Gear cutting machines with guitar cone. Gear cutting machine for cutting bevel wheels. Computer numerical control

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10.3. Main parts and setup of machines for cutting bevel wheels with circular teeth. Setting up the kinematic chains of the 527B gear cutting machine.

The machine (Fig. 10.1) is designed for cutting the teeth of bevel and hypoid wheels with circular teeth using a gear-cutting head using the rolling method, plunge-in or a combined method - cutting and rolling. The dividing rotation of the product is carried out periodically one step after the end of profiling the cavity of one tooth.

Rice. 10.1. Gear cutting machine 527B

In table 10.3 provides a list of the main parts and controls of this machine.

10.3. Main parts and controls of the 527B gear cutting machine

Position in Fig. 10.1 Purpose of parts and controls
1
2

Cover of the feed drive box, feed guitar and control guitar

3

Niche cover with hydraulic equipment and control dial

4

Remote Control

5

Niche cover with guitar modification

6

Tool rack

7

Mechanism with guitar roll-in

8
9

Cutting head

10
11

Traverse with rolling and dividing mechanisms

12

Product head

13

Divide guitar box cover

14

Product headstock axial installation shaft

15

Product headstock fixation roller

16

Table installation shaft in longitudinal direction

17
18

Coolant valve handle

19

Hydropanel

20

Table and hydraulic clamp control handle

Kinematic diagram of the 527V machine(Fig. 10.2) consists of the following main kinematic chains: tool rotation (main movement), division, rolling, feed, control and modifier.

Increase

Rice. 10.2.

Note. z - number of cut teeth; δ is the angle of the pitch cone of the wheel being cut, ω l is the angular velocity of the cradle swing, α d.u is the swing angle of the control disk; θ l - swing angle of the cradle; K m - modification coefficient, α m.d - modifier swing angle, v - cutting speed, d 0 - cutting head diameter.

The control circuit connects the rotation of the cradle L with the rotation of the remote control dial and is adjusted to the minimum possible value of the cradle swing angle, which is determined practically when setting up the machine. An excessively large swing angle of the cradle worsens the surface roughness of the teeth and increases the load on the cutter. Insufficient swing angle will result in under-profile of the cut tooth.

The modification chain connects the additional rotation of the cradle and the axial movement of the 1/240 transmission worm from the MD modifier.

In table 10.4 shows the formulas for setting the kinematic chains of the machine.

The increase in the number and types of gears produced causes an increase in the fleet of gear cutting machines. The number of high-performance special machines and precision machining machines is increasing. With all the variety of machine tools and cutting tools used for cutting gears, it is necessary to distinguish between two methods of manufacturing wheels, namely: the method of copying the profile of the cutting tool and the rolling (bending) method, based on the mechanical reproduction of gearing. Wheel cutting using the copying method is carried out by milling, planing, grinding and broaching. The tool cuts cavities between teeth on the workpiece, with the tooth profile exactly matching the profile of the cutting tool. After processing each cavity, the workpiece must be rotated by one tooth. This is achieved using a dividing head.

This method is characterized by low productivity and low accuracy. The tools can be a planer cutter, a modular disk cutter, a modular finger cutter and a shaped grinding wheel. The most widely used method in practice is the method of mechanical reproduction of gearing - rolling (bending). It consists in the fact that the workpiece and the tool are given movements that reproduce the adhesion of a pair of mating gears or a wheel with a gear rack, and at the same time the cutting tool performs the working cutting movement. This method differs from the previous one in greater productivity and accuracy, and one tool can cut many wheels of a given module, regardless of the number of teeth. The concept of an enveloping and bending line forms the basis for the formation of an involute tooth profile by cutting. When gear cutting using the bending method, the profiles of the cutting edges of the tools, moving, occupy a number of successive positions relative to the profiles of the gear teeth, while cutting off the metal in those places where the tooth cavities should be. Involute profiles of the processed teeth appear in this case as envelopes of a number of indicated sequential positions of the cutting edges, or otherwise as envelopes of a series of successive metal cuts. Therefore, this method of profiling teeth is called the rounding or rolling method.

Gear cutting machines produced by our machine tool industry are divided into various types according to the following characteristics:

a) for its intended purpose - for cutting cylindrical wheels with straight and helical teeth, worm wheels, chevron wheels, gear racks, bevel wheels with straight teeth and bevel wheels with curved teeth;



b) by type of working movement - gear hobbing, gear shaping, gear cutting and gear pulling;

c) by the nature of the processing - for cutting teeth and for finishing (finishing) teeth.

In the practice of machine tool building, it has been recognized as advisable to create dimensional ranges of unified machine tools, in which various modifications, in particular special and specialized machines, are created based on a small number of basic models. In table 1 shows the main indicators of the range of machines, the development of basic models of which has already begun.

Main indicators of the range of gear-processing machines

Table 1

Name of the range of machines Maximum processing diameter D and module m in mm Number of models Accuracy class
basic modified
Hobbing:
working with disc cutters 12 and 50; 0.5-1 ________ P
working with a hob cutter 80, 125 and 200; 0.5-4 N, P, A
working with a hob cutter 320, 500, 800 and 1250; 1-12 N, P, A
for bevel wheels 200, 320, 500 and 800; 1-16 N, P, A
Gear shaping 80, 200 and 500; 0.2-8 N, P
Gear grinding:
working with an abrasive worm 125, 200, 320 and 500; 0.2-6 B, A
working in a conical circle 320, 500, 800 and 1250; 1-16 ________ IN
working with a disc wheel 320, 500, 800; 1-12 ________ A
for bevel wheels 320 and 800; 1-16 IN
Gear-rounding 125, 320, 500 and 800 N
  1. Gear shaping machines

The processing of wheels on gear shaping machines is carried out with a cutting tool made in the form of a gear wheel - a cutter. On these machines, spur wheels of external and internal gearing are cut, and if there is a copier and a helical cutter, helical wheels are cut. In addition, these machines can cut blocks of several wheels. The advantage of these machines is the continuity of work without wasting time on approaching and leaving the workpiece. Before we begin to study the design and kinematics of a gear shaping machine, we will consider the basic shaping movements necessary for the manufacture of a cylindrical gear. To do this, let's turn to the block diagram of the machine (Fig. 1). To form a straight tooth, two kinematic groups are required: to obtain a profile that carries out a complex relative movement - rotation of the cutter B 2 and rotation of the workpiece B 1, to obtain the shape of the tooth along the length - a simple translational movement of the cutter II with the adjustment element i v. The first kinematic group consists of a dividing chain, the final links of which are the rotation of the cutter and the rotation of the table with the workpiece, adjusted by the tuning element i x .

