Hydrostatic guide rail error modeling method, device and equipment and storage medium

Abstract

The invention relates to the technical field of guide rail design, and provides a hydrostatic guide rail error modeling method, device and equipment and a storage medium, and the method comprises the steps: analyzing the structure of a hydrostatic guide rail, and determining junction surfaces affecting the assembly precision in the assembly process, and an error transmission path between the junction surfaces; constructing an error variation range model of an actual processing surface and a corresponding ideal surface in each joint surface; and based on the error transfer model of the single junction surface, according to the error transfer path and the error variation range model, constructing an assembly error transfer model of the hydrostatic guide rail. By analyzing an error transfer path of a guide rail joint surface, constructing an assembly error transfer model, describing a geometric error accumulation process of a hydrostatic guide rail in an assembly process and analyzing an influence mechanism of guide rail geometric errors on machining precision, theoretical guidance is provided for design of the guide rail and optimization of an assembly process, blindness of the assembly process is reduced, and the machining precision of the hydrostatic guide rail is improved. And the consistent performance of the assembled parts can meet the requirements.

Description

Technical Field

[0001] The present invention relates to the technical field of guide rail design, and in particular to a method, device, equipment and storage medium for modeling liquid hydrostatic guide rail errors. Background Art

[0002] The process of parts from components to products is completed through assembly technology. The processing errors of parts during the assembly process and the assembly errors caused by the connection method are accumulated during the assembly process, and finally reflected in the precision performance of the product, becoming an important factor affecting product quality. In the assembly process of the hydrostatic guide rail, affected by the manufacturing error of the guide rail itself, the error of the guide rail installation base surface and the actual structural constraints, in the absence of theoretical guidance for the design optimization of the guide rail, the assembly process of the guide rail is very blind, and the consistency of the assembled parts is difficult to meet the requirements. Summary of the invention

[0003] The present invention provides a liquid hydrostatic guide error modeling method, device, equipment and storage medium, which are used to establish an error transfer model of the liquid hydrostatic guide to guide the design of the liquid hydrostatic guide, so as to solve the problem that the design optimization of the guide in the prior art lacks theoretical guidance, resulting in a great blindness in the assembly process and the consistency of the assembled parts is difficult to meet the requirements.

[0004] The present invention provides a liquid hydrostatic guide rail error modeling method, comprising the following steps.

[0005] Analyze the structure of the hydrostatic guide rail, determine the joint surfaces that affect the assembly accuracy during the assembly process, and the error transmission paths between the joint surfaces; Constructing an error variation range model between the actual machined surface and the corresponding ideal surface in each of the combined surfaces; Based on the error transmission model of a single joint surface, an assembly error transmission model of the liquid hydrostatic guide rail is constructed according to the error transmission path and the error variation range model.

[0006] According to the method for modeling the error of a hydrostatic guideway provided by the present invention, the error variation range model between each of the joint surfaces and the corresponding ideal surface is constructed, including: Based on the spatial positions of the actual machined surface and the corresponding ideal surface in each of the combined surfaces, determining the spatial correspondence between the actual machined surface and the corresponding ideal surface; the spatial correspondence is characterized by a spatial position conversion matrix of the actual machined surface relative to the ideal surface, and the spatial correspondence is used to describe the geometric variation error of the combined surface; Based on the spatial correspondence, an error variation range inequality and a variation constraint inequality of the actual machined surface are established to obtain an error variation range model between the actual machined surface and the corresponding ideal surface in the combined surface.

[0007] According to the liquid hydrostatic guide error modeling method provided by the present invention, the spatial position conversion matrix is: ; in, , and Indicates the actual machined surface in the joint surface Relative to the corresponding ideal surface The spatial rotation component of , and Represents the actual machined surface Relative to the ideal surface The spatial translation component of The error variation range model is used to describe the error variation range of at least one of the spatial rotation component and the spatial translation component; the error variation range includes at least one of a dimensional tolerance, a shape tolerance, and a position tolerance; the shape tolerance includes a flatness tolerance, the position tolerance includes a parallelism tolerance, and the dimensional tolerance includes a lower dimensional tolerance deviation and an upper dimensional tolerance deviation; The error variation range inequality is: ; The change constraint inequality is: ; in, Indicates the parallelism tolerance, Indicates the flatness tolerance, Indicates the lower deviation of the dimensional tolerance. Indicates the upper deviation of the dimensional tolerance; and Respectively represent the length and width of the bonding surface, and Represents the coordinate value of the bonding surface.

[0008] According to the liquid hydrostatic guide error modeling method provided by the present invention, the error transmission model of the single joint surface is: ; in, represents the error transformation matrix from ideal surface A to ideal surface B, Represents the ideal surface A to the actual processing surface The error transformation matrix is Represents the actual machined surface To the actual processing surface The error transformation matrix is Represents the actual machined surface The error transformation matrix from θ to the ideal surface B.

[0009] According to the error modeling method of the hydrostatic guide provided by the present invention, the error transfer model based on the single joint surface, according to the error transfer path and the error variation range model, constructs the assembly error transfer model of the hydrostatic guide, including: According to the error transfer path, an error transfer expression corresponding to each of the combined surfaces is determined; the error transfer expression is used to characterize the error conversion relationship between the combined surfaces; The error transfer expression and the error variation range model are substituted into the error transfer model of a single joint surface to construct an assembly error transfer model of the liquid hydrostatic guide rail.

