A variable-pressure deep magnetic rheological processing method and processing system

Through decomposition and iterative optimization of magnetorheological processing methods, the efficiency and accuracy problems of magnetorheological polishing technology in multi-scale phase feature processing are solved, and efficient and precise machining of continuous phase components is achieved.

CN119973798BActive Publication Date: 2025-07-25NAT UNIV OF DEFENSE TECH
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Patent Information

Application Number
CN202510480436.3
Authority / Receiving Office
CN · China
Patent Type
Patents(China)
Current Assignee / Owner
Filing Date
2025-04-17
Publication Date
2025-07-25
Estimated Expiration
2045-04-17

AI Technical Summary

Technical Problem

The existing magnetorheological polishing technology is difficult to meet the precision etching requirements of high-frequency microstructures and the deep-layer shape modification characteristics of low-frequency phase regions in a single process, resulting in limited processing efficiency and accuracy of continuous phase components.

Method used

By obtaining the initial residual error of the element to be processed, the initial shape modification coefficient is randomly generated, and decomposing it into multiple sub-residual error distributions, the mapping relationship between the pressing depth and shape modification ability of the magnetorheological processing polishing wheel is constructed, and the cyclic iterative matches each sub-residual error distribution until the iteration conditions are met, and the residence time distribution is calculated to realize multi-pressure depth parameter processing.

Benefits of technology

The processing efficiency and accuracy of continuous phase components are improved in a single process, and the technical bottleneck of traditional magnetorheological polishing technology in multi-scale composite phase feature processing is overcome.

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Abstract

The present application discloses a variable-pressure deep magnetorheological processing method and a processing system. This method obtains the initial residual error of the component to be processed and randomly generates the initial modification coefficient of the component to be processed; decomposes the initial residual error according to the initial modification coefficient to obtain at least two sub-residual error distributions; constructs the mapping relationship between the indentation depth of the magnetorheological processing polishing wheel and the corresponding modification ability of the indentation depth; based on the mapping relationship, matches each sub-residual error distribution with the indentation depth of the magnetorheological processing polishing wheel, and iterates cyclically until the iteration condition is met, obtaining the processing modification coefficient and the corresponding indentation depth; calculates the corresponding dwell time distribution according to the processing modification coefficient and the corresponding indentation depth, obtaining the processing modification coefficient, the corresponding indentation depth and the corresponding dwell time distribution of the component to be processed, which can realize multi-indentation parameter processing in a single process and improve the processing efficiency and processing accuracy of continuous phase components.
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Description

Technical Field

[0001] The present application relates to the technical field of optical processing, and in particular, to a variable pressure depth magnetorheological processing method and a processing system. Background Art

[0002] As the core carrier of high-performance diffractive optical devices, the continuous phase plate (Continuous Phase Plate) requires sub-wavelength-level phase modulation accuracy in cutting-edge fields such as inertial confinement fusion (ICF) to generate laser focal spots with flattened intensity distributions, steep transition edges, and sidelobe suppression characteristics. This poses control requirements at almost the atomic scale for the processing technology.

[0003] In the prior art, although the magnetorheological finishing technology can achieve deterministic material removal ability at the sub-nanometer level, when facing multi-scale composite phase features, it cannot simultaneously meet the precise etching requirements of high-frequency microstructures and the deep modification characteristics of low-frequency phase regions, and it is difficult to effectively match the spatial frequency of its surface microstructures, resulting in a low low-frequency error convergence rate and severely restricting the processing efficiency. Summary of the Invention

[0004] The following is an overview of the subject matter described in detail herein. This overview is not intended to limit the scope of protection of the claims.

[0005] The main objective of the embodiments of the present disclosure is to provide a variable pressure depth magnetorheological processing method and a processing system, which can achieve multi-pressure depth parameter processing in a single process, improving the processing efficiency and processing accuracy of continuous phase plates.

[0006] The first aspect of the embodiments of the present application provides a variable pressure depth magnetorheological processing method for a central controller, and the method includes:

[0007] Obtain the initial residual error of the element to be processed, and randomly generate the initial modification coefficient of the element to be processed;

[0008] Decompose the initial residual error according to the initial modification coefficient to obtain at least two sub-residual error distributions, and the spatial characteristics of any two sub-residual error distributions are different;

[0009] Construct a mapping relationship between the indentation depth of the magnetorheological processing polishing wheel and the modification ability corresponding to the indentation depth, where the magnetorheological processing polishing wheel is used to process the element to be processed;

[0010] Based on the mapping relationship, match each sub-residual error distribution with the penetration depth of the magnetorheological finishing polishing wheel, and perform iterative cycling until the iterative condition is met to obtain the machining modification coefficient and the corresponding penetration depth;

[0011] Calculate the corresponding dwell time distribution according to the machining modification coefficient and the corresponding penetration depth, and obtain the machining modification coefficient, the corresponding penetration depth, and the corresponding dwell time distribution of the element to be machined.

[0012] An embodiment of the present application provides a variable pressure depth magnetorheological finishing method, which obtains the initial residual error of the element to be machined and randomly generates the initial modification coefficient of the element to be machined; decomposes the initial residual error according to the initial modification coefficient to obtain at least two sub-residual error distributions; constructs a mapping relationship between the penetration depth of the magnetorheological finishing polishing wheel and the modification ability corresponding to the penetration depth; based on the mapping relationship, match each sub-residual error distribution with the penetration depth of the magnetorheological finishing polishing wheel, and perform iterative cycling until the iterative condition is met to obtain the machining modification coefficient and the corresponding penetration depth; calculate the corresponding dwell time distribution according to the machining modification coefficient and the corresponding penetration depth, and obtain the machining modification coefficient, the corresponding penetration depth, and the corresponding dwell time distribution of the element to be machined, which can realize multi-pressure depth parameter machining in a single process and improve the machining efficiency and machining accuracy of continuous phase elements.

[0013] In some embodiments of the present application, the calculation formula for decomposing the initial residual error according to the initial modification coefficient to obtain at least two sub-residual error distributions includes:

[0014] ;

[0015] ;

[0016] wherein, is the initial residual error of the current magnetorheological finishing point, is the initial modification coefficient.

[0017] In some embodiments of the present application, the construction of the mapping relationship between the penetration depth of the magnetorheological finishing polishing wheel and the modification ability corresponding to the penetration depth includes:

[0018] Define the penetration depth of the magnetorheological finishing polishing wheel;

[0019] Obtain the removal function corresponding to the penetration depth of the magnetorheological finishing polishing wheel;

[0020] According to the penetration depth and the removal function, construct a mapping relationship between the penetration depth of the magnetorheological finishing polishing wheel and the modification ability corresponding to the penetration depth.

[0021] In some embodiments of the present application, constructing a mapping relationship between the indentation depth of a magnetorheological machining polishing wheel and its corresponding modification ability according to the indentation depth and the removal function includes:

[0022] ;

[0023] ;

[0024] ;

[0025] wherein, The axis is the axial direction of the magnetorheological machining polishing wheel, The axis is the tangent direction at the lowest point of the magnetorheological machining polishing wheel, The axis is the normal direction at the lowest point of the magnetorheological machining polishing wheel, is the radius of the magnetorheological machining polishing wheel, is the thickness of the magnetorheological fluid ribbon at the lowest point of the magnetorheological machining polishing wheel, is the indentation depth at the lowest point of the magnetorheological machining polishing wheel, is the surface equation of the component to be machined, is the strength of the removal function, is the removal function The two-dimensional Fourier transform of, represents the modification ability of the removal function.