The calculated movements of this chain will be:


where z D and z are the number of teeth of the cutter and the wheel being cut.

The second chain of the first kinematic group is the feed chain, adjusted by the tuning element i s. Feed S in these machines means movement along the initial circle of the cutter in one double stroke. The estimated movements will be 1 door. cutter stroke -> S mm movement along an arc.

In addition to the form-building movements considered, one more movement is necessary to ensure that the cutter cuts into the workpiece to the full height of the tooth. This movement is called radial feed and is carried out in machines either from special disk cams or from a wedge copier moving from a hydraulic cylinder.

Fig. 1: Block diagram of a gear shaping machine

Fig. 2: Semi-automatic gear shaping machine 5140.

The main components of the machine are located on the frame 1 (Fig. 2) and inside it: table 2, stand 3, hydraulic drive panel 4 and hydraulic equipment. On the horizontal planes of the guides of the frame 1, the table 2 moves, on which the workpiece is installed. The movement of the table along the guides is carried out by a hydraulic cylinder fixed in the rack 3. On the left side of the frame, the rack and the cylinder of the radial plunge mechanism are attached. The machine can perform roughing, semi-finishing (for subsequent shaving) and finishing processing in one, two and three passes. Processing on the machine is carried out according to an automatic cycle (with a change of processing modes), including the supply and removal of the workpiece to the tool. A hydraulic chuck is provided to secure the workpiece. To work with an automatic cycle of two and three passes, the machine provides automatic switching of speeds and feeds, according to the machine operating cycle, when moving from roughing to finishing passes.

The semi-automatic mechanisms perform the following movements:

a) the main movement is the reciprocating movement of the cutter in the vertical plane;

b) rolling movement (dividing movement) - rotation of the cutter and table with the workpiece;

c) the cutting movement of the radial feed of the table;

d) auxiliary movements - accelerated rotation of the workpiece, operation of the counting mechanism that controls the automatic processing cycle.

Fig. 3: Kinematic diagram of the 5140 machine

The main movement of the cutter(Fig. 3) is carried out from the electric motor 60 through V-belt transmission 1 - 2, gearbox, V-belt transmission 20 - 21 to the central shaft / drive of the slider (ram). At the end of this shaft there is a slider that carries the rocker stone with screw 46. It is installed in a certain position, as a result of which the stroke of the ram is adjusted. The gearbox has two friction clutches (61 and 62) and two blocks (5 - 3 and 8 - 10 - 12) to obtain roughing and finishing cutting speeds. During finishing, the movement from pulley 2 through wheels 13, 14, 15 and others is transmitted to pulley 20. During roughing, movement from pulley 2 is transmitted through block 3 - 5, coupling 62, wheels 14, 15 and others to pulley 20.

Circular feed borrowed from the gearbox shaft /// through a worm gear 22 and 23 and reverse rolling wheels 24, 25, 26, 27 and 28 onto the shaft ///, then through a circular feed box, which has three double blocks, and through wheels 40, 41 to the worm pair 44 - 45. The worm wheel is mounted on a ram, which, together with the cutter, receives a circular feed.

Roll-in chain connects the rotation of the workpiece and the tool. This connection is made from the table through pairs 48, 47, 52 and 5l, a pair of conical wheels 53 and 54, a conical snaffle 55 and 56, a division guitar with wheels d - c - b - a, wheels 40, 41, 42 and 43 to the worm couple 44 - 45.

Accelerated rotation of the workpiece, necessary for checking the runout, is reported by the electric motor 60 during reversal. It is transmitted using gears 1 - 58, 59 - 57, 51 - 52 and 47 - 48. The overtaking clutch 64 is activated, rigidly connecting to the shaft.

Plunge movement to the tooth depth is carried out by moving the table towards the cutter using a supply hydraulic cylinder. Plunging begins after the table stops in the wedge copier K. At the same time, the pressure switch is activated and sends a command to turn on the radial feed cylinder. Thanks to this, the copier K begins to slowly lower and the table begins to move toward the table.

Counting the full rotation of the table with the workpiece is done by a counter. The meter is driven by a cam (not shown in the diagram) through a lever. As the cam rotates, the lever through the pawl turns the ratchet wheel 1/140 of a revolution per revolution of the cam. The pawl serves to secure the ratchet wheel. For two revolutions of the ratchet wheel, the locking disk will make one revolution, which corresponds to one revolution of the table with the workpiece. One revolution of the disk is counted by a lock and a travel switch. To turn off the counter during cutting, there is a pushing electromagnet that moves the pawl away from the ratchet wheel. To set the counter to its original position, you need to turn the disk so that the latch fits into the slot of the disk. The pawl serves to turn off the counter when the table rotates quickly. For partial rotation of the table when processing sectors, a stop is used, which is installed on the disk at a given angle.

Setting up a semi-automatic 5140. When setting up the machine, set the gearbox and feed box to the appropriate speeds, and also select the number of teeth of the replacement wheels of the guitar. The initial data for setting up the machine are: the number of teeth of the cut wheel z, module m, the number of cutter teeth z d it and the material of the wheel being cut.

Calculation of the number of double strokes of the cutter. The movements of the end links in this case will be rotation of the electric motor shaft 60 and linear movement of the slider. Estimated displacements: n of the electric motor shaft ―> n dx double stroke/min of the slider. Using the kinematic diagram of the machine (Fig. 3), we will compose the kinematic balance equation


The value of n dx is compared with the machine’s passport data and the closest value is taken, while setting the gearbox handles to the appropriate position. The machine operates in roughing and finishing modes. In the first case, when you turn off clutches 61 and 62 on the ram using the gearbox, you can get 12 double strokes. In the finishing mode, clutch 61 is turned on and clutch 62 is turned off. In this case, on the ram of the machine we get six different double strokes with a control limit of 160 - 500 strokes. stroke/min. It should be noted that in the draft mode, five numbers of double moves are repeated. The regulation limit for roughing mode will be 80 - 310 doors. stroke/min.

Calculation of replacement guitar division gears. According to expressions (3) and (33), we create an equation of kinematic balance connecting the initial and final links:


where CD = 2 is the fission chain constant.

