CN108081035B - Glass gradual change bevel edge method for grinding - Google Patents

Glass gradual change bevel edge method for grinding Download PDF

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Publication number
CN108081035B
CN108081035B CN201711343928.XA CN201711343928A CN108081035B CN 108081035 B CN108081035 B CN 108081035B CN 201711343928 A CN201711343928 A CN 201711343928A CN 108081035 B CN108081035 B CN 108081035B
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grinding
glass
processed
bevel edge
grinding wheel
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CN108081035A (en
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任锟
蒋丹燕
陈文华
张彧萌
潘宇嘉
潘骏
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Hangzhou Di Di Machinery Co Ltd
Zhejiang Sci Tech University ZSTU
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Hangzhou Di Di Machinery Co Ltd
Zhejiang Sci Tech University ZSTU
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    • BPERFORMING OPERATIONS; TRANSPORTING
    • B24GRINDING; POLISHING
    • B24BMACHINES, DEVICES, OR PROCESSES FOR GRINDING OR POLISHING; DRESSING OR CONDITIONING OF ABRADING SURFACES; FEEDING OF GRINDING, POLISHING, OR LAPPING AGENTS
    • B24B1/00Processes of grinding or polishing; Use of auxiliary equipment in connection with such processes
    • BPERFORMING OPERATIONS; TRANSPORTING
    • B24GRINDING; POLISHING
    • B24BMACHINES, DEVICES, OR PROCESSES FOR GRINDING OR POLISHING; DRESSING OR CONDITIONING OF ABRADING SURFACES; FEEDING OF GRINDING, POLISHING, OR LAPPING AGENTS
    • B24B9/00Machines or devices designed for grinding edges or bevels on work or for removing burrs; Accessories therefor
    • B24B9/02Machines 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
    • B24B9/06Machines 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
    • B24B9/08Machines 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

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  • Engineering & Computer Science (AREA)
  • Mechanical Engineering (AREA)
  • Chemical & Material Sciences (AREA)
  • Ceramic Engineering (AREA)
  • Inorganic Chemistry (AREA)
  • Grinding And Polishing Of Tertiary Curved Surfaces And Surfaces With Complex Shapes (AREA)

Abstract

The present invention provides a kind of glass gradual change bevel edge method for grinding, are related to glass grinding technical field, can not be ground Trapezoidal bevel edge to solve existing process equipment, and product form is single, the lower problem of added value of product and design.It is related to a kind of glass gradual change bevel edge method for grinding, comprising the following steps: three-point fix;Determine the preliminary working position of glass to be processed;C1, X, Y, C2 numerical control axis of glass edging equipment return to zero;Judge the attribute on the side to be processed of glass to be processed;Determine that side to be processed is the machining path of spline curve;It determines the grinding starting point on side to be processed and is ground terminal point coordinate and corresponding width and depth;Determine the tool setting position of grinding wheel;Coordinate of the gradual change bevel edge in C1, X, Y, C2 numerical control axis of glass contours to be processed is calculated, and inputs numerically-controlled machine tool;Determine the grinding inclination angle of grinding wheel.The glass gradual change bevel edge method for grinding can be ground Trapezoidal bevel edge, enrich product form processing, added value is higher.

Description

Glass gradual change bevel edge method for grinding
Technical field
The present invention relates to glass grinding technical fields, more particularly, to a kind of glass gradual change bevel edge method for grinding.
Background technique
With the continuous improvement of people's quality of the life, various shapes, the smooth of the edge, practical function personalized special-shaped glass The demand of product greatly increases.Currently, it is processed for glass bevel edge, the method that the country mainly uses has pure manual work and base In two kinds of semi-automatic edger unit operation.Semiautomatic equipment is mainly angle cutter, and processing object is the glass of regular shape.
However, the semi-automatic glass bevel grinding side production equipment purposes of domestic enterprise is single, have the following disadvantages:
1) bevel edge grinding can only be carried out on straight line and arc profile, and bevel edge mill can not be carried out on spline curve profile It cuts;
2) it can only be ground the bevel edge profile of clean width, Trapezoidal bevel edge cannot be ground, added value of product is lower;
3) artificial participation is high, large labor intensity, and production efficiency is lower.
Summary of the invention
The first object of the present invention is to provide a kind of glass gradual change bevel edge method for grinding, to solve to exist in the prior art Existing process equipment can not be ground Trapezoidal bevel edge, product form is single, the lower technical problem of added value of product.
