The method of processing complex curved surfaces

 

(57) Abstract:

The invention relates to mechanical engineering, precision machining curved surfaces with overlapping curved sections of profiles with small radii mates one versatile tool. The method includes the handling of complex curved surfaces tool in the form of a body of rotation with producing curvilinear surface and four nonlinear coordinated morphogenetic movements, one of which is rotational and is located in the plane of the forming tool. For expansion of production capabilities due to surface treatment with a curved sections of the profiles intersecting with small radii and increasing the accuracy of treatment producing curvilinear surface of the tool is formed by two conical sections and a plot of the torus sleeve radial surface, and the straight line forming tool are angled, the value of which is chosen equal to or smaller than the minimum angle between the tangent to the opposite sides of the profile of the treated surface at the points of their mates with the concave sections of the profile. The processing of each convex is the and concave mating portion of the profile details - radius corovim plot profile tool, when this treatment is carried out with three simultaneous nonlinear coordinated morphogenetic movements that are located in the same plane profiling, one of which is the above-mentioned rotational movement in the plane of the forming tool with the ability to touch rectilinear generatrix of the tool to each point of the processed convex portion of the profile parts, the other two movements will agree with rotational with the possibility in the processing sections of the profile, intersecting at an angle > 90, rolling rectilinear generatrix of the tool on the workpiece, and when the processing sections of the profile, intersecting at an angle < 90 - rolling rectilinear generatrix of the tool on the treated surface with a negative slip, the magnitude of which is determined from the condition of movement of the point of maximum tool diameter unhandled side profile details. 5 Il.

The invention relates to mechanical engineering and can be used for processing of geometrically-complex parts, such as working surfaces of the tools.

The closest analogue is the method of processing multi-axis by forming on CNC sculpted surfaces of the parts [2] S. 153. . . 157, the method is a rotating tool (cutter) variable curvature forming. Machining of curved surfaces is made with four continuous coordinated movements shaping, and two rotary movements are used to provide the most complete fit-producing surface to formoobrazovanii workpiece surface. The primary witness the rotary motion is in the plane of the forming tool, and the secondary rotary movement in a plane passing through the point of tangency of the generating surface and the workpiece surface. However, this method can only be used for treatment of open geometrically-complex parts that do not have overlapping areas of surfaces with small radii. In addition, there are problems of accuracy of the profile shape (poverhnosti.

The method of processing complex curvilinear surfaces of the tool body rotation, producing curvilinear surface and four nonlinear coordinated morphogenetic movements, one of which is rotational and is located in the plane of the forming tool, wherein the processing produces an instrument with two conical and the torus sleeve radial surface, and the straight line forming tool perform at an angle , whose value must be equal to or less than the minimum angleminbetween the tangent to the opposite sides of the profile of the treated surface at the points of their mates with the concave sections of the profile and is determined by the formula:

< / BR>
where is the first derivative of the functions of the left part of the profile of the processed surface;

the first derivative of the function for the right part of the profile of the processed surface;

Zmand Z'm- applicati points M mates left and right parts of the profile with a concave part of the profile radius r1;

in addition, the processing of each convex or straight side profile produce the same straight side profile of the tool, and concave mating portion of the profile on formoobrazuyuschimi movements, lying in the same plane profiling, one of them, rotational, carry out so that rectilinear forming tool was consistently tangent to each point of the processed convex portion of the profile, and the other two will agree therefore with rotary to process sections of the profiles that intersect at an angle of 90oline forming tool rolled on the treated surface, as in the processing sections of the profiles that intersect at an angle < 90oline forming tool rolled on the treated surface with a negative slip, the value of which is determined from the movement of the point of maximum tool diameter unhandled side of the profile.

The proposed method allows to expand the technological capabilities of the processing of geometrically-complex parts, by surface treatment, consisting of curvilinear profiles, intersecting with small radii, tools, body rotation, which produces a surface formed by two conical surfaces and the radius torus sleeve, as well as to improve the machining accuracy due to the rolling Profi profiling.

In Fig. 1 shows a diagram of surface treatment of complex curvilinear forms; Fig. 2 - scheme of the rolling profile with overlapping curved sections; Fig. 3 is a diagram of the formation profile details if the angle < 90obetween the tangent at the point of mating profiles; Fig. 4 - scheme to establish functional relationships between formative movements at a constant slip rate; Fig. 5 is a scheme to establish a functional relationship between formative movements near the points mate < 90o.

