CN114406809A - Method for intelligently designing machining cavity of ultrasonic grinding machine - Google Patents
Method for intelligently designing machining cavity of ultrasonic grinding machine Download PDFInfo
- Publication number
- CN114406809A CN114406809A CN202210202359.1A CN202210202359A CN114406809A CN 114406809 A CN114406809 A CN 114406809A CN 202210202359 A CN202210202359 A CN 202210202359A CN 114406809 A CN114406809 A CN 114406809A
- Authority
- CN
- China
- Prior art keywords
- grinding machine
- order
- processing cavity
- ultrasonic grinding
- value
- Prior art date
- Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
- Granted
Links
Images
Classifications
-
- B—PERFORMING OPERATIONS; TRANSPORTING
- B24—GRINDING; POLISHING
- B24B—MACHINES, DEVICES, OR PROCESSES FOR GRINDING OR POLISHING; DRESSING OR CONDITIONING OF ABRADING SURFACES; FEEDING OF GRINDING, POLISHING, OR LAPPING AGENTS
- B24B1/00—Processes of grinding or polishing; Use of auxiliary equipment in connection with such processes
- B24B1/04—Processes of grinding or polishing; Use of auxiliary equipment in connection with such processes subjecting the grinding or polishing tools, the abrading or polishing medium or work to vibration, e.g. grinding with ultrasonic frequency
Landscapes
- Engineering & Computer Science (AREA)
- Mechanical Engineering (AREA)
- Grinding And Polishing Of Tertiary Curved Surfaces And Surfaces With Complex Shapes (AREA)
- Constituent Portions Of Griding Lathes, Driving, Sensing And Control (AREA)
Abstract
The invention provides a method for intelligently designing a processing cavity of an ultrasonic grinding machine, which comprises the following steps: determining a plurality of control points according to the geometric dimension of a machined part; step two, finding out a recursion value according to the recursion equation of the control point through the basic function table; step three, determining a corresponding curve of the recursion value through a B spline curve calculation formula; and step four, obtaining the design appearance of the processing cavity according to the plurality of corresponding curves. The invention can process various processing cavities corresponding to corresponding processed test pieces, the processing cavities ensure that the sprayed material of the ultrasonic strengthening grinding machine covers the processed test pieces by one hundred percent, and the experimental accuracy of various materials can be improved.
Description
Technical Field
The invention relates to the field of ultrasonic reinforced grinding equipment, in particular to a method for intelligently designing a processing cavity of an ultrasonic grinding machine.
Background
The existing ultrasonic reinforced grinding machine can only process a cylindrical roller bearing, and because the ultrasonic reinforced grinding machine is not provided with a processing cavity matched with a tapered roller bearing or other special-shaped objects, the tapered roller bearing or other special-shaped objects cannot be reinforced, and the tapered roller bearing or other shaped bearings also have important research significance in reality, and the reinforced grinding is needed to research the properties of the bearings so as to improve the surface performance of the bearings.
At present, a processing cavity on the ultrasonic strengthening grinding machine can only process parts with simple structure rules, such as a cylindrical roller bearing, and the method for designing the processing cavity suitable for other special-shaped parts is complex, and time and labor are wasted during manual design.
Disclosure of Invention
The invention aims to provide a method for intelligently designing a processing cavity of an ultrasonic grinding machine, which is used for designing cavities which are arranged on an ultrasonic reinforced grinding machine and used for processing other important parts such as tapered roller bearings and the like, and avoids the condition that manual design and processing are time-consuming and labor-consuming.
The invention provides a method for intelligently designing a processing cavity of an ultrasonic grinding machine, which comprises the following steps:
determining a plurality of control points according to the geometric dimension of a machined part;
step two, calculating a recursion value according to the recursion equation of the control point through the basic function table;
step three, determining a corresponding curve of the recursion value through a B spline curve calculation formula;
and step four, obtaining the design appearance of the processing cavity according to the plurality of corresponding curves.
Further, the processed part is scanned in three dimensions, and each point on the outer surface of the processed part is obtained and used as a control point.
Further, the recursive equation is:
wherein t is the specific gravity value between control points, knot represents a node, knotiRepresenting the ith element, B, in the node tablei,deg(t) is the recursion value of the basis function table, and the parameters i and deg represent the number of elements and the order, respectively.
Further, the order is equal to the number of control points-1 needed to generate the value of t.
Further, the node table size is equal to the number of control points + order + 1.
Further, the node table size may be set by a sequential method and a Clamped method.
Further, the current deg order element needs to be obtained by two deg-1 order elements, and so on, gradually returning to zero order.