[0026] In some embodiments of the present application, the iteration includes:

[0027] Performing a machining simulation on the sub-residual error distribution according to the modification coefficient and the corresponding indentation depth in the iteration process to obtain a simulation machining result;

[0028] Calculating the root mean square of the sub-residual error distribution according to the simulation machining result and establishing an adaptability function of the sub-residual error distribution.

[0029] In some embodiments of the present application, the calculation formula for calculating the corresponding dwell time distribution according to the machining modification coefficient and the corresponding indentation depth includes:

[0030] ;

[0031] ;

[0032] wherein, is the residual error at the current magnetorheological machining point, and are integration variables, is the removal function at the current magnetorheological machining point, is the dwell time of the current magnetorheological machining point.

[0033] In some embodiments of the present application, the iteration condition includes: an adaptation function based on the sub-residual error distribution, and the root mean square satisfies a preset range.

[0034] To achieve the above object, a second aspect of the embodiments of the present invention provides a variable pressure depth magnetorheological machining system, the system includes:

[0035] An acquisition module, configured to acquire the initial residual error of the element to be machined and randomly generate the initial modification coefficient of the element to be machined;

[0036] A decomposition module, configured to decompose the initial residual error according to the initial modification coefficient to obtain at least two sub-residual error distributions, and the spatial characteristics of any two sub-residual error distributions are different;

[0037] A construction module, configured to construct a mapping relationship between the pressing depth of the magnetorheological machining polishing wheel and the corresponding modification ability of the pressing depth, and the magnetorheological machining polishing wheel is used to machine the element to be machined;

[0038] An iteration module, configured to match each sub-residual error distribution with the pressing depth of the magnetorheological machining polishing wheel based on the mapping relationship, and perform cyclic iteration until the iteration condition is satisfied to obtain the machining modification coefficient and the corresponding pressing depth;

[0039] A calculation module, configured to calculate the corresponding dwell time distribution according to the machining modification coefficient and the corresponding pressing depth, and obtain the machining modification coefficient, the corresponding pressing depth and the corresponding dwell time distribution of the element to be machined.

[0040] To achieve the above object, a third aspect of the embodiments of the present invention provides an electronic device, including: at least one control processor and a memory for communicatively connecting with the at least one control processor; the memory stores instructions executable by the at least one control processor, and the instructions are executed by the at least one control processor so that the at least one control processor can execute the above-mentioned variable pressure depth magnetorheological machining method.

[0041] To achieve the above object, a fourth aspect of the embodiments of the present invention provides a computer-readable storage medium, the computer-readable storage medium stores computer-executable instructions, and the computer-executable instructions are used to make a computer execute the above-mentioned variable pressure depth magnetorheological machining method.

[0042] It can be understood that the beneficial effects of the above second aspect to the fourth aspect compared with the related art are the same as the beneficial effects of the above first aspect compared with the related art, and the relevant descriptions in the above first aspect can be referred to, and will not be repeated here. Description of the Drawings

[0043] The above and / or additional aspects and advantages of the present application will become apparent and be readily understood from the description of the embodiments in conjunction with the following drawings, wherein:

[0044] Figure 1 is a schematic flowchart of a variable-depth magnetorheological machining method provided by an embodiment of the present application;

[0045] Figure 2 is a schematic diagram of the generation of a removal function provided by an embodiment of the present application;

[0046] Figure 3 is a schematic diagram of the coordinate system for the description of the magnetorheological fluid profile provided by an embodiment of the present application;

[0047] Figure 4 is a schematic diagram of the removal characteristics of the removal function at different depths of pressure provided by an embodiment of the present application;

[0048] Figure 5 is a schematic structural diagram of a variable-depth magnetorheological machining training system provided by an embodiment of the present application;

[0049] Figure 6 is a schematic hardware structure diagram of an electronic device provided by an embodiment of the present application. Detailed Embodiments

[0050] The embodiments of the present application will be described in detail below. The examples of the embodiments are shown in the drawings, wherein the same or similar reference numerals denote the same or similar elements or elements having the same or similar functions throughout. The embodiments described below with reference to the drawings are exemplary only for explaining the present application and should not be construed as limiting the present application.

[0051] In the description of the present application, if the first, second, etc. are described only for the purpose of distinguishing technical features, they should not be construed as indicating or implying relative importance or implicitly indicating the quantity of the indicated technical features or the sequence of the indicated technical features.

[0052] In the description of the present application, it should be understood that the orientation or positional relationship indicated by terms such as up, down, etc. is based on the orientation or positional relationship shown in the drawings, and is only for the convenience of describing the present application and simplifying the description, rather than indicating or implying that the device or element referred to must have a specific orientation, be constructed and operated in a specific orientation, and thus should not be construed as limiting the present application.

[0053] In the description of this application, it should be noted that unless otherwise clearly defined, terms such as "setting", "installation", "connection", etc. should be understood in a broad sense, and those skilled in the art can reasonably determine the specific meanings of the above terms in this application in combination with the specific content of the technical solution.

[0054] As a typical representative of diffractive optical elements, the continuous phase plate (Continuous Phase Plate) is characterized by a continuous random phase profile structure distributed on its surface. Different from the scattering loss and intensity modulation problems caused by discrete steps in traditional stepped phase elements, the continuous phase plate can effectively suppress high-order diffraction effects through a smooth phase structure, significantly improving the laser damage threshold of the element, and showing unique technical advantages in the fields of laser beam shaping, wavefront compensation, and light field modulation. In addition, by precisely controlling the phase distribution of the incident wavefront, the continuous phase plate can convert it into an output wavefront with a specific energy distribution (such as flat-top, Gaussian, or super-Gaussian distribution). In inertial confinement fusion (ICF) devices, to achieve uniform irradiation of the target pellet, it is required that the light intensity distribution of the laser focal spot has the characteristics of flat-topping, steep edges, and no side lobes, which poses extremely high requirements for the manufacturing accuracy of the continuous phase plate.

[0055] In recent years, with the development of inertial confinement fusion devices towards higher power and shorter pulses, the design parameters of continuous phase plates show a trend of miniaturization of spatial period (millimeter level) and doubling of modulation depth (from several micrometers to dozens of micrometers), which poses great challenges to the accuracy and adaptability of manufacturing processes.

[0056] Magnetorheological finishing technology, with its advantages of high certainty (material removal accuracy reaching the sub-nanometer level) and small subsurface damage, has become the mainstream processing method for continuous phase plates in inertial confinement fusion devices and formed a mature process flow. With the continuous improvement of the performance requirements of continuous phase plates in inertial confinement fusion systems, the traditional magnetorheological finishing technology gradually shows technical bottlenecks when dealing with the reduction of the minimum spatial period and the increase of modulation depth of continuous phase plates.

