CN112264842B - Constant linear velocity grinding method based on polar coordinate glass edge grinding machine - Google Patents

Constant linear velocity grinding method based on polar coordinate glass edge grinding machine Download PDF

Info

Publication number
CN112264842B
CN112264842B CN202011176034.8A CN202011176034A CN112264842B CN 112264842 B CN112264842 B CN 112264842B CN 202011176034 A CN202011176034 A CN 202011176034A CN 112264842 B CN112264842 B CN 112264842B
Authority
CN
China
Prior art keywords
point
workpiece
grinding
edge
glass
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.)
Active
Application number
CN202011176034.8A
Other languages
Chinese (zh)
Other versions
CN112264842A (en
Inventor
陈剑雄
余林康
潘文斌
张辉
Current Assignee (The listed assignees may be inaccurate. Google has not performed a legal analysis and makes no representation or warranty as to the accuracy of the list.)
Fuzhou University
Original Assignee
Fuzhou University
Priority date (The priority date 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 date listed.)
Filing date
Publication date
Application filed by Fuzhou University filed Critical Fuzhou University
Priority to CN202011176034.8A priority Critical patent/CN112264842B/en
Publication of CN112264842A publication Critical patent/CN112264842A/en
Application granted granted Critical
Publication of CN112264842B publication Critical patent/CN112264842B/en
Active legal-status Critical Current
Anticipated expiration legal-status Critical

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
    • 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
    • B24B49/00—Measuring or gauging equipment for controlling the feed movement of the grinding tool or work; Arrangements of indicating or measuring equipment, e.g. for indicating the start of the grinding operation
    • B24B49/12—Measuring or gauging equipment for controlling the feed movement of the grinding tool or work; Arrangements of indicating or measuring equipment, e.g. for indicating the start of the grinding operation involving optical means
    • 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
    • B24B51/00—Arrangements for automatic control of a series of individual steps in grinding a workpiece
    • 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
    • B24B9/00—Machines or devices designed for grinding edges or bevels on work or for removing burrs; Accessories therefor
    • B24B9/02—Machines or devices designed for grinding edges or bevels on work or for removing burrs; Accessories therefor characterised by a special design with respect to properties of materials specific to articles to be ground
    • B24B9/06—Machines or devices designed for grinding edges or bevels on work or for removing burrs; Accessories therefor characterised by a special design with respect to properties of materials specific to articles to be ground of non-metallic inorganic material, e.g. stone, ceramics, porcelain
    • B24B9/08—Machines or devices designed for grinding edges or bevels on work or for removing burrs; Accessories therefor characterised by a special design with respect to properties of materials specific to articles to be ground of non-metallic inorganic material, e.g. stone, ceramics, porcelain of glass
    • G—PHYSICS
    • G06—COMPUTING; CALCULATING OR COUNTING
    • G06F—ELECTRIC DIGITAL DATA PROCESSING
    • G06F17/00—Digital computing or data processing equipment or methods, specially adapted for specific functions
    • G06F17/10—Complex mathematical operations

Landscapes

  • Engineering & Computer Science (AREA)
  • Mechanical Engineering (AREA)
  • Physics & Mathematics (AREA)
  • Mathematical Physics (AREA)
  • Data Mining & Analysis (AREA)
  • Theoretical Computer Science (AREA)
  • General Physics & Mathematics (AREA)
  • Mathematical Analysis (AREA)
  • Computational Mathematics (AREA)
  • Algebra (AREA)
  • Inorganic Chemistry (AREA)
  • Mathematical Optimization (AREA)
  • Chemical & Material Sciences (AREA)
  • Pure & Applied Mathematics (AREA)
  • Databases & Information Systems (AREA)
  • Software Systems (AREA)
  • General Engineering & Computer Science (AREA)
  • Ceramic Engineering (AREA)
  • Grinding And Polishing Of Tertiary Curved Surfaces And Surfaces With Complex Shapes (AREA)