[0010] According to the liquid hydrostatic guide error modeling method provided by the present invention, the error transmission path includes multiple error transmission sub-paths; the error transmission expressions corresponding to each of the joint surfaces are determined according to the error transmission path, including: According to the error transfer path, determining a target expression of the error transfer subpath corresponding to each of the combined surfaces; A set operation is performed on the target expression of each of the error transfer sub-paths to obtain the error transfer expression corresponding to each of the combined surfaces.

[0011] According to the error modeling method of the hydrostatic guide provided by the present invention, after the error transfer model based on the single joint surface is constructed according to the error transfer path and the error variation range model, the method further comprises: Obtaining an error variation range corresponding to the processing requirements of the liquid hydrostatic guide rail; Substituting the error variation range into the assembly error transfer model to perform error calculation, so as to calculate the assembly geometric error of the hydrostatic guide rail under the processing requirements; The design parameters and assembly process of the liquid hydrostatic guide rail are optimized according to the assembly geometric error.

[0012] The present invention also provides a liquid hydrostatic guide rail error modeling device, comprising the following modules: A structural analysis module, used to analyze the structure of the hydrostatic guide rail, determine the joint surfaces that affect the assembly accuracy during the assembly process, and the error transmission paths between the joint surfaces; A first construction module is used to construct an error variation range model between the actual machined surface and the corresponding ideal surface in each of the combined surfaces; The second construction module is used to construct an assembly error transfer model of the liquid hydrostatic guide based on the error transfer model of a single joint surface, according to the error transfer path and the error variation range model.

[0013] The present invention also provides an electronic device, comprising a memory, a processor, and a computer program stored in the memory and executable on the processor, wherein when the processor executes the computer program, the liquid hydrostatic guide rail error modeling method as described above is implemented.

[0014] The present invention also provides a non-transitory computer-readable storage medium having a computer program stored thereon, and when the computer program is executed by a processor, the liquid hydrostatic guide rail error modeling method as described in any one of the above is implemented.

[0015] The present invention also provides a computer program product, comprising a computer program, wherein when the computer program is executed by a processor, the computer program implements any of the above-mentioned methods for modeling the error of a liquid hydrostatic guide rail.

[0016] The liquid hydrostatic guide error modeling method, device, equipment and storage medium provided by the present invention analyze the structure of the liquid hydrostatic guide, determine the joint surfaces that affect the assembly accuracy of the liquid hydrostatic guide during the assembly process, and the error transmission paths between the joint surfaces, and construct an error variation range model between the actual machined surface and the corresponding ideal surface in each joint surface. Based on the error transmission model of a single joint surface, an assembly error transmission model of the liquid hydrostatic guide is constructed according to the constructed error variation range model and the error transmission paths between the joint surfaces. The model is used to describe the accumulation process of the geometric errors of the liquid hydrostatic guide during the assembly process, so as to deeply analyze the influence mechanism of the geometric errors of the liquid hydrostatic guide on the machining accuracy, provide theoretical guidance for the design of the liquid hydrostatic guide and the optimization of the assembly process, reduce the blindness in the assembly process of the liquid hydrostatic guide, and ensure that the consistency of the assembled parts can meet the requirements. BRIEF DESCRIPTION OF THE DRAWINGS

[0017] In order to more clearly illustrate the technical solutions in the present invention or the prior art, the following briefly introduces the drawings required for use in the embodiments or the description of the prior art. Obviously, the drawings described below are some embodiments of the present invention. For ordinary technicians in this field, other drawings can be obtained based on these drawings without paying creative work.

[0018] Figure 1 It is a flow chart of the liquid hydrostatic guide rail error modeling method provided by the present invention.

[0019] Figure 2It is a schematic diagram of the error transmission model of a single binding surface provided by the present invention.

[0020] Figure 3 It is a structural schematic diagram of the liquid hydrostatic guide rail provided by the present invention.

[0021] Figure 4 It is a schematic diagram of the error transmission path provided by the present invention.

[0022] Figure 5 It is a structural schematic diagram of the liquid hydrostatic guide rail error modeling device provided by the present invention.

[0023] Figure 6 It is a structural schematic diagram of the electronic device provided by the present invention. DETAILED DESCRIPTION

[0024] In order to make the purpose, technical solution and advantages of the present invention clearer, the technical solution of the present invention will be clearly and completely described below in conjunction with the drawings of the present invention. Obviously, the described embodiments are part of the embodiments of the present invention, not all of the embodiments. Based on the embodiments of the present invention, all other embodiments obtained by ordinary technicians in this field without creative work are within the scope of protection of the present invention.

[0025] An embodiment of the present invention provides a liquid hydrostatic guide rail error modeling method, which aims to establish a mathematical model of geometric error transmission during the guide rail assembly process based on the structure of the liquid hydrostatic guide rail, so that the corresponding assembly error can be calculated according to the processing requirements of the liquid hydrostatic guide rail, which is used to guide the design of the liquid hydrostatic guide rail and the optimization of the assembly process, thereby reducing the manufacturing and assembly costs while ensuring the comprehensive accuracy of the guide rail.

[0026] Specifically, Figure 1 FIG. 1 is a flow chart of the method for modeling the error of a liquid hydrostatic guideway provided by the present invention, such as Figure 1 As shown, the method comprises the following steps: Step 100, analyzing the structure of the hydrostatic guide rail, determining the joint surfaces that affect the assembly accuracy during the assembly process, and the error transmission paths between the joint surfaces; Step 200, constructing an error variation range model between the actual machined surface and the corresponding ideal surface in each of the combined surfaces; Step 300 , based on the error transfer model of a single joint surface, according to the error transfer path and the error variation range model, construct an assembly error transfer model of the hydrostatic guide rail.

