CN106881768A - A kind of method that saw blade processes concave arc on stone material - Google Patents

A kind of method that saw blade processes concave arc on stone material Download PDF

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Publication number
CN106881768A
CN106881768A CN201710062786.3A CN201710062786A CN106881768A CN 106881768 A CN106881768 A CN 106881768A CN 201710062786 A CN201710062786 A CN 201710062786A CN 106881768 A CN106881768 A CN 106881768A
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Prior art keywords
concave arc
saw blade
circular arc
angle
auxiliary circular
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CN106881768B (en
Inventor
王平江
熊业昌
钟治魁
张顺林
陈达伟
陈文奇
柯榕彬
李世其
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Quanzhou Huazhong University Of Science And Technology Institute Of Manufacturing
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Quanzhou Huazhong University Of Science And Technology Institute Of Manufacturing
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    • BPERFORMING OPERATIONS; TRANSPORTING
    • B28WORKING CEMENT, CLAY, OR STONE
    • B28DWORKING STONE OR STONE-LIKE MATERIALS
    • B28D1/00Working stone or stone-like materials, e.g. brick, concrete or glass, not provided for elsewhere; Machines, devices, tools therefor
    • B28D1/02Working stone or stone-like materials, e.g. brick, concrete or glass, not provided for elsewhere; Machines, devices, tools therefor by sawing
    • B28D1/04Working stone or stone-like materials, e.g. brick, concrete or glass, not provided for elsewhere; Machines, devices, tools therefor by sawing with circular or cylindrical saw-blades or saw-discs

Abstract

The method that a kind of saw blade of the present invention processes concave arc on stone material, concave arc track process and obtains aiding in concave arc, discrete auxiliary concave arc track, obtain discrete point coordinate data, it is converted into workpiece coordinate system, the form that five-axle numerical control system can be recognized is converted to by coordinate transform, realize processing of the five-axle number control machine tool to plane concave arc, the scope of application of five-axle number control machine tool saw blade processing is widened, the abrasion of the workload and cutter of subsequent technique can be reduced in the processing of Sawing Process stage completion concave arc.The method of the present invention, it is high in machining efficiency with stronger adaptability, and cutting effect is preferable.