Abstract

The invention provides a constant linear velocity grinding processing method based on a polar coordinate glass edge grinding machine, which comprises the use of a control module, a workbench, a grinding wheel and a data acquisition system, wherein the data acquisition system is connected with a grating sensor at the fixed workbench; fixing a workpiece at a workbench, and driving the workpiece to rotate on a C axis at a constant angular speed by the workbench so as to enable a grating displacement sensor to scan the edge of the workpiece; secondly, the data acquisition system acquires the distance between each scanning point on the edge of the workpiece and the grating displacement sensor through the grating displacement sensor and converts the distance into a point coordinate under a polar coordinate system
Figure DEST_PATH_IMAGE002
Forming a scanning point data set for expressing the edge motion track of the workpiece; step three, controlling the rotating speed of the grinding wheel according to the movement track of the edge of the workpiece, and grinding at constant linear speed; the invention adopts the grating displacement sensor to realize the drawing of the special-shaped outline, can realize the processing of the glass blank with any shape, and realizes the constant linear speed cutting of the glass edge grinding machine by the algorithm.

Description

Constant linear velocity grinding method based on polar coordinate glass edge grinding machine
Technical Field
The invention relates to the technical field of glass processing, in particular to a constant linear velocity grinding processing method based on a polar coordinate glass edge grinding machine.
Background
The glass edge grinding machine is one of the most used glass raw processing equipment, and is used for grinding glass by using a grinding wheel to make some glass products with special shapes. At present, glass edge grinding machines can be generally divided into three types: manual edging machine, profiling edging machine and numerical control edging machine. General numerically controlled edge grinding machines can be classified into a polar coordinate type and a rectangular coordinate type. The cutter of the polar coordinate type glass edge grinding machine is generally a grinding wheel, the grinding wheel performs linear cutting motion on an X axis, the processing glass performs rotary motion on a C axis, and the processing is performed through two-axis linkage.
The existing polar coordinate type glass edge grinding machine is mainly processed by the rotation of a workbench, so that strict requirements are firmly imposed on the placing position of a glass blank, the precision of glass processing is influenced by position deviation easily caused by manual clamping, and strict requirements are imposed on the technology of clamping personnel. The common polar coordinate glass edge grinding machine rotates at a constant angular speed, the cutting speed cannot be guaranteed to be constant, and when the cutting speed is too high, the surface roughness of glass is too high, and the rejection rate is increased. There is also a method for achieving constant torque grinding through PID adjustment, and the processing precision of the special-shaped glass cannot be guaranteed due to the difficulty in realizing rapid and timely tracking.
Disclosure of Invention
The invention provides a constant linear velocity grinding processing method based on a polar coordinate glass edge grinding machine, which adopts a grating displacement sensor to realize drawing of a special-shaped outline, can realize processing of a glass blank with any shape, and realizes constant linear velocity cutting of the glass edge grinding machine through an algorithm.
The invention adopts the following technical scheme.
The constant linear velocity grinding processing method based on the polar coordinate glass edge grinding machine can be used for controlling the grinding wheel to grind the edge of a glass blank workpiece, the processing method comprises the use of a control module, a workbench, a grinding wheel and a data acquisition system, the data acquisition system is connected with a grating sensor at the fixed workbench, and the method specifically comprises the following steps;
fixing a glass blank workpiece at a workbench, wherein the detection direction of a grating sensor faces the edge of the workpiece, and the workbench drives the workpiece to rotate on a C axis at a constant angular speed, so that the grating displacement sensor scans the edge of the workpiece;
step two, the data acquisition system obtains the distance between each scanning point of the edge of the workpiece and the grating displacement sensor by reading the data signal of the grating displacement sensor in real time and converts the distance into point coordinates (rho, theta) under a polar coordinate system to form a scanning point data set for expressing the movement track of the edge of the workpiece;
and thirdly, generating a processing code according to the motion track of the edge of the workpiece expressed by the scanning point data set to control the rotating speed of the grinding wheel, and grinding the edge of the workpiece in a rotating state at a constant linear speed.