[0057] In the current process, a single removal function under a fixed pressing depth is generally used for multiple "processing - measurement - processing" iterations. On the surface of the fused silica substrate, the target structure is achieved through repeated shaping. However, the surface of the continuous phase element has the characteristics of a complex phase distribution with multi - scale interweaving. It is difficult for a single removal function to effectively match the spatial frequency of its surface microstructure, resulting in a low convergence rate of low - frequency errors. In addition, the diameter of the polishing wheel in the magnetorheological polishing technology usually exceeds 100 mm, making it difficult to precisely machine a structure with a spatial period less than 8 mm. In summary, due to the lack of multi - scale shaping ability of the conventional magnetorheological removal function and the limitation of the physical size of the polishing tool, the imbalance between precision and efficiency in the manufacturing process of continuous phase elements has occurred, becoming the main technical obstacle to the current process optimization.

[0058] Based on this, the embodiments of this application provide a variable pressing depth magnetorheological processing method and a processing system, aiming to achieve multi - pressing depth parameter processing in a single process, improving the processing efficiency and processing precision of continuous phase elements.

[0059] The variable pressing depth magnetorheological processing and processing system provided by the embodiments of this application are specifically described through the following embodiments. First, the variable pressing depth magnetorheological processing method in the embodiments of this application is described.

[0060] The embodiments of this application can acquire and process relevant data based on artificial intelligence technology. Among them, artificial intelligence (AI) is a theory, method, technology, and application system that uses digital computers or machines controlled by digital computers to simulate, extend, and expand human intelligence, perceive the environment, acquire knowledge, and use knowledge to obtain the best results.

[0061] Artificial intelligence basic technologies generally include technologies such as sensors, dedicated artificial intelligence chips, cloud computing, distributed storage, big data processing technology, operation / interaction systems, and mechatronics. Artificial intelligence software technologies mainly include several major directions such as computer vision technology, robotics, biometric technology, speech processing technology, natural language processing technology, and machine learning / deep learning.

[0062] The variable-pressure deep magnetic rheological processing method provided by the embodiments of the present application relates to the technical field of optical processing. The variable-pressure deep magnetic rheological processing method provided by the embodiments of the present application can be applied to a terminal, can also be applied to a server, or can be software running on a terminal or a server. In some embodiments, the terminal can be a smart phone, a tablet computer, a laptop computer, a desktop computer, etc.; the server can be configured as an independent physical server, can also be configured as a server cluster or a distributed system composed of multiple physical servers, or can be configured as a cloud server providing basic cloud computing services such as cloud services, cloud databases, cloud computing, cloud functions, cloud storage, network services, cloud communications, middleware services, domain name services, security services, CDN, and big data and artificial intelligence platforms; the software can be an application implementing the variable-pressure deep magnetic rheological processing method, etc., but is not limited to the above forms.

[0063] The present application can be used in many general or special computer system environments or configurations. For example: personal computers, server computers, handheld or portable devices, tablet-type devices, multi-processor systems, microprocessor-based systems, set-top boxes, programmable consumer electronic devices, network PCs, minicomputers, mainframe computers, distributed computing environments including any of the above systems or devices, and so on. The present application can be described in the general context of computer-executable instructions executed by a computer, such as program modules. Generally, program modules include routines, programs, objects, components, data structures, etc. that perform specific tasks or implement specific abstract data types. The present application can also be practiced in a distributed computing environment where tasks are performed by remote processing devices connected through a communication network. In a distributed computing environment, program modules can be located in local and remote computer storage media including storage devices.

[0064] Therefore, referring to Figure 1 , the embodiments of the present application provide a variable-pressure deep magnetic rheological processing method. This method is applied to a central controller. The controller can be a server, an electronic device, or a mobile terminal, etc., which is not specifically limited here. The method includes the following steps S110 to S150.

[0065] Step S110: Obtain the initial residual error of the element to be processed, and randomly generate the initial modification coefficient of the element to be processed.

[0066] In this step, preferably, the initial residual error of the element to be processed is obtained by comparing the preset standard surface shape and the actually measured base surface shape.

[0067] Specifically, the actual base surface shape can be measured by using an interferometer and then compared with the preset standard surface shape. The difference between the preset standard surface shape and the actually measured base surface shape is the initial residual error.

[0068] Further, an initial modification coefficient of the element to be processed is randomly generated for the subsequent iterative optimization process. By combining the initial modification coefficient of the element to be processed with different pressing depths (D), a group of initial input populations is formed. Among them, each combination of the modification coefficient and the pressing depth represents a possible processing strategy or path, which is used to find the most suitable combination of the modification coefficient and the pressing depth in the subsequent iterative optimization process, so as to effectively reduce the residual error and improve the processing accuracy and efficiency of the continuous phase element.

[0069] Step S120: Decompose the initial residual error according to the initial modification coefficient to obtain at least two sub-residual error distributions, and the spatial characteristics of any two sub-residual error distributions are different.

[0070] In this step, using the initial modification coefficient, the initial residual error is decomposed into multiple sub-residual error distributions. Each sub-residual error distribution represents a specific part or characteristic of the original error.

[0071] Specifically, through decomposition, the correction can be more accurately targeted at the different spatial frequency characteristics of the surface of the continuous phase element. During the decomposition process, by decomposing the initial residual error into sub-residual error distributions with different spatial characteristics, it is ensured that each sub-residual error distribution corresponds to the error characteristics of different scales or different spatial frequencies on the surface of the continuous phase element.

[0072] In some embodiments, among the decomposed sub-residual error distributions, one sub-residual error may be concentrated on the low-frequency error components, while another sub-residual error may pay more attention to the high-frequency error components, so as to more accurately process the multi-scale errors on the surface of the continuous phase element, which helps to improve the matching degree of the removal function to the complex phase distribution characteristics of the surface of the continuous phase element and achieve more effective error reduction.

[0073] In some embodiments, the calculation formula for decomposing the initial residual error according to the initial modification coefficient to obtain at least two sub-residual error distributions includes:

[0074] ;

[0075] ;

[0076] where is the initial residual error of the current magnetorheological machining point, is the initial modification coefficient.

[0077] Step S130: Construct a mapping relationship between the pressing depth of the magnetorheological machining polishing wheel and the modification ability corresponding to the pressing depth. The magnetorheological machining polishing wheel is used to machine the element to be processed.

[0078] In this step, a mapping relationship between the penetration depth of the magnetorheological finishing polishing wheel and its corresponding profile modification ability is constructed, which is specifically determined through experiments and calculations. For each possible penetration depth value, the corresponding removal function is measured, and the key characteristics of the corresponding removal function are recorded to obtain a series of characteristics, demonstrating the specific performance of the removal function at different penetration depths.

[0079] Specifically, as Figure 2 shown, Figure 2 shows the material removal mechanism based on magnetorheological fluid, including: an element fixed in the central region of the coordinate system as the processing object and an intelligent fluid medium (magnetorheological fluid) wrapping the element, whose rheological properties are regulated in real time by a magnetic field. By using a rectangular coordinate system to define the spatial distribution of the removal function, a three-dimensional characteristic space of the removal function is constructed to accurately describe the spatial position and shape of the removal function. Among them, is the front-end length of the removal function, is the back-end length of the removal function, is the width of the removal function.