Further, returning to the zeroth order according to the formula:
that is, in the zeroth order, t is equal to 1 when t is between the ith and i +1 th knot values, and is equal to 0 in other times, which is used to confirm the position of t in the element table.
Further, after the t value is determined, a formula is calculated according to the B spline curve:
where n is the total number of control points, PiIs the ith control point.
Further, C (t) is the product of the weight values of all elements in the deg order in the basis function table and the coordinates of the control points at the corresponding positions, i.e. B0,deg(t)P0，B1,deg(t)P1，……，Bn-1,deg(t)Pn-1And adding the two to obtain a sum.
The invention can intelligently design a processing cavity matched with the processed test piece based on the response curved surface according to the processed test piece, so that the ultrasonic strengthening grinding machine can process a plurality of important materials like a tapered roller bearing except for the cylindrical roller bearing in a hundred percent coverage manner, the convenience of researching other objects except for the cylindrical roller bearing is improved, and the condition that manual design and processing are time-consuming and labor-consuming is avoided.
Drawings
In order to more clearly illustrate the embodiments of the present invention or the technical solutions in the prior art, the drawings used in the description of the embodiments or the prior art will be briefly described below, and it is obvious that the drawings in the following description are some embodiments of the present invention, and other drawings can be obtained by those skilled in the art without creative efforts.
FIG. 1 is a flow chart of the present invention;
Detailed Description
The technical solutions of the present invention will be described clearly and completely with reference to the following embodiments, and it should be understood that the described embodiments are some, but not all, embodiments of the present invention. All other embodiments, which can be derived by a person skilled in the art from the embodiments given herein without making any creative effort, shall fall within the protection scope of the present invention.
In the description of the present invention, it is to be understood that the terms "center", "longitudinal", "lateral", "length", "width", "thickness", "upper", "lower", "front", "rear", "left", "right", "vertical", "horizontal", "top", "bottom", "inner", "outer", "clockwise", "counterclockwise", and the like, indicate orientations and positional relationships based on those shown in the drawings, and are used only for convenience of description and simplicity of description, and do not indicate or imply that the device or element being referred to must have a particular orientation, be constructed and operated in a particular orientation, and thus, should not be considered as limiting the present invention.
Furthermore, the terms "first", "second" and "first" are used for descriptive purposes only and are not to be construed as indicating or implying relative importance or implicitly indicating the number of technical features indicated. Thus, features defined as "first", "second", may explicitly or implicitly include one or more of the described features. In the description of the present invention, "a plurality" means two or more unless specifically defined otherwise. Furthermore, the terms "mounted," "connected," and "connected" are to be construed broadly and may, for example, be fixedly connected, detachably connected, or integrally connected; can be mechanically or electrically connected; they may be connected directly or indirectly through intervening media, or they may be interconnected between two elements. The specific meanings of the above terms in the present invention can be understood in specific cases to those skilled in the art.
Example 1
As shown in fig. 1, a method for intelligently designing a processing cavity of an ultrasonic grinding machine comprises the following steps:
step one, determining a plurality of control points according to the geometric dimension of the machined part.
The processed part, such as a tapered roller bearing or other special-shaped structure part, is scanned into a three-dimensional space by a three-dimensional scanner, and a plurality of points on the scanned processed part are used as control points.
Step two, finding out a recursion value according to the recursion equation of the control point through the basic function table;
the recursive equation for the basis function table is:
where t is the initial value, knot represents a node, knotiRepresenting the ith element, B, in the node tablei,deg(t) is the value of the ith element in the deg order of the basis function table when the input value is t, and the parameters i and deg represent the several elements and the order, respectively.
The order is equal to the number of control points-1 needed to generate the value of t.
The size of the node table is equal to the number of control points plus the order number plus 1, parameters of the node table are set manually, but the parameter setting of the node table in the B spline obeys some rules, and there are two general setting methods: sequential methods and Clamped methods.
The sequential list only needs to be set from 0 to 1 in a linear increasing mode, and the Clamped list needs to set the +1 nodes of the front and rear orders to 0.
The current deg order element needs to be obtained by two deg-1 order elements, the deg-1 order element needs to be obtained … … by deg-2 order elements, and so on, until after recursive deg times, it falls back to 0 order.
The B-spline algorithm specifies that the following formula is used when rolling back to 0 th order:
that is, in order 0, t is equal to 1 when it is between the ith and i +1 th knot values, and is equal to 0 at other times.
In fact, the node table is used for confirming the position of t in the element table, and then, only by finding out the value of the basic function table which can recurse to the position in the deg, the corresponding position of the t value in the B spline curve can be obtained in the subsequent final calculation.
