A method for predicting linear motion accuracy of an L-shaped worktable of a mortise and tenon broaching machine
By obtaining the motion pose error of the top surface of the slider and the form and position tolerance of the assembly surface, and combining the structural dimensions of the worktable, the problem of inaccurate prediction of the motion straightness of the L-shaped worktable in the existing technology is solved by using error propagation modeling technology. This achieves accurate straightness prediction and error control, and reduces design and manufacturing costs.
Patent Information
- Authority / Receiving Office
- CN · China
- Patent Type
- Applications(China)
- Current Assignee / Owner
- ZHEJIANG CHR INTELLIGENT EQUIP
- Filing Date
- 2026-03-03
- Publication Date
- 2026-06-02
AI Technical Summary
Existing methods for predicting the linearity of the L-shaped worktable of a tenoning broaching machine fail to fully consider the combined effects of motion posture error and form error, resulting in a large deviation between the design accuracy value and the measured value. This makes it difficult to guide the control of machining accuracy and assembly error, and increases design and manufacturing costs.
By acquiring the motion pose error of the top surface of the slider, the form and position tolerance of the assembly surface, and the structural dimensions of the worktable, an error propagation modeling technique is used to establish a method for predicting the motion straightness of the L-shaped worktable. This includes calculating the pose error and motion straightness of the tool holder mounting surface, and using Monte Carlo simulation to perform random normal sampling to accurately calculate the Z-axis deviation value of the tool holder mounting surface.
It enables accurate prediction of the linearity of the L-shaped worktable movement, improves design accuracy, reduces the design and manufacturing costs of the turbine disk tenoning broaching machine, simplifies on-site error detection, and enhances the overall precision of the machine tool.
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Figure CN122133337A_ABST
Abstract
Description
Technical Field
[0001] This invention belongs to the field of machining and manufacturing technology of turbine disks and compressor disks for aero engines and gas turbines, and specifically relates to a method for predicting the linearity of the motion of an L-shaped worktable on a tenon and slot broaching machine. Background Technology
[0002] The X-axis of a domestically produced horizontal broaching machine for turbine disk tenoning of aero-engines adopts an L-shaped worktable design. The linearity of the L-shaped worktable's motion is a key performance indicator, significantly impacting the contour, dimensional accuracy, and surface geometric accuracy of the turbine disk tenon groove. Establishing an accurate method for predicting the linearity of the L-shaped worktable's motion during the broaching machine's design, manufacturing, and assembly stages is crucial for accuracy prediction and analysis, providing a basis for L-shaped worktable form and position tolerance design and assembly error control, thereby improving the overall machine tool accuracy and manufacturing economy. Existing worktable motion accuracy prediction methods do not fully consider the comprehensive impact of motion posture errors and form and position errors on the prediction results, leading to significant deviations between the accuracy design value and the measured value, making it difficult to guide the forward design of broaching machine machining accuracy and assembly error control. This invention analyzes the influence of worktable form and position tolerance adjustment and assembly errors on the linearity of the L-shaped worktable's motion, and proposes an L-shaped worktable linearity prediction method using error propagation modeling technology. This method provides support for guiding the accuracy design of the L-shaped worktable in broaching machines and reducing the design and manufacturing costs of turbine disk tenoning broaching machines. Summary of the Invention
[0003] The purpose of this application is to provide a method for predicting the linearity of the L-shaped worktable of a mortise and tenon broaching machine, aiming to solve the problem of how to improve the design accuracy of the linearity of the worktable of the mortise and tenon broaching machine and reduce the design and manufacturing cost of the turbine disk mortise and tenon broaching machine.
[0004] According to a first aspect of the embodiments of this application, a method for predicting the linearity of the motion of an L-shaped worktable on a mortise and tenon broaching machine is provided, comprising: (1) Obtain the motion posture error of the top surface of the slider of the L-shaped worktable, the form and position tolerance of the assembly surface, and the structural dimensions of the worktable; (2) Based on the motion posture error of the top surface of the slider, the form and position tolerance of the assembly surface and the structural dimensions of the worktable, calculate the posture error of the tool holder mounting surface considering the superposition of form and position errors of the worktable; (3) Based on the positional error of the tool holder mounting surface under the superposition of worktable form and position errors, calculate the linearity of the tool holder mounting surface of the L-shaped worktable.