Calculation of replaceable gears for changing circular feed. In one double stroke, the cutter must remove a layer of metal corresponding to the value of the circular feed S. From the kinematic diagram it follows that the cutter makes one double stroke per revolution of the shaft /. The product of one revolution of the shaft / by the gear ratio of the chain from the shaft / to the spindle of the cutter is the number of revolutions of the cutter in one double stroke. If we multiply the number of revolutions of the cutter by the length of its initial circle πd d, we obtain the amount of movement of the cutter along the initial circle in one double stroke or, in other words, the value of the circular feed S.

Let's write


where F is the working area of ​​cylinder D 1 in cm 2.

At this speed, radial feed per 1 door. ram stroke

where n dx is the smallest number of double strokes of the ram per minute.

At n dx = 310 radial feed S rad = 1.66/310 = 0.005 mm/double stroke.

The highest oil consumption through the throttle Q 2 = 1.5 l/min. Thus, the range of change in throttle feed Q 2 /Q 1 =1500/70=21. At the highest oil flow through the throttle, the radial feed S rad = 0.02 *21 = 0.4 mm/double stroke for n dx = 80 and S rad = 0.005 *21 = 0.11 mm/double stroke for n dx = 310.

Setting the number of passes and plunge depth. The number of passes and the plunge depth are set by cams 5 (see Fig. 2), the number of which determines the number of passes, and their position is found on the plunge scale on control drum 6. After installing and clamping the part, when you press the “Start” button, the machine cycle will take place in next sequence. In a single-pass cycle, the workpiece moves toward the tool until the table rests against a rigid stop. In this position, the table is pressed against the wedge K by a hydraulic cylinder (see Fig. 3). When the table rests on the wedge, a pressure switch is activated, which gives the command to turn on the radial plunge. Radial infeed at the speed set by throttle 7 (see Fig. 2) occurs until the stop presses the infeed end travel switch, which gives the command to switch the feed and turn on the counter. After a complete rotation of the workpiece, the counter is triggered and gives a command to accelerate the retraction of the radial cutting wedge K (see Fig. 2) to its original position and turn off the counter. In the initial position, the radial plunge wedge gives the command to retract the table. To operate with two and multi-pass cycles, it is necessary to set the required number of plunge depth stops on the control drum, install the speed switch and the finishing and rough circular feed switch. After securing the part and starting the machine, the work will proceed in the same way as with a single-pass cycle. After one revolution of the table, the feed switches. Plunging will occur until the next cam mounted on the drum presses on the corresponding travel switch. The latter, when triggered, gives the command to turn on the counter and turn off the radial feed. The machine will operate in the described mode as many times as there are cams installed on the control drum. Setting up a machine for cutting helical gears is no different from the usual one. In this case, copiers with screw guides are installed, which impart additional rotation to the cutter. As a result of the rotational and reciprocating motion, the teeth of the cutter will be mixed along a helix, the angle of inclination of which should be equal to the angle of inclination of the helix of the teeth of the cut wheel on the dividing cylinder. If T and T kp are the steps of the helix of the cut teeth and the copier, and β is the angle of inclination of the helix of the tooth, then


Screw guides (copiers) are supplied to the machine upon special order. The calculated movements established for cutting spur gears remain the same when cutting helical wheels. The disadvantage of this method of cutting helical wheels is that with a change in the angle of inclination of the gear teeth, both the screw guides and the cutters must change.

  1. Gear hobbing machines using the copying method.

Scheme of teeth processing using the copying method. The workpiece is installed on the mandrel of the dividing device or in the fixture of the milling machine. To cut teeth on a workpiece, three movements are required: the main movement is the rotation of the cutter; the feed movement is the relative movement of the tool along the generatrix of the tooth; division movement - periodic rotation of the workpiece by one tooth after processing the next cavity.

In large-scale and mass production conditions, the copying method is used for pre-processing of teeth. For this purpose, special machines operating in a semi-automatic cycle are used. Pre-treatment of the cavity is most often carried out using modular disk cutters. Gear hobbing machines for these purposes are produced in two versions - for pre-processing the teeth of cylindrical and bevel spur gears. Their kinematics and design are the same, the only difference is that machines for processing bevel wheels have a more complex device assembly for installing workpieces.

The principle of milling bevel gear teeth. A cutter is installed on the milling head mandrel, and the workpiece is secured to the spindle of the rotary device. By giving the tool a vertical feed, the wheel cavity is milled. At the end of processing each cavity, the spindle makes a dividing movement.

Spindle installation angle α=φ-γ 1,

where φ is half the angle at the apex of the initial cone of the wheel;

γ 1 - leg angle.

Under this condition, the bottom of the cavity coincides with the direction of the vertical feed of the cutter. The rotary device is two-position. During processing of the workpiece, the next workpiece is installed. By rotating the table 180º, the workpiece is brought to the cutter. When milling cylindrical gears, the axes of the spindles of the fixture are parallel to the vertical guides of the headstock.

  1. Gear hobbing machines using the rounding method.

Gear hobbing machines operating using the rounding method are designed for processing cylindrical wheels with straight and oblique teeth, as well as worm wheels. When cutting teeth, the rotation of the cutter and the workpiece must be coordinated with each other. To ensure this condition, the machine has a special circuit, the configuration diagram of which is shown in Fig. 4. If the wheel has z teeth and makes n k revolutions, and the cutter makes n f revolutions during this time, then the gear ratio i x between the number of revolutions of the wheel and the cutter

If the cutter has z" entries, then the gear ratio will be expressed by the formula


Rice. 4. Schematic diagram of setting up a gear hobbing machine

Let's consider the shaping movements of the machine to form the profile of the teeth, for which we turn to the structural diagram of the machine (Fig. 5). When cutting a spur gear, it is necessary to carry out the main rotational movement of the cutter B 1, which is regulated by the setting element i v; rotation of the workpiece B 2 coordinated with the rotation of the cutter B 1, movement of the support with the cutter parallel to the axis of the table II, adjusted by the body i e. The support can move either from top to bottom or from bottom to top. When the support moves from top to bottom, counter milling is carried out. In this case, when the cutter rotates, the teeth move towards the layer of metal being cut. When the support moves from bottom to top, down milling occurs. In this case, the cutter teeth move in parallel with the layer of metal being cut. When down milling, it is allowed to increase the cutting speed by 20 - 25% compared to the down milling method.

