The tool movement trajectory equation of the cylindrical indexing cam can be divided into a three-slot ridge cam that realizes the intermittent section positioning by the ridge and a two-groove type cam that realizes the intermittent section positioning by the groove according to the structure type.

(1) For the ridge-type cylindrical indexing cam, its geometric relationship and contour development are as shown. The contour of the cam consists of five segments: I, III, and V segments are the meshing segments of the rollers 1, 2, and 3, respectively, when the indexing angle is rotated by an indexing angle, and the segments II and IV are corresponding to the intermittent segments. line. Since the milling of the space is generally performed using a milling cutter of the same diameter as the roller, the trajectory of the center of the roller is the trajectory of the center of the tool. In order to match the machining time coordinates, the graphic coordinate system is established, so there are: ridge cylindrical cam mechanism I segment: =-3Z+2ZS(T)-2, T∈(T0,1>=QTT0=02/Z=32 -Z2arcsinB+2Rg2L

In the formula, the rotation angle of the driven disc at any time (radian); the rotation angle of the cam (degree); the Z? division number; the movement angle of the Q? cam (degree); T? dimensionless time; S (T) The dimensionless displacement is determined by the motion law; the T0? roller enters the meshing time, which is the dimensionless time corresponding to the cutting starting point. The symbols used above are the same as above.

Section II: =-Z-2=(360°-Q)T+Q, T∈(0,1>III:=-Z+2ZS(T)-2, T∈(0,1>=(360 °-Q)T+QIV segment:=Z-2, T∈(0,1>=(360°-Q)T+Q+360°V segment:=Z+2ZS(T)-2, T∈( 0,1-T0>=QT+720° so that the coordinate values ​​of each cutting point on the contour are:

Xi=Lcosyi=C+Lsinzi=R-hAi(1)(2) shows the groove type cylindrical indexing cam mechanism. The sections I and III of the profile are respectively rotated by the indexing of the rollers 1 and 2 from the position shown. The angle is the meshing section with the cam, and the II section is the intermittent section. The trajectory equation of the center of the roller is: slot type cylindrical cam mechanism I segment: =-2Z+2ZS(T)-2, T∈(0,1>=QTII segment:=-2=(360°-Q)T+ Q, T∈(0,1>III:=2ZS(T)-2, T∈(0,1>=QT+360° The equation of motion of the tool center is the same as (1).

The design and content of the snail indexing cam of the snail indexing cam is similar to that of the cylindrical indexing cam mechanism, but its machining situation is very different. It needs to be oscillating in the milling head. Surface boring and milling machine processing. For calculation and ease of operation, the center of the milling cutter should be adjusted to the center of rotation of the cam follower. The equation of motion of the tool center is:

Ai=Bi=/180°(2) In the formula, the angle of rotation of the Ai? cam around the A axis (degrees); the swing angle of the Bi? milling cutter around the B axis (degrees); the formula is the same as the cylindrical indexing cam.

The tool path simulation of the space indexing cam and the three-dimensional geometric modeling tool path simulation are the process of using CNC technology to simulate the NC machining of parts. By dynamically displaying the cutting motion trajectory of the cam machining on the computer screen, the problem can be found and modified in time. In addition, the contour of the volute indexing cam cannot be expanded into a plan view in the circumferential direction like a cylindrical cam. In order to visually study the working surface of the cam, it is convenient to analyze and compare the image during design, and often establish a three-dimensional model of the cam by means of geometric modeling technology. .

In this paper, the AME module in AutoCAD graphics processing software is used to realize the solid machining simulation of the space indexing cam by Boolean operation. At the same time, the three-dimensional geometric shape of the cam is obtained. The operation process is as follows: (1) The blank matrix is ​​generated. For the cylindrical cam, you can use the Cylinder command to form a cylinder directly. For the volute cam, you need to use the Pline command to draw the half profile of the cam, and then use the Revolve command to rotate 360° to obtain; (2) dig the inner hole and cut it off. Corner, shave the keyway. By respectively generating a cylinder, a cone and a cuboid, using the Subtract command to implement them from the difference in the matrix; (3) forming a profile. First, according to the cross-sectional shape of the driven roller, a cylindrical or circular table "tool" is generated, which is subtracted from the base, and then the Rotate3d command is used to rotate the cam base about its axis by one step = i+1-i. Pivot from the (xi, yi, zi) point to the (xi+1, yi+1, zi+1) point or rotate the tool around the center of the driven disk = i+1-i, then remove the tool from the cam base In this cycle, when the cam base is rotated through 720°+Q (ridge type) or 360°+Q (groove type), the working profile of the cam is formed. This is the process of machining simulation and three-dimensional modeling of the space indexing cam, and the results are shown.

Concluding remarks On the basis of a lot of research on the design and manufacture of space cam, the author gives the trajectory equations of various spatial indexing cam tool centers, and develops a special program, which can be directly applied to production and can be dynamic. The machining simulation generates a CNC machining program, which improves the efficiency and accuracy of the programming, and can be further transferred to the 3DS for the animation display of the space cam mechanism. The developed software has been successfully applied to the step feeding mechanism of the toothpaste hose capping machine.

(Finish)

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