Surface treatment 1 (Fig. 1) with overlapping curved sections of the profile is carried out by the tool 2, body rotation, with two conical surfaces 3 with rectilinear generatrices and the radius torus sleeve 4 with a curved generatrix.

Angle (Fig. 2) between the straight line forming perform less than or equal to the minimum cornerminbetween the tangent to the opposite sides of the profile of the treated surface at the points of their mates with the concave sections of the profile and is determined by the formula:

< / BR>
where is the first derivative of the functions of the left part of the profile of the processed surface;

- the first derivative funkcialaj and right parts of the profile with a concave part of the profile radius r1.

Processing produce for CNC lathe milling or grinding with a vertical axis of rotation of the table and a horizontal axis of rotation of the spindle (for example, ISPF), while the software is running on the four coordinates. The tool reported the main movementzobrought to the workpiece using axis Y1and Z1so that the tool made of the radial incision until it touches the right side of the line profile tool the right side of the processed profile at point b, then the workpiece reported three at a time agreed upon movement of the feedx1; Sy, Sz; so that the instrument consistently concerned processed profile at all points, rolling rectilinear generatrix of the convex portion of the profile to the point M When the surface treatment with the changing shape of the profile along the axis of rotation of the workpiece ask the fourth movement of the feed'Sxagreed with the rest of correcting the touch point on the x-axis At the point M start processing the concave part of the profile of the mating section. In case of equality torus of radius r0the radius of the concave profile preparation section r1harvesting regards the l makes two movements:

< / BR>
where Ra- the distance from the axis of rotation of the workpiece to the point A. While the workpiece rotates by an angle whose value is determined by the formula:

= -, (3)

and turn produce up to touch tool left side of the processed profile. When r1> r0the tool to be moved along the equidistant path from point M to touch the left side of the processed profile. Next, the tool and the workpiece set movementx1, Syand Szso that the instrument consistently touching, rolled on the convex section f of the left profile to the point". The processing is repeated in the same sequence, starting from the point".

When processing profile with the angle < 90o(Fig.3) between the tangent to the points of the mating parts of the profile tool, to ensure the conditions of nazaretanya opposite the treated side of the profile for the top of the tool (point of maximum tool diameter), set the motion with negative slippage so that the top of the tool is rounded profile on the points IN1IN21B31B41. Otherwise, that is rolling on a processed profile at the points A1

The relationship between formative movements set by the following algorithm. Position profile tool 1 (Fig. 4) is determined by the angle of its inclination to the axis1Z in the coordinate system of O1YZ or corner profile tool /2,(1), which is set in advance. For profile processing, the position of which is changed in the coordinate system of O1YZ by law

= t, (4)

the profile of the tool must be tangent to all consistent with the provisions of the profile of the surface described by the function y = f(z) in the same coordinate system. When turning a surface profile corner profile tool moves from point C to point b, i.e., when processing with slip p = peak profile tool is moved from point C to point C. To ensure that running without slipping (p=1) the top of the profile is moved from a point IN0to a point so that the length of the profile B0C was equal to the curved section of the processed profile1C or BA. Thus, the top of the profile in the direction of the axis O1Y does move Syand in the direction of the axis O1Z - Sz.

The problem is therefore reduced to the determination of the equations of the tangent drawn at an angle to the axis O1

Therefore, the solution algorithm is as follows:

1. Is determined by the angle to the tangent held to some point (with coordinates 1,1) belonging to the profile in the initial position. At this stage, the analysis of a tangent, because the value of the abscissa1there may be several equations, tangent to this function. The angle of the tangent at the point A

K = arctan(df/dz)|1. (5)

2. Defines the new position of the point A (point C with coordinates (z0y0) at which the tangent will take the position profile of the tool 1, i.e., the tangent will turn the corner and will take a position at an angle to the axis O1Z:

< / BR>
Since point A (C) is rotated by the same angle relative to the center of rotation O1her new record coordinates via the transformation function of the coordinates:

< / BR>
3. Defines the coordinates of a point through which is tangent parallel to the position of the profile 1 instrument and component angle with the axis O1Z:

df/dz|z1= tg(90-/2). (8)

Found a value of Z1substitute into the equation of the function profile. So Emesene vertices IN0profile tool from point C to point B when p = :

< / BR>
5. Determined by moving the vertices IN0tool from a point IN0in point, in this case the curve AB can with a sufficient degree of accuracy to be replaced by the chord.