[0080] Furthermore, the removal function describes the material removal characteristics when the magnetorheological fluid contacts the workpiece surface under specific conditions (such as the penetration depth D). The characteristics of the removal function include the full width at half maximum, the removal rate, and the ability to process the smallest spatial periodic structure, etc. Therefore, the front-end length, back-end length, and width of the removal function are key parameters that determine the specific shape and range of material removal.

[0081] Furthermore, the profile modification ability of the magnetorheological removal function changes with the change of the penetration depth. As Figure 3 shown, the removal characteristics of the removal function at different penetration depths are different, that is, different penetration depths will cause significant changes in the full width at half maximum, the removal rate, and the ability to process the smallest spatial periodic structure of the removal function. Therefore, by adjusting the penetration depth, the size and profile modification ability of the removal function can be controlled, so as to more effectively match different features on the surface of the continuous phase element.

[0082] In some embodiments, in step S130, constructing the mapping relationship between the penetration depth of the magnetorheological finishing polishing wheel and the profile modification ability corresponding to the penetration depth includes the following steps:

[0083] Step S210: Define the penetration depth of the magnetorheological finishing polishing wheel;

[0084] Step S220: Obtain the removal function corresponding to the penetration depth of the magnetorheological finishing polishing wheel;

[0085] Step S230: Construct a mapping relationship between the indentation depth of the magnetorheological machining polishing wheel and the corresponding modification ability according to the indentation depth and the removal function.

[0086] In this embodiment, a series of different indentation depths need to be defined first. Specifically, different indentation depths will affect the characteristics of the removal function. Therefore, the selection of the indentation depth should cover all ranges that may be used in the actual machining process to ensure that the optimal machining parameter combination can be found.

[0087] Furthermore, obtain the removal function corresponding to the indentation depth of the magnetorheological machining polishing wheel. For each selected indentation depth, determine its corresponding removal function. Among them, the removal function describes the removal efficiency and distribution of the magnetorheological fluid on the surface material of the workpiece being machined at the corresponding indentation depth. Specifically, the removal functions corresponding to different indentation depths of the magnetorheological machining polishing wheel can be obtained through experimental methods. Preferably, precision measuring tools such as interferometers can be used to quantify the removal effects at different indentation depths.

[0088] Furthermore, the key parameters of the removal function include the full width at half maximum (FWHM), the removal rate, and the ability to process the smallest spatial periodic structure, etc. These parameters reflect the specific modification ability at different indentation depths. Therefore, a mapping relationship between the indentation depth of the magnetorheological machining polishing wheel and the corresponding modification ability can be constructed according to the indentation depth and the removal function. By adjusting based on the mapping relationship, not only the controllability of the machining process is improved, but also technical support is provided for realizing the manufacture of higher-quality optical elements.

[0089] Specifically, construct a mapping relationship between the indentation depth of the magnetorheological machining polishing wheel and its corresponding modification ability. By associating each indentation depth with the characteristics of its corresponding removal function, the specific modification ability at different indentation depths is reflected, so that the constructed mapping relationship can be used to select the most suitable indentation depth for the current machining task during the actual machining process. Combining optimization techniques such as genetic algorithms, the best combination can be found among multiple indentation depths, so that each step of machining can minimize the residual error and improve the machining accuracy to the greatest extent.

[0090] In some embodiments, as Figure 4 shown in the schematic diagram of the coordinate system described by the magnetorheological fluid profile, the dynamic behavior of the magnetorheological fluid during the polishing process is accurately described by the cooperation of the three-dimensional coordinate system and the key parameters. Among them, the polishing wheel is used to rotate for polishing the component, and a magnetorheological polishing ribbon is formed on the surface of the polishing wheel, and its thickness is regulated by the electromagnetic field strength gradient, and the arrow indicates that the polishing wheel rotates clockwise.

[0091] Specifically, in Figure 4 the three-dimensional coordinate system The axis extends along the axis of the polishing wheel, determining the lateral machining range, which is the axis direction of the magnetorheological finishing polishing wheel; The axis is along the tangent direction at the lowest point of the polishing wheel, corresponding to the feed motion vector of the machine tool, which is the tangent direction at the lowest point of the magnetorheological finishing polishing wheel; The axis is orthogonal to the outer circular surface of the polishing wheel, quantifying the normal pressure component, which is the normal direction at the lowest point of the magnetorheological finishing polishing wheel; is the radius of the magnetorheological finishing polishing wheel, is the indentation depth at the lowest point of the magnetorheological finishing polishing wheel, is the width of the magnetorheological fluid on the surface of the polishing wheel.

[0092] Furthermore, according to the indentation depth and the removal function, a mapping relationship between the indentation depth of the magnetorheological finishing polishing wheel and its corresponding shape correction ability is constructed, including:

[0093] ;

[0094] ;

[0095] ;

[0096] Among them, The axis is the axis direction of the magnetorheological finishing polishing wheel, The axis is the tangent direction at the lowest point of the magnetorheological finishing polishing wheel, The axis is the normal direction at the lowest point of the magnetorheological finishing polishing wheel, is the radius of the magnetorheological finishing polishing wheel, is the ribbon thickness of the magnetorheological fluid at the lowest point of the magnetorheological finishing polishing wheel, is the indentation depth at the lowest point of the magnetorheological finishing polishing wheel, is the surface shape equation of the component to be machined, is the intensity of the removal function, is the removal function is the two-dimensional Fourier transform of, represents the shape correction ability of the removal function.

[0097] Step S140: Based on the mapping relationship, match each sub-residual error distribution with the indentation depth of the magnetorheological finishing polishing wheel, and perform iterative cycling until the iterative condition is satisfied, obtaining the machining shape correction coefficient and the corresponding indentation depth.

[0098] In this step, based on the constructed mapping relationship between the indentation depth and the shape correction ability, match each sub-residual error distribution with the indentation depth of the magnetorheological finishing polishing wheel, and perform optimization processing through iterative cycling until the preset iterative condition is satisfied.

[0099] In some embodiments, the iterative condition for the cyclic iteration of each sub-remaining error distribution and the indentation depth of the magnetorheological finishing polishing wheel is an adaptation function based on the sub-remaining error distribution, and the root mean square satisfies a preset range.

[0100] Specifically, based on the mapping relationship between the indentation depth of the magnetorheological finishing polishing wheel and the corresponding dressing ability, each sub-remaining error distribution is matched with a suitable indentation depth to find the indentation depth and the corresponding dressing coefficient that can most effectively reduce the sub-remaining error.

[0101] Furthermore, an adaptation function is usually defined based on the root mean square (RMS) of the sub-remaining error distribution to quantify the machining effect and evaluate the effect of each set of dressing coefficient and indentation depth combinations.

[0102] Specifically, a genetic algorithm is used to optimize the dressing coefficient and the indentation depth. The genetic algorithm gradually approaches the optimal solution through selection, crossover, and mutation operations. In each iteration, the adaptation function value (i.e., the RMS value of the sub-remaining error distribution) is calculated and recorded.

[0103] Furthermore, when the root mean square values of all sub-remaining error distributions satisfy the preset range, the iteration terminates. Thus, the machining accuracy and efficiency of the continuous phase element are significantly improved through iterative optimization, overcoming the technical bottleneck existing in traditional fixed-depth machining.