The grinding wheel is driven by a servo motor, in the third step, the control module processes the motion track of the edge of the workpiece expressed by the scanning point data set, automatically generates a processing code, and controls the servo motor through a motion control card, so that constant linear speed grinding is realized.
The method for processing the workpiece edge motion trail expressed by the scanning point data set by the control module comprises coordinate transformation, curve fitting or dichotomy.
When the control module processes the motion trail of the edge of the workpiece, firstly, the point (rho, theta) on the polar coordinate is converted into the point (X, Y) on the rectangular coordinate system. Preliminarily obtaining a set of points of the outline of the glass
Figure GDA0003293128390000021
And then converting the theoretical contour line into an actual contour line, and enabling the theoretical contour line to be overlapped with the actual contour line.
The method for converting the theoretical contour line into the actual contour line comprises the following steps of;
firstly, let Deltax, Deltay, Deltatheta be the position deviation between the actual contour line and the theoretical contour line, p0Is a point on the theoretical contour line and has the coordinate of (x)0,y0)，p1For points on the actual contour, the coordinates are (x)1,y1) Point (a)x0,y0) Through translation and rotation to point (x)1,y1) The calculation formula is as follows:
Figure GDA0003293128390000022
then with point (x)1,y1) And performing curve fitting to obtain the actual glass profile of the glass blank workpiece, adopting a three-time uniform B-spline curve to ensure the smoothness of the profile during curve fitting, and calculating the corresponding coordinates of any point of the glass profile by using a matrix equation of the B-spline curve after the glass profile is obtained through curve fitting so as to be suitable for the profile data point characteristics of the glass blank workpiece.
Calculating the corresponding coordinates of any point of the glass contour by using a matrix equation of the B spline curve, wherein the method comprises the following steps of;
dividing the contour into tiny line segments by a bisection method, and solving the coordinate of each point; let P0 P1Is any two adjacent points, theta is an included angle of the two points, and sin theta is approximately equal to theta when the angle theta is close to zero; l is the length between two points, LvThe moving length of the grinding point in unit time;
first taking
Figure GDA0003293128390000031
Calculating arc length
Figure GDA0003293128390000032
When in use
Figure GDA0003293128390000033
Get when
Figure GDA0003293128390000034
Perform calculation
Figure GDA0003293128390000035
When in use
Figure GDA0003293128390000036
Get when
Figure GDA0003293128390000037
Perform calculation
Figure GDA0003293128390000038
By analogy, when | Li-LVObtaining polar coordinates (P) when | < epsiloni,θi) And obtaining other point coordinates through the same steps.
In the third step, the grinding wheel makes linear cutting motion on an X axis, the glass outline is divided equally through a bisection method to obtain an equant point set, so that a motion track point set of the rotation center of the grinding wheel is obtained through derivation, and the points are processed to realize constant linear speed control; the method comprises the steps of setting R as the radius of a grinding wheel, setting O as the rotation center of a workbench and setting O as the rotation center of the workbench1 O2Is the rotation center of the grinding wheel, delta is the angle of the grinding point rotating relative to the rotation center of the working table, and theta is O2The angle of rotation relative to the rotation center of the workbench;
the polar coordinates of the outline of the glass blank workpiece are expressed by (rho, delta), the polar coordinates are converted into rectangular coordinates, X is rho cos (delta), and the slope of the point A is rhosin (theta)
Figure GDA0003293128390000039
O2Can be expressed as:
Figure GDA00032931283900000310
s is the moving distance of X axis, theta is the rotating angle of C axis, and the point (X) on rectangular coordinate1,Y1) Converted to a point (S, θ) on polar coordinates.
Figure GDA0003293128390000041
And finally, obtaining a point set of the motion of the rotation center of the grinding wheel, processing the point set to automatically generate a processing code, and controlling the servo motor through a motion control card to realize constant linear speed control.
The grinding processing method is used for a glass edging machine tool, the coordinate axes of the operation action of the machine tool comprise a C axis for rotation action, an X axis for linear action and a Z axis for linear action, the machine tool grinds the edge of a glass blank workpiece in linkage with the action of the X axis and the C axis, and the appearance profile of the blank is measured through a grating displacement sensor.
And grinding the chamfer of the edge of the glass blank workpiece by the machine tool through the action of the Z axis.