[0005] Furthermore, the pose error of the slider top surface motion includes Y To position error , Z To position error Rolling error Pitch error Yaw error ,in i = 1, 2, ... M , M The data is numbered; the form and position tolerances of the assembly surface include the first slider mounting surface. P Flatness of 1 t 1. Second slider mounting surface P 2 Relative to the first slider mounting surface P Verticality of 1 t 2. Working face P 3 Relative to the first slider mounting surface P Parallelism of 1 t 3; The structural dimensions of the worktable include the first slider mounting surface. P 1 in X , Y Dimensions in direction X 1. Y 1. Second slider mounting surface P 2 of X , Z To size X 2. Z 2. Working face P 3 X , Y To size X 3. Y 3. Slider mounting surface P 2. P 1. Geometric center X , Y , Z Distance x 12 , y 12 , z 12 working face P 3. First slider mounting surface P 1. Geometric center X , Y , Z Distance x 13 , y 13 , z 13 working face P 3. Second slider mounting surface P 2 Geometric Center X , Y , Z Distance x 23 , y 23 ,z 23 .
[0006] Further, step (2) includes: (2.1) Based on the motion posture error of the top surface of the slider, the form and position tolerance of the assembly surface, and the structural dimensions of the worktable, establish the first slider mounting surface. P 1. Second slider mounting surface P 2. Tool holder mounting surface P 3 Small displacement spinor , , ,in i = 1, 2, ... M , M Number the data; (2.2) Based on the motion pose error of the top surface of the slider, the form and position tolerance of the assembly surface, and the structural dimensions of the worktable, establish the top surface of the slider. P 0. First slider mounting surface P 1. Second slider mounting surface P 2. Tool holder mounting surface P 3 pose error matrix , , , ; (2.3) Based on the structural dimensions of the worktable, establish the second slider mounting surface. P 2 Relative to the first slider mounting surface P The nominal pose transformation matrix of 1 M 12 Tool holder mounting surface P 3 Relative to the first slider mounting surface P 1. Second slider mounting surface P 2 Nominal pose transformation matrix M 13 , M 23 ; (2.4) Based on the pose error matrix , , , and nominal pose transformation matrix M 12 , M 13 , M 23 Calculate the tool holder mounting surface P 3 Relative to the top surface of the slider P 0 actual pose transformation matrix E 03′ , ; (2.5) Based on the actual pose transformation matrix E 03′ and nominal pose transformation matrix M 13 Calculation of the tool holder mounting surface considering the superposition of form and position errors of the worktable P 3 pose error .
[0007] Furthermore, in step (2.1), Using the first slider mounting surface P 1 size X 1. Y 1 and flatness t 1. The first slider mounting surface is calculated using the following formula. P Small displacement spinor of 1 : ; Using the second slider mounting surface P 2 dimensions X 2. Z 2 and verticality t 2. The second slider mounting surface is calculated using the following formula. P 2 Small displacement spinor : ; Utilizing the tool holder mounting surface P 3 dimensions X 3. Y 3 and parallelism t 3. The tool holder mounting surface is calculated using the following formula. P 3 Small displacement spinor : .
[0008] Furthermore, in step (2.2), Based on the top surface of the slider P 0 Y To position error , Z To position error Rolling error Pitch error Yaw error Construct the top surface of the slider P 0 pose error matrix ; The small displacement spinor calculated based on step (2.1) Parameters in , , , , Construct the pose error matrix ,in j = 1, 2, 3.