Fig. 5: Block diagram of a gear hobbing machine

When cutting helical wheels To the form-building movements discussed above, a movement is added to form a helix (differential chain). This movement consists of the rotation of the workpiece B 3 and the translational movement of the cutter II. Consequently, one executive link - the machine table - must have two rotations B 2 and B 3 with independent speeds, which is possible with the presence of a summing mechanism SM. This circuit is tuned by the tuning link i y. Let's compile the calculated displacements for the case of cutting helical wheels:

1. Rotational movement of cutter B 1. The movements of the end links here are the rotation of the electric motor shaft and the rotation of the cutter. Estimated movements:

n rpm ―> n f rpm

2. Chain for the formation of an involute (the dividing chain connects the rotation of the table and the cutter B 2, B 1). Estimated movements:

3. Feed chain. The movements of the end links are the rotation of the table and the longitudinal movement of the cutter support (B 2, P).

Design movements: 1 table rotation―>S in

where S in is the vertical movement of the caliper per 1 revolution of the workpiece in mm.

4. Formation of a helix (differential chain). The movements of the end links are table rotation and translational movement of the cutter (B 2, B 3, P). Estimated movements: 1 rev. table ―> T mm of cutter movement, where T is the pitch of the helix of the tooth.

When cutting a straight tooth The structure of the machine is simplified by changing the structure of the kinematic group for forming the tooth shape along the length. Instead of a complex screw movement, in this case it is necessary to carry out a simple, linear one. The tuning element i y is not adjusted, and the summing mechanism is turned off.

Semi-automatic gear hobbing machine 5K324 Designed for cutting cylindrical spur and helical gears, as well as worm wheels using the radial and axial feed method.

Technical characteristics of the machine:

Maximum workpiece diameter in mm........................500

Module in mm................................................... ..............................8

The largest diameter of the hob cutter in mm...................180

Power of the main movement electric motor in kW......7

Cutter rotation speed in rpm...................50 - 310

Innings................................................. ...........................0.8 - 5

General view of the machine. The table slide is installed on the frame. The table can move in a radial direction. On the left side of the frame there is a stand, on the vertical guides of which a support with a milling head is installed. Thanks to the presence of a turning circle, the cutter together with the milling head can be rotated to a given angle. On the right side of the table there is a stand, along the vertical guides of which a bracket moves, supporting the upper end of the mandrel on which the workpiece is mounted. The machine operates with an automatic cycle, namely: rapid supply of the workpiece to the tool, gear cutting, rapid retraction of the wheel and tool to its original position and stopping the machine.

Fig. 6: Kinematic diagram of the 5K324 machine

Kinematic chain of the 5K324 machine (Fig. 6). Main movement chain: electric motor 61, belt drive 1 - 2, gearbox (shafts /, //, ///), wheels 13-14, 45 - 46, 70 - 69, 67 - 68, shaft XXIX (mill). The gearbox allows you to get nine different speeds.

Table rotation circuit: electric motor 61, belt drive 1 - 2, three-shaft gearbox, wheels 13 - 14, 15 - 16, differential, gears 21 - 22, e - f replacement guitar wheels divisions a 1 - b 1, c 1 - d 1, wheels 23 – 24 and 90 - 91, worm pair 92 - 91. Wheel 93 is rigidly connected to the table. Dividing chain connecting the rotational movement of the cutter and the table: hob cutter, wheels 68 - 67, 69 - 70, 46 - 45, 15 - 16, differential, gears 27 - 22, e - f, replacement guitar wheels division a 1 - b 1 , from 1 – d 1 wheels 23 - 24 and 90 - 91, worm gear 92 - 93.

Vertical feed chain: worm pair 93 - 92, wheels 91 - 90 and 24 - 23, worm gear 25 - 26, wheels 27 - 28, three-shaft feed box, wheels 38 - 42 and 79 - 78 - 77, worm gear 86 - 87, vertical feed screw with step t 1 = 10 mm. The feed box, by switching electromagnetic clutches, provides nine different feeds within the range of 0.8 - 4 mm/rev. For accelerated movements, an electric motor 62 is provided.

Accelerated vertical feed is carried out along the chain: electric motor 62, belt drive 44 - 43, wheels 79 - 78 - 77, worm gear 86 - 87, vertical feed screw with pitch t 1 = 10 mm.

Additional chain connecting the rotational movement of the cutter and the workpiece: table, worm pair 93 - 92, wheels 91 - 90, 24 - 23, worm gear 25 - 26, wheels 27 - 28, three-shaft feed box, wheels 38 - 42, 79 - 78 - 77, 76 - 75, replacement guitar wheels differential a 3 – b 3 s 3 – d 3, wheels 74 - 73, worm pair 19 - 20, differential, wheels 16 - 15, 45 - 46, 70 - 69, 67 - 68, cutter.

Radial feed chain for cutting worm wheels goes from the table through a worm pair 93 - 92, wheels 91 - 90, 24 - 23, 25 - 26, 27 - 28, feed box, wheels 38 - 42, 80 - 81, 82 - 83, worm gear 84 - 85, screw with step t 2 = 10 mm. The axial feed chain for cutting worm wheels has the direction: table, worm pair 93 - 92, wheels 91 - 90, 24 - 23, worm gear 25 - 26, wheels 27 - 28, feed box, wheels 38 - 42, 79 - 78 - 77 , 76 - 75, 66 - 65, replacement guitar feed wheels a 2 - b 2, c 2 - d 2, wheels 60 - 59, 58 - 57, worm pair 47 - 48, wheel bushings 49 - 50, wheels 51 - 52 , 53 - 54, worm pair 55 - 56, threaded bushing with pitch t 3 = 12 mm, cutter.

Setting up semi-automatic machine 5K324. To ensure normal operation of the machine, before starting it, it is necessary to pay attention to the correct installation of the workpiece on the table, the installation of the cutter, the correct determination of the milling depth and the adjustment of the replacement wheels. The workpiece is mounted on special mandrels, which are checked for runout with an indicator. The permissible runout value should be in the range of 0.01 - 0.02 mm. After installing the workpiece on the mandrel and securing it, the workpiece is checked for runout along the outer diameter and end. When cutting straight-toothed cylindrical wheels, the hob cutter is installed obliquely at an angle φ to the horizontal plane equal to the angle γ of the helix of the cutter (Fig. 7, a). When cutting helical wheels, the angle of inclination of the cutter is γ = α ± β, where α is the angle of inclination of the teeth of the cut wheel to its axis. The plus sign will be for opposite directions of the helical lines of the teeth of the cut wheel and the cutter, and the minus sign will be for the same directions (Fig. 7, b, c).