Step three, determining a corresponding curve of the recursion equation through a B spline curve calculation formula according to the numerical value of the recursion equation;
after the t value is determined, according to the B spline curve calculation formula:
where n is the total number of control points, PiIs 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 coordinates of the control points at the corresponding positions, i.e. B0,deg(t)P0，B1,deg(t)P1，……，Bn-1,deg(t)Pn-1And adding the two to obtain a sum.
And step four, obtaining a plurality of corresponding curves to finish the design work, and then producing the machining cavity through an electric spark or a numerical control milling machine.
The invention can intelligently design a processing cavity matched with the processed test piece based on the response curved surface according to the processed test piece, so that the ultrasonic strengthening grinding machine can process a plurality of important materials like a tapered roller bearing except for the cylindrical roller bearing in a hundred percent coverage manner, the convenience of researching other objects except for the cylindrical roller bearing is improved, and the condition that manual design and processing are time-consuming and labor-consuming is avoided.
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 method for intelligently designing a processing cavity of an ultrasonic grinding machine is characterized by comprising the following steps:
determining a plurality of control points according to the geometric dimension of a machined part;
step two, calculating a recursion value according to the recursion equation of the control point through the basic function table;
step three, determining a corresponding curve of the recursion value through a B spline curve calculation formula;
and step four, obtaining the design appearance of the processing cavity according to the plurality of corresponding curves.
2. The method for intelligently designing a processing cavity of an ultrasonic grinding machine according to claim 1, wherein the part to be processed is scanned in three dimensions, and points on the part to be processed are obtained as control points.
3. The method for intelligently designing the processing cavity of the ultrasonic grinding machine according to claim 2, wherein the recursive equation is as follows:
where t is the initial value, knot represents a node, knotiRepresenting the ith element, B, in the node tablei，deg(t) is the value of the ith element in the deg order of the basis function table when the input value is t, and the parameters i and deg represent the several elements and the order, respectively.
4. The method for intelligently designing a processing chamber of an ultrasonic grinding machine according to claim 3, wherein the order is equal to the number of control points-1 required for generating the t value.
5. The method of claim 3, wherein the node table size is equal to the number of control points + order + 1.
6. The method for intelligently designing a processing cavity of an ultrasonic grinding machine according to claim 5, wherein the node table size can be set by a sequential method and a Clamped method.
7. The method for intelligently designing the processing cavity of the ultrasonic grinding machine as claimed in claim 5, wherein the current deg-order element needs to be obtained by two deg-1-order elements, and so on, gradually returning to zero order.
8. The method for intelligently designing the processing cavity of the ultrasonic grinding machine according to claim 7, wherein the step of returning to the zero order is performed according to the following formula:
that is, in the zeroth order, t is equal to 1 when t is between the ith and i +1 th knot values, and is equal to 0 in other times, which is used to confirm the position of t in the element table.
9. The method for intelligently designing a processing cavity of an ultrasonic grinding machine according to claim 8, wherein after the t value is determined, a formula is calculated according to the B-spline curve:
where n is the total number of control points, PiIs the ith control point.
10. The method of claim 9, wherein c (t) is the product of the weight values of all elements in the table of basis functions at the deg order and the coordinates of the corresponding control points, i.e. B0，deg(t)P0，B1，deg(t)P1，……，Bn-1，deg(t)Pn-1And adding the two to obtain a sum.