[0009] Further, step (3) includes: (3.1) Based on the first slider mounting surface P 1. Second slider mounting surface P 2. Tool holder mounting surface P 3 Small displacement spinor , , Calculate the tool holder mounting surface P 3 pose error , , ; (3.2) Based on the tool holder mounting surface P 3 pose error , , Calculate the tool holder mounting surface P 3. Measurement points within the travel range of the worktable Z Deviation value z a3 ( s ); (3.3) Calculate the above Z Deviation value z a3 ( s The difference between the maximum and minimum values of ) is the tool holder mounting surface. P 3. Linearity of motion T a3 .
[0010] Furthermore, in step (3.2), the tool holder mounting surface P 3. Measurement points within the travel range of the worktable Z Deviation value .
[0011] According to a second aspect of the embodiments of this application, a computer program product is provided, including a computer program / instructions that, when executed by a processor, implement the method described in the first aspect.
[0012] According to a third aspect of the embodiments of this application, an electronic device is provided, comprising: One or more processors; Memory, used to store one or more programs; When the one or more programs are executed by the one or more processors, the one or more processors perform the method as described in the first aspect.
[0013] According to a fourth aspect of the embodiments of this application, a computer-readable storage medium is provided that stores computer instructions thereon, which, when executed by a processor, implement the steps of the method as described in the first aspect.
[0014] The technical solutions provided by the embodiments of this application may include the following beneficial effects: As can be seen from the above embodiments, this application, based on the deformation coordination principle and the small displacement spindle theory, uses error propagation modeling technology to map factors such as guide rail straightness error, parallelism error, and worktable form and position error to the motion straightness prediction model of the L-shaped worktable of the mortise and tenon broaching machine. This not only effectively solves the problem of accurately predicting the motion straightness of the worktable supported by multiple non-coplanar guide rails, but also provides a field detection and verification technology for the predicted worktable error value. This provides support for guiding the precision design of the L-shaped worktable of the broaching machine and reducing the design and manufacturing cost of the turbine disk mortise and tenon broaching machine.
[0015] It should be understood that the above general description and the following detailed description are exemplary and explanatory only, and do not limit this application. Attached Figure Description
[0016] The accompanying drawings, which are incorporated in and form part of this specification, illustrate embodiments consistent with this application and, together with the description, serve to explain the principles of this application.
[0017] Figure 1 This is a flowchart illustrating a method for predicting the linearity of the L-shaped worktable of a mortise and tenon broaching machine according to an exemplary embodiment.
[0018] Figure 2 This is a schematic diagram of an L-shaped worktable for a mortise and tenon broaching machine, according to an exemplary embodiment.
[0019] Figure 3 This is a schematic diagram of the geometric tolerances of an L-shaped worktable according to an exemplary embodiment.
[0020] Figure 4 The top surface of the slider is shown according to an exemplary embodiment. Y A schematic diagram of positional error.
[0021] Figure 5 The top surface of the slider is shown according to an exemplary embodiment. Z A schematic diagram of positional error.
[0022] Figure 6 This is a schematic diagram illustrating the roll error of the top surface of a slider according to an exemplary embodiment.
[0023] Figure 7 This is a schematic diagram illustrating the pitch error of the top surface of a slider according to an exemplary embodiment.
[0024] Figure 8 This is a schematic diagram illustrating the yaw error of the top surface of a slider according to an exemplary embodiment.
[0025] Figure 9 This is a comparison chart illustrating the prediction effect of the straightness of the workbench movement according to an exemplary embodiment.
[0026] Figure 10 This is a block diagram illustrating a device for predicting the linearity of the L-shaped worktable of a tenon and groove broaching machine according to an exemplary embodiment.
[0027] Figure 11 This is a schematic diagram of an electronic device according to an exemplary embodiment. Detailed Implementation
[0028] Exemplary embodiments will now be described in detail, examples of which are illustrated in the accompanying drawings. When the following description relates to the drawings, unless otherwise indicated, the same numbers in different drawings represent the same or similar elements. The embodiments described in the following exemplary embodiments do not represent all embodiments consistent with this application.