Glass gradual change bevel edge method for grinding provided by the invention, comprising the following steps:
Glass to be processed is fixed on work top by step 1, three-point fix;
Step 2 determines the preliminary working position of glass to be processed;
C1, X, Y, C2 numerical control axis of step 3, glass edging equipment return to zero;
Step 4 judges the attribute on the side to be processed of glass to be processed;
Step 5 turns to step 7 if side to be processed is straight line or arc profile;If side to be processed is spline curve wheel Exterior feature turns to step 6;
Step 6 determines that side to be processed is the machining path of spline curve;
Step 7 determines the grinding starting point and grinding terminal point coordinate on side to be processed;Determine grinding starting point and grinding terminal point Hypotenuse width;According to hypotenuse width, grinding starting point and the grinding terminal point grinding wheel Z-direction amount of feeding are calculated;
Step 8 determines the tool setting position of grinding wheel;
Step 9, calculates coordinate of the gradual change bevel edge in C1, X, Y, C2 numerical control axis of glass contours to be processed, and inputs numerical control Lathe;
Step 10 determines the grinding inclination angle of grinding wheel;
Step 11 is ground the side to be processed of glass.
Further, side to be processed is spline curve, and the method for determining machining path is based on following algorithm:
Parametric spline curve is indicated are as follows:
Wherein, PiFor control point;RiFor weight factor;U is knot vector;Ni,3It (u) is basic function;
For the spline curve segment data in side to be processed, enabling curvilinear equation is c (u), u ∈ [0,1], calculates step such as Under:
Step 1: setting variable δ=0, accumulates chord length L=0;
Step 2: initial parameter value ui=δ, by uiIt brings curvilinear equation c (u) into, obtains bent on-line parameters uiCorresponding point Pi
Step 3: u is enabledi+1=ui+ Δ u, wherein Δ u is parameter increase value;I=0,1,2 ... .., n;By ui+1Bring curve into Equation c (u) obtains bent on-line parameters ui+1Corresponding point Pi+1;Calculate Pi+1And PiThe distance between two o'clock is simultaneously cumulative by the distance To accumulation chord length, L=L+ is obtained | | Pi+1-Pi||;
Step 4: parameter value δ=u is enabledi+1, step 2 is repeated to step 4, until parameter value ui+1Difference with 1 is less than 0.01, then parameter curve overall length S2=L.
Further, side to be processed is spline curve, the bevel edge grinding method for computing data of spline curve, comprising: The calculation method of any grinding points grinding wheel Z-direction amount of feeding, the calculation method of any grinding points grinding wheel C1 and C2 axial coordinate and any The calculation method of the grinding points grinding wheel X-axis amount of feeding.
Further, the calculation method of any grinding points grinding wheel Z-direction amount of feeding is as follows: setting spline curve DA as grinding pair As D (xD, yD) it is grinding starting point, A is grinding terminal, and the length of spline curve is S2, giving the hypotenuse width at D point is wD, A Hypotenuse width at point is wA;The grinding wheel Z-direction amount of feeding at D point is calculated, is set as hD;Grinding wheel Z-direction at A point is calculated to feed Amount, is set as hA;If N (xi, yi) is any point in spline curve, using the method for linear interpolation, the processing calculated at N point is wide Spend wi,
Calculate grinding wheel Z-direction amount of feeding h at N pointi,
hi=[hD(wi-wD)+hA(wi-wA)]/(wD-wA) formula (12);
By wiNumerical value bring into formula (12), grinding wheel Z-direction amount of feeding h at any grinding points N can be obtainedi, formula (13) are as follows:
The calculation method of any grinding points grinding wheel C1 and C2 axial coordinate is as follows: establishing glass rotation center E and X numerical control axis zero Grinding control line between the O point of position, establishes the rotary alignment control between glass rotation center E and edge profile grinding points N to be processed, Calculate the angle γ between grinding control line and rotary alignment control, i.e., the C1 axial coordinate at any grinding points N of edge profile to be processed Data;To guarantee that wheel grinding direction and edge profile to be processed are tangent at grinding points N, the C2 axis at grinding points N rotates angle Also it is set as γ;
It is as follows in the calculation method of any grinding points grinding wheel X-axis amount of feeding: to establish glass rotation center E and X numerical control axis zero Grinding control line between the O point of position, and the length for measuring the control line is L;It establishes glass rotation center E and is arbitrarily ground with profile Rotary alignment control between point N, and the length for measuring the control line is Li;After C1 rotary shaft drives glass rotation angle γ, mill It cuts control line to be overlapped with the rotary alignment control of grinding points N, grinding wheel is in X to amount of feeding calculation formula are as follows: Δ x=L-Li
Further, side to be processed is straight line, the bevel edge grinding method for computing data of outline of straight line, including arbitrarily grind Cut the calculation method and any grinding points of a calculation method for the grinding wheel Z-direction amount of feeding, any grinding points grinding wheel C1 and C2 axial coordinate The calculation method of the grinding wheel X-axis amount of feeding.