When cutting worm wheels, the cutter is installed horizontally, i.e. φ = 0º.

Fig. 7: Installation of hob cutter

Setting up a gear hobbing machine for cutting spur gears. The initial data for the calculation are: module m, number of teeth of the wheel being cut, workpiece material, cutter diameter, cutter lead z", angle of inclination of the grooves β and material of the cutting part. To process the teeth of spur gears, three movements are required: rotation of the cutter, rotation of the workpiece, movement feed. When calculating the speed chain setting, knowing the cutting speed U and the cutter diameter d f, find the cutter rotation frequency n f and set it using the gearbox. When setting the dividing chain (coordinated movement of the workpiece and cutter), the kinematic balance equation according to the calculated movement will be


The gear ratio of the differential mechanism in this case is i diff = 1. Solving the equation


dividing guitars. For z ≤ 161, wheels are installed, and for z ≥ 161, wheels are installed


Setting up a machine for cutting teeth on cylindrical wheels. To process the teeth of helical gears, the same movements are required as for spur gears. But the relationship between the rotation numbers of the cutter and the workpiece is somewhat different here, since additional rotation of the table is required to form an oblique tooth. The latter may or may not coincide with the direction of the main rotation of the workpiece. This depends on the direction of the helical lines of the turns of the hob cutter and the teeth of the wheel being cut. In the first case, the additional turn is added to the main one, in the second, it is subtracted.

The differential adjustment method is used if additional rotation of the workpiece is communicated through a special kinematic chain through a differential, which sums up the main and additional rotation and transmits it to the table. To calculate the guitar differential tuning we use the following reasoning. If the screw t 1 = 10 mm is turned one turn, then the caliper and hob cutter will move by the amount of the screw pitch. For such movement of the cutter, the additional rotation of the workpiece (table) will be:


Non-differential tuning method used in the case when the main and additional rotations of the workpiece are imparted by one kinematic chain - the division chain. This method is rarely used due to the complexity of selecting replacement wheels for a break-in guitar. In this case, it is necessary to coordinate the rotation of the cutter and the workpiece accordingly. When cutting straight teeth, in one revolution of the cutter the table with the workpiece will make z΄/z revolutions, and in one revolution of the table the cutter will make z/z΄ revolutions. If the value of the vertical feed is s, and the width of the wheel is equal to the pitch of the helical groove T, then during the movement of the cutter relative to the workpiece by an amount of T, the table with the workpiece will make T/S in

For i diff = 1, the ratio e/f = 1 and


Setting up a machine for cutting worm wheels. There are two methods for cutting the teeth of worm wheels: radial and tangential feed. When milling the teeth of worm wheels with a radial feed, the cutter moves towards the workpiece in the radial direction until dimension A is maintained between the axis of the cutter and the center of the wheel being cut. To implement this method, the following movements are required: rotation of the worm cutter, rotation of the workpiece and radial feed cutters. The cutter and workpiece perform the same rotational movements as they do when cutting spur gears, so the division guitar is adjusted in the same way. The vertical feed circuit of the caliper is switched off.

Setting up the feed rate when processing wheels using the radial feed method is calculated based on the following considerations. For one revolution of the workpiece (table), the cutter will move by the amount of radial feed Sp. Consequently, the initial link of the kinematic chain will be the table, and the final link will be the screw with a pitch t 1 = 10 mm: 1 rev. table -> Sp mm/rev, table. Kinematic balance equation:


When processing worm wheels using the tangential feed method, worm cutters with a conical intake part are used. The cylindrical part of this cutter corresponds to the size and profile of the worm, in engagement with which the wheel being cut will work. The cutter is set relative to the workpiece at the given center-to-center distance A. Along with the rounding (rolling) movement, the cutter is given a feed along its axis. When cutting the teeth of worm wheels using a given method, the following movements are required: rotation of the cutter, rotation of the workpiece, axial feed of the cutter, additional rotation of the workpiece caused by the axial movement of the cutter. Calculating the machine settings comes down to determining the gear ratio and the number of teeth of the guitars and feedbox. The speed and pitch chains are adjusted in the same way as when processing cylindrical spur wheels.

The setting of the tangential feed chain (axial) of the cutter is calculated as follows. If the axial feed of the cutter is per revolution of the table, then the calculated movements will be 1 revolution. table ->S o mm/rev. Kinematic balance equation:


When setting up a differential guitar, proceed from the following considerations. The hob receives axial movement and, therefore, like a rack, rotates the wheel being cut in addition to its axial rotation. This additional movement is communicated to the workpiece through the differential, i.e., if the cutter is moved along the axis by the amount of the end engagement pitch t s, then the threaded bushing with a pitch of 12 mm will rotate by one revolution, and the workpiece by t s / 12 revolutions. Taking the threaded bushing as the initial link, and the table as the final link, we will write the calculated displacement t s /12 rpm. bushings ―> 1/z rev. table.

Kinematic balance equation:


Bearing in mind that


we get

where m is the normal module;

β - angle of inclination of the helix of the tooth to the wheel axis;

C m = 2.65258 is the chain constant.

Diagonal milling. Gear cutting tools are very complex and expensive, so measures aimed at increasing their durability occupy an important place when operating gear hobbing machines. Suffice it to say that the cost of a gear hobbing tool is 50% of the cost of a gear cutting operation. An analysis of the operation of hob cutters showed that they mainly wear out in a small area, since the contact of the tool with the workpiece is small compared to the length of the cutter. Usually, out of several dozen teeth that the cutter has, only 3 - 5 teeth wear out. Obviously, for more complete use of the cutter, it is necessary to carry out periodic axial movement of the hob cutter. This movement helps to level out wear and increases its durability, and therefore its service life. The greatest effect is achieved by working with continuous axial movement of the cutter while cutting the workpiece using the diagonal gear hobbing method.

Fig. 8: Diagram of gear cutting using the diagonal feed method.

What is diagonal milling? During diagonal gear hobbing, two feeds are simultaneously given to the hob cutter - one parallel to the axis of the wheel being cut and the other along the axis of the cutter, as a result of which the cutter will move diagonally. In Fig. Figure 8 shows a diagram of gear cutting using diagonal feed.