[0029] The terminology used in this application is for the purpose of describing particular embodiments only and is not intended to be limiting of the application. The singular forms “a,” “the,” and “the” used in this application and the appended claims are also intended to include the plural forms unless the context clearly indicates otherwise. It should also be understood that the term “and / or” as used herein refers to and includes any or all possible combinations of one or more of the associated listed items.
[0030] It should be understood that although the terms first, second, third, etc., may be used in this application to describe various information, such information should not be limited to these terms. These terms are only used to distinguish information of the same type from one another. For example, without departing from the scope of this application, first information may also be referred to as second information, and similarly, second information may also be referred to as first information. Depending on the context, the word "if" as used herein may be interpreted as "when," "when," or "in response to determination."
[0031] This invention provides a method for predicting the straightness of the L-shaped worktable motion in a mortise and tenon broaching machine, such as... Figure 1 As shown, the specific steps include: (1) Obtain the motion posture error of the top surface of the L-shaped worktable slider, the form and position tolerance of the assembly surface, and the structural dimensions of the worktable, wherein the motion posture error of the top surface of the slider includes Y Positional error (normal direction of the second slider mounting surface) , Z Positional error (normal to the first slider mounting surface) Rolling error Pitch error Yaw error ,in i = 1, 2, ... M , M Number the data and take M = 4200; Assembly surface geometric tolerances include the first slider mounting surface. P Flatness of 1 t 1. Second slider mounting surface P 2 Relative to the first slider mounting surface P Verticality of 1 t 2. Working face P 3 Relative to the first slider mounting surface P Parallelism of 1 t 3; The structural dimensions of the worktable include the mounting surface of the first slider. P 1 in X , Y Dimensions in direction X 1. Y 1. Second slider mounting surface P 2 of X , Z To size X 2. Z 2. Working face P 3 X , Y To size X 3. Y 3. Slider mounting surface P 2. P 1. Geometric center X , Y , Z Distance x 12 , y 12 , z 12 working face P 3. First slider mounting surface P 1. Geometric center X , Y , Z Distance x 13 , y 13 , z 13 working face P 3. Second slider mounting surface P 2 Geometric Center X , Y , Z Distance x23 , y 23 , z 23 .
[0032] Specifically, the L-shaped worktable structure is as follows: Figure 2 As shown; based on the guide rail assembly and inspection process, the top surface of the slider is obtained. P 0 motion pose error, including Y To position error , Z To position error Rolling error Pitch error Yaw error Based on the design data of the L-shaped worktable, the mounting surface of the first slider was obtained. P Flatness of 1 t 1. Second slider mounting surface P 2 Relative to the first slider mounting surface P Verticality of 1 t 2. Tool holder mounting surface P 3 Relative to the first slider mounting surface P Parallelism of 1 t 3. Assembly surface form and position tolerances ( Figure 3 ), to obtain the first slider mounting surface P 1 of X , Y To size X 1. Y 1. Second slider mounting surface P 2 of X , Z To size X 2. Z 2. Tool holder mounting surface P 3 X , Y To size X 3. Y 3. Slider mounting surface P 2. P 1. Geometric center X , Y , Z Distance x 12 , y 12 , z 12 Tool holder mounting surface P 3. First slider mounting surface P 1. Geometric center X , Y , Z Distance x13 , y 13 , z 13 Tool holder mounting surface P 3. Second slider mounting surface P 2 Geometric Center X , Y , Z Distance x 23 , y 23 , z 23 The structural dimensions of the worktable.
[0033] In the embodiment described, the obtained top surface of the slider P 0 motion pose error Figure 4-8 As shown in Table 1, the geometric tolerances of the assembly surfaces and the structural dimensions of the worktable are detailed in the table.
[0034] Table 1. Assembly Surface Geometric Tolerances and Worktable Structural Dimensions (2) Based on the motion posture error of the top surface of the slider, the form and position tolerance of the assembly surface and the structural dimensions of the worktable, calculate the posture error of the tool holder mounting surface considering the superposition of form and position errors of the worktable; Specifically, this step may include the following sub-steps: (2.1) Based on the motion posture error of the top surface of the slider, the form and position tolerance of the assembly surface, and the structural dimensions of the worktable, establish the first slider mounting surface. P 1. Second slider mounting surface P 2. Tool holder mounting surface P 3 Small displacement spinor , , .