Further, the calculation method of any grinding points grinding wheel Z-direction amount of feeding is as follows: setting straight line AB to be ground object, A (xA, yA) it is grinding starting point, B (xB, yB) it is grinding terminal, straight length is set as S, and giving hypotenuse width at A point is wA, at B point Hypotenuse width is wB;It is h that the grinding wheel Z-direction amount of feeding at A point, which is calculated,A, the grinding wheel Z-direction amount of feeding is h at B pointB;If N (xi, yi) N point working width w is calculated using the method for linear interpolation for any point on straight lineiAre as follows:
Grinding wheel Z-direction amount of feeding hiAre as follows:
hi=[hA(wi-wA)+hB(wi-wB)]/(wA-wB) formula (3);
By wiNumerical value bring into formula (3), any grinding points grinding wheel Z-direction amount of feeding, formula (4) can be acquired are as follows:
The calculation method of any grinding points grinding wheel C1 and C2 axial coordinate is as follows: establishing glass rotation center E and X numerical control axis zero Grinding control line between the O point of position, establishes glass rotation center E and any grinding points N rotary alignment control of edge profile to be processed, counts Calculate the angle [alpha] between grinding control line and rotary alignment control, i.e., the corresponding C1 axial coordinate number of any grinding points N of edge profile to be processed According to;To guarantee that wheel grinding direction and edge profile to be processed are tangent at grinding points, the corresponding C2 axis rotation angle of any grinding points N Degree is also α;
The calculation method of any grinding points N grinding wheel X-axis amount of feeding is as follows: establishing glass rotary middle point E and X numerical control axis zero Grinding control line between the O point of position, and the length for measuring the control line is L0;It establishes glass rotation center E and is arbitrarily ground with profile Point N rotary alignment control is cut, the length of control line is Li;After C1 rotary shaft drives glass rotation angle [alpha], grinding control line and grinding Point rotary alignment control is overlapped, then X of the corresponding grinding wheel at any grinding points N is to amount of feeding calculation formula are as follows: Δ x=L0-Li
Further, side to be processed be arc profile, the bevel edge grinding method for computing data of arc profile, including appoint Calculation method, the calculation method of any grinding points grinding wheel C1 and C2 axial coordinate and any mill of the meaning grinding points grinding wheel Z-direction amount of feeding Cut a calculation method for the grinding wheel X-axis amount of feeding.
Further, the calculation method of any grinding points grinding wheel Z-direction amount of feeding is as follows: setting circular arc C D to be ground object, C (xC, yC) it is grinding starting point, D (xD, yD) it is grinding terminal, circular arc arc length is S1=θ × R, wherein R is arc radius, and θ is circle Arc central angle;Hypotenuse width is set at C point as wC, hypotenuse width is w at D pointD;It calculates and determines the grinding wheel Z-direction amount of feeding at C point, if For hC;The grinding wheel Z-direction amount of feeding, is set as h at D pointD;If N (xi, yi) is any point on circular arc, using the method for linear interpolation, Calculate N point working width wi, formula (6) are as follows:
Calculate grinding wheel Z-direction amount of feeding hi, formula (7) are as follows:
hi=[hC(wi-wC)+hD(wi-wD)]/(wC-wD) formula (7);
By wiValue bring into formula (7), the Z-direction amount of feeding of any grinding points N of profile are as follows:
The calculation method of any grinding points grinding wheel C1 and C2 axial coordinate is as follows: establishing glass rotation center E and X numerical control axis zero Grinding control line between the O point of position, establishes the rotation control between glass rotation center E and any grinding points N of edge profile to be processed Line processed, calculates the angle beta between grinding control line and rotary alignment control, i.e., the C1 axis of any grinding points N of edge profile to be processed is sat Mark data.To guarantee that wheel grinding direction and edge profile to be processed are tangent at grinding points N, C2 axis rotation angle at wide grinding points N Degree coordinate is also set as β;
The calculation method of any grinding points grinding wheel X-axis amount of feeding is as follows: establishing glass rotation center E and X numerical control axis zero-bit O Grinding control line between point, and the length for measuring the control line is L;Establish glass rotation center E and any grinding points N of profile Rotary alignment control, and measure the control line length be Li;After C1 rotary shaft drives glass rotation angle beta, it is ground control line It is overlapped with grinding points rotary alignment control, grinding wheel is in X to amount of feeding calculation formula are as follows: Δ x=L-Li
Further, it is determined that specific step is as follows for relationship between hypotenuse width W and grinding wheel Z-direction feeding depth:
Step 1: grinding wheel rotarily opens;
Step 2: manually controlling grinding wheel and move down feeding, until grinding wheel and the surface of glass edge to be processed are affixed;
Step 3: it manually controls grinding wheel and moves down feeding Δ Z, suspend 1~3 second;
Step 4: grinding wheel is lifted to safe altitude, using vernier caliper measurement glass bevel edge depth W manually;
Step 5: Δ Z and W value are recorded simultaneously;
Step 6: it repeats step 2 to step 5 and amounts to 15~20 times, establish the two-dimentional relation table of Δ Z and W.