When the cutter travels along its axis equal to 1 r, and vertically - B, the machine table


will make revolutions

where S p - vertical feed in mm/rev;

S o - axial feed in mm/rev;

B is the width of the gear in mm;

l р - working length of the cutter, the value which can be taken 1р = L - 6.6 m, in mm

L - length of the front part of the cutter in mm:

m is the gear module in mm.

To carry out diagonal milling, it is necessary to have a special support on the machine that would ensure continuous movement of the cutter. The machine model under consideration has such a device. When setting up the machine for the diagonal method of cutting spur gears, it is necessary to additionally configure the axial feed guitar and the differential guitar. Let us present these additional calculations (Fig. 6). The vertical movement of the milling support is connected to the axial movement of the hob cutter by the following kinematic chain: vertical feed screw XXI, worm gear 87 - 86, bevel wheels 76 - 75, 66 - 65, replacement guitar wheels of diagonal feed a 2 - b 2 c 2 - d 2 , wheels 60 - 59, bevel wheels 58 - 57, worm gear 48 - 47, wheel hub and then to the worm gear 55 - 56. The hub of the worm wheel has a thread cut in increments of 12 mm. The essence of setting up the guitar for the axial feed of the cutter is that during the time when the milling support travels a vertical path equal to S in, the cutter along its axis must move by an amount S o . Estimated movements:

S in mm/rev. -> S 0 mm/rev, cutters.

Kinematic balance equation:

The formula for setting this circuit is:


Taking the value, we find

The second additional guitar when setting up for diagonal gearing is the differential guitar. When moving the hob cutter by the amount of the axial step, the workpiece must additionally rotate by one tooth with a single-cut cutter. Kinematic chain connecting the movement of the milling support lead screw with additional rotation of the machine table: milling support lead screw with a pitch t 3 = 12 mm, worm gear 56 - 55, wheels 54 - 53, 52 - 51, 50 - 49, worm gear 47 - 48, wheels 57 - 58, 59 - 60, b 2 - a 2 d 2, - s 2, 65 - 66, 75 - 76, 76 75, a 3 - b 3 s 3 - d 3, 74 - 73, worm gear 19 - 20, differential, shaft VI, wheels 21 - 22, e - f, a 1 - b 1 and c 1 - d 1, 23 - 24, 90 - 91, worm gear 92 - 93. Estimated movements: t 0 , mm―> z΄/z, vol.

Kinematic balance equation:


where t 0 =m n πz΄/cosβ - axial pitch;

m n. - normal module in mm;

β is the helix angle of the cutter.

Substituting the value

Previously, in most enterprises, the differential guitar was considered by technologists (at least as far as I know). At the moment, at some enterprises, the differential is calculated by technologists, and at some, this “concern” has passed on to gear cutters, to say nothing of when it is necessary to “secretly” make a job! I think this is due to the fact that from mass production of gears there is a transition to production in small enterprises, where this task falls on the shoulders of the gear cutter... My personal opinion, and I have already said this more than once, is that technologists should count the differential, although this skill will not hinder the gear cutter . Of course it’s not difficult, but why the extra responsibility? I think you will agree with me. Mostly no one just wants to take responsibility!

What do you need to know and have to calculate the differential for a gear hobbing machine?

  • Constant guitar differential machine.
  • Angle of inclination along the pitch diameter.
  • Module.
  • There should be a book for selecting replacement gears (an excellent and more acceptable option in electronic form. For example, “Petrik M.I., Shishkov V.A. (1973). Tables for selecting gears.” or “Sandakov M.V. - Tables for selecting gears. Directory."
  • Calculator. I use a calculator on my smartphone.

Formula for calculating guitar differential:

c (machine differential) × sinβ/Mk

That is, the differential constant of the machine is multiplied by the sine of the angle being cut and divided by the module/value k - this is the number of cuts of the cutter. Usually the cutters are single-threaded, if not, then divide the module by multiplying it by 2, for example, if the cutter is double-threaded.

Guitar differential on worm wheels when cutting with a tangential feed, it is calculated using a different formula!

It’s simple, the main thing is not to make mistakes and get confused in the numbers!

Let's calculate the angle differential 10 degrees, 33 minutes, 23 seconds. Constant 15, module 8. Single-start cutter.

We find the sine of the angle 10 33 23. To do this, we convert this angle to decimal. How to do it? 23/3600+33/60+10=0.0063888888888880+0.55+10=10.5563888888889 We determine the sine of 10.5563888888889, it is equal to 0.183203128805159.

Next, open the table for selecting replacement gears (I use Petrik M.I., Shishkov V.A.) and look for the number (gear ratio) 0.343505866509673. In this case, you need to find the closest possible value. 0.3435045 is most suitable. Guitar differential: 43 61 83 92 - the first value is up, the second is down.

Setting up the differential guitar. 43 master, 92 slave. We put 43, connect it with 83, 83 on the same shaft with 61, connect 61 with 92. Like this:

Information about the manufacturer of the semi-automatic gear cutting machine 5S280P

Manufacturer of semi-automatic gear cutting machine 5S280P Saratov plant of heavy gear cutting machines, TZS, founded in 1947.

5S280P Gear cutting machine for bevel gears with circular teeth, semi-automatic. Purpose and scope

The machine is designed for finishing and roughing of bevel gears with a circular line of teeth, with a diameter of up to 800 mm and a module of up to 16 mm. In addition, it can machine hypoid gears.

Gear cutting is carried out using the rolling or plunge method. Face gear cutting heads are used as cutting tools.

On a semi-automatic machine, you can cut by rolling and plunging. When cutting gears, 7-6 degrees of accuracy are achieved according to GOST 1768-56 and the roughness of the machined tooth surface is not lower than class V6 according to GOST 2789-59.

The semi-automatic machine can be used in all branches of mechanical engineering in small-scale, large-scale and mass production.

The use of semi-automatic machines in mass production is ensured by the possibility of multi-machine service by low-skilled workers.

Design features and operating principle of gear cutting machine 5S280P

Unlike other machines of this type, it has:

  • a new layout of units (reduced number of links in the kinematic chain of running and main movement), which made it possible to significantly increase the rigidity and accuracy of the “tool-product” system;
  • independent stepless drive of the running-in and control chain, independent of the main movement drive;
  • original division mechanism, not included in the running circuit;
  • a special control mechanism that provides the work cycle, the required swing angle of the cradle and the depth of feed for infeeding and controls the variable feed rate when working with the rolling and infeeding methods.