[0035] Using the first slider mounting surface P 1 size X 1. Y 1 and flatness t 1. Calculate the mounting surface of the first slider using equation (1) P Small displacement spinor of 1 ,in i = 1, 2, ... 4200; Using the second slider mounting surface P 2 dimensions X 2. Z 2 and verticality t 2. Calculate the mounting surface of the second slider using equation (2). P 2 Small displacement spinor ; Utilizing the tool holder mounting surfaceP 3 dimensions X 3. Y 3 and parallelism t 3. Calculate the tool holder mounting surface using equation (3). P 3 Small displacement spinor .
[0036] (1) (2) (3) In the above equations (1)-(3), u, v, and w are translation quantities in meters (m); α, β, and γ are rotation quantities in radians (rad).
[0037] (2.2) Based on the motion pose error of the top surface of the slider, the form and position tolerance of the assembly surface, and the structural dimensions of the worktable, establish the top surface of the slider. P 0. First slider mounting surface P 1. Second slider mounting surface P 2. Tool holder mounting surface P 3 pose error matrix , , , .
[0038] top surface of slider P 0 Y To position error , Z To position error Rolling error Pitch error Yaw error Substitute into equation (4) to obtain the top surface of the slider. P 0 pose error matrix Then, the small displacement spinor calculated by equations (1) to (3) is... parameter , , , , Substituting into equation (5), we obtain the pose error matrix. ,in j = 1, 2, 3.
[0039] (4) (5) (2.3) Based on the structural dimensions of the worktable, establish the second slider mounting surface. P 2 Relative to the first slider mounting surface PThe nominal pose transformation matrix of 1 M 12 Tool holder mounting surface P 3 Relative to the first slider mounting surface P 1. Second slider mounting surface P 2 Nominal pose transformation matrix M 13 , M 23 .
[0040] The structural dimensions of the L-shaped worktable x 12 , y 12 , z 12 , x 13 , y 13 , z 13 , x 23 , y 23 , z 23 Substitute into equation (6) to obtain the second slider mounting surface. P 2 Relative to the first slider mounting surface P The nominal pose transformation matrix of 1 M 12 Tool holder mounting surface P 3. Relative to the slider mounting surface P 1. P 2 pose transformation matrix M 13 , M 23 .
[0041] (6) (2.4) Based on the pose error matrix , , , and nominal pose transformation matrix M 12 , M 13 , M 23 Calculate the tool holder mounting surface P 3 Relative to the top surface of the slider P 0 actual pose transformation matrix E 03′ .
[0042] Based on the aforementioned pose error matrix , , , and nominal pose transformation matrix M 12 , M 13 , M 23 The tool holder mounting surface can be calculated using equation (7). P 3 Relative to the top surface of the slider P 0 actual pose transformation matrix ,in I It is a 4×4 identity matrix.
[0043] (7) (2.5) Based on the actual pose transformation matrix E 03′ and nominal pose transformation matrix M 13 Calculation of the tool holder mounting surface considering the superposition of form and position errors of the worktable P 3 pose error .
[0044] Based on the aforementioned calculations, the tool holder mounting surface... P 3 Relative to the top surface of the slider P 0 actual pose transformation matrix The tool holder mounting surface can be further calculated using equation (8) considering the superposition of form and position errors of the worktable. P 3 pose error .
[0045] (8) In the formula The above-mentioned method for calculating the pose error of the tool holder mounting surface fully considers the combined influence of motion pose error and form error on the L-shaped worktable in traditional worktable errors, enabling more accurate modeling of the superposition behavior of worktable errors supported by multiple non-coplanar guide rails, and making the calculation of the pose error of the tool holder mounting surface more accurate.