Description

A kind of method that saw blade processes concave arc on stone material
Technical field
The present invention relates to automation control area, a kind of method for being related to saw blade that concave arc is processed on stone material is applicable In five axle bridge type stone material cutting equipments.
Background technology
Lithotome is because texture is good, outward appearance is serious, clean mark, in a great variety, stable physical property, chemical property are good Good many advantages, such as, as a kind of excellent construction material, it is widely used in home decoration.In processing of stone neck Domain, conventional cutter including saw blade, milling cutter, bistrique etc., wherein, saw blade processing has that efficiency highest, wear extent be smaller, resistance Small, cutter life is long, it is wide to be applicable stone material scope, low cost the features such as, therefore obtained widely using.Bridge type stone material cuts Machine, using saw blade as main process tool, is the common equipment of processing of stone for the roughing of stone material workpiece.
In domestic existing blades machining method, saw blade is for general on cutting straight line and dome arc on board-like stone material, The processing of concave arc can only realize in follow-up milling or grinding process, and resistance is big and serious wear of cutter, serious restriction The efficiency of processing of stone.As the shape of stone material workpiece becomes increasingly complex, the realization of concave arc processing method is also very urgent.
The content of the invention
The purpose of the present invention is the shortcomings and deficiencies for overcoming prior art, there is provided a kind of saw blade processes recessed circle on stone material The method of arc, improves the efficiency of processing of stone, reduces production cost.
The method that a kind of saw blade of the present invention processes concave arc on stone material, comprises the following steps:
Step 1, the outline curve of workpiece is drawn, and derive the Drawing Interchange File DXF of outline;
Step 2, the Drawing Interchange File DXF import systems by outline, read primitive information therein, obtain concave arc Coordinate (x in world coordinate system of radius R, the center of circle0, y0), starting point phase angle [alpha], terminal phase angle β;
Step 3, structure concave arc model, it is concave arc starting point, Y side to set up auxiliary coordinates XOY, O in circular arc starting point To the direction for concave arc starting point to the center of circle, X-direction is starting point tangential direction, and heavy line is workpiece profile, then concave arc can It is expressed as:
In formula, R is concave arc radius,It is phase angle, meetsα is starting point phase angle, β is terminal phase Angle;
Step 4, calculating saw blade main cutting chord length d1
Saw blade processes workpiece, d with angle, θ1It is saw blade main cutting chord length, d is saw blade cutting depth, r1It is annular saw Piece radius, then saw blade main cutting chord length d1It is calculated as follows:
Step 5, saw blade deflection angle θ values are calculated, the angle, θ phase in deflection angle θ values in this step and step 4 Together:
Step 6, radius r ' is aided according to the moving track calculation at saw blade main cutting chord length midpoint:
Step 7, compare saw blade main cutting chord length d1/ 2 with the size of auxiliary radius r ', work as d1/ 2 less than or equal to r ' when, It is transferred to step 8;Work as d1/ 2 more than r ' when, be transferred to step 9:
Step 8, auxiliary circular arc and the same center of circle of concave arc, the start-up phase parallactic angle of auxiliary circular arc and the start-phase of concave arc Angle is consistent, calculates auxiliary circular arc radius r and central angle
It is transferred to step 11;
Step 9:Auxiliary circular arc and the same center of circle of concave arc, the start-up phase parallactic angle of auxiliary circular arc and the start-phase of concave arc Angle is inconsistent, calculates auxiliary circular arc radius r and central angle
It is transferred to step 10;
Step 10, the phase angle difference γ for calculating auxiliary circular arc starting point and concave arc starting point:
γ=arctan (r1/2r) (7)
Step 11, r and central angle according to auxiliary circular arcBuild auxiliary circular arc model:
In above formula, α ', β ' are the corresponding phase angle of auxiliary circular arc beginning and end;
Step 12, to carry out auxiliary circular arc discrete, obtains n discrete point, and export the coordinate (x of each pointi, yi), this is discrete Point is expressed as:
Step 13, by discrete point (xi, yi) coordinate transform is carried out, be converted to the coordinate (x ' under workpiece coordinate systemi, y 'i);
Step 14, the range of movement according to each axle of five-axis machine tool, by the discrete point (x ' after coordinate transformi, y 'i) fortune The dynamic RTCP functions of being converted to the motion (X, Y, Z, A, C) of five axle AC Double swing head Digit Control Machine Tools each axles, and enable digital control system, Wherein X, Y, Z can automatically be calculated by digital control system according to A, C of current processing stand, and A, C of current processing stand are calculated as follows:
A=θ
In above formula, (Px, Py) it is the unit tangent vector of current point, C ' is the upper corresponding C Shaft angles of current point;
Step 15, write according to discrete point coordinate data or automatically generate G code, transported by digital control system control five-axis machine tool Row G code, is moved along auxiliary circular arc track by the saw blade center of circle with particular pose, it is ensured that saw blade is added with suitable attitude Work goes out required workpiece concave arc outline track.
The present invention is processed concave arc track, obtains aiding in concave arc, and discrete auxiliary concave arc track obtains discrete Point coordinate data, is converted into workpiece coordinate system, and the form that five-axle numerical control system can be recognized is converted to by coordinate transform, Processing of the five-axle number control machine tool to plane concave arc is realized, the scope of application of five-axle number control machine tool saw blade processing has been widened, can To complete the processing of concave arc in the Sawing Process stage, the abrasion of the workload and cutter of subsequent technique is reduced.The present invention Method, it is high in machining efficiency with stronger adaptability, and cutting effect is preferable.