Further, the operating procedure of three-point fix are as follows:
Step 1: the profile to be processed for the glass that operator shows according to operation interface chooses non-coplanar three positioning Point;
Step 2: three positioning are calculated in conjunction with locating bar radius according to three selected anchor points in digital control system Stick corresponding three coordinate positions on workbench;
Step 3: digital control system drives tri- numerical control axis of X, Y and C of feeding device, and three locating bars are placed in respectively On workbench;The X and Y-axis of feeding device move to home, and C axis returns to zero;
Step 4: operator according to the positions of three locating bars, put down by the work that glass is placed in feeding device manually On platform.
Glass gradual change bevel edge method for grinding provided by the invention the utility model has the advantages that
The processing method that the glass gradual change bevel edge method for grinding supplements special-shaped glass lace, can not only be in straight line and circular arc Bevel edge grinding is carried out on profile, and bevel edge grinding can be carried out on spline curve profile;By machining instead of a large amount of Artificial participation, improve the degree of automation of glass grinding, greatly reduce the labor intensity of worker, improve production effect Rate;The glass gradual change bevel edge method for grinding can be ground Trapezoidal bevel edge, enrich product form processing, added value is higher.
Detailed description of the invention
It, below will be to specific in order to illustrate more clearly of the specific embodiment of the invention or technical solution in the prior art Embodiment or attached drawing needed to be used in the description of the prior art be briefly described, it should be apparent that, it is described below Attached drawing is some embodiments of the present invention, for those of ordinary skill in the art, before not making the creative labor It puts, is also possible to obtain other drawings based on these drawings.
Fig. 1 is hypotenuse width and grinding wheel feeding depth in glass gradual change bevel edge method for grinding provided in an embodiment of the present invention Relationship flow chart;
Fig. 2 is the structural schematic diagram of special-shaped glass gradual change bevel edge;
Fig. 3 is that glass straight edge gradual change bevel edge is ground schematic diagram;
Fig. 4 is that glass circular arc gradual change bevel edge is ground schematic diagram;
Fig. 5 is that glass spline curve gradual change bevel edge is ground schematic diagram;
Fig. 6 is the work flow diagram of glass gradual change bevel edge method for grinding provided in an embodiment of the present invention.
Specific embodiment
Technical solution of the present invention is clearly and completely described below in conjunction with attached drawing, it is clear that described implementation Example is a part of the embodiment of the present invention, instead of all the embodiments.Based on the embodiments of the present invention, ordinary skill Personnel's every other embodiment obtained without making creative work, shall fall within the protection scope of the present invention.
In the description of the present invention, it should be noted that term " center ", "upper", "lower", "left", "right", "vertical", The orientation or positional relationship of the instructions such as "horizontal", "inner", "outside" be based on the orientation or positional relationship shown in the drawings, merely to Convenient for description the present invention and simplify description, rather than the device or element of indication or suggestion meaning must have a particular orientation, It is constructed and operated in a specific orientation, therefore is not considered as limiting the invention.In addition, term " first ", " second ", " third " is used for descriptive purposes only and cannot be understood as indicating or suggesting relative importance.
In the description of the present invention, it should be noted that unless otherwise clearly defined and limited, term " installation ", " phase Even ", " connection " shall be understood in a broad sense, for example, it may be being fixedly connected, may be a detachable connection, or be integrally connected;It can To be mechanical connection, it is also possible to be electrically connected;It can be directly connected, can also can be indirectly connected through an intermediary Connection inside two elements.For the ordinary skill in the art, above-mentioned term can be understood at this with concrete condition Concrete meaning in invention.
Embodiment
In the glass gradual change bevel edge method for grinding, the realization of this method is based on a four-axle linked glass edging equipment, Wherein, four axis are respectively as follows: C1 axis, X-axis, Z axis and C2 axis;Specifically, C1 axis can be realized the rotation fortune of glass in grinding process It is dynamic;X-axis realizes moving forward and backward for grinding process medium plain emery wheel;Z axis can be realized the up and down motion of grinding process medium plain emery wheel;C2 Axis, the rotary motion of grinding wheel about the z axis, and it is tangent with glass contours direction always to be ground direction.
Wherein, four-axle linked glass edging equipment includes feeding device, and feeding device includes tri- numerical control axis of X, Y and C.X, Tri- numerical control axis of Y and C can be realized the full-automatic conveying of the three-point fix function and glass of glass between different station.
In some embodiments, it when being ground using the glass gradual change bevel edge method for grinding, needs before grinding, carries out Following preparation.
1) three-point positioning method is used, glass to be processed is fixed on rotary work table top.
2) the initial manufacture position of glass to be processed is determined.Grinding wheel is manually moved to initial glass grinding starting point, in Z Axis direction, grinding wheel are closely affixed with glass, and in X-direction, grinding wheel is closely affixed with glass, and in the direction C1, glass is rotated to mill Starting point is cut, in the direction C2, grinding wheel is rotated to tangent with glass contours.The coordinate value of today's numerical control axis C1, X, Z and C2 are recorded, it is defeated Enter digital control system, establishes the relationship of each numerical control shaft mechanical origin to workpiece coordinate system origin.