[0046] Step (3): Based on the tool holder mounting surface P 3-position pose error matrix Calculate the tool holder mounting surface of the L-shaped worktable. P 3. Linearity of motion T a3 ; Specifically, this step may include the following sub-steps: (3.1) Based on the first slider mounting surface P 1. Second slider mounting surface P 2. Tool holder mounting surfaceP 3 Small displacement spinor , , Calculate the tool holder mounting surface P 3 pose error , , .
[0047] Based on the parameter constraints shown in equations (1) to (3), a program was written in MATLAB software to perform random normal sampling using the Monte Carlo simulation method to obtain the assembly surface. P 1. P 2. P 3 Small displacement spinor parameters , , , , , , , , Then the assembly surface P 1. P 2. P Substituting the small displacement spinor parameter of 3 into equation (8), the tool holder mounting surface is calculated. P 3 pose error , , .
[0048] (3.2) Based on the tool holder mounting surface P 3 pose error , , Calculate the tool holder mounting surface P 3. The measuring point (i.e., the actual measuring position) is within the travel range of the worktable. Z Deviation value z a3 ( s ).
[0049] Based on the aforementioned calculations, the tool holder mounting surface... P 3 pose error , , With the tool holder mounting surface P 3. Using the geometric center as the reference frame, the tool holder mounting surface is calculated using equation (9). P 3 measurement points Z Deviation value ,in These are the initial coordinates of the measurement point.
[0050] (9) (3.3) Calculate the above Z Deviation value z a3 ( s The difference between the maximum and minimum values of ) is the tool holder mounting surface. P 3. Linearity of motion T a3 .
[0051] Based on the aforementioned calculations, the tool holder mounting surface... P 3. Measurement points within the travel range of the worktable Z Deviation value The tool holder mounting surface is calculated using equation (10). P 3. Linearity of motion T a3 .
[0052] (10) The above-mentioned method for calculating the linearity of the tool holder mounting surface of the L-shaped worktable effectively solves the problem that the positional error of the traditional worktable is difficult to detect on-site, and makes the predicted value of the worktable error verifiable through on-site testing, which is simpler and more in line with engineering practice.
[0053] Following steps (1) to (3) sequentially, the linearity of the tool holder mounting surface of the L-shaped worktable is calculated, and the predicted result of the linearity of the tool holder mounting surface is finally obtained, such as... Figure 9 As shown, the predicted value of the straightness of the tool holder mounting surface considering the form and position error of the L-shaped worktable. T a3 = 32.6μm, predicted value without considering the form and position error of the L-shaped stage. T b3 = 23.3μm, measured value T c3 = 30μm. Implementation case results show that, using the method of this invention, the prediction accuracy of the motion straightness of the working plane, i.e., the tool holder mounting surface, which takes into account the form and position errors of the L-shaped worktable, is improved by 13.6%, verifying the effectiveness and engineering adaptability of this method under actual assembly conditions.
[0054] Corresponding to the aforementioned embodiments of the method for predicting the linearity of the L-shaped worktable of a mortise and tenon broaching machine, this application also provides embodiments of a device for predicting the linearity of the L-shaped worktable of a mortise and tenon broaching machine.
[0055] Figure 10 This is a block diagram illustrating a device for predicting the linearity of the L-shaped worktable of a mortise and tenon broaching machine according to an exemplary embodiment. (Refer to...) Figure 10 The device may include: Parameter acquisition module 21 is used to acquire the motion posture error of the top surface of the slider of the L-shaped worktable, the form and position tolerance of the assembly surface, and the structural dimensions of the worktable. The pose error calculation module 22 is used to calculate the pose error of the tool holder mounting surface under the condition of considering the superposition of the form and position errors of the worktable, based on the pose error of the top surface of the slider, the form and position tolerance of the assembly surface and the structural dimensions of the worktable. The straightness calculation module 23 is used to calculate the motion straightness of the tool holder mounting surface of the L-shaped worktable based on the pose error of the tool holder mounting surface under the condition of considering the superposition of form and position errors of the worktable.
