Design method, device and storage medium for ultrasonic grinding machine bearing fixture moving block

Abstract

The embodiments of this specification provide a method, device and storage medium for designing a bearing fixture movable block of an ultrasonic grinding machine, wherein the method includes: determining a B-spline curve of a bearing ring fixture surface according to an outer surface of a workpiece; determining a B-spline surface of a bearing ring fixture surface according to the B-spline curve of the bearing ring fixture surface; determining a mathematical model corresponding to the outer surface of the workpiece being processed according to the B-spline surface of the bearing ring fixture surface; and obtaining a corresponding objective function according to the mathematical model, thereby calculating the optimal solution of a bearing fixture movable block that matches the workpiece being processed.

Description

Technical Field

[0001] This document relates to the field of computer technology, and in particular to a design method, device and storage medium for a moving block of an ultrasonic grinding machine bearing fixture. Background Art

[0002] Existing ultrasonic enhanced grinding machines can only process bearings that are symmetrical on both sides and easy to clamp, such as cylindrical roller bearings. They cannot process tapered roller bearings or other irregular bearings that are not easy to clamp. However, tapered roller bearings and other irregular bearings are also of important research significance in reality, and they also need to be enhanced by grinding to study their properties in order to improve their surface performance. Summary of the invention

[0003] The object of the present invention is to provide a design method, device and storage medium for a moving block of a bearing fixture of an ultrasonic grinding machine, aiming to solve the above-mentioned problems in the prior art.

[0004] The present invention provides a method for designing a movable block of a bearing fixture of an ultrasonic grinding machine, comprising:

[0005] Determine the B-spline curve of the bearing ring fixture surface according to the outer surface of the workpiece;

[0006] Determine the B-spline surface of the bearing ring fixture surface according to the B-spline curve of the bearing ring fixture surface;

[0007] Determining a mathematical model adapted to the outer surface of the processed specimen according to the B-spline surface of the bearing ring fixture surface;

[0008] The corresponding objective function is obtained according to the mathematical model, so as to calculate the optimal solution of the moving block of the bearing fixture matched with the workpiece.

[0009] The present invention provides a design device for a movable block of a bearing fixture of an ultrasonic grinding machine, comprising:

[0010] A first determination module is used to determine a B-spline curve of a bearing ring fixture surface according to an outer surface of a workpiece;

[0011] A second determination module is used to determine the B-spline surface of the bearing ring fixture surface according to the B-spline curve of the bearing ring fixture surface;

[0012] A third determination module is used to determine a mathematical model adapted to the outer surface of the processed specimen according to the B-spline surface of the bearing ring fixture surface;

[0013] The solution module is used to obtain the corresponding objective function according to the mathematical model, so as to calculate the optimal solution of the moving block of the bearing fixture matched with the workpiece.

[0014] An embodiment of the present invention also provides an ultrasonic grinding machine bearing fixture movable block design device, comprising: a memory, a processor, and a computer program stored in the memory and executable on the processor, wherein the computer program implements the steps of the above-mentioned ultrasonic grinding machine bearing fixture movable block design method when executed by the processor.

[0015] An embodiment of the present invention further provides a computer-readable storage medium, on which a program for implementing information transmission is stored. When the program is executed by a processor, the steps of the above-mentioned method for designing a movable block of a bearing fixture of an ultrasonic grinding machine are implemented.

[0016] By adopting the embodiments of the present invention, the problem that the existing ultrasonic enhanced grinding machine can only process cylindrical roller bearings can be solved. A variety of bearing fixtures-moving blocks that match the corresponding processed specimens (bearings) can be intelligently designed based on the B-spline surface, so that tapered roller bearings or other important irregular bearings can be processed on the ultrasonic grinding machine, providing more experimental methods for studying other bearings besides cylindrical roller bearings. BRIEF DESCRIPTION OF THE DRAWINGS

[0017] In order to more clearly illustrate one or more embodiments of this specification or the technical solutions in the prior art, the drawings required for use in the embodiments or the description of the prior art will be briefly introduced below. Obviously, the drawings described below are only some embodiments recorded in this specification. For ordinary technicians in this field, other drawings can be obtained based on these drawings without paying creative labor.