[0104] In some embodiments, the iteration in step S140 includes the following steps:

[0105] Step S310: Perform machining simulation on the sub-remaining error distribution according to the dressing coefficient and the corresponding indentation depth in the iteration process to obtain the simulation machining result;

[0106] Step S320: Calculate the root mean square of the sub-remaining error distribution according to the simulation machining result and establish an adaptation function for the sub-remaining error distribution.

[0107] In this embodiment, during the iteration process, by using the dressing coefficient and the corresponding indentation depth to perform machining simulation on the sub-remaining error distribution, the corresponding simulation machining result is determined, and then the root mean square (RMS) of the sub-remaining error distribution is calculated based on the simulation result to establish an adaptation function.

[0108] Specifically, in each iteration, the current modification coefficient of the element to be processed and the corresponding press-in depth are used as input parameters. Among them, the current modification coefficient and the corresponding press-in depth are generated through the genetic algorithm optimization process. Then, based on the removal function characteristics of the magnetorheological polishing technology, a processing simulation model is constructed. This processing simulation model simulates how the magnetorheological fluid interacts with the surface of the element to be processed at a given press-in depth, and the corresponding predicted experimental results can be obtained through simulation experiments, facilitating the adjustment of processing parameters according to the experimental results, thereby removing the element to be processed and correcting the surface error of the element to be processed.

[0109] Furthermore, for each sub-residual error distribution, the above processing simulation model is used for processing simulation. During the simulation process, the removal effect of the element to be processed and the finally obtained surface shape are recorded. After each simulation ends, the surface shape after simulation processing is compared with the preset standard surface shape, and a new residual error distribution is calculated, that is, the difference between the actually processed surface and the ideal surface is calculated.

[0110] Furthermore, for each sub-residual error distribution, its root mean square value (RMS) is calculated to quantify the magnitude of the processing error.

[0111] Furthermore, an adaptability function is established. Among them, the adaptability function is an index used to evaluate the effect of each combination of modification coefficient and press-in depth. By minimizing the root mean square value of the sub-residual error distribution through the adaptability function, the optimal combination is selected to enter the population of the next generation of the genetic algorithm.

[0112] Specifically, the form of the adaptability function can be adjusted according to specific requirements, but usually the root mean square value or its reciprocal is directly used as the evaluation criterion.

[0113] Specifically, in each generation of the genetic algorithm, the adaptability function values of all individuals (i.e., combinations of modification coefficient and press-in depth) are calculated. In some embodiments, the higher the adaptability function value (if the reciprocal form is used), or the lower the value (if the RMS value is directly used), the closer the combination is to the optimal solution. Thus, through multiple generations of iteration, the best combination of modification coefficient and press-in depth is gradually selected.

[0114] Finally, a set of optimal modification coefficients and the corresponding press-in depth are obtained, and actual processing is carried out. The surface shape of the continuous phase element after processing is measured, and it is checked whether the residual error meets the standard to ensure that the surface error after processing meets the design requirements.

[0115] Step S150: Calculate the corresponding dwell time distribution according to the processing modification coefficient and the corresponding press-in depth, and obtain the processing modification coefficient, the corresponding press-in depth, and the corresponding dwell time distribution of the element to be processed.

[0116] In this step, the dwell time refers to the time that the magnetorheological polishing wheel stays at a specific position, which directly affects the material removal amount at that position. Specifically, the corresponding dwell time distribution is calculated according to the machining modification coefficient and the corresponding indentation depth to obtain the machining parameters of the component to be machined.

[0117] Specifically, each indentation depth corresponds to a specific removal function, which describes the removal efficiency and distribution of the magnetorheological fluid on the workpiece surface material under this condition. Based on the removal function, the relationship between the material removal amount and the dwell time can be established. Furthermore, according to the shape of the sub-remaining error distribution, the amount of material to be removed at each position is calculated.

[0118] Furthermore, the machining parameters of the component to be machined are obtained, including the machining modification coefficient obtained by optimization methods such as the genetic algorithm, the indentation depth corresponding to the machining modification coefficient, and the dwell time distribution corresponding to the machining modification coefficient, which are used to control the material removal amount of the magnetorheological polishing wheel at different positions to ensure the optimal material removal effect at the corresponding position and achieve precise material removal.

[0119] In some embodiments, the calculation formula for calculating the corresponding dwell time distribution according to the machining modification coefficient and the corresponding indentation depth includes:

[0120] ;

[0121] ;

[0122] Wherein, is the remaining error of the current magnetorheological machining point, and are integral variables, is the removal function of the current magnetorheological machining point, is the dwell time of the current magnetorheological machining point.

[0123] Specifically, and These two parameters represent the displacements in the two-dimensional space relative to the current position and can be calculated by scanning and accumulating over the entire domain.

[0124] In some embodiments, first, based on the random modification coefficient ( ), the initial remaining error is decomposed into multiple sub-remaining error distributions with different spatial characteristics, and then the removal functions at different indentation depths in the indentation depth range of 0.1 - 0.4 mm are obtained, and the mapping relationship between the magnetorheological indentation depth and its removal function modification ability is established;

[0125] Further, taking the root mean square (RMS) of the minimum residual as the evaluation index, the genetic algorithm is used for optimization to find a suitable set of dressing coefficients, and the decomposed sub-residual error distribution is matched with multiple magnetorheological indentation depths, so as to calculate the corresponding dwell time in sequence. And multiple sets of numerical control machining codes are generated.

[0126] Further, these numerical control machining codes are integrated in sequence, so as to realize multi-indentation parameter machining in a single process, overcoming the limitations of insufficient dressing ability and insufficient dynamic performance of traditional fixed-indentation machining, and at the same time improving the machining efficiency and accuracy of continuous phase elements.

[0127] Among them, the mapping relationship between the magnetorheological indentation depth and its dressing ability of the removal function specifically includes:

[0128] First, the intersection line equation of the magnetorheological fluid and the workpiece is:

[0129] ;

[0130] Among them, The axis is the axis direction of the magnetorheological machining polishing wheel, The axis is the tangent direction of the lowest point of the magnetorheological machining polishing wheel, The axis is the normal direction of the lowest point of the magnetorheological machining polishing wheel, Is the radius of the magnetorheological machining polishing wheel, Is the ribbon thickness of the magnetorheological fluid at the lowest point of the magnetorheological machining polishing wheel, Is the indentation depth at the lowest point of the magnetorheological machining polishing wheel, Is the surface equation of the component to be machined.

[0131] Further, the dressing ability of the removal function is expressed as:

[0132] ;

[0133] ;

[0134] Among them, Is the removal function strength, Is the removal function Of the two-dimensional Fourier transform, Represents the dressing ability of the removal function, Is Of the amplitude. Among them, the dressing ability of magnetorheological polishing is equal to the amplitude spectrum after the Fourier transform of the removal function. For removal functions of different sizes, their Fourier transform amplitude spectra can be used to compare the differences in their dressing abilities.

[0135] Therefore, the dressing ability of the magnetorheological removal function changes with the indentation depth vary with the change of, such as Figure 3 By changing the pressing depth, its full width at half maximum, removal rate, and the ability to machine the minimum spatial periodic structure change significantly.

