CN115081136A - Design method and device for grinder bearing steel clamp and storage medium - Google Patents
Design method and device for grinder bearing steel clamp and storage medium Download PDFInfo
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- 238000003860 storage Methods 0.000 title claims abstract description 10
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- 238000000227 grinding Methods 0.000 claims description 13
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Abstract
The embodiment of the specification provides a design method, a device and a storage medium for a grinder bearing steel clamp, wherein the method comprises the following steps: determining a plurality of control points according to the geometric dimension of the machined part, and determining a plurality of points of a cavity to be constructed according to a regression equation based on the plurality of control points; calculating a B spline curve according to the plurality of points, and calculating a B spline surface according to the B spline curve; determining a mathematical model of the processed part according to the plurality of B spline surfaces; and determining a plurality of clamping devices matched with the machined part based on the mathematical model.
Description
Technical Field
The present invention relates to the field of computer technologies, and in particular, to a method and an apparatus for designing a grinder bearing steel fixture, and a storage medium.
Background
The existing strengthening grinding machine can only roughly process and process bearing steel, the clamping position of a clamp needs to be changed when one kind of bearing steel or other bearing steel with different sizes is changed, the fixed parts of the clamp need to be manually changed, and the grinding machine shakes violently during working, so that the clamping of the clamp is easy to loosen, workpieces are moved, and the processing quality is finally reduced.
Disclosure of Invention
The invention aims to provide a design method and a device of a grinder bearing steel clamp and a storage medium, and aims to solve the problems in the prior art.
The invention provides a design method of a grinder bearing steel clamp, which comprises the following steps:
determining a plurality of control points according to the geometric dimension of the machined part, and determining a plurality of points of a cavity to be constructed according to a regression equation based on the plurality of control points;
calculating a B spline curve according to the plurality of points, and calculating a B spline surface according to the B spline curve;
determining a mathematical model of the processed part according to the plurality of B spline surfaces;
and determining a plurality of clamping devices matched with the machined part based on the mathematical model.
The invention provides a design device of a grinder bearing steel clamp, which comprises:
the first determination module is used for determining a plurality of control points according to the geometric dimension of the machined part and determining a plurality of points of the cavity to be constructed according to a regression equation based on the plurality of control points;
the calculation module is used for calculating a B spline curve according to the plurality of points and calculating a B spline surface according to the B spline curve;
the second determination module is used for determining a mathematical model of the processed part according to the plurality of B-spline surfaces;
and the third determination module is used for determining a plurality of clamping devices matched with the machined part based on the mathematical model.
The embodiment of the invention also provides a design device of the grinder bearing steel clamp, which comprises the following components: a memory, a processor and a computer program stored on the memory and executable on the processor, the computer program when executed by the processor implementing the steps of the method of designing a grinder bearing steel jig as described above.
The embodiment of the invention also provides a computer readable storage medium, wherein an implementation program for information transmission is stored on the computer readable storage medium, and the program is executed by a processor to realize the steps of the design method of the bearing steel clamp of the grinding machine.
By adopting the embodiment of the invention, the huge problems that the fixture clamping mode is required to be changed and the clamping is easy to loosen when the strengthening grinding machine clamps different bearing steels can be solved, and various machining clamping devices matched with the machined test piece can be intelligently formed on the basis of the B-spline curved surface and the response curved surface, so that the bearing steels with different sizes can be conveniently and accurately machined, and a machining method is provided for researching other materials except for fixed bearing steel.
Drawings
In order to more clearly illustrate one or more embodiments or prior art solutions of the present specification, the drawings that are needed in the description of the embodiments or prior art will be briefly described below, it is obvious that the drawings in the following description are only some embodiments described in the present specification, and that other drawings can be obtained by those skilled in the art without inventive exercise.
FIG. 1 is a schematic diagram of a method of designing a grinder bearing steel jig according to an embodiment of the present invention;
FIG. 2 is a schematic view of a design device of a grinding mill bearing steel jig according to a first embodiment of the present invention;
FIG. 3 is a schematic view of a design device of a grinder bearing steel jig according to a second embodiment of the present invention.
Detailed Description
In order to make those skilled in the art better understand the technical solutions in one or more embodiments of the present disclosure, the technical solutions in one or more embodiments of the present disclosure will be clearly and completely described below with reference to the drawings in one or more embodiments of the present disclosure, and it is obvious that the described embodiments are only a part of the embodiments of the present disclosure, and not all embodiments. All other embodiments that can be derived by a person skilled in the art from one or more of the embodiments described herein without making any inventive step shall fall within the scope of protection of this document.