Assuming p=1:

< / BR>
Provided p l:

< / BR>
The third type of coordination is used only when processing stations of the processing surface near the points mate profile if the angle between the tangent at the point of mates 90o(Fig. 5).

Axis O1Z to ensure conditions nazaretanya should be reduced so that the top of the profile tool was located at point b' (Fig. 5). In this case, the elementary displacement during rotation of the profile at an angle determined by the segments S'zand S'yto determine the amount which you want to find the coordinates of the point In'(z'b, y'b). Because the point In' occurs at the intersection of a side profile of the tool tangent to the profile details described by the function y= f(z) at the point C with coordinates Z0and Y0with uncultivated plot of the profile described by the function y=fB(z), its coordinates are determined by the solution of the system level is

1. Composed equation functions unhandled adjacent portion of the profile y=fB(z) to its position when the rotation angle :

y = fin(z)cos+fin(z)sin. (12)

2. Record the equation of the tangent to the treated portion of the profile at the point C with coordinates Z0and Y0:

< / BR>
3. Jointly solving equations (12) and (13), determines the point In'(z'bz'b).

4. The task is unambiguous determination of the point In, this minimizes the size of the segment CB:

< / BR>
5. Found the coordinates of the position of point B'(z'b, y'b) are used to determine movement:

< / BR>
6. Determines if necessary, the slip rate (p=f(t)):

< / BR>
< / BR>
7. Is determined by the condition of the tool from the zone of company name to be cut:

S'zSz, (18)

Under this condition, the displacement is determined by the formulas (10), (11).

The proposed algorithm can be used for processing of geometrically-complex tool, Cam shaped, turbine blades, dies and molds.

The use of the tool with straight and curved instead of forming a curved when machining complex curved surfaces much speaking high precision movements of the working bodies, largely depends on the precision of the instrument and its stiffness. Precision tools with straight and curved forming: the deviation profile, concentricity and axial runout is significantly lower than that of shaped tools with curved forming.

The use of tools with three producing areas of the surface of the two conical and radial corovim with profile angle equal to or less than the minimum cornerminbetween the tangent to the opposite sides of the profile of the treated surface at the points of their mates, as well as the coordination of the three movements of formation, lying in the plane of the profiling so that rectilinear forming tool consistently touched the treated surface, rolling it with a constant slippage, while processing profiles that intersect at an angle < 90ovariable negative slippage, allows one tool to handle not only curved surfaces of the turbine blades, but also surfaces with curved sections, intersecting with infinitely small angles to the tangent at the point of mating with high performance.

2. The formation of complex surfaces on CNC machines/ S. P. Radzevich-To: visa SHK., 1991.-192 C.

The method of processing complex curved surfaces tool in the form of a body of rotation, wherein the processing details of the lead instrument in the form of a body of rotation with producing curvilinear surface and four nonlinear coordinated morphogenetic movements, one of which is rotating in the plane of the forming tool, wherein producing curvilinear surface of the tool is formed by two conical sections and a plot of the torus sleeve radial surface, and the straight line forming tool arranged at an angle whose value is chosen to be equal to or less than the minimum angleminbetween the tangent to the opposite sides of the profile of the treated surface at the points of their mates with the concave sections of the profile defined by the formula

< / BR>
where is the first derivative of the functions of the left part of the profile of the processed surface;

the first derivative of the function for the right part of the profile of the processed surface;

Zmand Z'm- applicati points M mates left and right parts of the profile with vagotonia details produce same straight side profile of the tool, and concave mating portion of the profile details - radius corovim plot profile tool, when this treatment is carried out with three simultaneous nonlinear coordinated morphogenetic movements that are located in the same plane profiling, one of which is the above-mentioned rotational movement in the plane of the forming tool with the ability to touch rectilinear generatrix of the tool to each point of the processed convex portion of the profile parts, the other two movements will agree with rotational with the possibility in the processing sections of the profile, intersecting at an angle >90oC, rolling rectilinear generatrix of the tool on the workpiece, and when the processing sections of the profile, intersecting at an angle <90 oC - the rolling rectilinear generatrix of the tool on the treated surface with a negative slip, the magnitude of which is determined from the condition of movement of the point of maximum tool diameter unhandled side profile details.

 

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