3) experiment obtains the relationship between hypotenuse width W and grinding wheel Z-direction feeding depth, the specific steps are as follows:
Step 1: grinding wheel rotarily opens;
Step 2: manually controlling grinding wheel and move down feeding, until the surface of grinding wheel and glass edge is affixed;
Step 3: it manually controls grinding wheel and moves down feeding Δ Z, (specific such as the 2 seconds) second of pause 1~3;
Step 4: grinding wheel is lifted to safe altitude, using vernier caliper measurement glass bevel edge depth W manually;
Step 5: Δ Z and W value are recorded simultaneously;
Step 6: it repeats step 2 to step 5 and amounts to 15~20 (specific such as 19 times) is secondary, the two dimension for establishing Δ Z and W is closed It is table (see Fig. 1).
When user sets bevel edge polishing width WsAfterwards, the two-dimentional relation table for establishing Δ Z and W, find in table with set Determine polishing width WsNearest former and later two values WiAnd Wi+1And corresponding Δ ZiWith Δ Zi+1, thus using linear interpolation Method, the amount of feeding needed for calculating current cutter Z-direction, formula (1) are as follows:
ΔZs=[Δ Zi(Ws-Wi+1)+ΔZi+1(Ws+Wi)]/(Wi-Wi+1) formula (1).
In real production process, for describing there are mainly three types of the data patterns of glass contours, i.e. straight line, circular arc and parameter Spline curve.In some embodiments, specific as shown in Figure 2 by taking one piece of special-shaped glass as an example.
Wherein, the operating procedure of three-point fix are as follows:
Step 1: the profile to be processed for the special-shaped glass that operator shows according to operation interface chooses non-coplanar three Anchor point;
Step 2: three positioning are calculated in conjunction with locating bar radius according to three selected anchor points in digital control system Stick corresponding three coordinate positions on workbench;
Step 3: digital control system drives tri- numerical control axis of X, Y and C of feeding device, and three locating bars are placed in respectively On workbench;The X and Y-axis of feeding device move to home, and C axis returns to zero;
Step 4: special-shaped glass is placed in the work of feeding device according to the position of three locating bars by operator manually Make on platform.
In some embodiments, the bevel edge grinding method for computing data of outline of straight line, including any grinding points grinding wheel Z To the amount of feeding calculation method, the calculation method of any grinding points grinding wheel C1 and C2 axial coordinate and any grinding points N grinding wheel X-axis into To the calculation method of amount.
1) in the calculation method of any grinding points grinding wheel Z-direction amount of feeding, if the straight line AB in Fig. 2 is grinding object, A (xA, yA) it is grinding starting point, B (xB, yB) it is grinding terminal, straight length is set as S, and giving hypotenuse width at A point is wA, at B point Hypotenuse width is wB;By method provided by above-mentioned Fig. 1, it is h that the grinding wheel Z-direction amount of feeding at A point, which is calculated,A, grinding wheel Z at B point It is h to the amount of feedingB;If N (xi, yi) is any point on straight line, using the method for linear interpolation, it is wide that the processing of N point is calculated Spend wiAre as follows:
Grinding wheel Z-direction amount of feeding hiAre as follows:
hi=[hA(wi-wA)+hB(wi-wB)]/(wA-wB) formula (3);
By wiNumerical value bring into formula (3), any grinding points grinding wheel Z-direction amount of feeding, formula (4) can be acquired are as follows:
2) in the calculation method of any grinding points grinding wheel C1 and C2 axial coordinate,
As shown in figure 3, establishing the grinding control line between glass rotation center E and X numerical control axis zero-bit O point, glass is established Rotation center E and any grinding points N rotary alignment control of profile calculate the angle [alpha] between grinding control line and rotary alignment control, i.e., The corresponding C1 axial coordinate data of any grinding points N of glass contours to be processed;To guarantee wheel grinding direction and glass wheel to be processed Exterior feature is tangent at grinding points, and the corresponding C2 axis rotation angle of any grinding points N of glass contours to be processed is also α.
3) in the calculation method of any grinding points N grinding wheel X-axis amount of feeding, glass rotary middle point E and X numerical control axis are established Grinding control line between zero-bit O point, and the length for measuring the control line is L0;It is any with profile to establish glass rotation center E Grinding points N rotary alignment control, the length of control line are Li;After C1 rotary shaft drives glass rotation angle [alpha], grinding control line and mill It cuts rotary alignment control to be overlapped, then X of the corresponding grinding wheel at any grinding points N is to amount of feeding calculation formula (5) are as follows: Δ x=L0- Li
4) coordinate data based on four numerical control axis of gained realizes glass linear wheel using four-axle linked processing method The grinding of wide Trapezoidal bevel edge.