On the 5S280P gear cutting machine, a convenient arrangement of controls, the possibility of flexible adjustment, the presence of a chip removal conveyor, hydraulic clamping and pressing of the workpiece, supply and removal of the workpiece stock ensure high productivity of the semi-automatic machine.

The operating principle of this machine is similar to that shown in Fig. 64, a, in which the cutters of the gear-cutting head reproduce in their rotation the tooth of the flat-top producing wheel, and the profile of the teeth of the cut bevel wheel is obtained during the rolling process as enveloping the side surfaces of the teeth of this wheel.

Machining of bevel gears with circular tooth line
according to the scheme of the generating wheel: a - flat-topped, b - conical


The machine can operate using three methods: rolling, plunging and combined.

Running method used for finishing of conventional bevel gears.

Plunge method

Plunge method(without running) are used for rough cutting of wheels of conventional bevel gears, as well as for finishing of semi-running gears, when the pair gear in the transmission is processed by rolling with modification along the profile.

Combined method wheels with an initial cone angle of 70...80° are processed. The method consists in the fact that at the beginning the tool is simply plunged into the workpiece (at a very low rolling speed), and after the tooth has been machined to its full depth, the cutting feed stops, and final processing of the tooth by rolling occurs.

Division in these machines (by 1 tooth) is carried out periodically after the workpiece is removed from the tool.

The machine is semi-automatic, hydraulically equipped and can be used in small-scale, large-scale and mass production.


Circular Bevel Gear Cutting Machines

The group of machines for cutting bevel wheels with a circular line of teeth is the largest and is divided into three subgroups:

  1. machines operating using the rolling method;
  2. machines designed for rough cutting;
  3. machines for finishing cutting using the circular broaching method.

A special place among these subgroups is occupied by machines operating using the rolling method. The machines of this subgroup are universal, and therefore the most complex. Some of them work according to the flat-top producing wheel scheme, others - according to the cone scheme.

The design differences of these machines depend on the forming method, as well as on the structure of kinematic diagrams, internal mechanical connections and the maximum dimensions of the workpieces and determine the features of their adjustments. It is not possible to study the settings of all machines. You can become familiar with the setup features of each machine directly from the manuals supplied with the machine. This chapter will discuss setting up the 5S280P gear cutting machine, which is common in industry. Familiarity with this machine will help you master any other gear cutting machines.


Working space of gear cutting machine 5s280p

The end of the spindle of the gear cutting machine 5s280p

The end of the spindle of the gear cutting head of the machine 5s280p

General view and general structure of the gear cutting machine 5S280P


Photo of gear cutting machine 5s280p


Photo of gear cutting machine 5s280p

Photo of gear cutting machine 5s280p

Semi-automatic gear cutting machine 5S280P precision class P is designed for rough and finishing cutting of bevel and hypoid wheels with circular teeth. The machine has the following design features: the number of links in the kinematic chain of running and main movement is reduced; the cradle is reversed using a conventional friction clutch; the table is brought into the cutting zone and retracted to division is carried out hydraulically using a servo system; the independent drive of the running-in and control chain is independent of the gear-cutting head drive; The division mechanism is hydraulically driven.

The machine operates using cutting and rolling methods. Plunging is used for rough cutting of gears, as well as for finishing cutting of wheels of semi-rolling gears; running-in is used for finishing cutting of all gears, except for semi-running driven ones. The running rotation of the producing wheel is carried out by a cradle carrying a gear-cutting head. The cutting edges of the head reproduce the movement of the side surface of the tooth of the producing wheel.

Division is carried out periodically. Upon completion of profiling of one cavity (when cutting with a double-sided method) or one side of the cavity (when cutting with a one-sided method), the dividing mechanism is turned on, turning the workpiece one step.

Working cycle of the machine. When working using the plunge method, the cradle worm 66 is disconnected from the feed drive, and the drive rotates only the control circuit. A special clamp is put on shafts X VII and X VIII (Fig. 132), which keeps them from turning during division. The feed copier 63 begins to move the table through the servo system. The control dial 61 rotates synchronously with the plunge tracer. The variable feed control copier 64 also rotates synchronously. At the end of the feed, the stop on the control dial gives the command to retract the table with the headstock of the product. At the end of the table retraction, commands are sent to the reverse clutch 70 from power stroke to idle, to the cylinder for changing the running speed, to the cycle counter cylinder, to the clutch 71 of the division mechanism. Division occurs during reverse rotation of the control circuit and ends before the stop on the control dial commands the working stroke.

The running-in method differs from the plunge-in method in that the cradle worm is connected to the running-in drive. The clamp is removed from the shafts XVII and XVIII and, instead of it, replacement wheels of the rolling guitar are installed on these shafts, and the cutting tracer is replaced with a finishing cutting tracer. Otherwise, the work cycle is the same as for cutting.


Location of the main components of the gear cutting machine 5s280p

Kinematic diagram of gear cutting machine 5s280p

Let's consider the main kinematic chains of the 5S280P machine

Main movement- rotation of the gear-cutting head is transmitted from the electric motor 1 through cylindrical wheels 2, 3, 4 to replaceable wheels a - b, and from them through cylindrical wheels 5, 6, 7, 8 - to the gear shaft 9 connected to the internal gear wheel 10, which is mounted on the spindle of the gear cutting head.

Break-in chain driven by electric motor 11 through V-belt transmission 12 - 13 to input shaft I of the feed box.

During the working stroke, rotation from shaft II is transmitted through replaceable gears a 1 - b 1 to shaft III and then through wheels 20-21, coupling 70 to shaft IV, through cylindrical wheels 22, 24, 25, 26, bevel wheels 27, 28, worm a pair of 66-67 cradle. From the worm through conical wheels 29-30, replacement guitar running wheels a 3, b 3, c 3, d 3, shaft XVIII, clutch 71, conical wheels 42, 43, 44, 45, replacement guitar wheels a 4, b 4, c 4, d 4 - to worm 46 and worm wheel 47.

At slow idle, rotation from shaft II is transmitted to shaft IV through wheels 16 - 18, and at fast idle - through wheels 17-19. Further movement from shaft IV to shaft X VIII is carried out in the same way as during the working stroke.