[0027] When establishing the geometric error model of the liquid hydrostatic guide, the structure of the liquid hydrostatic guide is first analyzed to determine the joint surfaces that affect the assembly accuracy during the assembly process and the error transmission paths between the joint surfaces.

[0028] Optionally, the error transmission path is determined according to the operation sequence of each joint surface during the assembly process, and the error transmission path characterizes the assembly process of the liquid hydrostatic guide rail to the parts to a certain extent.

[0029] The joint surface refers to the surface where two or more parts are connected and matched with each other. In the hydrostatic guide, the joint surface can be the structural surface supported by the pressure oil film, that is, the oil film joint surface of the guide plate. The main function of the joint surface is to ensure the close connection and fit between the parts to transmit force and motion. In the hydrostatic guide, the accuracy of the joint surface has an important influence on the geometric error of the guide.

[0030] Furthermore, the joint surface may include a contact surface, which generally refers to the surface in direct contact between two objects. In a hydrostatic guide, the contact surface may refer to the surface of the guide surface in direct contact with the hydraulic oil. The main function of the contact surface is to carry loads and transmit force and motion. The contact surface achieves smooth movement and high-precision positioning of the guide through the action of hydraulic oil. The accuracy of the contact surface directly affects the motion accuracy and stability of the guide, thereby affecting the geometric error of the assembly.

[0031] The contact surface and the mating surface both play an important role in the hydrostatic guide, and their definitions, positions and functions are different. Specifically, the contact surface focuses on the direct contact part between the guide surface and the hydraulic oil, while the mating surface focuses more on the connection and matching of the structural surface supported by the guide plate oil film. Both of them affect the performance and accuracy of the hydrostatic guide, thus determining the geometric error in the assembly process.

[0032] When modeling the error of the hydrostatic guide, the main joint surfaces that affect the assembly accuracy during the assembly process of the guide are analyzed according to the structure of the hydrostatic guide. Then, the error variation range model between the actual machined surface and the corresponding ideal surface in each joint surface is constructed.

[0033] Optionally, the combination surface refers to a combination of at least two actual machined surfaces, and each actual machined surface in the combination surface corresponds to an ideal surface, which is used to characterize an ideal position of the actual machined surface when there is no geometric error during the assembly process.

[0034] Furthermore, based on the error transfer model of a single joint surface, an assembly error transfer model of a liquid hydrostatic guideway is constructed according to the error transfer path and error variation range model.

[0035] Optionally, the assembly error transfer model is a mathematical model that can describe the geometric error of the liquid hydrostatic guideway. Through this mathematical model, the influence mechanism of the geometric error of the liquid hydrostatic guideway on the processing accuracy can be deeply analyzed, thereby providing a reference basis for the design of the guideway and the optimization of the assembly process.

[0036] Among them, the error variation range model of the actual machined surface in the joint surface and its corresponding ideal surface characterizes the error variation range of the actual machined surface in the joint surface under the corresponding processing requirements. The error transfer model of a single joint surface characterizes the error transfer process from any actual machined surface in the joint surface to another actual machined surface. Based on the error transfer model of a single joint surface, the error transfer from any joint surface to another joint surface can be further determined. Therefore, according to the error transfer process between the joint surfaces represented by the error transfer path, the error transfer process in the whole assembly process of the hydrostatic guide can be constructed, and then the assembly error transfer model of the hydrostatic guide can be obtained.

[0037] In this embodiment, by analyzing the structure of the liquid hydrostatic guide rail, the joint surfaces that affect the assembly accuracy during the assembly process and the error transmission paths between the joint surfaces are determined, and an error variation range model between the actual machined surface and the corresponding ideal surface in each joint surface is constructed. Based on the error transmission model of a single joint surface, an assembly error transmission model of the liquid hydrostatic guide rail is constructed according to the constructed error variation range model and the error transmission paths between the joint surfaces. The model is used to describe the accumulation process of the geometric errors of the liquid hydrostatic guide rail during the assembly process, so as to deeply analyze the influence mechanism of the geometric errors of the liquid hydrostatic guide rail on the machining accuracy, provide theoretical guidance for the design of the liquid hydrostatic guide rail and the optimization of the assembly process, reduce the blindness in the assembly process of the liquid hydrostatic guide rail, and make the consistency of the assembled parts meet the requirements.

[0038] In one embodiment, the error variation range model between the actual machined surface and the corresponding ideal surface in each joint surface includes the spatial position correspondence between the actual machined surface and the ideal surface, the error variation range inequality and the variation constraint inequality. Step 200 may also include: Step 201, based on the spatial positions of the actual machined surface and the corresponding ideal surface in each of the combined surfaces, determining the spatial correspondence between the actual machined surface and the corresponding ideal surface; the spatial correspondence is characterized by a spatial position conversion matrix of the actual machined surface relative to the ideal surface, and the spatial correspondence is used to describe the geometric variation error of the combined surface; Step 202: Based on the spatial correspondence, an error variation range inequality and a variation constraint inequality of each of the actual machined surfaces are established to obtain an error variation range model between the actual machined surface and the corresponding ideal surface in the combined surface.

[0039] Firstly, based on the spatial position of the actual machined surface and its corresponding ideal surface in each bonding surface, the spatial correspondence between the actual machined surface and the corresponding ideal surface in the bonding surface is determined. The spatial correspondence is characterized by the spatial position transformation matrix of the actual machined surface relative to its corresponding ideal surface. The spatial correspondence between the actual machined surface and its corresponding ideal surface is used to describe the geometric variation error of the bonding surface.