[0018] Figure 1 is a flow chart of a method for designing a movable block of a bearing fixture of an ultrasonic grinding machine according to an embodiment of the present invention;

[0019] Figure 2 Schematic diagram of a bearing ring fixture according to an embodiment of the present invention Figure 1 ;

[0020] Figure 3 Schematic diagram of a bearing ring fixture according to an embodiment of the present invention Figure 2 ;

[0021] Figure 4 Schematic diagram of a bearing ring fixture according to an embodiment of the present invention Figure 3 ;

[0022] Figure 5 It is a schematic diagram of a design device for a movable block of a bearing fixture of an ultrasonic grinding machine according to a first embodiment of the device of the present invention;

[0023] Figure 6 It is a schematic diagram of a design device for a movable block of an ultrasonic grinding machine bearing fixture according to a second embodiment of the present invention. DETAILED DESCRIPTION

[0024] In order to enable those skilled in the art to better understand the technical solutions in one or more embodiments of this specification, the following will be combined with the drawings in one or more embodiments of this specification to clearly and completely describe the technical solutions in one or more embodiments of this specification. Obviously, the described embodiments are only part of the embodiments of this specification, not all of the embodiments. Based on one or more embodiments of this specification, all other embodiments obtained by ordinary technicians in this field without creative work should fall within the scope of protection of this document.

[0025] Method Embodiment

[0026] According to an embodiment of the present invention, a method for designing a movable block of a bearing fixture of an ultrasonic grinding machine is provided. Figure 1 FIG. 1 is a flow chart of a method for designing a movable block of a bearing fixture of an ultrasonic grinding machine according to an embodiment of the present invention. Figure 1 As shown, the method for designing a movable block of an ultrasonic grinding machine bearing fixture according to an embodiment of the present invention specifically includes:

[0027] Step 101, determining the B-spline curve of the bearing ring fixture surface according to the outer surface of the workpiece; Step 101 specifically includes:

[0028] Let P1, P2, …, P N , n ≥ k is the number of points in the given space. According to formula 1, the k-order B-spline curve is determined. According to formula 2-4 and the recursive relationship, the k-order B-spline basis function B of T is determined. i,k (t):

[0029]

[0030]

[0031]

[0032]

[0033] Among them, t k ≤t≤t n+1 , the broken lines P1, P2, ..., P n is the controlling polygon of P(t) and a partition on the axis with given parameter t, t i ≤t i+1 ,i=0,±1,…。

[0034] Step 102, determining the B-spline surface of the bearing ring fixture surface according to the B-spline curve of the bearing ring fixture surface; Step 102 specifically includes:

[0035] Given (m+1)(n+1) space point sequence b i,j , i=0,1,2,…,n;j=0,1,2,…,m, define the m×n B-spline surface according to Formula 5;

[0036]

[0037] When m=n=3, P(u,v)=[U]·[N]·[b]·[N] T ·[V] T ,in [U]=[u 3 u 2 u 1]; [V] = [v 3 v 2 v 1],

[0038] Step 103: determining a mathematical model adapted to the outer surface of the processed specimen according to the B-spline surface of the bearing ring fixture surface;

[0039] Step 104, finding the corresponding objective function according to the mathematical model, thereby calculating the optimal solution of the moving block of the bearing fixture that matches the workpiece.

[0040] Finally, in an embodiment of the present invention, the workpiece can be projected into a three-dimensional space according to the optimal solution, and a bearing fixture movable block matching the workpiece can be made by using an electric spark or CNC milling method.

[0041] The present invention designs a bearing fixture-moving block that matches the processed specimen (bearing) based on response surface intelligence, ensuring that the enhanced grinding machine can efficiently process tapered roller bearings or other important irregular bearings other than cylindrical roller bearings.

[0042] like Figure 2 , Figure 3 and Figure 4 As shown in the figure, 1 represents a tapered roller bearing, 2 represents a bearing ring fixture, and 3 represents an ultrasonic variable amplitude tool head. If the specimen to be processed is a tapered roller bearing, a suitable mathematical model will first be established based on the outer surface of the tapered roller bearing to be processed. The specific method is as follows:

[0043] Let P1, P2, …, P N (n≥k) is the n points in the given space, and the B-spline curve formula of order k (k-1) is t k ≤t≤t n+1 The broken lines P1, P2, ..., Pn is the controlling polygon of P(t) and a partition on the axis with given parameter t, B obtained by the following recursive relationship i,k (t) is called the k-order (or k-1-order) B-spline basis function of T: -∞≤t≤+∞, third order (2nd order): Get the B-spline curve, and then deduce the B-spline surface based on the B-spline curve. Specifically: Given (m+1) (n+1) space point sequence b i,j (i=0,1,2,…,n;j=0,1,2,…,m), we can define the m×n B-spline surface as: When m=n=3, P(u,v)=[U]·[N]· [b]·[N] T ·[V] T ,in, [U]=[u 3 u 2 u 1]; [V]=[v 3 v 2 v 1],

[0044] The above B-spline surface formula is used to construct a corresponding mathematical model. Further, the corresponding objective function is obtained based on the mathematical model to calculate the optimal solution, and then a formula is made based on the optimal solution. Figure 2 The bearing fixture-moving block shown matches the workpiece (bearing). Figure 3 The clamping device fixture-moving block required for the processed cylindrical roller bearing can also be obtained by, for example Figure 1 This method can intelligently process a variety of bearing fixtures-moving blocks corresponding to the corresponding processed specimens (bearings).

[0045] In summary, the embodiment of the present invention can intelligently design a bearing ring fixture that matches the processed specimen based on the B-spline surface, so that the ultrasonic strengthening grinding machine can cover 100% of the processing of various other important bearings such as tapered roller bearings in addition to cylindrical roller bearings. Through this method, various bearing ring fixture moving blocks corresponding to the processed workpiece (bearing) can be intelligently processed.

[0046] Device Example 1

[0047] According to an embodiment of the present invention, a design device for a movable block of a bearing fixture of an ultrasonic grinding machine is provided. Figure 5 Schematic diagram of a design device for a movable block of a bearing fixture for an ultrasonic grinding machine according to an embodiment of the present invention. Figure 5 As shown, the ultrasonic grinding machine bearing fixture moving block design device according to the embodiment of the present invention specifically includes:

[0048] The first determination module 50 is used to determine the B-spline curve of the bearing ring fixture surface according to the outer surface of the workpiece; the first determination module 50 is specifically used to:

[0049] Let P1, P2, …, P N , n ≥ k is the number of points in the given space. According to formula 1, the k-order B-spline curve is determined. According to formula 2-4 and the recursive relationship, the k-order B-spline basis function B of T is determined. i,k (t):

[0050]

[0051]

[0052]

[0053]

[0054] Among them, t k ≤t≤t n+1 , broken line P1,p2,…,P n is the controlling polygon of P(t) and a partition on the axis with given parameter t, t i ≤t i+1 ,i=0,±1,…。

[0055] The second determination module 52 is used to determine the B-spline surface of the bearing ring fixture surface according to the B-spline curve of the bearing ring fixture surface; the second determination module 52 is specifically used to:

[0056] Given (m+1)(n+1) space point sequence b i,j , i=0,1,2,…,n;j=0,1,2,…,m, define the m×n B-spline surface according to Formula 5;

[0057]

[0058] When m=n=3, P(u,v)=[U]·[N]·[b]·[N] T ·[V] T ,in [U]=[u 3 u 2 u 1]; [V] = [v 3 v 2 v 1],

[0059] A third determination module 54 is used to determine a mathematical model adapted to the outer surface of the processed specimen according to the B-spline surface of the bearing ring fixture surface;

[0060] The solution module 56 is used to obtain the corresponding objective function according to the mathematical model, so as to calculate the optimal solution of the moving block of the bearing fixture matched with the workpiece.

[0061] Preferably, the above device further comprises:

[0062] A manufacturing module is used to project the workpiece into three-dimensional space according to the optimal solution, and to use an electric spark or CNC milling method to manufacture a bearing fixture moving block that matches the workpiece.

[0063] The embodiment of the present invention is a device embodiment corresponding to the above method embodiment. The specific operations of each module can be understood by referring to the description of the method embodiment, which will not be repeated here.

[0064] Device Example 2

[0065] The embodiment of the present invention provides a design device for a movable block of a bearing fixture of an ultrasonic grinding machine, such as Figure 6 As shown, it includes: a memory 60, a processor 62, and a computer program stored in the memory 60 and executable on the processor 62. When the computer program is executed by the processor 62, the steps described in the method embodiment are implemented.

[0066] Device Example 3

[0067] An embodiment of the present invention provides a computer-readable storage medium, on which a program for implementing information transmission is stored. When the program is executed by the processor 62, the steps described in the method embodiment are implemented.