In some embodiments, the bevel edge grinding method for computing data of arc profile, including any grinding points grinding wheel Z To the amount of feeding calculation method, the calculation method of any grinding points grinding wheel C1 and C2 axial coordinate and any grinding points grinding wheel X-axis into To the calculation method of amount.
1) in the calculation method of any grinding points grinding wheel Z-direction amount of feeding, if the circular arc C D in Fig. 2 is grinding object, C (xC, yC) it is grinding starting point, D (xD, yD) it is grinding terminal, circular arc arc length is S1=θ × R, wherein R is arc radius, and θ is circle Arc central angle;Hypotenuse width is set at C point as wC, hypotenuse width is w at D pointD;Firstly, calculating and determining using method shown in Fig. 1 The grinding wheel Z-direction amount of feeding, is set as h at C pointC;The grinding wheel Z-direction amount of feeding, is set as h at D pointD;If N (xi, yi) is any one on circular arc Point calculates N point working width w using the method for linear interpolationi, formula (6) are as follows:
Calculate grinding wheel Z-direction amount of feeding hi, formula (7) are as follows:
hi=[hC(wi-wC)+hD(wi-wD)]/(wC-wD) formula (7);
By wiValue bring into formula (7), the Z-direction amount of feeding of any grinding points N of profile are as follows:
2) in the calculation method of any grinding points grinding wheel C1 and C2 axial coordinate, as shown in figure 4, establishing glass rotation center Grinding control line between E and X numerical control axis zero-bit O point, establishes the rotation between glass rotation center E and any grinding points N of profile Turn control line, calculates the angle beta between grinding control line and rotary alignment control, i.e., the C1 axis of any grinding points N of glass to be processed Coordinate data.To guarantee that wheel grinding direction and glass to be processed are tangent at grinding points N, glass contours grinding points N to be processed Place's C2 axis rotation angle coordinate is also set as β.
3) in the calculation method of any grinding points grinding wheel X-axis amount of feeding,
The grinding control line between glass rotation center E and X numerical control axis zero-bit O point is established, and measures the length of the control line Degree is L;The rotary alignment control of glass rotation center E Yu any grinding points N of profile are established, and the length for measuring the control line is Li;After C1 rotary shaft drives glass rotation angle beta, grinding control line is overlapped with grinding points rotary alignment control, and grinding wheel is in X to feeding It measures calculation formula (9) are as follows: Δ x=L-Li
4) four numerical control axial coordinate data of gained are based on, using four-axle linked processing method, realize glass arc profile The grinding of Trapezoidal bevel edge.
In some embodiments, the bevel edge grinding method for computing data of parametric spline curve, comprising: any grinding points The calculation method of the grinding wheel Z-direction amount of feeding, the calculation method of any grinding points grinding wheel C1 and C2 axial coordinate and any grinding points grinding wheel X The calculation method of the axis amount of feeding.
Based on the above method, firstly, parametric spline curve is indicated are as follows:
Wherein, PiFor control point;RiFor weight factor;U is knot vector;Ni,3It (u) is basic function.
When for spline curve segment data in glass contours, enabling curvilinear equation is c (u), u ∈ [0,1], calculates step such as Under:
Step 1: setting variable δ=0, accumulates chord length L=0;
Step 2: initial parameter value ui=δ, by uiIt brings curvilinear equation c (u) into, obtains bent on-line parameters uiCorresponding point Pi
Step 3: u is enabledi+1=ui+ Δ u, wherein Δ u is parameter increase value;I=0,1,2 ... .., n;By ui+1Bring curve into Equation c (u) obtains bent on-line parameters ui+1Corresponding point Pi+1;Calculate Pi+1And PiThe distance between two o'clock is simultaneously cumulative by the distance To accumulation chord length, L=L+ is obtained | | Pi+1-Pi||;
Step 4: parameter value δ=u is enabledi+1, step 2 is repeated to step 4, until parameter value ui+1Difference with 1 is less than 0.01, then parameter curve overall length S2=L.
1) in the calculation method of any grinding points grinding wheel Z-direction amount of feeding, if the spline curve DA in Fig. 2 is grinding pair As D (xD, yD) it is grinding starting point, A is grinding terminal, and spline curve length is S2, giving hypotenuse width at D point is wD, at A point Hypotenuse width is wA;Using method shown in Fig. 1, the grinding wheel Z-direction amount of feeding at D point is calculated, is set as hD;Sand at A point is calculated The Z-direction amount of feeding is taken turns, h is set asA;If N (xi, yi) is any point in spline curve, using the method for linear interpolation, N point is calculated Locate working width wi, formula (11) are as follows:
Calculate grinding wheel Z-direction amount of feeding h at N pointi, formula (12) are as follows:
hi=[hD(wi-wD)+hA(wi-wA)]/(wD-wA) formula (12);
By wiNumerical value bring into formula (12), grinding wheel Z-direction amount of feeding h at any grinding points N can be obtainedi, formula (13) are as follows:
2) in the calculation method of any grinding points grinding wheel C1 and C2 axial coordinate, as shown in figure 5, establishing glass rotation center Grinding control line between E and X numerical control axis zero-bit O point, establish glass rotation center E and glass contours grinding points N to be processed it Between rotary alignment control, calculate the angle γ between grinding control line and rotary alignment control, i.e., glass contours to be processed arbitrarily grind Cut the C1 axial coordinate data at point N;To guarantee that wheel grinding direction and glass contours to be processed are tangent at grinding points N, exterior feature mill It cuts the C2 axis rotation angle at point N and is also set as γ.