Brief description of the drawings
Fig. 1 for the present invention in set up concave arc auxiliary coordinates schematic diagram;
Fig. 2 is saw blade main cutting chord length schematic diagram in the present invention;
Fig. 3 is cutting schematic diagrames of the saw blade main cutting chord length AC of the present invention on concave arc;
Fig. 4 be in the present invention auxiliary circular arc MN it is consistent with the start-up phase parallactic angle of concave arc OF calculate auxiliary circular arc radius r and Central angleSchematic diagram;
Fig. 5 is the inconsistent calculating auxiliary circular arc radius r of start-up phase parallactic angle of auxiliary circular arc MN and concave arc OF in the present invention And central angleSchematic diagram.
The present invention is further described below in conjunction with the drawings and specific embodiments.
Specific embodiment
The method that a kind of saw blade of the present invention processes concave arc on stone material, specifically includes following steps:
Step 1, the outline curve of workpiece is drawn, and derive the Drawing Interchange File DXF of outline;
Step 2, the Drawing Interchange File DXF import systems by outline, read primitive information therein, obtain concave arc Coordinate (x in world coordinate system of radius R, the center of circle0, y0), starting point phase angle [alpha], terminal phase angle β;
Step 3, structure concave arc model, as shown in figure 1, it is recessed circle to set up auxiliary coordinates XOY, O in circular arc starting point Arc starting point, Y-direction is direction of the concave arc starting point to the center of circle, and X-direction is starting point tangential direction, and heavy line is workpiece profile, Then concave arc is represented by:
In formula, R is concave arc radius,It is phase angle, meetsα is starting point phase angle, β is terminal phase Angle;
Step 4, calculating saw blade main cutting chord length d1
As shown in Fig. 2 saw blade 1 processes workpiece 2, main cutting chord length d with angle, θ1AC i.e. in figure, d cut for saw blade Cut the BD in depth, i.e. figure, r1Be the AO ' in saw blade radius, i.e. figure, then saw blade main cutting chord length d1It is calculated as follows:
Step 5, calculate saw blade deflection angle θ values, it is ensured that process the machined surface of workpiece close to vertical plane:
Deflection angle θ values in this step are identical with the angle, θ in step 4, and AC is in concave arc for saw blade main cutting chord length On cutting illustrate as shown in figure 3, O " be the concave arc center of circle, with reference to Fig. 2, calculate saw blade deflection angle θ values:
Step 6, according to saw blade main cutting chord length d1The moving track calculation auxiliary radius r ' of midpoint B:
Step 7, compare saw blade main cutting chord length d1/ 2 with the size of auxiliary radius r ', work as d1/ 2 less than or equal to r ' when, It is transferred to step 8;Work as d1/ 2 more than r ' when, be transferred to step 9:
Step 8, as shown in figure 4, circular arc MN is auxiliary circular arc, its center of circle and the concave arc OF centers of circle are same point, i.e. point The start-up phase parallactic angle of O ", auxiliary circular arc MN is consistent with the start-up phase parallactic angle of concave arc OF, calculates auxiliary circular arc radius r and central angle
It is transferred to step 11;
Step 9:As shown in figure 5, circular arc MN is auxiliary circular arc, its center of circle is same point, i.e. point with the concave arc OF centers of circle O ", the start-up phase parallactic angle of auxiliary circular arc is inconsistent with the start-up phase parallactic angle of concave arc, calculates auxiliary circular arc radius r and the center of circle is burnt
It is transferred to step 10;
Step 10, as shown in figure 5, calculating the phase angle difference γ of auxiliary circular arc starting point and concave arc starting point:γ= arctan(r1/2r) (7)
Step 11, r and central angle according to auxiliary circular arcBuild auxiliary circular arc model:
In above formula, α ', β ' are the corresponding phase angle of auxiliary circular arc beginning and end;
Step 12, to carry out auxiliary circular arc discrete, obtains n discrete point, and export the coordinate (x of each pointi, yi), this is discrete Point is expressed as:
Step 13, by discrete point (xi, yi) coordinate transform is carried out, be converted to the coordinate (x ' under workpiece coordinate systemi, y 'i), Formula of Coordinate System Transformation is:
In formula, It is the spin moment of auxiliary coordinates XOY to workpiece coordinate system Battle array,It is coordinate of the auxiliary coordinate origin in workpiece coordinate system;
Step 14, the range of movement according to each axle of five-axis machine tool, by the discrete point (x ' after coordinate transformi, y 'i) fortune The dynamic RTCP functions of being converted to the motion (X, Y, Z, A, C) of five axle AC Double swing head Digit Control Machine Tools each axles, and enable digital control system, In the present embodiment use the type digital control system of Central China eight, five-axis machine tool A axles range of movement be 0 ° -90 °, C axles range of movement be 0 ° - 360 °, by the discrete point (x ' after coordinate transformi, y 'i) motion be converted to the motion of five axle AC Double swing head Digit Control Machine Tools each axles (X, Y, Z, A, C), and enable the RTCP functions of digital control system, then X, Y, Z can automatically be calculated by digital control system according to current A, C, A, C computational methods of current processing stand are as follows:
A=θ
In above formula, (Px, Py) it is the unit tangent vector of current point, C ' is the upper corresponding C Shaft angles of current point;
Step 15, write according to discrete point coordinate data or automatically generate G code, transported by digital control system control five-axis machine tool Row G code, is moved along auxiliary circular arc track by the saw blade center of circle with particular pose, it is ensured that saw blade is added with suitable attitude Work goes out required workpiece concave arc outline track.
The above, is only present pre-ferred embodiments, and not technical scope of the invention is imposed any restrictions, therefore Every any trickle amendment, equivalent variations and modification made to above example according to technical spirit of the invention, still belongs to In the range of technical solution of the present invention.