[0040] Then, based on the spatial correspondence between the actual machined surface and its ideal surface, the error variation range inequality and variation constraint inequality of each actual machined surface are established to obtain the error variation range model of the actual machined surface and its corresponding ideal surface.

[0041] Optionally, the bonding surface has a corresponding relationship with the ideal surface, or each actual machined surface in the bonding surface has a corresponding relationship with the ideal surface, and the corresponding relationship may be a one-to-one corresponding relationship, that is, any bonding surface has at least one ideal surface corresponding thereto, or any actual machined surface corresponding to a bonding surface has one ideal surface corresponding thereto. The spatial position relationship between the bonding surface and its corresponding ideal surface is used to characterize the corresponding relationship between the actual position of the actual machined surface in the bonding surface and its ideal position.

[0042] The spatial correspondence between the actual machined surface and the corresponding ideal surface in the combined surface is characterized by a spatial position transformation matrix, and the spatial position transformation matrix can be a homogeneous coordinate matrix, as shown in the following formula 1: ; (1) In formula 1, , and Indicates the actual machined surface of the joint surface Relative to its corresponding ideal surface The spatial rotation component of , and Indicates the actual machined surface Relative to the ideal surface The spatial translation component of. The joint surface is any one of the joint surfaces that affect the assembly accuracy during the assembly process of the hydrostatic guide. , , , , and They represent the rotation and translation components of the actual machined surface and its corresponding ideal surface in any combination surface, respectively, and are used to describe the small geometric variation errors of the actual machined surface in each combination surface. , , , , and is the error component of the geometric variation of the actual machined surface relative to its corresponding ideal surface, so, , , , , and It can also be called the error component of the bonding surface.

[0043] Optionally, the spatial translation component is used to describe the translation direction and translation amount of the joint surface in space. In three-dimensional space, it is described in the form of a coordinate system. The translation direction of the joint surface includes three directions: translation along the x-axis, translation along the y-axis, and translation along the z-axis. , and They represent the translational components of the bonding surface relative to its corresponding ideal surface on the x-axis, y-axis, and z-axis. Similarly, the spatial rotational component is used to describe the rotation direction and amount of the bonding surface in space. , and They represent the rotation components of the bonding surface relative to its corresponding ideal surface on the x-axis, y-axis and z-axis respectively.

[0044] Furthermore, the error variation range model describes the error variation range of at least one of the spatial rotation component and the spatial translation component in the spatial position transformation matrix based on the spatial position correspondence between the actual machined surface and its corresponding ideal surface in the combined surface. Specifically, the error variation range inequality is used to describe the variation range of the error component, and the variation constraint inequality is used to describe the variation constraint condition of the error component.

[0045] Optionally, the error variation range includes at least one of dimensional tolerance, shape tolerance and position tolerance, and the shape tolerance includes flatness tolerance, the position tolerance includes parallelism tolerance, and the dimensional tolerance includes a lower deviation of the dimensional tolerance and an upper deviation of the dimensional tolerance.

[0046] Among them, parallelism tolerance refers to the maximum allowable deviation of the parallelism of the measured straight line or plane relative to the reference straight line or reference plane, which is used to control the parallel state between two elements in a part (such as two straight lines, two planes, or a line and a plane). The parallelism tolerance zone is the area between two parallel planes with a distance equal to the tolerance value and parallel to the reference straight line or reference plane.

[0047] Flatness tolerance refers to the variation of the actual plane relative to its ideal plane, that is, the maximum deviation of the actual plane from its reference plane in each error component, which is used to control the flatness of the part surface (usually a large continuous surface, such as a plate, workbench, etc.). The flatness tolerance zone is the area between two parallel planes with a distance of the tolerance value, both of which are perpendicular to the reference plane.

[0048] Dimensional tolerance refers to the maximum allowable variation in part size, and lower deviation is a part of it. Specifically, lower deviation refers to the algebraic difference between the minimum limit size and the basic size. It is the deviation of the negative part of the dimensional tolerance, indicating that the actual size of the part is smaller than the maximum allowable deviation of the basic size.

[0049] Correspondingly, the upper deviation of dimensional tolerance refers to the algebraic difference obtained by subtracting the basic size from the maximum limit size. It is the deviation of the positive part of the dimensional tolerance, indicating that the actual size of the part is larger than the maximum allowable deviation of the basic size.

[0050] The error variation range inequality constructed is: ; (2) Furthermore, the change constraint inequality is: ; (3) In formulas 2 and 3, Represents parallelism tolerance, Indicates flatness tolerance, Indicates the lower deviation of the dimensional tolerance. Indicates the upper deviation of dimensional tolerance; and Respectively represent the length and width of the joint surface, and Indicates the coordinate value of the bonding surface.

[0051] Formula 2 is used to describe the error variation range of the joint surface during operation, and Formula 3 is used to describe the constraints that the coordinate values ​​of the joint surface should satisfy during operation. Formulas 1 to 3 describe the mathematical relationship between the actual machined surface of the joint surface and its corresponding ideal surface, which is the error variation range model of the actual machined surface of the joint surface relative to its corresponding ideal surface, that is, the error variation range model of the actual machined surface and its corresponding ideal surface, which is used to express the mathematical relationship between the actual machined surface and its corresponding ideal surface, and describes the error variation range of the actual machined surface in the joint surface relative to its corresponding ideal surface.