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN202210202359.1A CN114406809B (en) | 2022-03-03 | 2022-03-03 | Method for intelligently designing machining cavity of ultrasonic grinding machine |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN202210202359.1A CN114406809B (en) | 2022-03-03 | 2022-03-03 | Method for intelligently designing machining cavity of ultrasonic grinding machine |
Publications (2)
| Publication Number | Publication Date |
|---|---|
| CN114406809A true CN114406809A (en) | 2022-04-29 |
| CN114406809B CN114406809B (en) | 2022-11-22 |
Family
ID=81263487
Family Applications (1)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| CN202210202359.1A Active CN114406809B (en) | 2022-03-03 | 2022-03-03 | Method for intelligently designing machining cavity of ultrasonic grinding machine |
Country Status (1)
| Country | Link |
|---|---|
| CN (1) | CN114406809B (en) |
Cited By (1)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN115081136A (en) * | 2022-06-20 | 2022-09-20 | 广州大学 | Design method and device for grinder bearing steel clamp and storage medium |
Citations (4)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| US20110190922A1 (en) * | 2007-08-24 | 2011-08-04 | Zeeko Limited | Computer controlled work tool apparatus and method |
| US20210331287A1 (en) * | 2020-04-22 | 2021-10-28 | Industrial Technology Research Institute | Grinding and polishing simulation method and system and grinding and polishing process transferring method |
| CN113728358A (en) * | 2019-04-26 | 2021-11-30 | 蒂阿马公司 | Method and installation for the on-line dimensional control of manufactured objects |
| US20220004682A1 (en) * | 2020-06-26 | 2022-01-06 | Autodesk, Inc. | Generative design shape optimization with controlled convergence for computer aided design and manufacturing |
-
2022
- 2022-03-03 CN CN202210202359.1A patent/CN114406809B/en active Active
Patent Citations (4)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| US20110190922A1 (en) * | 2007-08-24 | 2011-08-04 | Zeeko Limited | Computer controlled work tool apparatus and method |
| CN113728358A (en) * | 2019-04-26 | 2021-11-30 | 蒂阿马公司 | Method and installation for the on-line dimensional control of manufactured objects |
| US20210331287A1 (en) * | 2020-04-22 | 2021-10-28 | Industrial Technology Research Institute | Grinding and polishing simulation method and system and grinding and polishing process transferring method |
| US20220004682A1 (en) * | 2020-06-26 | 2022-01-06 | Autodesk, Inc. | Generative design shape optimization with controlled convergence for computer aided design and manufacturing |
Non-Patent Citations (1)
| Title |
|---|
| 陶建华等: "强化研磨加工最佳工艺参数的实验研究", 《工具技术》 * |
Cited By (1)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN115081136A (en) * | 2022-06-20 | 2022-09-20 | 广州大学 | Design method and device for grinder bearing steel clamp and storage medium |
Also Published As
| Publication number | Publication date |
|---|---|
| CN114406809B (en) | 2022-11-22 |
Similar Documents
| Publication | Publication Date | Title |
|---|---|---|
| CN108803487B (en) | Point position contour error prediction method for side milling surface of part | |
| CN110069041B (en) | Workpiece machining method and system based on-machine measurement | |
| CN104867136B (en) | A kind of workpiece point cloud matching algorithm minimum based on distance variance | |
| Sikder et al. | Global adaptive slicing of NURBS based sculptured surface for minimum texture error in rapid prototyping | |
| CN114406809B (en) | Method for intelligently designing machining cavity of ultrasonic grinding machine | |
| CN109828535B (en) | NURBS curve interpolation method based on fourth-order Runge-Kutta algorithm | |
| CN113276130B (en) | Free-form surface spraying path planning method and system based on point cloud slice | |
| CN112884081B (en) | On-line intelligent predicting method for quality of workpieces produced in small batches of multiple varieties | |
| CN110688709A (en) | Workpiece point cloud model-based skin process model correction method | |
| CN114972387B (en) | Three-dimensional actual measurement-based mould deformation repairing method and system in composite material forming process | |
| CN115455588A (en) | Turbine blade precision casting mold surface reversible deformation design method | |
| CN105643030B (en) | A kind of feed speed preprocessor design method for multi-shaft interlocked electrical discharge machining | |
| Zhang et al. | 3D curvature grinding path planning based on point cloud data | |
| Riensche et al. | Application of hybrid laser powder bed fusion additive manufacturing to microwave radio frequency quarter wave cavity resonators | |
| CN117251946A (en) | Free-form surface polishing residence time calculation method and system for NURBS (non-uniform rational B-spline) surface fairing regulation | |
| CN116974241B (en) | Geometric optimization method and device for numerical control machine tool for green low-carbon manufacturing | |
| CN115933524B (en) | Five-axis side milling cutter position planning method based on contact position optimization of three-point bias model | |
| CN1605961A (en) | Direct numerical control processing method based on measuring data points | |
| Sikder et al. | Control of NURBS-based surface error factor using a manufacturing cost optimization in rapid prototyping process | |
| CN112650144B (en) | Assembly method and device for hot forming part without repairing | |
| Padhye et al. | Evolutionary multi-objective optimization and decision making for selective laser sintering | |
| Enzi et al. | Optimization of process parameters applied to a prototype selective laser sintering system | |
| CN114055253B (en) | Process characteristic measurement construction and processing method for large complex surface part | |
| Rouhani et al. | A fast accurate implicit polynomial fitting approach | |
| CN111687685B (en) | Variable-depth chamfering processing method for magnetic pole side edge of spiral fan |
Legal Events
| Date | Code | Title | Description |
|---|---|---|---|
| PB01 | Publication | ||
| PB01 | Publication | ||
| SE01 | Entry into force of request for substantive examination | ||
| SE01 | Entry into force of request for substantive examination | ||
| GR01 | Patent grant | ||
| GR01 | Patent grant |