A kind of method for designing of serration gear hobbing cutter
Technical field
The present invention relates to the method for designing of a kind of serration gear hobbing cutter, belong to automobile power steering gear assembly steering arm shaft
Serration processing technique field.
Background technology
Steering arm shaft serration (see figure 1) in existing automobile power steering gear assembly, is to use gear hobbing round tool
(see figure two) profile of tooth is processed.Cutting due to hobbing is to process with generating, and serration profile of tooth two lateral tooth flank is faced directly again, as
Fruit uses generated simulation method in theory, and the tool-tooth profile drawn should be involute curve.But tradition gear hobbing cutter profile of tooth is to use at present
Circular arc line approximation involute curve, the workpiece profile of tooth that this tool sharpening goes out just is similar to face directly, for serration angle essence
Spend the workpiece profile of tooth of less demanding (angle precision is at ± 2 °), requirement can be met;But it cannot meet angle ±
The high tolerance requirement of 0.2 ° of workpiece profile of tooth.
Summary of the invention
It is an object of the invention to: the method for designing of a kind of serration gear hobbing cutter is provided, is produced by the method
Serration gear hobbing cutter can replace traditional arc toothed cutter, is effectively improved serration angle precision, thus meets workpiece
The high tolerance requirement of profile of tooth.
The present invention is achieved by the following technical solution:
The method for designing of a kind of serration gear hobbing cutter, it is characterised in that it comprises the following steps:
1), first pass through rack and pinion path of contact method, obtain conjugation tool-tooth profile;
2) XOY coordinate system, is set up;With workpiece toothed surface summit as meshing point (i.e. O point), set up XOY coordinate system;
3), drawing profile of tooth circle, workpiece profile of tooth is rectilinear triangle, workpiece centre O1 draw the circle being cut in teeth outline, and this circle is profile of tooth
Circle, its radius r=R*sin γ;
4) engagement null circle, is drawn;.With workpiece axle center O1 as the center of circle, radius is that R draws engagement null circle (i.e. outside circle), namely crosses and nibbles
Chalaza O(i.e. zero);
5), meshing point circular division;On engagement null circle, from meshing point O(i.e. zero), intercept some equal circular arc lines
Section, indexes, and invocation point 1,2,3,4------;
6) profile of tooth circle tangent line, is drawn.By some meshing point circular division point 1,2,3,4------draw the tangent line of profile of tooth circle respectively.This
Sample must go out the continuous position of rotation of workpiece profile of tooth;
7) vertical line (i.e. normal), is done.Due to conjugate tooth profile common normal at contact point, to have to pass through node O(i.e. coordinate former
Point).So crossing O point can do vertical line (i.e. doing normal), with corresponding workpiece tooth to the workpiece profile of tooth circle tangent line of diverse location
Shape circle tangent line intersects at 1 ', 2 ', 3 ', 4 '------;
8), index in X-axis.X-axis intercepts Along ent a, b, c, d------, makes Oa=O1;ab = 12;Bc=23;cd
= 34--------;
9), vertical line is replicated.Respectively by line segment O1 ', O2 ', O3 ', O4 '------replicate with OX axle on put a, b, c,
D--------intersects, and draws line segment aa ', bb ', cc ', dd '--------;
10) conjugation cutter involute curve, is drawn.Junction point a ' b ' c ' d '-----draws and is conjugated cutter involute curve with workpiece;
11) cutter normal tooth profile, is obtained.Reference diameter according to workpiece, tooth pitch, height of teeth top, height of teeth root and design cutter
Profile of tooth;
12), simplation verification: above profile of tooth is carried out computer simulation processing again and verifies the correctness of tool-tooth profile;
13), tool sharpening: by OX coordinate axes, the coordinate of tool-tooth profile a ' b ' c ' d '-----each coordinate points can be calculated
Value;Profile of tooth can be drawn out by coordinate figure.By tool-tooth profile a little coordinate figure input numerical control machine tool program in,
Can process and meet the serration gear hobbing cutter that the high tolerance of workpiece profile of tooth requires.