The invention realizes the constant linear speed grinding of the glass edge grinding machine, adopts the grating displacement sensor to obtain the glass profile and the current position through measurement, and can realize the processing of glass blanks in any shapes. The adopted positioning mode realizes the coincidence of the theoretical contour line and the actual contour line, greatly improves the processing precision, has the characteristics of reliability, accuracy and easy realization, and meets the requirement of constant linear speed grinding of the glass edge grinding machine.
The invention adopts the grating displacement sensor to realize the drawing of the special-shaped outline and can realize the processing of the glass blank with any shape; meanwhile, coordinate transformation is adopted, and the influence of position deviation caused by manual clamping on the machining precision can be avoided.
Compared with the prior art, the invention has the following advantages
(1) The shape and the position of the processed glass blank are unknown, and the processing of the glass blank with any shape can be realized by adopting a grating displacement sensor to obtain the glass profile and the current position through measurement.
(2) The coordinate transformation is adopted to realize the coincidence of the theoretical contour line and the actual contour line, and the processing precision is greatly improved.
(3) The surface roughness is ensured by processing the track of the glass blank, the algorithm has the characteristics of reliability, accuracy and easiness in realization, and the constant linear speed grinding of the edge grinding machine is met.
Drawings
The invention is described in further detail below with reference to the following figures and detailed description:
FIG. 1 is a schematic coordinate diagram of a point (ρ, θ) on polar coordinates acquired by a data acquisition system;
FIG. 2 is a schematic diagram of a point (ρ, θ) in polar coordinates being transformed into a point (X, Y) in a rectangular coordinate system;
FIG. 3 is a schematic diagram of the positional deviation of the actual contour line from the theoretical contour line;
FIG. 4 is a schematic representation of a glass blank workpiece profile after curve fitting;
FIG. 5 is a schematic diagram of solving point coordinates on a glass blank workpiece profile by dichotomy;
FIG. 6 is a schematic diagram of deriving a motion track point of the grinding wheel center of rotation;
in the figure: 1-glass blank workpiece; 2-grinding wheel.
Detailed Description
As shown in the figure, the constant linear velocity grinding processing method based on the polar coordinate glass edge grinding machine can be used for controlling the grinding wheel 2 to grind the edge of a glass blank workpiece 1, the processing method comprises the use of a control module, a workbench, a grinding wheel and a data acquisition system, the data acquisition system is connected with a grating sensor at the fixed workbench, and the method specifically comprises the following steps;
fixing a glass blank workpiece at a workbench, wherein the detection direction of a grating sensor faces the edge of the workpiece, and the workbench drives the workpiece to rotate on a C axis at a constant angular speed, so that the grating displacement sensor scans the edge of the workpiece;
step two, the data acquisition system obtains the distance between each scanning point of the edge of the workpiece and the grating displacement sensor by reading the data signal of the grating displacement sensor in real time and converts the distance into point coordinates (rho, theta) under a polar coordinate system to form a scanning point data set for expressing the movement track of the edge of the workpiece;
and thirdly, generating a processing code according to the motion track of the edge of the workpiece expressed by the scanning point data set to control the rotating speed of the grinding wheel, and grinding the edge of the workpiece in a rotating state at a constant linear speed.
The grinding wheel is driven by a servo motor, in the third step, the control module processes the motion track of the edge of the workpiece expressed by the scanning point data set, automatically generates a processing code, and controls the servo motor through a motion control card, so that constant linear speed grinding is realized.
The method for processing the workpiece edge motion trail expressed by the scanning point data set by the control module comprises coordinate transformation, curve fitting or dichotomy.
When the control module processes the motion trail of the edge of the workpiece, firstly, the point (rho, theta) on the polar coordinate is converted into the point (X, Y) on the rectangular coordinate system. Preliminarily obtaining a set of points of the outline of the glass
Figure GDA0003293128390000051
And then converting the theoretical contour line into an actual contour line, and enabling the theoretical contour line to be overlapped with the actual contour line.
The method for converting the theoretical contour line into the actual contour line comprises the following steps of;