3) in the calculation method of any grinding points grinding wheel X-axis amount of feeding, glass rotation center E and X numerical control axis zero are established Grinding control line between the O point of position, and the length for measuring the control line is L;It establishes glass rotation center E and is arbitrarily ground with profile Rotary alignment control between point N, and the length for measuring the control line is Li;After C1 rotary shaft drives glass rotation angle γ, mill It cuts control line to be overlapped with the rotary alignment control of grinding points N, grinding wheel is in X to amount of feeding calculation formula (14) are as follows: Δ x=L-Li
4) four numerical control axial coordinate data of gained are based on, using four-axle linked processing method, realize glass Parameter Spline The grinding of curved profile Trapezoidal bevel edge.
It should be noted that glass contours to be processed are not a number of segment in the processing side attribute for judging glass to be processed According to, but including straight line, circular arc and spline curve.The outline data of input control system derives from AUTOCAD software, and file is The DXF file of standard, machine tool control system are directly read.
The specific processing flow of the above method is following (see Fig. 6):
Glass to be processed is fixed on work top by step 1, three-point fix;
Step 2 determines the preliminary working position of glass to be processed;
C1, X, Y, C2 numerical control axis of step 3, glass edging equipment return to zero;
Step 4 judges the attribute on the side to be processed of glass to be processed;
Step 5 turns to step 7 if side to be processed is straight line or arc profile;If side to be processed is spline curve wheel Exterior feature turns to step 6;
Step 6 determines that side to be processed is the machining path of spline curve;
Step 7 determines the grinding starting point and grinding terminal point coordinate on side to be processed;Determine grinding starting point and grinding terminal point Hypotenuse width;According to hypotenuse width, grinding starting point and the grinding terminal point grinding wheel Z-direction amount of feeding are calculated;
Step 8 determines the tool setting position of grinding wheel;
Step 9, calculates coordinate of the gradual change bevel edge in C1, X, Y, C2 numerical control axis of glass contours to be processed, and inputs numerical control Lathe;
Step 10 determines the grinding inclination angle of grinding wheel;Manually adjustable determining diamond wheel grinding inclination angle;
Step 11 is ground the side to be processed of glass by four-axle linked equipment.The horizontal operation of glass to be processed is installed Table top carries out the rotation of C1 numerical control axis, skive passes through the special-shaped glass of four-axle linked grinding in the direction X, Y, C2 three-shaft linkage The gradual change bevel edge of glass, is always ensured that grinding wheel is tangent with glass contours.
Wherein it is determined that the tool setting position of grinding wheel, main purpose is to establish grinding wheel in X-axis, Z axis, C1Axis and C2Axis movement Relationship on direction between machine zero and workpiece coordinate system, its step are as follows:
Step 1: to prevent grinding wheel and workpiece from colliding, grinding wheel should be first raised, is returned to zero along Z-direction lathe;
Step 2: it is returned to zero along X-axis and Y direction lathe;
Step 3: decline Z axis is affixed up to the surface of grinding wheel and glass edge, remembers that coordinate at this time is Z axis program origin, Exit Z axis;
Step 4: feeding along the x axis, until being affixed with glass contours side, remembers that coordinate at this time is that X-axis program is former Point;
Step 5: C1Axis, C2Axis direction does not have to knife, and design parameter is determined by digital control system calculating.
The processing method that the glass gradual change bevel edge method for grinding supplements special-shaped glass lace, can not only be in straight line and circular arc Bevel edge grinding is carried out on profile, and bevel edge grinding can be carried out on spline curve profile;By machining instead of a large amount of Artificial participation, improve the degree of automation of glass grinding, greatly reduce the labor intensity of worker, improve production effect Rate;The glass gradual change bevel edge method for grinding can be ground Trapezoidal bevel edge, enrich product form processing, added value is higher.
Finally, it should be noted that the above embodiments are only used to illustrate the technical solution of the present invention., rather than its limitations;To the greatest extent Pipe present invention has been described in detail with reference to the aforementioned embodiments, those skilled in the art should understand that: its according to So be possible to modify the technical solutions described in the foregoing embodiments, or to some or all of the technical features into Row equivalent replacement;And these are modified or replaceed, various embodiments of the present invention technology that it does not separate the essence of the corresponding technical solution The range of scheme.