[0136] In some embodiments, a random set of modification coefficients is generated and satisfies The initial residual error is decomposed into multiple sub-residual error distributions with different spatial characteristics, as shown in the following formula:

[0137] ;

[0138] Specifically, the initial residual error is obtained by subtracting the actually measured base surface shape from the designed surface shape (the surface shape is measured by an interferometer). By using the experimental method, the removal functions at multiple pressing depths are obtained, and the mapping relationship between the pressing depth and the modification ability of the removal function is established.

[0139] Furthermore, through genetic algorithm optimization: A set of initial modification coefficients and various pressing depths are used as the initial input population, and the root mean square of the optimal residual error is used as the evaluation parameter to match different pressing depths with the sub-residual errors, and finally the matching relationship between the modification coefficients and the pressing depths is obtained. Among them, the genetic algorithm is a computational model. After inputting the initial modification coefficients and various pressing depths as the initial population, it can perform machining simulations on the decomposed multiple residual errors and use the root mean square value of the residual error as the evaluation index of the model, so as to obtain a root mean square value in each iteration.

[0140] Finally, after several cross-mutation iterative simulations, a minimum root mean square value is obtained, and the modification coefficients and pressing depths corresponding to the minimum root mean square value of the simulation are determined.

[0141] According to the removal mechanism of magnetorheological materials, when the pressure, relative velocity, and other process parameters remain unchanged, the participation error of the optical element is equal to the convolution of the removal function and the dwell time along the machining trajectory. The at each pressing depth can be obtained according to deconvolution or linear equations.

[0142] ;

[0143] ;

[0144] Among them, is the residual error at the current magnetorheological machining point, and are integration variables, is the removal function for the current magnetorheological machining point. is the dwell time for the current magnetorheological machining point.

[0145] Further, according to the dwell time , numerical control machining code (NC) is generated, that is, the machining code for the machining machine is generated to control the operation of the machining machine, and multi-depth-of-indentation parameter modification of the continuous phase element is realized in a single process.

[0146] In some embodiments, by generating numerical control machining code (NC), the machine tool is controlled through the numerical control machining code program for machining to achieve automatic mechanized operation.

[0147] Further, after the machining modification is completed, by measuring the surface shape of the continuous phase element, it is checked whether the residual error RMS meets the standard. If not, the genetic algorithm is used again to find a better machining modification coefficient and depth of indentation.

[0148] In some embodiments, by obtaining the initial residual error of the element to be machined, the initial modification coefficient of the element to be machined is randomly generated; according to the initial modification coefficient, the initial residual error is decomposed to obtain at least two sub-residual error distributions; a mapping relationship between the depth of indentation of the magnetorheological machining polishing wheel and the modification ability corresponding to the depth of indentation is constructed; based on the mapping relationship, each sub-residual error distribution is matched with the depth of indentation of the magnetorheological machining polishing wheel, and iterative cycling is carried out until the iteration condition is met to obtain the machining modification coefficient and the corresponding depth of indentation; according to the machining modification coefficient and the corresponding depth of indentation, the corresponding dwell time distribution is calculated, and the machining modification coefficient, the corresponding depth of indentation, and the corresponding dwell time distribution of the element to be machined are obtained, which can realize multi-depth-of-indentation parameter machining in a single process and improve the machining efficiency and machining accuracy of the continuous phase element.

[0149] As Figure 5 shown, some embodiments of the present application provide a variable-depth magnetorheological machining system, which includes an acquisition module 510, a decomposition module 520, a construction module 530, an iteration module 540, and a calculation module 550. Specifically:

[0150] The acquisition module 510 is used to obtain the initial residual error of the element to be machined and randomly generate the initial modification coefficient of the element to be machined.

[0151] The decomposition module 520 is used to decompose the initial residual error according to the initial modification coefficient to obtain at least two sub-residual error distributions, and the spatial characteristics of any two sub-residual error distributions are different.

[0152] The construction module 530 is used to construct a mapping relationship between the depth of indentation of the magnetorheological machining polishing wheel and the modification ability corresponding to the depth of indentation, and the magnetorheological machining polishing wheel is used to machine the element to be machined.

[0153] An iterative module 540, configured to match each sub-residual error distribution with the indentation depth of the magnetorheological finishing polishing wheel based on a mapping relationship, and perform iterative cycles until an iterative condition is met, so as to obtain a machining modification coefficient and the corresponding indentation depth.

[0154] A calculation module 550, configured to calculate a corresponding dwell time distribution according to the machining modification coefficient and the corresponding indentation depth, so as to obtain the machining modification coefficient of the element to be machined, the corresponding indentation depth, and the corresponding dwell time distribution.

[0155] In some embodiments, the decomposition module 520 may include:

[0156] ;

[0157] ;

[0158] Wherein, is the initial residual error of the current magnetorheological machining point, is the initial modification coefficient.

[0159] In some embodiments, the construction module 530 may include: defining the indentation depth of the magnetorheological finishing polishing wheel.

[0160] In some embodiments, the construction module 530 may include: obtaining a removal function corresponding to the indentation depth of the magnetorheological finishing polishing wheel.

[0161] In some embodiments, the construction module 530 may include: constructing a mapping relationship between the indentation depth of the magnetorheological finishing polishing wheel and the modification ability corresponding to the indentation depth according to the indentation depth and the removal function.

[0162] In some embodiments, the construction module 530 may include:

[0163] ;

[0164] ;

[0165] ;

[0166] Wherein, axis is the axis direction of the magnetorheological finishing polishing wheel, axis is the tangent direction of the lowest point of the magnetorheological finishing polishing wheel, axis is the normal direction of the lowest point of the magnetorheological finishing polishing wheel, is the radius of the magnetorheological finishing polishing wheel, is the thickness of the magnetorheological fluid ribbon at the lowest point of the magnetorheological finishing polishing wheel, is the indentation depth at the lowest point of the magnetorheological finishing polishing wheel, is the surface shape equation of the component to be processed, is the intensity of the removal function, is the removal function of the two-dimensional Fourier transform, represents the modification ability of the removal function.

[0167] In some embodiments, the iteration module 540 may include: performing a machining simulation on the sub-residual error distribution according to the modification coefficient and the corresponding indentation depth during the iteration process to obtain a simulation machining result.

[0168] In some embodiments, the iteration module 540 may include: calculating the root mean square of the sub-residual error distribution according to the simulation machining result and establishing an adaptability function of the sub-residual error distribution.

[0169] In some embodiments, the calculation module 550 may include:

[0170] ;

[0171] ;

[0172] wherein, is the residual error at the current magnetorheological machining point, and are integration variables, is the removal function at the current magnetorheological machining point, is the dwell time at the current magnetorheological machining point.

[0173] In some embodiments, the iteration module 540 may include: the iteration condition includes an adaptability function based on the sub-residual error distribution, and the root mean square satisfies a preset range.

[0174] It should be noted that the variable-depth magnetorheological machining system provided in this embodiment and the above-mentioned variable-depth magnetorheological machining method are based on the same inventive concept. Therefore, the relevant content of the above-mentioned variable-depth magnetorheological machining method also applies to the content of the variable-depth magnetorheological machining system. Therefore, it will not be elaborated here.