Method embodiment
According to an embodiment of the present invention, there is provided a method for designing a bearing steel jig of a grinding machine, fig. 1 is a flowchart of the method for designing a bearing steel jig of a grinding machine according to an embodiment of the present invention, and as shown in fig. 1, the method for designing a bearing steel jig of a grinding machine according to an embodiment of the present invention specifically includes:
step 101, determining a plurality of control points according to the geometric dimension of a machined part, and determining a plurality of points of a cavity to be constructed according to a regression equation based on the plurality of control points; in particular, the amount of the solvent to be used,
the innumerable points of the cavity to be constructed are determined according to the regression equation as shown in equation 1:
where t is an initial known value, knot represents a node, knot i Representing the ith element, B, in the node table i,deg (t) is a parameter of the basis function table, the parameters i and deg denote the number of elements and the order, respectively, B i,deg (t) represents the value of the ith element of the base function table in deg order when the user input value is t.
102, calculating a B-spline curve according to the plurality of points, and calculating a B-spline surface according to the B-spline curve; the method specifically comprises the following steps:
obtaining an element of the current deg-1 order through two elements of deg-1 order, and so on, gradually returning to the zero order, and when returning to the zero order, determining the position of t in the basic function table based on formula 2:
wherein, in zeroth order, t is 1 when t is between the ith and i +1 th knot values, and otherwise t is 0;
calculating the position corresponding to the t value in the B spline curve according to the value which can be recursively pushed to the position in the deg, setting the corresponding position of the final t value in the B spline curve as C (t), and calculating according to a formula 3 to obtain the B spline curve:
wherein n is the total number of control points, P i For the ith control point, C (t) is the product of the weight values of all elements in the deg order in the basic function table and the coordinate of the control point at the corresponding position, i.e. B 0,deg (t)P 0 ，B 1,deg (t)P 1 ，……，B n-1,deg (t)P n-1 Adding the two to obtain a sum;
based on the B-spline curve, calculating according to a formula 4 to obtain a B-spline surface:
wherein u is k ≤u≤u m+l ，v l ≤v≤v n+l ，P i，j Is a control point set, m represents the number of abscissa i of control point d, j represents the ordinate of control point d, and l represents the number of times of a given parameter v.
103, determining a mathematical model of the processed part according to the plurality of B-spline surfaces;
and 104, determining a plurality of clamping devices matched with the machined part based on the mathematical model.
Preferably, the above method further comprises:
and producing a clamping device by an electric spark or a numerical control milling machine according to the clamping device determined based on the mathematical model.
The embodiment of the invention intelligently designs the clamping device matched with the processed test piece based on the B-spline surface and the response surface, so that the strengthening grinding machine can process irregular bearing steel except fixed bearing steel in a hundred percent coverage manner. The design of the response surface is reasonableThe experimental design method obtains certain data through experiments, adopts a multivariate quadratic regression equation to fit the functional relationship between factors and response values, and seeks a statistical method for solving the multivariate problem by optimal process parameters through the analysis of the regression equation. Specifically, the method comprises the following steps: a suitable mathematical model is established by means of a plurality of measurement test data, for example by means of multiple linear regression, on the basis of the test piece to be machined, first of all a number of control points are determined on the basis of the geometric dimensions of the part to be machined, and then on the basis of the following regression equation:
finding the innumerable points of the cavity to be constructed, where t is an initial known value, knot represents the node, and knot represents the node i Representing the ith element, B, in the node table i,deg (t) is a parameter of the basis function table, and the parameters i and deg represent the number of elements and the order, respectively. Further B i,deg (t) means that when the user inputs a value t, the value of the ith element of the basic function table in the deg order is. The current deg order element needs to be obtained by two deg-1 order elements, and so on back to zero order. Returning to zero order and then according to the usage formula
Namely, when t is between the ith and (i + 1) th knot values, it will be equal to 1, and when t is equal to 0, the function is to confirm the position of t in the element table, and then recursively estimate the value of t to the position in the deg according to the value, and finally calculate the position of t corresponding to the B-spline curve. Then setting the final t value at the corresponding position of the B spline curve as C (t), and then according to the calculation formula of the B spline curve
Where n is the total number of control points, P i For the ith control point, C (t) is the product of the weight values of all elements in the deg order in the basic function table and the coordinate of the control point at the corresponding position, i.e. B 0,deg (t)P 0 ，B 1,deg (t)P 1 ，……，B n-1,deg (t)P n-1 One by oneThe sum obtained after addition. Then further obtaining a B-spline surface according to the B-spline curve
Wherein P is i,j Is a set of control points. Therefore, a mathematical model of the B-spline surface is determined according to the B-spline surfaces, then a plurality of clamping devices matched with the processed test piece are manufactured, and the clamping devices are produced through electric sparks or a numerical control milling machine. By the method, various clamping devices corresponding to the processed test piece can be intelligently processed, and the clamping devices can improve the experimental accuracy of various materials.