[0052] Alternatively, the error transmission model for a single interface is: ; (4) in, represents the error transformation matrix from ideal surface A to ideal surface B, Represents the ideal surface A to the actual processing surface The error transformation matrix is Indicates the actual machined surface To the actual processing surface The error transformation matrix is Indicates the actual machined surface The error conversion matrix from the ideal surface B to the ideal surface B; the error transfer model Describes the actual machined surface The actual machining surface The error transmission process of the corresponding bonding surface AB, the bonding surface AB is any one of the bonding surfaces that affect the assembly accuracy during the assembly process.

[0053] In one embodiment, referring to Figure 2 The error transmission model diagram of a single bonding surface is shown in Figure 2 In the example, the error transfer model between assembly plane A and assembly plane B is given, which involves the actual reference assembly plane (i.e. actual assembly joint surface), ideal assembly plane B, actual assembly plane As well as the ideal reference assembly plane A, the actual reference assembly plane , ideal assembly plane B, actual assembly plane And the ideal reference assembly plane A is located in different coordinate systems respectively.

[0054] Based on Formula 4, the actual reference assembly plane is determined To the actual assembly plane When the geometric variation error between To the actual assembly plane The change process is transformed based on the error conversion between the actual assembly plane and the ideal reference assembly plane, and between the actual assembly planes, so as to realize the description of the error transmission process of the joint surface and clarify the error accumulation process.

[0055] In this process, firstly assemble the plane according to the actual reference The error conversion matrix between the ideal reference assembly plane A and the actual reference assembly plane is converted into the error conversion matrix between the ideal reference assembly plane A and the actual reference assembly plane coordinate system; then assemble the plane according to the actual reference To the actual assembly plane The error conversion matrix between the actual reference assembly plane Convert to actual assembly plane The actual reference assembly plane can be determined in the coordinate system of To the actual assembly plane , relative to the ideal reference assembly plane A to the actual assembly plane Variation error; finally, according to the actual assembly plane To the ideal assembly plane B error conversion matrix, the actual assembly plane Convert to the coordinate system of the ideal assembly plane B, so that the actual reference assembly plane The error is converted to the coordinate system of the ideal assembly plane B to obtain the actual reference assembly plane To the ideal reference assembly plane A, relative to the variation error from the ideal reference assembly plane A to the ideal assembly plane B.

[0056] Based on this, step 300 may also include: Step 301, determining an error transfer expression corresponding to each of the combined surfaces according to the error transfer path; the error transfer expression is used to characterize the error conversion relationship between the combined surfaces; Step 302: Substitute the error transfer expression and the error variation range model into the error transfer model of a single joint surface to construct an assembly error transfer model of the hydrostatic guideway.

[0057] According to the error transfer path, the error transfer expression corresponding to each joint surface is determined, and the error transfer expression is used to characterize the error conversion relationship between each joint surface. Then, the error transfer package master and the constructed error variation range model are substituted into the error transfer model of the single joint surface to construct the assembly error transfer model of the liquid decompression guide rail.

[0058] Optionally, the error transfer expression corresponding to each joint surface is a mathematical model that describes the assembly error transfer process of the joint surface.

[0059] Furthermore, the error transfer path corresponding to each bonding surface includes a plurality of error transfer sub-paths. Based on this, step 301 may further include: Step 311, determining a target expression of an error transfer subpath corresponding to each of the combined surfaces according to the error transfer path; Step 312, performing set operations on the target expressions of the error transfer sub-paths to obtain the error transfer expressions corresponding to the combined surfaces.

[0060] According to the error transfer paths of each combined surface, the target expression of each error transfer subpath in the error transfer path is first determined, and then the target expression of each error transfer subpath is set and operated to obtain the error transfer expression corresponding to each combined surface.

[0061] In one embodiment, referring to Figure 3 The structure of the liquid hydrostatic guide rail is shown. The structure of the liquid hydrostatic guide rail is analyzed to determine that there are a total of 7 parts (P1-P7) that affect the assembly accuracy during the assembly process, including P1-guide rail, P2-left slider, P3-right slider, P4-left pressure plate, P5-right pressure plate, P6-lateral slider and P7-slide plate. There are a total of 11 joint surfaces between the 7 parts P1-P7, represented by F1-F11.

[0062] The error transmission path of the joint surface F1-F11 is as follows Figure 4 As shown, in Figure 4 In , three error propagation sub-paths of the error propagation path are given as examples, which can be expressed as: 1: 1.9-1.0-(1.1-2.1) / (1.2-4.1-4.0-4.2-2.3)-2.0-2.2-7.1-7.0-7.9; II: 1.9-1.0-(1.2-4.1-4.0-4.3-6.1) / (1.3-5.1-5.0-5.3-6.2)-6.0-6.3-7.2-7.0-7.9; 3:1.9-1.0-(1.4-3.1) / (1.3-5.1-5.0-5.2-3.2)-3.0-3.3-7.3-7.0-7.9.

[0063] exist Figure 4 In the figure, 1.4-1.4 indicates the assembly surface of the guide rail of part P1; 2.0-2.3 indicates the assembly surface of the left slider of part P2; 3.0-3.3 indicates the assembly surface of the right slider of part P3; 4.0-4.3 indicates the assembly surface of the left pressure plate of part P4; 5.0-5.3 indicates the assembly surface of the right pressure plate of part P5; 6.0-6.3 indicates the assembly surface of the lateral slider of part P6; 7.0-7.3 indicates the assembly surface of the slide of part P7. And, Figure 4 Specifically, the assembly surfaces of the components involved in the 11 joint surfaces are given. The target expressions corresponding to the above three error transfer subpaths can be expressed by the following formula 5: ; (5) In formula 5, , and Represent the three error transmission paths respectively, represents the error conversion matrix between assembly plane 1.1 and assembly plane 1.0, , , , , , , , , , , as well as The meaning of They are basically the same and will not be elaborated here.