[0175] In order to, the system generates an initial modification coefficient of the element to be processed by obtaining the initial residual error of the element to be processed; decomposes the initial residual error according to the initial modification coefficient to obtain at least two sub-residual error distributions; constructs a mapping relationship between the pressing depth of the magnetorheological processing polishing wheel and the corresponding modification ability of the pressing depth; based on the mapping relationship, matches each sub-residual error distribution with the pressing depth of the magnetorheological processing polishing wheel, and iterates cyclically until the iteration condition is met, to obtain the processing modification coefficient and the corresponding pressing depth; calculates the corresponding dwell time distribution according to the processing modification coefficient and the corresponding pressing depth, and obtains the processing modification coefficient, the corresponding pressing depth and the corresponding dwell time distribution of the element to be processed. In this way, multi-pressing depth parameter processing can be realized in a single process, improving the processing efficiency and processing accuracy of continuous phase elements.

[0176] An embodiment of the present application also provides an electronic device, which includes a memory and a processor. The memory stores a computer program, and when the processor executes the computer program, the above variable pressing depth magnetorheological processing method is implemented.

[0177] As Figure 6 , Figure 6 is a schematic hardware structure diagram of the electronic device provided by the embodiment of the present application. The electronic device includes:

[0178] At least one battery;

[0179] At least one memory;

[0180] At least one processor;

[0181] At least one program;

[0182] The program is stored in the memory, and the processor executes at least one program to implement a variable pressing depth magnetorheological processing method as described above in the present disclosure.

[0183] The electronic device can be any intelligent terminal including a mobile phone, a tablet computer, a personal digital assistant (Personal Digital Assistant, PDA), a vehicle-mounted computer, etc.

[0184] The following provides a detailed introduction to the electronic device of the embodiment of the present application.

[0185] The processor 1600 can be implemented by using a general-purpose central processing unit (Central Processing Unit, CPU), a microprocessor, an application-specific integrated circuit (Application Specific Integrated Circuit, ASIC), or one or more integrated circuits, etc., and is used to execute relevant programs to implement the technical solutions provided by the embodiments of the present disclosure;

[0186] The memory 1700 can be implemented in the form of a read-only memory (ROM), a static storage device, a dynamic storage device, or a random access memory (RAM), etc. The memory 1700 can store an operating system and other application programs. When implementing the technical solutions provided in the embodiments of this specification through software or firmware, the relevant program codes are stored in the memory 1700 and are called by the processor 1600 to execute a variable-pressure deep magnetorheological processing method according to an embodiment of the present disclosure.

[0187] The input / output interface 1800 is used to implement information input and output;

[0188] The communication interface 1900 is used to implement communication interaction between this device and other devices. It can achieve communication through wired means (such as USB, network cable, etc.) or wireless means (such as mobile network, WIFI, Bluetooth, etc.);

[0189] The bus 2000 transmits information between various components of the device (such as the processor 1600, the memory 1700, the input / output interface 1800, and the communication interface 1900);

[0190] Among them, the processor 1600, the memory 1700, the input / output interface 1800, and the communication interface 1900 are communicatively connected to each other inside the device through the bus 2000.

[0191] An embodiment of the present disclosure also provides a storage medium, which is a computer-readable storage medium. The computer-readable storage medium stores computer-executable instructions, and the computer-executable instructions are used to cause a computer to execute the above-mentioned variable-pressure deep magnetorheological processing method.

[0192] As a non-transitory computer-readable storage medium, the memory can be used to store non-transitory software programs and non-transitory computer-executable programs. In addition, the memory can include high-speed random access memory, and can also include non-transitory memory, such as at least one magnetic disk storage device, a flash memory device, or other non-transitory solid-state storage devices. In some embodiments, the memory may optionally include memories remotely provided with respect to the processor, and these remote memories can be connected to the processor through a network. Examples of the above-mentioned network include but are not limited to the Internet, an enterprise intranet, a local area network, a mobile communication network, and combinations thereof.

[0193] The embodiments described in the embodiments of the present disclosure are for more clearly explaining the technical solutions of the embodiments of the present disclosure, and do not constitute a limitation on the technical solutions provided by the embodiments of the present disclosure. Those skilled in the art will know that with the evolution of technology and the emergence of new application scenarios, the technical solutions provided by the embodiments of the present disclosure are equally applicable to similar technical problems.

[0194] Those skilled in the art can understand that the technical solutions shown in the figures do not constitute a limitation on the embodiments of the present disclosure, and may include more or fewer steps than those shown in the figures, or combine certain steps, or different steps.

[0195] The device embodiments described above are merely illustrative. The units described as separate components may or may not be physically separated, that is, they may be located in one place, or may be distributed to multiple network units. Some or all of the modules can be selected according to actual needs to achieve the purpose of the solution of this embodiment.

[0196] Those of ordinary skill in the art can understand that all or some of the steps in the methods disclosed above, and the functional modules / units in the systems and devices, can be implemented as software, firmware, hardware, and their appropriate combinations.

[0197] The terms "first", "second", "third", "fourth", etc. (if any) in the specification of this application and the above-mentioned drawings are used to distinguish similar objects, and do not necessarily have to be used to describe a specific order or sequence. It should be understood that such data can be interchanged under appropriate circumstances, so that the embodiments of the present application described here can be implemented in an order other than those illustrated or described here. In addition, the terms "including" and "having" and any variations thereof are intended to cover non-exclusive inclusion. For example, a process, method, system, product, or device that includes a series of steps or units does not necessarily have to be limited to those steps or units clearly listed, but may include other steps or units that are not clearly listed or are inherent to these processes, methods, products, or devices.

[0198] It should be understood that in this application, "at least one (item)" means one or more, and "a plurality" means two or more. "And / or" is used to describe the association relationship of associated objects, indicating that there can be three relationships. For example, "A and / or B" can mean: only A exists, only B exists, and both A and B exist at the same time. Among them, A and B can be singular or plural. The character " / " generally indicates that the associated objects before and after are in an "or" relationship. "At least one (one) of the following" or a similar expression means any combination of these items, including any combination of single items (ones) or plural items (ones). For example, at least one (one) of a, b, or c can mean: a, b, c, "a and b", "a and c", "b and c", or "a and b and c", where a, b, c can be single or multiple.

[0199] In several embodiments provided in this application, it should be understood that the disclosed devices and methods can be implemented in other ways. For example, the device embodiments described above are merely illustrative. For example, the division of units is only a logical function division. In actual implementation, there can be other division methods. For example, multiple units or components can be combined or integrated into another system, or some features can be ignored or not executed. Another point is that the displayed or discussed coupling or direct coupling or communication connection between each other can be through some interfaces. The indirect coupling or communication connection of devices or units can be in electrical, mechanical or other forms.

[0200] The units described as separate components may or may not be physically separated. The components displayed as units may or may not be physical units, that is, they can be located in one place, or they can be distributed to multiple network units. Some or all of the units can be selected according to actual needs to achieve the purpose of the solution of this embodiment.

[0201] In addition, the functional units in each embodiment of this application can be integrated in a processing unit, or each unit can exist physically alone, or two or more units can be integrated in one unit. The above integrated units can be implemented in the form of hardware or in the form of software functional units.