Claims (5)

1. a kind of glass gradual change bevel edge method for grinding, which comprises the following steps:
Glass to be processed is fixed on work top by step 1, three-point fix;
Step 2 determines the preliminary working position of glass to be processed;
C1, X, Y, C2 numerical control axis of step 3, glass edging equipment return to zero;
Step 4 judges the attribute on the side to be processed of glass to be processed;
Step 5 turns to step 7 if side to be processed is straight line or arc profile;If side to be processed is spline curve profile, turn To step 6;
Step 6 determines that side to be processed is the machining path of spline curve;
Step 7 determines the grinding starting point and grinding terminal point coordinate on side to be processed;Determine grinding starting point and grinding terminal point bevel edge Width;According to hypotenuse width, grinding starting point and the grinding terminal point grinding wheel Z-direction amount of feeding are calculated;
Step 8 determines the tool setting position of grinding wheel;
Step 9, calculates coordinate of the gradual change bevel edge in C1, X, Y, C2 numerical control axis of glass contours to be processed, and inputs numerical control machine Bed;
Step 10 determines the grinding inclination angle of grinding wheel;
Step 11 is ground the side to be processed of glass.
2. glass gradual change bevel edge method for grinding according to claim 1, which is characterized in that side to be processed is spline curve, Its method for determining machining path is based on following algorithm:
Parametric spline curve is indicated are as follows:
Wherein, PiFor control point;RiFor weight factor;U is knot vector;Ni,3It (u) is basic function;
For the spline curve segment data in side to be processed, enabling curvilinear equation is c (u), u ∈ [0,1], and steps are as follows for calculating:
Step 1: setting variable δ=0, accumulates chord length L=0;
Step 2: initial parameter value ui=δ, by uiIt brings curvilinear equation c (u) into, obtains bent on-line parameters uiCorresponding point Pi
Step 3: u is enabledi+1=ui+ Δ u, wherein Δ u is parameter increase value;I=0,1,2 ... .., n;By ui+1Bring curvilinear equation c into (u), bent on-line parameters u is obtainedi+1Corresponding point Pi+1;Calculate Pi+1And PiThe distance is simultaneously added to tired by the distance between two o'clock Product chord length, obtains L=L+ | | Pi+1-Pi||;
Step 4: parameter value δ=u is enabledi+1, step 2 is repeated to step 4, until parameter value ui+1Difference with 1 is less than 0.01, then Parameter curve overall length S2=L.
3. glass gradual change bevel edge method for grinding according to claim 2, which is characterized in that side to be processed is spline curve, The bevel edge grinding method for computing data of spline curve, comprising: the calculation method of any grinding points grinding wheel Z-direction amount of feeding is appointed The calculation method of the calculation method and any grinding points grinding wheel X-axis amount of feeding of meaning grinding points grinding wheel C1 and C2 axial coordinate.
4. glass gradual change bevel edge method for grinding according to claim 1, which is characterized in that side to be processed is straight line, straight line The bevel edge grinding method for computing data of profile, calculation method, any grinding including any grinding points grinding wheel Z-direction amount of feeding The calculation method of point grinding wheel C1 and C2 axial coordinate and the calculation method of any grinding points grinding wheel X-axis amount of feeding.
5. glass gradual change bevel edge method for grinding according to claim 1, which is characterized in that side to be processed is arc profile, The bevel edge grinding method for computing data of arc profile, it is calculation method including any grinding points grinding wheel Z-direction amount of feeding, any The calculation method of the calculation method of grinding points grinding wheel C1 and C2 axial coordinate and any grinding points grinding wheel X-axis amount of feeding.
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EP0798075A2 (en) * 1996-03-27 1997-10-01 Intermac Srl Apparatus for machining, particularly bevelling, the edge of glass plates and machining process using this apparatus
CN1075421C (en) * 1993-04-14 2001-11-28 朴敬 Glass sheet partial chamfering machine
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GB273139A (en) * 1926-10-28 1927-06-30 Franz Liebl Machine for rounding off or bevelling edges of glass or like articles
GB336919A (en) * 1929-02-16 1930-10-23 Emile Laffineur Improved process of and apparatus for forming ovals
GB376215A (en) * 1931-03-17 1932-07-07 Metallurg Et Fonderies Ets Improvements in machines for bevelling curvilinear glass plates, particularly oval glass plates
US4667443A (en) * 1984-09-06 1987-05-26 Kaoru Sakurai End face grinding apparatus
CN2148636Y (en) * 1993-02-09 1993-12-08 王涤生 Portable grinder-polisher for bevel, straight edges glass
CN1075421C (en) * 1993-04-14 2001-11-28 朴敬 Glass sheet partial chamfering machine
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EP0798075A2 (en) * 1996-03-27 1997-10-01 Intermac Srl Apparatus for machining, particularly bevelling, the edge of glass plates and machining process using this apparatus
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