firstly, let Deltax, Deltay, Deltatheta be the position deviation between the actual contour line and the theoretical contour line, p0Is a point on the theoretical contour line and has the coordinate of (x)0,y0)p1For points on the actual contour, the coordinates are (x)1,y1) Point (x)0,y0) Through translation and rotation to point (x)1,y1) The calculation formula is as follows:
Figure GDA0003293128390000061
then with point (x)1,y1) And performing curve fitting to obtain the actual glass profile of the glass blank workpiece, adopting a three-time uniform B-spline curve to ensure the smoothness of the profile during curve fitting, and calculating the corresponding coordinates of any point of the glass profile by using a matrix equation of the B-spline curve after the glass profile is obtained through curve fitting so as to be suitable for the profile data point characteristics of the glass blank workpiece.
Calculating the corresponding coordinates of any point of the glass contour by using a matrix equation of the B spline curve, wherein the method comprises the following steps of;
dividing the contour into tiny line segments by a bisection method, and solving the coordinate of each point; let P0 P1Is any two adjacent points, theta is an included angle of the two points, and sin theta is approximately equal to theta when the angle theta is close to zero; l is the length between two points, LvThe moving length of the grinding point in unit time;
first taking
Figure GDA0003293128390000062
Calculating arc length
Figure GDA0003293128390000063
When in use
Figure GDA0003293128390000064
Get when
Figure GDA0003293128390000065
Perform calculation
Figure GDA0003293128390000066
When in use
Figure GDA0003293128390000067
Get when
Figure GDA0003293128390000068
Perform calculation
Figure GDA0003293128390000069
By analogy, when | Li-LVObtaining polar coordinates (P) when | < epsiloni,θi) And obtaining other point coordinates through the same steps.
In the third step, the grinding wheel makes linear cutting motion on the X axis, the glass contour is equally divided through a dichotomy to obtain an equal division point set, so that a motion track point set of the rotation center of the grinding wheel is obtained through derivation, and points are processed to realize constant lineControlling the speed; the method comprises the steps of setting R as the radius of a grinding wheel, setting O as the rotation center of a workbench and setting O as the rotation center of the workbench1 O2Is the rotation center of the grinding wheel, delta is the angle of the grinding point rotating relative to the rotation center of the working table, and theta is O2The angle of rotation relative to the rotation center of the workbench;
the polar coordinates of the outline of the glass blank workpiece are expressed by (rho, delta), the polar coordinates are converted into rectangular coordinates, X is rho cos (delta), and the slope of the point A is rhosin (theta)
Figure GDA0003293128390000071
O2Can be expressed as:
Figure GDA0003293128390000072
s is the moving distance of X axis, theta is the rotating angle of C axis, and the point (X) on rectangular coordinate1,Y1) Converted to a point (S, θ) on polar coordinates.
Figure GDA0003293128390000073
And finally, obtaining a point set of the motion of the rotation center of the grinding wheel, processing the point set to automatically generate a processing code, and controlling the servo motor through a motion control card to realize constant linear speed control.
The grinding processing method is used for a glass edging machine tool, the coordinate axes of the operation action of the machine tool comprise a C axis for rotation action, an X axis for linear action and a Z axis for linear action, the machine tool grinds the edge of a glass blank workpiece in linkage with the action of the X axis and the C axis, and the appearance profile of the blank is measured through a grating displacement sensor.
And grinding the chamfer of the edge of the glass blank workpiece by the machine tool through the action of the Z axis.
Example (b):
the present example is a processing method based on constant linear speed grinding of a polar coordinate glass edge grinding machine, a machine tool using the method has three axes, namely a rotating C axis and two linear axes, namely an X axis and a Z axis, the grinding of glass is mainly completed through linkage of the X axis and the C axis, and the Z axis can be used for grinding chamfers. And measuring the outline of the blank by using a grating displacement sensor to obtain points under a polar coordinate, and converting the coordinate into a rectangular coordinate by using a polar. And acquiring a basic contour point set of the blank, wherein the theoretical contour line has deviation with the actual contour line, the theoretical contour line is superposed with the actual contour line through translation and rotation, and the contour line is obtained by adopting curve fitting. A contour line is divided into identical line segments by a bisection method, coordinates of points are obtained, points corresponding to the rotation center of the grinding wheel are deduced, the points are converted into linear motion of an X axis and rotary motion of a C axis, a machining program is automatically generated, and a motion control card is adopted to control a servo motor to realize constant linear speed control.