Apparatus embodiment one
According to an embodiment of the present invention, there is provided a design apparatus for a bearing steel jig of a grinding machine, fig. 2 is a schematic view of the design apparatus for a bearing steel jig of a grinding machine according to an embodiment of the present invention, as shown in fig. 2, the design apparatus for a bearing steel jig of a grinding machine according to an embodiment of the present invention specifically includes:
the first determining module 20 is configured to determine a plurality of control points according to the geometric dimension of the machined part, and determine a plurality of points of the cavity to be constructed according to a regression equation based on the plurality of control points; the first determining module 20 is specifically configured to:
the infinite number of points of the cavity to be constructed is determined according to the regression equation as shown in equation 1:
where t is an initial known value, knot represents a node, knot i Representing the ith element, B, in the node table i,deg (t) is a parameter of the basis function table, the parameters i and deg denote the number of elements and the order, respectively, B i,deg (t) represents the value of the ith element of the base function table in deg order when the user input value is t.
A calculation module 22, configured to calculate a B-spline curve according to the determined plurality of points, and calculate a B-spline surface according to the B-spline curve; the calculation module 22 is specifically configured to:
obtaining an element of the current deg-1 order through two elements of deg-1 order, and so on, gradually returning to the zero order, and when returning to the zero order, determining the position of t in the basic function table based on formula 2:
wherein, in zeroth order, t is 1 when t is between the ith and i +1 th knot values, and otherwise t is 0;
calculating the position corresponding to the t value in the B spline curve according to the value which can be recursively pushed to the position in the deg, setting the corresponding position of the final t value in the B spline curve as C (t), and calculating according to a formula 3 to obtain the B spline curve:
wherein n is the total number of control points, P i For the ith control point, C (t) is the product of the weight values of all elements in the deg order in the basic function table and the coordinate of the control point at the corresponding position, namely B 0,deg (t)P 0 ，B 1,deg (t)P 1 ，……，B n-1,deg (t)P n-1 Adding the two to obtain a sum;
based on the B-spline curve, calculating according to a formula 4 to obtain a B-spline surface:
wherein u is k ≤ u ≤u m+l ，v l ≤v≤v n+l ，P i，j Is a control point set, m represents the number of abscissas i of control points d, j represents the ordinate of control points d, and l represents the number of times of a given parameter v.
The second determining module 24 is used for determining a mathematical model of the processed part according to the plurality of B-spline surfaces;
and a third determination module 26 for determining a plurality of clamping devices for cooperating with the machined part based on the mathematical model.
The above apparatus may further comprise:
and the production module is used for producing the clamping device through an electric spark or a numerical control milling machine according to the clamping device determined based on the mathematical model.
The embodiment of the present invention is an apparatus embodiment corresponding to the above method embodiment, and specific operations of each module may be understood with reference to the description of the method embodiment, which is not described herein again.
Device embodiment II
An embodiment of the present invention provides a design apparatus for a grinder bearing steel fixture, as shown in fig. 3, including: a memory 30, a processor 32 and a computer program stored on the memory 30 and executable on the processor 32, which computer program, when executed by the processor 32, performs the steps as described in the method embodiments.
Device embodiment III
An embodiment of the present invention provides a computer-readable storage medium, on which an implementation program for information transmission is stored, and when the program is executed by a processor 32, the steps as described in the method embodiment are implemented.
The computer-readable storage medium of this embodiment includes, but is not limited to: ROM, RAM, magnetic or optical disks, and the like.
Finally, it should be noted that: the above embodiments are only used to illustrate the technical solution of the present invention, and not to limit the same; while the invention has been described in detail and with reference to the foregoing embodiments, it will be understood by those skilled in the art that: the technical solutions described in the foregoing embodiments may still be modified, or some or all of the technical features may be equivalently replaced; and the modifications or the substitutions do not make the essence of the corresponding technical solutions depart from the scope of the technical solutions of the embodiments of the present invention.
Claims (10)
1. A design method of a grinder bearing steel clamp is characterized by comprising the following steps:
determining a plurality of control points according to the geometric dimension of the machined part, and determining a plurality of points of a cavity to be constructed according to a regression equation based on the plurality of control points;
calculating a B spline curve according to the plurality of points, and calculating a B spline surface according to the B spline curve;
determining a mathematical model of the processed part according to the plurality of B spline surfaces;
and determining a plurality of clamping devices matched with the machined part based on the mathematical model.
2. The method of claim 1, further comprising:
and producing a clamping device by an electric spark or a numerical control milling machine according to the clamping device determined based on the mathematical model.
3. The method of claim 1, wherein determining a plurality of points of a cavity to be constructed from a regression equation based on the plurality of control points comprises:
the innumerable points of the cavity to be constructed are determined according to the regression equation as shown in equation 1:
where t is an initial known value, knot represents a node, knot i Representing the ith element, B, in the node table i,deg (t) is a parameter of the basis function table, the parameters i and deg denote the number of elements and the order, respectively, B i,deg (t) represents the value of the ith element of the base function table in deg order when the user input value is t.