[0056] Regarding the apparatus in the above embodiments, the specific manner in which each module performs its operation has been described in detail in the embodiments related to the method, and will not be elaborated upon here.
[0057] For the device embodiments, since they basically correspond to the method embodiments, the relevant parts can be referred to in the description of the method embodiments. The device embodiments described above are merely illustrative. The units described as separate components may or may not be physically separate, and the components shown as units may or may not be physical units, that is, they may be located in one place or distributed across multiple network units. Some or all of the modules can be selected to achieve the purpose of this application according to actual needs. Those skilled in the art can understand and implement this without creative effort.
[0058] Accordingly, this application also provides a computer program product, including a computer program / instruction, which, when executed by a processor, implements the above-described method for predicting the linearity of the L-shaped worktable motion of a mortise and tenon broaching machine.
[0059] Accordingly, this application also provides an electronic device, including: one or more processors; a memory for storing one or more programs; when the one or more programs are executed by the one or more processors, the one or more processors implement the above-described method for predicting the linearity of the L-shaped worktable motion of a tenon and mortise broaching machine. Figure 11 The diagram shown is a hardware structure diagram of any device with data processing capabilities, including a device for predicting the linearity of the L-shaped worktable of a tenon and groove broaching machine according to an embodiment of the present invention. (Except for...) Figure 11 In addition to the processor, memory, and network interface shown, any data processing device in the embodiment may also include other hardware depending on the actual function of the data processing device, which will not be described in detail here.
[0060] Accordingly, this application also provides a computer-readable storage medium storing computer instructions, which, when executed by a processor, implement the above-described method for predicting the linearity of the L-shaped worktable motion of a mortise and tenon broaching machine. The computer-readable storage medium can be an internal storage unit of any data-processing device as described in any of the foregoing embodiments, such as a hard disk or memory. The computer-readable storage medium can also be an external storage device, such as a plug-in hard disk, smart media card (SMC), SD card, flash card, etc., equipped on the device. Furthermore, the computer-readable storage medium can include both internal storage units of any data-processing device and external storage devices. The computer-readable storage medium is used to store the computer program and other programs and data required by the data-processing device, and can also be used to temporarily store data that has been output or will be output.
[0061] Other embodiments of this application will readily occur to those skilled in the art upon consideration of the specification and practice of the disclosure herein. This application is intended to cover any variations, uses, or adaptations of this application that follow the general principles of this application and include common knowledge or customary techniques in the art not disclosed herein.
Claims
1. A method for predicting the linearity of the L-shaped worktable of a mortise and tenon broaching machine, characterized in that, include: (1) Obtain the motion posture error of the top surface of the slider of the L-shaped worktable, the form and position tolerance of the assembly surface, and the structural dimensions of the worktable; (2) Based on the motion posture error of the top surface of the slider, the form and position tolerance of the assembly surface and the structural dimensions of the worktable, calculate the posture error of the tool holder mounting surface considering the superposition of form and position errors of the worktable; (3) Based on the positional error of the tool holder mounting surface under the superposition of worktable form and position errors, calculate the linearity of the tool holder mounting surface of the L-shaped worktable.
2. The method according to claim 1, characterized in that, The slider top surface motion posture error includes Y To position error , Z To position error Rolling error Pitch error Yaw error ,in i = 1, 2, ... M , M The data is numbered; the form and position tolerances of the assembly surface include the first slider mounting surface. P Flatness of 1 t 1. Second slider mounting surface P 2 Relative to the first slider mounting surface P Verticality of 1 t 2. Working face P 3 Relative to the first slider mounting surface P Parallelism of 1 t 3; The structural dimensions of the worktable include the first slider mounting surface. P 1 in X , Y Dimensions in direction X 1. Y 1. Second slider mounting surface P 2 of X , Z To size X 2. Z 2. Working face P 3 X , Y To size X 3. Y 3. Slider mounting surface P 2. P 1. Geometric center X , Y , Z Distance x 12 , y 12 , z 12 working face P 3. First slider mounting surface P 1. Geometric center X , Y , Z Distance x 13 , y 13 , z 13 working face P 3. Second slider mounting surface P 2 Geometric Center X , Y , Z Distance x 23 , y 23 , z 23 .