Claims (5)

1. The constant linear velocity grinding method based on the polar coordinate glass edge grinding machine can be used for controlling the grinding wheel to grind the edge of a glass blank workpiece, and is characterized in that: the processing method comprises the use of a control module, a workbench, a grinding wheel and a data acquisition system, wherein the data acquisition system is connected with a grating sensor at the fixed workbench, and the processing method specifically comprises the following steps;
fixing a glass blank workpiece at a workbench, wherein the detection direction of a grating sensor faces the edge of the workpiece, and the workbench drives the workpiece to rotate on a C axis at a constant angular speed, so that the grating displacement sensor scans the edge of the workpiece;
step two, the data acquisition system obtains the distance between each scanning point of the edge of the workpiece and the grating displacement sensor by reading the data signal of the grating displacement sensor in real time and converts the distance into point coordinates (rho, theta) under a polar coordinate system to form a scanning point data set for expressing the movement track of the edge of the workpiece;
generating a processing code according to the motion track of the edge of the workpiece expressed by the scanning point data set to control the rotating speed of the grinding wheel, and grinding the edge of the workpiece in a rotating state at a constant linear speed;
the grinding wheel is driven by a servo motor, in the third step, the control module processes the motion trail of the edge of the workpiece expressed by the scanning point data set, automatically generates a processing code, and controls the servo motor through a motion control card, so that constant linear speed grinding is realized;
when the control module processes the movement track of the edge of the workpiece, firstly converting the point (rho, theta) on the polar coordinate into the point (X, Y) on the rectangular coordinate system, and preliminarily obtaining a point set of the outline of the glass
Figure FDA0003293128380000011
Then converting the theoretical contour line into an actual contour line, and enabling the theoretical contour line to be overlapped with the actual contour line;
the method for converting the theoretical contour line into the actual contour line comprises the following steps of;
firstly, let Deltax, Deltay, Deltatheta be the position deviation between the actual contour line and the theoretical contour line, p0Is a point on the theoretical contour line and has the coordinate of (x)0,y0)，p1For points on the actual contour, the coordinates are (x)1,y1) Point (x)0,y0) Through translation and rotation to point (x)1,y1) The calculation formula is as follows:
Figure FDA0003293128380000021
then with point (x)1,y1) Performing curve fitting to obtain the actual glass profile of the glass blank workpiece, adopting a three-time uniform B-spline curve to ensure the smoothness of the profile during curve fitting, and calculating the corresponding coordinates of any point of the glass profile by using a matrix equation of the B-spline curve after the glass profile is obtained through curve fitting according to the profile data point characteristics of the glass blank workpiece;
calculating the corresponding coordinates of any point of the glass contour by using a matrix equation of the B spline curve, wherein the method comprises the following steps of; dividing the contour into tiny line segments by a bisection method, and solving the coordinate of each point; let P0 P1Is any two points which are adjacent to each other,theta is an included angle of the two points, and sin theta is approximately equal to theta when the angle theta is close to zero; l is the length between two points, LvThe moving length of the grinding point in unit time;
first taking
Figure FDA0003293128380000022
Calculating arc length
Figure FDA0003293128380000023
When in use
Figure FDA0003293128380000024
Get when
Figure FDA0003293128380000025
Perform calculation
Figure FDA0003293128380000026
When in use
Figure FDA0003293128380000027
Get when
Figure FDA0003293128380000028
Perform calculation
Figure FDA0003293128380000029
By analogy, when | Li-LVObtaining polar coordinates (P) when | < epsiloni,θi) And obtaining other point coordinates through the same steps.
2. The constant linear velocity grinding method based on a polar glass edging machine according to claim 1, characterized in that: the method for processing the workpiece edge motion trail expressed by the scanning point data set by the control module comprises coordinate transformation, curve fitting or dichotomy.
3. The constant linear velocity grinding method based on a polar glass edging machine according to claim 1, characterized in that: in the third step, the grinding wheel makes linear cutting motion on an X axis, the glass outline is divided equally through a bisection method to obtain an equant point set, so that a motion track point set of the rotation center of the grinding wheel is obtained through derivation, and the points are processed to realize constant linear speed control; the method comprises the steps of setting R as the radius of a grinding wheel, setting O as the rotation center of a workbench and setting O as the rotation center of the workbench1 O2Is the rotation center of the grinding wheel, delta is the angle of the grinding point rotating relative to the rotation center of the working table, and theta is O2The angle of rotation relative to the rotation center of the workbench;
the polar coordinates of the outline of the glass blank workpiece are expressed by (rho, delta), the polar coordinates are converted into rectangular coordinates X ═ rhocos (delta), and the slope of the point A of Y ═ rhosin (theta) is
Figure FDA0003293128380000031
O2Is expressed as:
Figure FDA0003293128380000032
s is the moving distance of X axis, theta is the rotating angle of C axis, and the point (X) on rectangular coordinate1,Y1) Converting into a point (S, theta) on polar coordinates;
Figure FDA0003293128380000033
and finally, obtaining a point set of the motion of the rotation center of the grinding wheel, processing the point set to automatically generate a processing code, and controlling the servo motor through a motion control card to realize constant linear speed control.
4. The constant linear velocity grinding method based on a polar glass edging machine according to claim 3, characterized in that: the grinding processing method is used for a glass edging machine tool, the coordinate axes of the operation action of the machine tool comprise a C axis for rotation action, an X axis for linear action and a Z axis for linear action, the machine tool grinds the edge of a glass blank workpiece in linkage with the action of the X axis and the C axis, and the appearance profile of the blank is measured through a grating displacement sensor.
5. The constant linear velocity grinding method based on a polar glass edging machine according to claim 4, characterized in that: and grinding the chamfer of the edge of the glass blank workpiece by the machine tool through the action of the Z axis.
CN202011176034.8A 2020-10-28 2020-10-28 Constant linear velocity grinding method based on polar coordinate glass edge grinding machine Active CN112264842B (en)