Claims (1)

1. a kind of method that saw blade processes concave arc on stone material, it is characterised in that comprise the following steps:
Step 1, the outline curve of workpiece is drawn, and derive the Drawing Interchange File DXF of outline;
Step 2, the Drawing Interchange File DXF import systems by outline, read primitive information therein, obtain the half of concave arc Coordinate (the x of footpath R, the center of circle in world coordinate system0, y0), starting point phase angle [alpha], terminal phase angle β;
Step 3, structure concave arc model, it is concave arc starting point to set up auxiliary coordinates XOY, O in circular arc starting point, and Y-direction is To the direction in the center of circle, X-direction is starting point tangential direction to concave arc starting point, and heavy line is workpiece profile, then concave arc can be represented For:
In formula, R is concave arc radius,It is phase angle, meetsα is starting point phase angle, β is terminal phase angle;
Step 4, calculating saw blade main cutting chord length d1
Saw blade processes workpiece, d with angle, θ1It is saw blade main cutting chord length, d is saw blade cutting depth, r1It is saw blade half Footpath, then saw blade main cutting chord length d1It is calculated as follows:
d 1 = 2 r 1 2 - ( r 1 - d / c o s θ ) 2 - - - ( 2 )
Step 5, calculating saw blade deflection angle θ values, the deflection angle θ values in this step are identical with the angle, θ in step 4:
θ = a r c s i n 2 r 1 4 R 2 + d 2 - a r c s i n d 4 R 2 + d 2 - - - ( 3 )
Step 6, radius r ' is aided according to the moving track calculation at saw blade main cutting chord length midpoint:
Step 7, compare saw blade main cutting chord length d1/ 2 with the size of auxiliary radius r ', work as d1/ 2 less than or equal to r ' when, be transferred to Step 8;Work as d1/ 2 more than r ' when, be transferred to step 9;
Step 8, auxiliary circular arc and the same center of circle of concave arc, the start-up phase parallactic angle of auxiliary circular arc and the start-up phase parallactic angle one of concave arc Cause, calculate auxiliary circular arc radius r and central angle
It is transferred to step 11;
Step 9:Auxiliary circular arc and the same center of circle of concave arc, the start-up phase parallactic angle of auxiliary circular arc is with the start-up phase parallactic angle of concave arc not Unanimously, auxiliary circular arc radius r and central angle are calculated
It is transferred to step 10;
Step 10, the phase angle difference γ for calculating auxiliary circular arc starting point and concave arc starting point:
γ=arctan (r1/2r) (7)
Step 11, r and central angle according to auxiliary circular arcBuild auxiliary circular arc model:
In above formula, α ', β ' are the corresponding phase angle of auxiliary circular arc beginning and end;
Step 12, to carry out auxiliary circular arc discrete, obtains n discrete point, and export the coordinate (x of each pointi, yi), the discrete point table It is shown as:
Step 13, by discrete point (xi, yi) coordinate transform is carried out, be converted to the coordinate (x ' under workpiece coordinate systemi, y 'i);
Step 14, the range of movement according to each axle of five-axis machine tool, by the discrete point (x ' after coordinate transformi, y 'i) motion turn It is changed to the motion (X, Y, Z, A, C) of five axle AC Double swing head Digit Control Machine Tools each axles, and enables the RTCP functions of digital control system, wherein X, Y, Z can automatically be calculated by digital control system according to A, C of current processing stand, and A, C of current processing stand are calculated as follows:
A=θ
C = m i n { a r c t a n P y P x - C &prime; , arctan P y P x + &pi; - C &prime; } ( P y P x > 0 ) min { a r c t a n P y P x + &pi; - C &prime; , arctan P y P x + 2 &pi; - C &prime; } ( P y P x < 0 ) m i n { 90 - C &prime; , 270 - C &prime; } ( P x = 0 )
In above formula, (Px, Py) it is the unit tangent vector of current point, C ' is the upper corresponding C Shaft angles of current point;
Step 15, write according to discrete point coordinate data or automatically generate G code, by digital control system control five-axis machine tool operation G Code, is moved along auxiliary circular arc track by the saw blade center of circle with particular pose, it is ensured that saw blade is processed with suitable attitude Go out required workpiece concave arc outline track.
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Cited By (3)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN108000731A (en) * 2017-11-16 2018-05-08 华侨大学 A kind of circular arc of circular saw cutting stone material and the method for elliptic contour
CN108920862A (en) * 2018-07-19 2018-11-30 杭州开维科技有限公司 A kind of mold machining track calculating method based on CAD modeling
CN110883946A (en) * 2019-12-26 2020-03-17 广东科达洁能股份有限公司 Cutting method for elliptical hole of stone table top plate

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Cited By (5)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN108000731A (en) * 2017-11-16 2018-05-08 华侨大学 A kind of circular arc of circular saw cutting stone material and the method for elliptic contour
CN108000731B (en) * 2017-11-16 2019-07-05 华侨大学 A kind of method of the circular arc and elliptic contour of circular saw cutting stone material
CN108920862A (en) * 2018-07-19 2018-11-30 杭州开维科技有限公司 A kind of mold machining track calculating method based on CAD modeling
CN110883946A (en) * 2019-12-26 2020-03-17 广东科达洁能股份有限公司 Cutting method for elliptical hole of stone table top plate
CN110883946B (en) * 2019-12-26 2021-10-26 广东科达洁能股份有限公司 Cutting method for elliptical hole of stone table top plate

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