[0068] The computer-readable storage medium in this embodiment includes, but is not limited to, ROM, RAM, magnetic disk or optical disk, etc.

[0069] 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 replace some or all of the technical features therein with equivalents. However, these modifications or replacements do not cause the essence of the corresponding technical solutions to deviate from the scope of the technical solutions of the embodiments of the present invention.

Claims

1. A method for designing a movable block of an ultrasonic grinding machine bearing fixture, characterized in that: include: Determine the B-spline curve of the bearing ring fixture surface according to the outer surface of the workpiece; specifically include: Let P1, P2, ..., P N , n ≥ k is the n points in the given space, and the k-order or k-1-order B-spline curve is determined according to formula 1, and the k-order or k-1-order B-spline basis function B of T is determined according to formula 2-4 and the recursive relationship. i，k (t): Among them, t k ≤t≤t n+1 , broken lines P1, P2, ..., P n is the controlling polygon of P(t) and a partition on the axis with given parameter t, Determining the B-spline surface of the bearing ring fixture surface according to the B-spline curve of the bearing ring fixture surface specifically includes: Given (m+1)(n+1) space point sequence b i，j , i = 0, 1, 2, ..., n; j = 0, 1, 2, ..., m, define the m×n B-spline surface according to Formula 5; Among them, when m=n=3, P(u, v)=[U]·[NN]·[b]·[N] T [V] T , among them [U = [u 3 u 2 u 1]; [V] = [v 3 v 2 v 1], Determining a mathematical model adapted to the outer surface of the processed specimen according to the B-spline surface of the bearing ring fixture surface; The corresponding objective function is obtained according to the mathematical model, so as to calculate the optimal solution of the moving block of the bearing fixture matched with the workpiece.

2. The method according to claim 1, characterized in that: The method further comprises: According to the optimal solution, the workpiece is projected into a three-dimensional space, and a bearing fixture moving block matching the workpiece is manufactured by an electric spark or numerical control milling method.

3. A design device for a movable block of a bearing fixture of an ultrasonic grinding machine, characterized in that: include: The first determination module is used to determine the B-spline curve of the bearing ring fixture surface according to the outer surface of the workpiece; specifically used for: Let P1, P2, ..., P N , n ≥ k is the n points in the given space, and the k-order or k-1-order B-spline curve is determined according to formula 1, and the k-order or k-1-order B-spline basis function B of T is determined according to formula 2-4 and the recursive relationship. i，k (t): Among them, t k ≤t≤t n+1 , broken lines P1, P2, ..., P n is the controlling polygon of P(t) and a partition on the axis with given parameter t, The second determination module is used to determine the B-spline surface of the bearing ring fixture surface according to the B-spline curve of the bearing ring fixture surface; specifically used to: Given (m+1)(n+1) space point sequence b i，j , i = 0, 1, 2, ..., n; j = 0, 1, 2, ..., m, define the m×n B-spline surface according to Formula 5; Among them, m=n=3 hours, P(u, v)=[U]·[N]·[b]·[N] T [V] T , among them [u = [u 3 u 2 u 1]; [V] = [v 2 v 2 v 1], A third determination module is used to determine a mathematical model adapted to the outer surface of the processed specimen according to the B-spline surface of the bearing ring fixture surface; The solution module is used to obtain the corresponding objective function according to the mathematical model, so as to calculate the optimal solution of the moving block of the bearing fixture matched with the workpiece.

4. The device according to claim 3, characterized in that The device further comprises: A manufacturing module is used to project the workpiece into three-dimensional space according to the optimal solution, and to use an electric spark or CNC milling method to manufacture a bearing fixture moving block that matches the workpiece.

5. A design device for a movable block of a bearing fixture of an ultrasonic grinding machine, characterized in that: include: A memory, a processor, and a computer program stored in the memory and executable on the processor, wherein when the computer program is executed by the processor, the steps of the method for designing a movable block of an ultrasonic grinding machine bearing fixture are implemented as described in any one of claims 1 to 2.

6. A computer-readable storage medium, characterized in that: The computer-readable storage medium stores an implementation program for information transmission, and when the program is executed by a processor, the steps of the method for designing a movable block of an ultrasonic grinding machine bearing fixture as described in any one of claims 1 to 2 are implemented.

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