Priority Applications (1)

Application Number Priority Date Filing Date Title
CN202011176034.8A CN112264842B (en) 2020-10-28 2020-10-28 Constant linear velocity grinding method based on polar coordinate glass edge grinding machine

Applications Claiming Priority (1)

Application Number Priority Date Filing Date Title
CN202011176034.8A CN112264842B (en) 2020-10-28 2020-10-28 Constant linear velocity grinding method based on polar coordinate glass edge grinding machine

Publications (2)

Publication Number Publication Date
CN112264842A CN112264842A (en) 2021-01-26
CN112264842B true CN112264842B (en) 2022-03-11

Family

ID=74344904

Family Applications (1)

Application Number Title Priority Date Filing Date
CN202011176034.8A Active CN112264842B (en) 2020-10-28 2020-10-28 Constant linear velocity grinding method based on polar coordinate glass edge grinding machine

Country Status (1)

Country Link
CN (1) CN112264842B (en)

Families Citing this family (4)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN113910021B (en) * 2021-10-27 2024-02-23 上海铼钠克数控科技有限公司 Special-shaped excircle grinding method and system
CN114460900B (en) * 2021-12-24 2023-02-10 泉州华中科技大学智能制造研究院 Method and device for processing special-shaped curved glass profile
CN114357549A (en) * 2021-12-30 2022-04-15 华南理工大学 Arc surface glass cutting method based on coordinate transformation
CN114434266A (en) * 2022-04-11 2022-05-06 天津仁爱学院 Grinding and finishing device and method for coating of low-pressure turbine casing of engine

Citations (12)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US3970830A (en) * 1974-06-24 1976-07-20 Cone-Blanchard Machine Company Computer controlled machine tool contouring system
CN2190534Y (en) * 1993-12-22 1995-03-01 吴加林 Internal grinder grinding wheel constant linear velocity automatic control device
CN201309112Y (en) * 2008-09-19 2009-09-16 深圳华中数控有限公司 Glass edging machine
CN102765034A (en) * 2012-07-18 2012-11-07 浙江大学 Multi-grinding-unit multi-working-procedure parallel constant linear velocity grinding method and grinding device
CN103659600A (en) * 2013-12-09 2014-03-26 上海机床厂有限公司 Planar special-shaped non-circular grinding contouring control method
CN104889888A (en) * 2015-05-21 2015-09-09 新乡学院 Grinding wheel constant linear speed control system and method
CN105549545A (en) * 2016-02-19 2016-05-04 泉州华中科技大学智能制造研究院 Control algorithm based on constant-linear speed grinding of edge grinding machine
CN106825786A (en) * 2017-02-23 2017-06-13 南京工大数控科技有限公司 Large gantry polar-coordinate digital-control gear compound chamfers lathe
CN108081066A (en) * 2017-12-14 2018-05-29 浙江理工大学 Glass lace method for grinding
CN108942538A (en) * 2018-09-17 2018-12-07 苏州市海研电子科技有限公司 A kind of constant linear velocity grinder for polishing
CN109333165A (en) * 2018-09-25 2019-02-15 杭州电子科技大学 A kind of grinding method of the non-circular bend glass ornaments based on point cloud data description
CN111558785A (en) * 2020-07-14 2020-08-21 武汉华工激光工程有限责任公司 Method for processing three-dimensional contour of transparent material

Family Cites Families (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
WO2016115203A1 (en) * 2015-01-13 2016-07-21 Massachusetts Institute Of Technology Circular scanning technique for large area inspection