3. The method according to claim 1, characterized in that, Step (2) includes: (2.1) Based on the motion posture error of the top surface of the slider, the form and position tolerance of the assembly surface, and the structural dimensions of the worktable, establish the first slider mounting surface. P 1. Second slider mounting surface P 2. Tool holder mounting surface P 3 Small displacement spinor , , ,in i =1, 2, ... M , M Number the data; (2.2) Based on the motion pose error of the top surface of the slider, the form and position tolerance of the assembly surface, and the structural dimensions of the worktable, establish the top surface of the slider. P 0. First slider mounting surface P 1. Second slider mounting surface P 2. Tool holder mounting surface P 3 pose error matrix , , , ; (2.3) Based on the structural dimensions of the worktable, establish the second slider mounting surface. P 2 Relative to the first slider mounting surface P The nominal pose transformation matrix of 1 M 12 Tool holder mounting surface P 3 Relative to the first slider mounting surface P 1. Second slider mounting surface P 2 Nominal pose transformation matrix M 13 , M 23 ; (2.4) Based on the pose error matrix , , , and nominal pose transformation matrix M 12 , M 13 , M 23 Calculate the tool holder mounting surface P 3 Relative to the top surface of the slider P 0 actual pose transformation matrix E 03′ , ; (2.5) Based on the actual pose transformation matrix E 03′ and nominal pose transformation matrix M 13 Calculation of the tool holder mounting surface considering the superposition of form and position errors of the worktable P 3 pose error .
4. The method according to claim 3, characterized in that, In step (2.1), Using the first slider mounting surface P 1 size X 1. Y 1 and flatness t 1. The first slider mounting surface is calculated using the following formula. P Small displacement spinor of 1 : ; Using the second slider mounting surface P 2 dimensions X 2. Z 2 and verticality t 2. The second slider mounting surface is calculated using the following formula. P 2 Small displacement spinor : ; Utilizing the tool holder mounting surface P 3 dimensions X 3. Y 3 and parallelism t 3. The tool holder mounting surface is calculated using the following formula. P 3 Small displacement spinor : 。 5. The method according to claim 3, characterized in that, In step (2.2), Based on the top surface of the slider P 0 Y To position error , Z To position error Rolling error Pitch error Yaw error Construct the top surface of the slider P 0 pose error matrix ; The small displacement spinor calculated based on step (2.1) Parameters in , , , , Construct the pose error matrix ,in j = 1, 2, 3.
6. The method according to claim 1, characterized in that, Step (3) includes: (3.1) Based on the first slider mounting surface P 1. Second slider mounting surface P 2. Tool holder mounting surface P 3 Small displacement spinor , , Calculate the tool holder mounting surface P 3 pose error , , ; (3.2) Based on the tool holder mounting surface P 3 pose error , , Calculate the tool holder mounting surface P 3. Measurement points within the travel range of the worktable Z Deviation value z a3 ( s ); (3.3) Calculate the above Z Deviation value z a3 ( s The difference between the maximum and minimum values of ) is the tool holder mounting surface. P 3. Linearity of motion T a3 .
7. The method according to claim 6, characterized in that, In step (3.2), the tool holder mounting surface P 3. Measurement points within the travel range of the worktable Z Deviation value .
8. A computer program product comprising a computer program / instructions, characterized in that, When the computer program / instruction is executed by the processor, it implements the method as described in any one of claims 1-7.
9. An electronic device, characterized in that, include: One or more processors; Memory, used to store one or more programs; When the one or more programs are executed by the one or more processors, the one or more processors implement the method as described in any one of claims 1-7.
10. A computer-readable storage medium storing computer instructions thereon, characterized in that, When executed by the processor, this instruction implements the steps of the method as described in any one of claims 1-7.