The present invention having the beneficial effects that compared with prior art:
The present invention utilizes rack and pinion to engage method, obtains cutter normal direction conjugate tooth profile, thus replaces tradition arc toothed.For
Serration profile of tooth large-scale, high-precision, can be substantially improved the machining accuracy of workpiece profile of tooth.
Accompanying drawing explanation
Fig. 1 is the schematic diagram of steering arm shaft serration;
Fig. 2 is the profile of tooth schematic diagram of gear hobbing round tool;
Fig. 3 is the gear hobbing cutter profile of tooth schematic diagram of serration of the present invention;
Fig. 4 is enlarged diagram at the A of Fig. 3;
Fig. 5 sets up XOY coordinate system figure;
Fig. 6 is profile of tooth circle diagram;
Fig. 7 is meshing point circle diagram;
Fig. 8 is meshing point circular division figure;
Fig. 9 is profile of tooth circle tangent line figure;
Figure 10 is vertical line charting;
Figure 11 is indexing figure in X-axis;
Figure 12 is for replicating vertical line charting;
Figure 13 is cutter involute curve figure;
Figure 14 is cutter normal tooth profile figure;
Figure 15 is the processing workpiece simulation drawing of tool-tooth profile.
Detailed description of the invention
First pass through rack and pinion path of contact method, obtain conjugation tool-tooth profile (seeing accompanying drawing 3,4);Set up XOY to sit
Mark system;With workpiece toothed surface summit as meshing point (i.e. O point), set up XOY coordinate system (seeing accompanying drawing 5);Picture profile of tooth circle, workpiece tooth
Shape is rectilinear triangle, workpiece centre O1 draw the circle being cut in teeth outline, and this circle is profile of tooth circle, and its radius r=R*sin γ (sees
Accompanying drawing 6).With workpiece axle center O1 as the center of circle, radius is that R draws engagement null circle, i.e. outside circle, namely crosses meshing point O(i.e. coordinate former
Point) (seeing accompanying drawing 7).
Meshing point circular division;On engagement null circle, from meshing point O(i.e. zero), intercept some equal circular arcs
Line segment, indexes, and invocation point 1,2,3,4------(see accompanying drawing 8).
Draw profile of tooth circle tangent line;By some meshing point circular division point 1,2,3,4------draw the tangent line of profile of tooth circle respectively, by
This draws the continuous position of rotation (seeing accompanying drawing 9) of workpiece profile of tooth.
Owing to conjugate tooth profile common normal at contact point has to pass through node O(i.e. zero), so it is permissible to cross O point
Vertical line (i.e. doing normal) is done to the workpiece profile of tooth circle tangent line of diverse location, intersect at 1 ' with corresponding workpiece profile of tooth circle tangent line,
2 ', 3 ', 4 '------(see accompanying drawing 10).X-axis intercepts Along ent a, b, c, d------, makes Oa=O1;ab = 12;bc
=23;Cd=34--------(sees accompanying drawing 11).
Respectively line segment O1 ', O2 ', O3 ', O4 '------are replicated and intersect with some a, b, c, d--------on OX axle, draw
--------(sees accompanying drawing 12) for line segment aa ', bb ', cc ', dd '.Junction point a ' b ' c ' d '-----draws and is conjugated cutter with workpiece
Involute curve (sees accompanying drawing 13).
Reference diameter according to workpiece, tooth pitch, height of teeth top, height of teeth root and design tool-tooth profile (seeing accompanying drawing 14).
Above profile of tooth is carried out computer simulation processing again and verifies the correctness (seeing accompanying drawing 15) of tool-tooth profile
By OX coordinate axes, the coordinate figure of tool-tooth profile a ' b ' c ' d '-----each coordinate points can be calculated;Pass through coordinate figure
Profile of tooth can be drawn out;By tool-tooth profile in coordinate figure input numerical control machine tool program a little, can process full
The serration gear hobbing cutter that the high tolerance of foot workpiece profile of tooth requires.