[0202] When the integrated unit is implemented in the form of a software functional unit and sold or used as an independent product, it can be stored in a computer-readable storage medium. Based on this understanding, the technical solution of this application, in essence, or the part that contributes to the prior art, or all or part of this technical solution, can be embodied in the form of a software product. This computer software product is stored in a storage medium and includes multiple instructions for causing an electronic device (which may be a personal computer, a server, or a network device, etc.) to execute all or part of the steps of the methods of various embodiments of this application. The aforementioned storage medium includes: various media that can store programs, such as USB flash drives, mobile hard disks, read-only memory (ROM), random access memory (RAM), magnetic disks, or optical discs.

[0203] The above has specifically described the preferred implementation of the embodiments of this application, but the embodiments of this application are not limited to the above-mentioned implementation manners. Those skilled in the art can also make various equivalent deformations or substitutions without departing from the spirit of the embodiments of this application, and these equivalent deformations or substitutions are all included within the scope defined by the claims of the embodiments of this application.

[0204] The above has described the embodiments of this application in detail with reference to the accompanying drawings, but this application is not limited to the above embodiments. Within the scope of knowledge possessed by those of ordinary skill in the art to which it pertains, various changes can also be made without departing from the purpose of this application.

Claims

1. A variable-pressure deep magnetic rheological processing method, characterized in that, The method includes: Obtaining an initial residual error of a component to be processed, and randomly generating an initial modification coefficient of the component to be processed; Decomposing the initial residual error according to the initial modification coefficient to obtain at least two sub-residual error distributions, and there are differences in the spatial characteristics of any two sub-residual error distributions; Constructing a mapping relationship between the indentation depth of a magnetorheological finishing polishing wheel and the modification ability corresponding to the indentation depth, where the magnetorheological finishing polishing wheel is used to process the component to be processed; Based on the mapping relationship, matching each sub-residual error distribution with the indentation depth of the magnetorheological finishing polishing wheel, and performing iterative cycles until the iteration condition is met, to obtain a processing modification coefficient and the corresponding indentation depth; Calculating the corresponding dwell time distribution according to the processing modification coefficient and the corresponding indentation depth, to obtain the processing modification coefficient, the corresponding indentation depth, and the corresponding dwell time distribution of the component to be processed; The constructing a mapping relationship between the indentation depth of a magnetorheological finishing polishing wheel and the modification ability corresponding to the indentation depth according to the indentation depth and the removal function includes: ; ; ; Among them, The axis is the axial direction of the magnetorheological machining polishing wheel, The axis is the tangent direction at the lowest point of the magnetorheological machining polishing wheel, The axis is the normal direction at the lowest point of the magnetorheological machining polishing wheel, is the radius of the magnetorheological machining polishing wheel, is the thickness of the magnetorheological fluid ribbon at the lowest point of the magnetorheological machining polishing wheel, is the indentation depth at the lowest point of the magnetorheological machining polishing wheel, is the surface shape equation of the component to be machined, is the intensity of the removal function, is the removal function of the two-dimensional Fourier transform, represents the modification ability of the removal function.

2. The variable-pressure deep magnetic rheological processing method according to claim 1, wherein, The formula for decomposing the initial residual error according to the initial modification coefficient to obtain at least two sub-residual error distributions includes: ; ; Among them, is the initial residual error of the current magnetorheological machining point, is the initial modification coefficient.

3. The variable-pressure deep magnetic rheological processing method according to claim 2, wherein The constructing a mapping relationship between the indentation depth of a magnetorheological finishing polishing wheel and the modification ability corresponding to the indentation depth includes: Defining the indentation depth of the magnetorheological finishing polishing wheel; Obtaining the removal function corresponding to the indentation depth of the magnetorheological finishing polishing wheel; According to the indentation depth and the removal function, constructing a mapping relationship between the indentation depth of the magnetorheological finishing polishing wheel and the modification ability corresponding to the indentation depth.

4. The variable-pressure deep magnetic rheological processing method according to claim 2, wherein The iteration includes: Performing a processing simulation on the sub-residual error distribution according to the modification coefficient and the corresponding indentation depth in the iteration process to obtain a simulation processing result; Calculating the root mean square of the sub-residual error distribution according to the simulation processing result, and establishing an adaptability function of the sub-residual error distribution.

5. The variable-pressure deep magnetic rheological processing method according to claim 2, characterized in that The formula for calculating the corresponding dwell time distribution according to the processing modification coefficient and the corresponding indentation depth includes: ; ; Among them, is the residual error of the current magnetorheological machining point, and are integration variables, is the removal function of the current magnetorheological machining point, is the dwell time of the current magnetorheological machining point.

6. The variable pressure deep magnetic rheological processing method according to claim 4, characterized in that, The iteration condition includes: based on the adaptability function of the sub-residual error distribution, the root mean square satisfies a preset range.

7. A variable-pressure deep magnetic rheological processing system, characterized in that, The system includes: An acquisition module, configured to obtain an initial residual error of a component to be processed, and randomly generate an initial modification coefficient of the component to be processed; A decomposition module, configured to decompose the initial residual error according to the initial modification coefficient to obtain at least two sub-residual error distributions, and there are differences in the spatial characteristics of any two sub-residual error distributions; A construction module, configured to construct a mapping relationship between the indentation depth of a magnetorheological finishing polishing wheel and the modification ability corresponding to the indentation depth, where the magnetorheological finishing polishing wheel is used to process the component to be processed; An iteration module, configured to, based on the mapping relationship, match each sub-residual error distribution with the indentation depth of the magnetorheological finishing polishing wheel, and perform iterative cycles until the iteration condition is met, to obtain a processing modification coefficient and the corresponding indentation depth; A calculation module, configured to calculate a corresponding dwell time distribution according to the machining modification coefficient and the corresponding indentation depth, so as to obtain the machining modification coefficient, the corresponding indentation depth and the corresponding dwell time distribution of the element to be machined; The method for constructing a mapping relationship between the indentation depth of a magnetorheological machining polishing wheel and the modification ability corresponding to the indentation depth according to the indentation depth and the removal function includes: ; ; ; Among them, The axis is the axial direction of the magnetorheological finishing polishing wheel, The axis is the tangential direction at the lowest point of the magnetorheological finishing polishing wheel, The axis is the normal direction at the lowest point of the magnetorheological finishing polishing wheel, is the radius of the magnetorheological finishing polishing wheel, is the thickness of the magnetorheological fluid ribbon at the lowest point of the magnetorheological finishing polishing wheel, is the indentation depth at the lowest point of the magnetorheological finishing polishing wheel, is the surface shape equation of the component to be machined, is the intensity of the removal function, is the removal function The two-dimensional Fourier transform of, represents the modification ability of the removal function.

8. An electronic device, characterized in that: Comprising at least one control processor and a memory for communicatively connecting with the at least one control processor; the memory stores instructions executable by the at least one control processor, and the instructions are executed by the at least one control processor, so that the at least one control processor can execute a variable indentation depth magnetorheological machining method according to any one of claims 1 to 6.

9. A computer-readable storage medium, characterized in that: The computer-readable storage medium stores computer-executable instructions for causing a computer to execute a variable indentation depth magnetorheological machining method according to any one of claims 1 to 6.

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