[0064] By performing set operations on the target expressions of each error transfer subpath, the error transfer expressions corresponding to each joint surface of the hydrostatic guideway can be obtained. The specific set operation method is shown in the following formula 6: ; (6) Under the variation constraint of Formula 3, the error variation range inequality shown in Formula 2 and the error transfer expression shown in Formula 6 are substituted into the error transfer model of the single joint surface given by Formula 4. According to the error transfer order described by the error transfer expression of Formula 6, the mathematical expressions of the error transfer of the corresponding joint surfaces are calculated in sequence, and the assembly error transfer model of the liquid hydrostatic guide can be obtained.

[0065] Furthermore, after constructing the assembly error transfer model of the liquid hydrostatic guide, the design and assembly process optimization of the liquid hydrostatic guide can be guided according to the constructed assembly error transfer model. Specifically, after step 300, the following steps may be further included: Step 401, obtaining the error variation range corresponding to the processing requirements of the hydrostatic guide rail; Step 402, substituting the error variation range into the assembly error transfer model to perform error calculation, so as to calculate the assembly geometric error of the hydrostatic guide rail under the processing requirements; Step 403: Optimize the design parameters and assembly process of the hydrostatic guide rail according to the assembly geometric error.

[0066] The error variation range corresponding to the processing requirements of the liquid step-down guide rail is obtained, and the error variation range is substituted into the constructed assembly error transfer model for error calculation, so as to determine the assembly geometric error of the liquid hydrostatic guide rail under the processing requirements. According to the assembly geometric error, the design parameters and assembly process of the liquid hydrostatic guide rail are optimized.

[0067] Among them, the error variation range corresponding to the processing requirements includes the processing requirements of the part surfaces involved in each joint surface. The part surface processing requirements are substituted into the assembly error transfer model for calculation to obtain the error range of the comprehensive motion accuracy. The part surface processing requirements are adjusted according to the calculation results. Under the premise of ensuring the comprehensive motion accuracy, the design parameters and assembly process of the guide rail structure are optimized.

[0068] In this embodiment, with the structural form and processing requirements of the liquid hydrostatic guide rail clarified, the error transfer model of a single joint surface is constructed by calculating the homogeneous coordinate matrix of a single part surface, and the assembly error transfer model of the guide rail joint surface group is calculated by analyzing the transmission path of the assembly error. The processing requirements are substituted into the assembly error transfer model, and the comprehensive operating accuracy error of the guide rail is calculated, which provides theoretical guidance for the design and assembly process of the guide rail structure, is beneficial to the optimization of the guide rail structure design parameters and assembly process, and reduces the production cost at the same time.

[0069] The liquid hydrostatic guide rail error modeling device provided by the present invention is described below. The liquid hydrostatic guide rail error modeling device described below and the liquid hydrostatic guide rail error modeling method described above can be referenced to each other.

[0070] Reference Figure 5 , the liquid hydrostatic guide rail error modeling device provided by the embodiment of the present invention comprises: The structural analysis module 10 is used to analyze the structure of the hydrostatic guide rail, determine the joint surfaces that affect the assembly accuracy during the assembly process, and the error transmission paths between the joint surfaces; A first construction module 20 is used to construct an error variation range model between the actual machined surface and the corresponding ideal surface in each of the combined surfaces; The second construction module 30 is used to construct the assembly error transfer model of the hydrostatic guide based on the error transfer model of the single joint surface, according to the error transfer path and the error variation range model.

[0071] In one embodiment, the first building module 20 is further used for: Based on the spatial positions of the actual machined surface and the corresponding ideal surface in each of the combined surfaces, determining the spatial correspondence between the actual machined surface and the corresponding ideal surface; the spatial correspondence is characterized by a spatial position conversion matrix of the actual machined surface relative to the ideal surface, and the spatial correspondence is used to describe the geometric variation error of the combined surface; Based on the spatial correspondence, an error variation range inequality and a variation constraint inequality of the actual machined surface corresponding to each of the combined surfaces are established to obtain an error variation range model between the actual machined surface and the corresponding ideal surface in the combined surface.

[0072] In one embodiment, the spatial position conversion matrix is: ; in, , and Indicates the actual machined surface in the joint surface Relative to the corresponding ideal surface The spatial rotation component of , and Represents the actual machined surface Relative to the ideal surface The spatial translation component of The error variation range model is used to describe the error variation range of at least one of the spatial rotation component and the spatial translation component; the error variation range includes at least one of a dimensional tolerance, a shape tolerance, and a position tolerance; the shape tolerance includes a flatness tolerance, the position tolerance includes a parallelism tolerance, and the dimensional tolerance includes a lower dimensional tolerance deviation and an upper dimensional tolerance deviation; The error variation range inequality is: ; The change constraint inequality is: ; in, Indicates the parallelism tolerance, Indicates the flatness tolerance, Indicates the lower deviation of the dimensional tolerance. Indicates the upper deviation of the dimensional tolerance; and Respectively represent the length and width of the bonding surface, and Represents the coordinate value of the bonding surface.

