed. 2.2) Based on the physical constants and basic equations, the initial temperature parameters and boundary conditions of the geometric body are defined for simulation. The output of the previous time step is used as the input of the next time step. The pulsed laser is input in the form of heat flux. The heat flux distribution function is shown in Equation (2): Where A is the absorption rate, P is the average laser power, r is the spot radius, t is the thermal conduction time, v is the scanning speed, τ is the time relative to the pulse full width reaching half the maximum value, τ m is the time to reach the maximum power; 2.3) The laser heat source input is simplified to a point heat source on the spatial cross section and a pulse input on the time cross section; the load matrix list is used to provide the corresponding heat flux loads at different positions and times. The heat is radiated to the surface of the oxide layer and diffused to the bottom of the oxide layer and the substrate through heat conduction, following the heat balance equation in Fourier's law, as shown in formula (3): Where the temperature field distribution is T(x, y, z, t), the heat flux distribution is q(x, y, z, t), the energy input is g(x, y, z, t), κ is the thermal conductivity, and α = κ / ρc is the thermal diffusivity. 2.4) During the laser cleaning process, there are differences in the thermal expansion coefficient γ and Young's modulus Y between the oxide film layer inside the material and the base material, which leads to the generation of thermal stress, as shown in formula (4): Where u is the displacement, γ is the thermal expansion coefficient, and Y is the Young's modulus; The adhesion force f between the substrate layer and the oxide layer is Z is the distance between the two layers, A 12 is the Hamaker coefficient between the oxide film and the substrate. When the thermal stress is greater than the adhesion force, the oxide film is removed; 2.5) Based on the above model, simulation analysis and experiments are conducted to determine the laser processing parameters.

4. The method according to claim 1, wherein: The maximum deweighting mass selected in step 3 shall not exceed 1% of the rotor mass, and the position ranges of the selected standard deweighting blind holes shall not overlap.

5. The method according to claim 1, wherein: The parameters for processing the corresponding blind holes in step 4 should be based on the simulation formula. If the difference between the actual deduplication value and the simulation value is too large to meet the actual deduplication range requirements, other blind hole values ​​in the parameter table are selected for assistance.

6. The method according to claim 1, wherein: The integration method in step five includes using a numerical integration algorithm to calculate the correction value of the actual deduplication position.

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