Patent Citations (12)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US3970830A (en) * 1974-06-24 1976-07-20 Cone-Blanchard Machine Company Computer controlled machine tool contouring system
CN2190534Y (en) * 1993-12-22 1995-03-01 吴加林 Internal grinder grinding wheel constant linear velocity automatic control device
CN201309112Y (en) * 2008-09-19 2009-09-16 深圳华中数控有限公司 Glass edging machine
CN102765034A (en) * 2012-07-18 2012-11-07 浙江大学 Multi-grinding-unit multi-working-procedure parallel constant linear velocity grinding method and grinding device
CN103659600A (en) * 2013-12-09 2014-03-26 上海机床厂有限公司 Planar special-shaped non-circular grinding contouring control method
CN104889888A (en) * 2015-05-21 2015-09-09 新乡学院 Grinding wheel constant linear speed control system and method
CN105549545A (en) * 2016-02-19 2016-05-04 泉州华中科技大学智能制造研究院 Control algorithm based on constant-linear speed grinding of edge grinding machine
CN106825786A (en) * 2017-02-23 2017-06-13 南京工大数控科技有限公司 Large gantry polar-coordinate digital-control gear compound chamfers lathe
CN108081066A (en) * 2017-12-14 2018-05-29 浙江理工大学 Glass lace method for grinding
CN108942538A (en) * 2018-09-17 2018-12-07 苏州市海研电子科技有限公司 A kind of constant linear velocity grinder for polishing
CN109333165A (en) * 2018-09-25 2019-02-15 杭州电子科技大学 A kind of grinding method of the non-circular bend glass ornaments based on point cloud data description
CN111558785A (en) * 2020-07-14 2020-08-21 武汉华工激光工程有限责任公司 Method for processing three-dimensional contour of transparent material

Non-Patent Citations (1)

* Cited by examiner, † Cited by third party
Title
全自动异形玻璃磨边机3M集成数控系统的研究;张洁等;《现代制造工程》;20080118(第01期);正文第54-71页 *

Also Published As

Publication number Publication date
CN112264842A (en) 2021-01-26

Similar Documents

Publication Publication Date Title
CN112264842B (en) Constant linear velocity grinding method based on polar coordinate glass edge grinding machine
US8522654B2 (en) Cutting-edge position detecting method and cutting-edge position detecting apparatus
CN102069419B (en) Ultraprecise free-form surface turning method of actively counteracting errors
CN100404201C (en) Control method of digitized precise curved grinding
CN107253102A (en) A kind of precision grinding machining method of special-shaped thin wall labyrinth workpiece
CN1856386A (en) Grinding machine with a concentricity correction system
CN103144034A (en) Control method for planar conjugate cam contour detecting and grinding device
CN113518690B (en) Cutting device and contact position determination program
CN101434053B (en) Automatic positioning of cam non-circular grinding and on-line measurement method and apparatus
CN109375580A (en) A kind of geometric error recognition methods of the five-axis machine tool yaw based on double ball bars
CN103176428A (en) CNC (computerized numerical control) system interpolating algorithm based on spherical coordinates and device for realizing same
CN102729104A (en) Gear grinding machine capable of precisely machining semi-topping slotting cutter
CN116551048A (en) Geometric self-adaptive machining equipment and method
CN103522348A (en) Tool setting method, proper circle processing method and Fresnel lens processing method
CN103158067A (en) Plane conjugate cam contour detecting and abrasive machining device
CN109333165B (en) A kind of grinding method of the non-circular bend glass ornaments based on point cloud data description
JPH0253557A (en) Method and device for working non-spherical body
CN109227241B (en) Swing type eccentric inner circle linkage grinding method
CN109093516B (en) Workpiece grinding control method, control device, workpiece grinding system and terminal
CN107942930B (en) Method for bevel edge machining based on five-axis numerical control system
CN116164663A (en) Rail type robot measuring equipment for switch tongue profile and three-dimensional model reconstruction method thereof
JP7074381B2 (en) Cutting equipment
JP5296509B2 (en) Grinding method and grinding apparatus
CN102079059B (en) Method for realizing curved surface machining by means of track of closed controllable space mechanism connecting rod
CN110293471A (en) The processing method of a kind of curve surface work pieces and for the equipment in this method

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