[0073] In one embodiment, the error transmission model of the single binding surface is: ; in, represents the error transformation matrix from ideal surface A to ideal surface B, Represents the ideal surface A to the actual processing surface The error transformation matrix is Represents the actual machined surface To the actual processing surface The error transformation matrix is Represents the actual machined surface The error transformation matrix from θ to the ideal surface B.

[0074] In one embodiment, the second building module 30 is further used for: According to the error transfer path, an error transfer expression corresponding to each of the combined surfaces is determined; the error transfer expression is used to characterize the error conversion relationship between the combined surfaces; The error transfer expression and the error variation range model are substituted into the error transfer model of a single joint surface to construct an assembly error transfer model of the liquid hydrostatic guide rail.

[0075] In one embodiment, the error transmission path includes a plurality of error transmission sub-paths; the second building module 30 is further used for: According to the error transfer path, determining a target expression of the error transfer subpath corresponding to each of the combined surfaces; A set operation is performed on the target expression of each of the error transfer sub-paths to obtain the error transfer expression corresponding to each of the combined surfaces.

[0076] In one embodiment, the hydrostatic guide error modeling device further includes an optimization module for: Obtaining an error variation range corresponding to the processing requirements of the liquid hydrostatic guide rail; Substituting the error variation range into the assembly error transfer model to perform error calculation, so as to calculate the assembly geometric error of the hydrostatic guide rail under the processing requirements; The design parameters and assembly process of the liquid hydrostatic guide rail are optimized according to the assembly geometric error.

[0077] Figure 6 An example of a physical structure diagram of an electronic device is shown in FIG. Figure 6 As shown, the electronic device may include: a processor 610, a communications interface 620, a memory 630 and a communication bus 640, wherein the processor 610, the communications interface 620 and the memory 630 communicate with each other through the communication bus 640. The processor 610 may call the logic instructions in the memory 630 to execute the steps of the liquid hydrostatic guide error modeling method, for example including: Analyze the structure of the hydrostatic guide rail, determine the joint surfaces that affect the assembly accuracy during the assembly process, and the error transmission paths between the joint surfaces; Constructing an error variation range model between the actual machined surface and the corresponding ideal surface in each of the combined surfaces; Based on the error transmission model of a single joint surface, an assembly error transmission model of the liquid hydrostatic guide rail is constructed according to the error transmission path and the error variation range model.

[0078] In addition, the logic instructions in the above-mentioned memory 630 can be implemented in the form of a software functional unit and can be stored in a computer-readable storage medium when it is sold or used as an independent product. Based on such an understanding, the technical solution of the present invention, in essence, or the part that contributes to the prior art or the part of the technical solution, can be embodied in the form of a software product, and the computer software product is stored in a storage medium, including a number of instructions for a computer device (which can be a personal computer, a server, or a network device, etc.) to perform all or part of the steps of the method described in each embodiment of the present invention. The aforementioned storage medium includes: U disk, mobile hard disk, read-only memory (ROM, Read-Only Memory), random access memory (RAM, Random Access Memory), disk or optical disk, etc. Various media that can store program codes.

[0079] On the other hand, the present invention further provides a computer program product, the computer program product comprising a computer program, the computer program can be stored on a non-transitory computer-readable storage medium, and when the computer program is executed by a processor, the computer can execute the steps of the liquid hydrostatic guideway error modeling method provided by the above methods, for example, including: Analyze the structure of the hydrostatic guide rail, determine the joint surfaces that affect the assembly accuracy during the assembly process, and the error transmission paths between the joint surfaces; Constructing an error variation range model between the actual machined surface and the corresponding ideal surface in each of the combined surfaces; Based on the error transmission model of a single joint surface, an assembly error transmission model of the liquid hydrostatic guide rail is constructed according to the error transmission path and the error variation range model.

[0080] In another aspect, the present invention further provides a non-transitory computer-readable storage medium having a computer program stored thereon, which, when executed by a processor, implements the steps of the liquid hydrostatic guideway error modeling method provided by the above methods, for example, including: Analyze the structure of the hydrostatic guide rail, determine the joint surfaces that affect the assembly accuracy during the assembly process, and the error transmission paths between the joint surfaces; Constructing an error variation range model between the actual machined surface and the corresponding ideal surface in each of the combined surfaces; Based on the error transmission model of a single joint surface, an assembly error transmission model of the liquid hydrostatic guide rail is constructed according to the error transmission path and the error variation range model.

[0081] The device embodiments described above are merely illustrative, wherein the units described as separate components may or may not be physically separated, and the components displayed as units may or may not be physical units, that is, they may be located in one place, or they may be distributed on multiple network units. Some or all of the modules may be selected according to actual needs to achieve the purpose of the scheme of this embodiment. Ordinary technicians in this field can understand and implement it without paying creative labor.

[0082] Through the description of the above implementation methods, those skilled in the art can clearly understand that each implementation method can be implemented by means of software plus a necessary general hardware platform, and of course, can also be implemented by hardware. Based on this understanding, the above technical solution is essentially or the part that contributes to the prior art can be embodied in the form of a software product, and the computer software product can be stored in a computer-readable storage medium, such as ROM / RAM, a disk, an optical disk, etc., including a number of instructions for a computer device (which can be a personal computer, a server, or a network device, etc.) to execute the methods described in each embodiment or some parts of the embodiments.