4. The method of claim 3, wherein computing a B-spline curve from the determined plurality of points, computing a B-spline surface from the B-spline curve specifically comprises:
obtaining an element of the current deg-1 order through two elements of deg-1 order, and so on, gradually returning to the zero order, and when returning to the zero order, determining the position of t in the basic function table based on formula 2:
wherein, in zeroth order, t is 1 when t is between the ith and i +1 th knot values, and otherwise t is 0;
calculating the position of the t value corresponding to the B spline curve according to the value which can be recursively pushed to the position in the deg, setting the corresponding position of the final t value in the B spline curve as C (t), and calculating according to a formula 3 to obtain the B spline curve:
wherein n is the total number of control points, P i For the ith control point, C (t) is the product of the weight values of all elements in the deg order in the basic function table and the coordinate of the control point at the corresponding position, namely B 0,deg (t)P 0 ，B 1,deg (t)P 1 ，……，B n-1,deg (t)P n-1 Adding the two to obtain a sum;
based on the B-spline curve, calculating according to a formula 4 to obtain a B-spline surface:
wherein u is k ≤u≤u m+l ，v l ≤v≤v n+l ，P i，j Is a control point set, m represents the number of abscissas i of control points d, j represents the ordinate of control points d, and l represents the number of times of a given parameter v.
5. A design device of a grinder bearing steel clamp is characterized by comprising:
the first determining module is used for determining a plurality of control points according to the geometric dimension of the machined part and determining a plurality of points of the cavity to be constructed according to a regression equation based on the plurality of control points;
the calculation module is used for calculating a B spline curve according to the plurality of points and calculating a B spline surface according to the B spline curve;
the second determining module is used for determining the mathematical model of the processed part according to the plurality of B spline surfaces;
and the third determination module is used for determining a plurality of clamping devices matched with the machined part based on the mathematical model.
6. The apparatus of claim 5, further comprising:
and the production module is used for producing the clamping device through an electric spark or a numerical control milling machine according to the clamping device determined based on the mathematical model.
7. The apparatus of claim 5, wherein the first determining module is specifically configured to:
the innumerable points of the cavity to be constructed are determined according to the regression equation as shown in equation 1:
where t is an initial known value, knot represents a node, knot i Representing the ith element, B, in the node table i,deg (t) is a parameter of the basis function table, the parameters i and deg denote the number of elements and the order, respectively, B i,deg (t) represents the value of the ith element of the base function table in deg order when the user input value is t.
8. The apparatus of claim 7, wherein the computing module is specifically configured to:
obtaining an element of the current deg-1 order through two elements of deg-1 order, and so on, gradually returning to the zero order, and when returning to the zero order, determining the position of t in the basic function table based on formula 2:
wherein, in zeroth order, t is 1 when t is between the ith and i +1 th knot values, and otherwise t is 0;
calculating the position corresponding to the t value in the B spline curve according to the value which can be recursively pushed to the position in the deg, setting the corresponding position of the final t value in the B spline curve as C (t), and calculating according to a formula 3 to obtain the B spline curve:
wherein n is the total number of control points, P i For the ith control point, C (t) is the product of the weight values of all elements in the deg order in the basic function table and the coordinate of the control point at the corresponding position, i.e. B 0,deg (t)P 0 ，B 1,deg (t)P 1 ，……，B n-1,deg (t)P n-1 Adding the two to obtain a sum;
based on the B-spline curve, calculating according to a formula 4 to obtain a B-spline surface:
wherein u is k ≤u≤u m+l ，v l ≤v≤v n+l ，P i，j Is a control point set, m represents the number of abscissas i of control points d, j represents the ordinate of control points d, and l represents the number of times of a given parameter v.
9. A design device of a grinder bearing steel clamp is characterized by comprising: memory, a processor and a computer program stored on the memory and executable on the processor, which computer program when executed by the processor implements the steps of the method of designing a grinder bearing steel jig according to any one of claims 1 to 4.
10. A computer-readable storage medium, characterized in that it has stored thereon an information-transferring implementation program which, when being executed by a processor, implements the steps of the design method of a grinding mill bearing steel jig according to any one of claims 1 to 4.
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| CN114406809A (en) * | 2022-03-03 | 2022-04-29 | 广州大学 | Method for intelligently designing machining cavity of ultrasonic grinding machine |
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| CN114770229A (en) * | 2022-04-19 | 2022-07-22 | 广州大学 | Bearing ring clamp curved surface design method and device and storage medium |
| CN114770229B (en) * | 2022-04-19 | 2024-04-26 | 广州大学 | Bearing ring clamp curved surface design method, device and storage medium |
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