Division occurs during idle speed. From the hydraulic cylinder with the rack, rotation is transmitted to wheel 38, then through wheels 37 - 36 and the differential housing to wheels 35, 34 and shaft XXIV. The hydraulic cylinder and differential housing return to their original position during the power stroke, when the single-tooth clutch engages with shaft XXIV.

From wheel 22 mounted on shaft IV of the feed box, rotation is transmitted from wheel 23 to shaft XXX, then through interchangeable guitar wheels a 5 - b 5, worm gear 52, 53 - to copier shaft XXXII through wheels 54, 55, shaft XXXIII and chain transmission 56, 57-control disk 61.

From shaft VII through replaceable guitar wheels a 2 - b 2, c 2 - d 2, bevel wheels 48 - 49, worm gear 50-51, the modifier disk 69 with an adjustable eccentric rotates. The eccentric of the disk moves the sleeve 68 in the axial direction, in which the cradle worm supports are mounted. The movement of the cradle worm carried out in this way provides a modification of the running-in.


Setting up a semi-automatic machine. The initial data for setting up the machine are the number of teeth of the wheel being cut, the material of the workpiece, the diameter of the milling head, the module of the gear being cut and all the geometric parameters of the gear.

  • Main movement circuit guitar tuning. This chain connects the rotation of the motor shaft 1 and the milling head
  • Setting up the fission circuit. The division circuit is switched on at the end of the table tap.
  • Break-in guitar tuning. This chain connects the rotation of the cradle and the workpiece.
  • Feed chain. The beginning of this circuit is electric motor 11
  • Setting up the control circuit. Replaceable guitar wheels of the control circuit a 5 -b 5 provide the necessary rolling angles of the cradle, change the angular speed of rotation of the copiers
  • Modifier guitar tuning. Modifier 69 has a special device for setting the required eccentricity along the vernier


Required table rotation speeds at different cutter speeds and numbers of teeth of the wheels being cut

  • - If you have cutters made of high-speed steel with a coating and dimensions in accordance with GOST 9324-80, you can cut gears m = 4 with a number of teeth more than 20
  • cutting speed 120–150 m/min- If you have cutters made of high-speed steel coated with TiN with a diameter of 190–200 mm, you can cut gears of any module with a number of teeth more than 8
  • cutting speed 250–300 m/min- If you have cutters with carbide inserts with a diameter of 190–225 mm, you can cut gears of any module with a number of teeth more than 16

From the above it follows that when using modern tools on modernized gear hobbing machines, the productivity of the equipment can be significantly increased. This is especially noticeable in the manufacture of gears with a large number of teeth. This effect is achieved at significantly lower costs for technical re-equipment of the enterprise than when purchasing new equipment, the operation of which will inevitably require a transition to modern high-performance tools.



The cutting head (Fig. 131, a) is made in the form of a disk with grooves into which the cutters are inserted and secured perpendicular to the end plane of the disk. The incisors are external (Fig. 131.6) and internal (Fig. 131.c). In addition, incisors are divided into right-handed and left-handed, differing only in the location of the cutting edges.

Profiles of semi-rolled pair teeth


Cutting bevel wheels with circular teeth using the rolling method is characterized by a long processing cycle. To avoid tooth edges and reduce surface roughness, it is necessary to increase the bending time. A lot of time is also spent on machine idling, tool withdrawal, dividing process, etc. In mass production, gears of spiral bevel and hypoid gears are cut using a high-performance semi-rolling method. In a semi-rolling pair, only a wheel with a small number of teeth is cut by rolling, and a large wheel is cut by a face cutting head or a circular broach using the copying method. The teeth of a semi-rolling pair wheel therefore have not helical, but conical working surfaces, which are exact copies of the producing surfaces described by the cutting edges of the cutters of the end head or broach.

In Fig. 133 thick lines outline the profiles of the semi-rolling pair teeth. For comparison, thin lines show the profiles of the teeth of a regular pair, which are cut by rolling. Such teeth are cut on conventional gear cutting machines with a conical or flat producing wheel. In the latter case, a modification of the run-in is applied. Since only the drive gear is cut using this method, and the driven gear is cut using the copying method, these gears are called semi-rolling, and the cutting method is called semi-rolling.

Working on a gear cutting machine 5S280P

Technical characteristics of gear cutting machine 5S280P

Parameter name 5S280P
Basic machine parameters
The largest diameter of the cut wheels being processed 800
Largest module of the cut wheel, mm 16
The greatest length of the generatrix of the initial cone of the cut wheels at β = 30°, mm 400
The smallest and largest angles of the pitch cone of the bevel wheel, degrees 5°42"..84°18"
Number of teeth of cut wheels 5..150
Maximum height of cut teeth, mm 35
Maximum width of the crown of cut wheels, mm 125
Processing time for one tooth, sec 12..200
The highest gear ratio of cut gears at an angle between the axes of 90° 10
Cradle installation angle, degrees 0..360°
Reading division price on the cradle rotation scale, min 1
Distance from the end of the tool spindle to the center of rotation of the workpiece headstock at the zero position of the sliding base, mm 93
Diameters of gear cutting heads, mm 160, 200, 250, 315, 400, 500
Gear cutting head rotation speed, rpm 20..125
The smallest and largest distance from the end of the spindle of the product headstock to the center of the stack, mm 135..600
Reading accuracy on the scale of the axial position of the headstock, mm 0,02
Installing the headstock at the angle of the internal cone, deg +5..+90
Reading accuracy on the scale of setting the headstock to the angle of the internal cone, min 1
Retraction of the table to the extreme non-working position, mm 130
Vertical installation of the headstock of the product for cutting hypoid wheels up and down, mm 125
Accuracy of reference on the hypoid displacement dial of the headstock, mm 0,02
The largest displacement of the calculated base from the center of the machine to the cradle / from the cradle, mm 30/ 65
Drive and electrical equipment of the machine
Number of electric motors on the machine
Main drive electric motor, kW 7,5
Hydraulic pump electric motor, kW 2,2
Magnetic amplifier of the feed mechanism drive, kW 2,0
Feed mechanism drive electric motor, kW 2,2
Cooling pump electric motor, kW 0,6
Total power of electric motors, kW
Overall dimensions and weight of the machine
Overall dimensions of the machine (length x width x height), mm 3170 x 2180 x 2200
Weight of the machine with electrical equipment and cooling, kg 15189