[0083] Finally, it should be noted that the above embodiments are only used to illustrate the technical solutions of the present invention, rather than to limit it. Although the present invention has been described in detail with reference to the aforementioned embodiments, those skilled in the art should understand that they can still modify the technical solutions described in the aforementioned embodiments, or make equivalent replacements for some of the technical features therein. However, these modifications or replacements do not deviate the essence of the corresponding technical solutions from the spirit and scope of the technical solutions of the embodiments of the present invention.

Claims

1. A method for modeling a liquid hydrostatic guide error, characterized in that: include: Analyze the structure of the hydrostatic guide rail, determine the joint surfaces that affect the assembly accuracy during the assembly process, and the error transmission paths between the joint surfaces; Constructing an error variation range model between the actual machined surface and the corresponding ideal surface in each of the combined surfaces; Based on the error transmission model of a single joint surface, an assembly error transmission model of the liquid hydrostatic guide rail is constructed according to the error transmission path and the error variation range model.

2. The method for modeling the error of a hydrostatic guideway according to claim 1, characterized in that: The step of constructing the error variation range model between the actual machined surface and the corresponding ideal surface in each of the combined surfaces comprises: Based on the spatial positions of the actual machined surface and the corresponding ideal surface in each of the combined surfaces, determining the spatial correspondence between the actual machined surface and the corresponding ideal surface; the spatial correspondence is characterized by a spatial position conversion matrix of the actual machined surface relative to the ideal surface, and the spatial correspondence is used to describe the geometric variation error of the combined surface; Based on the spatial correspondence, an error variation range inequality and a variation constraint inequality of the actual machined surface are established to obtain an error variation range model between the actual machined surface and the corresponding ideal surface in the combined surface.

3. The method for modeling the error of a hydrostatic guideway according to claim 2, characterized in that: The spatial position conversion matrix is: ； in, , and Indicates the actual machined surface in the joint surface Relative to the corresponding ideal surface The spatial rotation component of , and Represents the actual machined surface Relative to the ideal surface The spatial translation component of The error variation range model is used to describe the error variation range of at least one of the spatial rotation component and the spatial translation component; the error variation range includes at least one of a dimensional tolerance, a shape tolerance, and a position tolerance; the shape tolerance includes a flatness tolerance, the position tolerance includes a parallelism tolerance, and the dimensional tolerance includes a lower dimensional tolerance deviation and an upper dimensional tolerance deviation; The error variation range inequality is: ； The change constraint inequality is: ； in, Indicates the parallelism tolerance, Indicates the flatness tolerance, Indicates the lower deviation of the dimensional tolerance. Indicates the upper deviation of the dimensional tolerance; and Respectively represent the length and width of the bonding surface, and Represents the coordinate value of the bonding surface.

4. The method for modeling the error of a hydrostatic guideway according to claim 1, characterized in that: The error transmission model of the single binding surface is: ； in, represents the error transformation matrix from ideal surface A to ideal surface B, Represents the ideal surface A to the actual processing surface The error transformation matrix is Represents the actual machined surface To the actual processing surface The error transformation matrix is Represents the actual machined surface The error transformation matrix from θ to the ideal surface B.

5. The method for modeling the error of a hydrostatic guideway according to claim 1, characterized in that: The error transfer model based on the single joint surface is used to construct the assembly error transfer model of the liquid hydrostatic guide according to the error transfer path and the error variation range model, including: According to the error transfer path, an error transfer expression corresponding to each of the combined surfaces is determined; the error transfer expression is used to characterize the error conversion relationship between the combined surfaces; The error transfer expression and the error variation range model are substituted into the error transfer model of a single joint surface to construct an assembly error transfer model of the liquid hydrostatic guide rail.

6. The method for modeling the error of a hydrostatic guideway according to claim 5, characterized in that: The error transfer path includes a plurality of error transfer sub-paths; and determining the error transfer expressions corresponding to each of the combined surfaces according to the error transfer path includes: According to the error transfer path, determining a target expression of the error transfer subpath corresponding to each of the combined surfaces; A set operation is performed on the target expression of each of the error transfer sub-paths to obtain the error transfer expression corresponding to each of the combined surfaces.

7. The method for modeling the error of a hydrostatic guideway according to claim 1, characterized in that: After the error transfer model based on the single joint surface is constructed according to the error transfer path and the error variation range model, the assembly error transfer model of the hydrostatic guide rail may further include: Obtaining an error variation range corresponding to the processing requirements of the liquid hydrostatic guide rail; Substituting the error variation range into the assembly error transfer model to perform error calculation, so as to calculate the assembly geometric error of the hydrostatic guide rail under the processing requirements; The design parameters and assembly process of the liquid hydrostatic guide rail are optimized according to the assembly geometric error.

8. A liquid hydrostatic guide error modeling device, characterized in that: include: A structural analysis module, used to analyze the structure of the hydrostatic guide rail, determine the joint surfaces that affect the assembly accuracy during the assembly process, and the error transmission paths between the joint surfaces; A first construction module is used to construct an error variation range model between the actual machined surface and the corresponding ideal surface in each of the combined surfaces; The second construction module is used to construct an assembly error transfer model of the liquid hydrostatic guide based on the error transfer model of a single joint surface, according to the error transfer path and the error variation range model.

9. An electronic device comprising a memory, a processor, and a computer program stored in the memory and executable on the processor, wherein: When the processor executes the computer program, the liquid hydrostatic guide error modeling method as described in any one of claims 1 to 7 is implemented.

10. A non-transitory computer-readable storage medium having a computer program stored thereon, characterized in that: When the computer program is executed by a processor, the liquid hydrostatic guide error modeling method according to any one of claims 1 to 7 is implemented.

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